Metrics for sqrt(a)/pow(2, 1/4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.2%	99.8%	0%	0%	0%	0
100%	0.2%	0%	99.8%	0%	0%	0%	1

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.2s (38.6%)

Memory

148.4MiB live, 614.6MiB allocated

Samples

806.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 519.0ms

ival-pow: 166.0ms (32% of total)

ival-div: 118.0ms (22.7% of total)

ival-sqrt: 103.0ms (19.9% of total)

ival-<=: 85.0ms (16.4% of total)

exact: 26.0ms (5% of total)

ival-and: 16.0ms (3.1% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain118.0ms (3.7%)

Memory

-36.6MiB live, 44.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`a`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`(pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))`
-	-	`#s(literal 4 binary64)`
-	-	`(sqrt.f64 a)`
-	-	`(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

36.0ms

512×

valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-pow: 8.0ms (37.6% of total)

ival-div: 7.0ms (32.9% of total)

ival-sqrt: 4.0ms (18.8% of total)

ival-true: 1.0ms (4.7% of total)

exact: 1.0ms (4.7% of total)

ival-assert: 0.0ms (0% of total)

preprocess12.0ms (0.4%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	30	15
3	42	15
4	52	15
5	64	15
6	80	15
7	91	15
8	94	15
9	95	15
0	8	6
0	13	6
1	15	6
0	15	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))

Outputs
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

Compiler

Compiled 8 to 8 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))

Compiler

Compiled 8 to 8 computations (0% saved)

simplify3.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 a)
cost-diff	0	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	13	16
1	15	16
0	15	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
(sqrt.f64 a)
a
(pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)

Outputs
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 a)
a
(pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(literal 4 binary64)

localize24.0ms (0.7%)

Memory

8.1MiB live, 8.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
accuracy	0.0	(sqrt.f64 a)
accuracy	0.3046875	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))

Samples

17.0ms

256×

valid

Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow: 4.0ms (39.1% of total)

ival-div: 3.0ms (29.3% of total)

ival-sqrt: 2.0ms (19.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series37.0ms (1.2%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
(sqrt.f64 a)
(pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)))

Outputs
(* (pow 1/2 1/4) (sqrt a))
(sqrt a)
(* -1 (* (pow 1/2 1/4) (* (sqrt a) (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	a	@	0	((/ 1 4) (/ (sqrt a) (pow 2 (/ 1 4))) (sqrt a) (pow 2 (/ 1 4)))
7.0ms	a	@	-inf	((/ 1 4) (/ (sqrt a) (pow 2 (/ 1 4))) (sqrt a) (pow 2 (/ 1 4)))
6.0ms	a	@	inf	((/ 1 4) (/ (sqrt a) (pow 2 (/ 1 4))) (sqrt a) (pow 2 (/ 1 4)))

simplify19.0ms (0.6%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	27	16
2	82	16
3	161	16
4	466	16
5	704	16
6	803	16
7	830	16
8	842	16
9	842	16
10	890	16
0	890	16

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

Inputs
(* (pow 1/2 1/4) (sqrt a))
(sqrt a)
(* -1 (* (pow 1/2 1/4) (* (sqrt a) (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))

Outputs
(* (pow 1/2 1/4) (sqrt a))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 a))
(sqrt a)
(sqrt.f64 a)
(* -1 (* (pow 1/2 1/4) (* (sqrt a) (pow (sqrt -1) 2))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 a))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)

rewrite118.0ms (3.7%)

Memory

-45.3MiB live, 33.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
0	13	12
1	31	12
2	98	12
3	471	12
4	3919	12
0	8528	12

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 408

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
(sqrt.f64 a)
(pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)))

Outputs
#s(literal 1/4 binary64)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 a #s(literal -1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (pow.f64 a #s(literal 1/4 binary64)))
(.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 a #s(literal -1/4 binary64)))) (pow.f64 a #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (pow.f64 a #s(literal -1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 a)) (pow.f64 #s(literal 64 binary64) #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 #s(literal 64 binary64) #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 a))) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 a #s(literal 1/4 binary64)))) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))) (pow.f64 a #s(literal 1/8 binary64))) (pow.f64 a #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64)))) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (neg.f64 (pow.f64 a #s(literal 1/4 binary64)))) (pow.f64 a #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 1/4 binary64)))) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 1/4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 a #s(literal 1/4 binary64)))) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(.f64 (neg.f64 (neg.f64 (pow.f64 a #s(literal 1/4 binary64)))) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (sqrt.f64 a)))
(.f64 (/.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(.f64 (/.f64 (neg.f64 (pow.f64 a #s(literal 1/4 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) (/.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64))) (/.f64 (neg.f64 (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))))
(.f64 (/.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64))) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))))
(.f64 (/.f64 (neg.f64 (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64))) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))))
(.f64 (/.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(.f64 (/.f64 (pow.f64 a #s(literal 1/4 binary64)) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))) (/.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64))))
(*.f64 (/.f64 (sqrt.f64 a) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))) (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 a)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64)) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64)) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64)) (/.f64 (neg.f64 (sqrt.f64 a)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)))
(.f64 (.f64 (sqrt.f64 a) (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))))
(.f64 (.f64 (sqrt.f64 a) (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64)))
(.f64 (neg.f64 (pow.f64 a #s(literal 1/4 binary64))) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(.f64 (pow.f64 a #s(literal 1/8 binary64)) (.f64 (pow.f64 a #s(literal 1/8 binary64)) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))) (/.f64 (neg.f64 (pow.f64 a #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))) (/.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))) (neg.f64 (pow.f64 a #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))) (pow.f64 a #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 a #s(literal -1/4 binary64)))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (/.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64))) (/.f64 (neg.f64 (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (/.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (sqrt.f64 a)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (sqrt.f64 a)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (sqrt.f64 a)) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) (sqrt.f64 a)) (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a)) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a)) #s(literal 1 binary64))
(.f64 (pow.f64 a #s(literal 1/4 binary64)) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
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(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (log.f64 #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) (log.f64 (exp.f64 #s(literal 1/4 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(/.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)))
(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/32 binary64)))
(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 64 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)))
(neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/32 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (log.f64 #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (log.f64 #s(literal 4 binary64))))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/32 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/32 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/32 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (-.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) (.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) (.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/8 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/32 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 4 binary64)))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/32 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(+.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))

eval43.0ms (1.4%)

Memory: 36.9MiB live, 36.9MiB allocated
Compiler: Compiled 4 982 to 1 004 computations (79.8% saved)

prune11.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	403	7	410
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	404	7	411

Accuracy

100.0%

Counts

411 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
▶	99.5%	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a)))
▶	99.4%	(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
	99.4%	(.f64 (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)))
	98.9%	(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 #s(literal 64 binary64) #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.0%	(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))

Compiler

Compiled 118 to 116 computations (1.7% saved)

simplify71.0ms (2.2%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 a)
cost-diff	0	(/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
cost-diff	0	(neg.f64 a)
cost-diff	0	(/.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
cost-diff	3	(*.f64 (neg.f64 a) #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 a)
cost-diff	0	(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
cost-diff	0	(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a)))
cost-diff	0	(sqrt.f64 a)
cost-diff	0	(pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
cost-diff	0	(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
cost-diff	0	(sqrt.f64 a)
cost-diff	0	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	108
0	35	103
1	55	102
2	101	100
3	200	100
4	599	100
5	1112	100
6	1535	100
7	1990	100
8	2278	100
9	2424	100
10	2534	100
11	2649	100
12	2821	100
13	2821	100
0	2821	100

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(sqrt.f64 a)
a
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
(pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))
#s(literal 16 binary64)
#s(literal -1/16 binary64)
(sqrt.f64 a)
a
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a)))
#s(literal 1 binary64)
(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)
(sqrt.f64 a)
a
(/.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(*.f64 (neg.f64 a) #s(literal -1 binary64))
(neg.f64 a)
a
#s(literal -1 binary64)
(*.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(sqrt.f64 a)
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 a)
a
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)

Outputs
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(sqrt.f64 a)
a
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
(pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))
#s(literal 16 binary64)
#s(literal -1/16 binary64)
(sqrt.f64 a)
a
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a)))
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
#s(literal 1 binary64)
(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)
(sqrt.f64 a)
a
(/.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(/.f64 (/.f64 a (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 a))
(*.f64 (neg.f64 a) #s(literal -1 binary64))
a
(neg.f64 a)
a
#s(literal -1 binary64)
(*.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))
(sqrt.f64 a)
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 a)
a
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)

localize66.0ms (2.1%)

Memory

-55.8MiB live, 23.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 a)
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.3515625	(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
accuracy	0.46455004884221013	(/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 a)
accuracy	0.0	(neg.f64 a)
accuracy	0.23828125	(/.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
accuracy	0.2734375	(*.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
accuracy	0.0	(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
accuracy	0.0	(sqrt.f64 a)
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a)))
accuracy	0.30859375	(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))
accuracy	0.0	(pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))
accuracy	0.0	(sqrt.f64 a)
accuracy	0.38119125976844204	(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
accuracy	0.0	(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
accuracy	0.0	(sqrt.f64 a)
accuracy	0.3046875	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))

Samples

44.0ms

256×

valid

Compiler

Compiled 110 to 23 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 8.0ms (28.4% of total)

ival-pow: 8.0ms (28.4% of total)

ival-mult: 6.0ms (21.3% of total)

ival-sqrt: 4.0ms (14.2% of total)

exact: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series73.0ms (2.3%)

Memory

50.7MiB live, 50.7MiB allocated

Counts

14 → 13

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(sqrt.f64 a)
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
(pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a)))
(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))
(*.f64 (neg.f64 a) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(neg.f64 a)
(*.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(* (pow 1/16 1/16) (sqrt a))
(sqrt a)
(* (pow 16 1/16) (sqrt (/ 1 a)))
a
(* -1 a)
(* (pow 16 1/16) (sqrt a))
(* (pow 16 1/16) (* (sqrt a) (/ 1 (sqrt 2))))
(* (sqrt a) (/ 1 (sqrt 2)))
(* -1 (* (pow 1/16 1/16) (* (sqrt a) (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (pow 16 1/16) (* (sqrt a) (pow (sqrt -1) 2))))
(* -1 (* (pow 16 1/16) (* (sqrt a) (/ (pow (sqrt -1) 2) (sqrt 2)))))
(* -1 (* (sqrt a) (/ (pow (sqrt -1) 2) (sqrt 2))))

Calls

3 calls:

Time	Variable		Point	Expression
35.0ms	a	@	0	((/ (sqrt a) (pow 16 1/16)) (sqrt a) (pow 16 1/16) (* (pow 16 -1/16) (sqrt a)) (pow 16 -1/16) (/ 1 (/ (pow 16 1/16) (sqrt a))) (/ (pow 16 1/16) (sqrt a)) (* (neg a) -1) (/ (* (neg a) -1) (* (sqrt a) (pow 16 1/16))) (neg a) (* (sqrt a) (pow 16 1/16)) (* (/ (sqrt a) (sqrt 2)) (pow 16 1/16)) (/ (sqrt a) (sqrt 2)) (sqrt 2))
20.0ms	a	@	-inf	((/ (sqrt a) (pow 16 1/16)) (sqrt a) (pow 16 1/16) (* (pow 16 -1/16) (sqrt a)) (pow 16 -1/16) (/ 1 (/ (pow 16 1/16) (sqrt a))) (/ (pow 16 1/16) (sqrt a)) (* (neg a) -1) (/ (* (neg a) -1) (* (sqrt a) (pow 16 1/16))) (neg a) (* (sqrt a) (pow 16 1/16)) (* (/ (sqrt a) (sqrt 2)) (pow 16 1/16)) (/ (sqrt a) (sqrt 2)) (sqrt 2))
18.0ms	a	@	inf	((/ (sqrt a) (pow 16 1/16)) (sqrt a) (pow 16 1/16) (* (pow 16 -1/16) (sqrt a)) (pow 16 -1/16) (/ 1 (/ (pow 16 1/16) (sqrt a))) (/ (pow 16 1/16) (sqrt a)) (* (neg a) -1) (/ (* (neg a) -1) (* (sqrt a) (pow 16 1/16))) (neg a) (* (sqrt a) (pow 16 1/16)) (* (/ (sqrt a) (sqrt 2)) (pow 16 1/16)) (/ (sqrt a) (sqrt 2)) (sqrt 2))

Time

Variable

Point

Expression

35.0ms

((/ (sqrt a) (pow 16 1/16)) (sqrt a) (pow 16 1/16) (* (pow 16 -1/16) (sqrt a)) (pow 16 -1/16) (/ 1 (/ (pow 16 1/16) (sqrt a))) (/ (pow 16 1/16) (sqrt a)) (* (neg a) -1) (/ (* (neg a) -1) (* (sqrt a) (pow 16 1/16))) (neg a) (* (sqrt a) (pow 16 1/16)) (* (/ (sqrt a) (sqrt 2)) (pow 16 1/16)) (/ (sqrt a) (sqrt 2)) (sqrt 2))

20.0ms

-inf

((/ (sqrt a) (pow 16 1/16)) (sqrt a) (pow 16 1/16) (* (pow 16 -1/16) (sqrt a)) (pow 16 -1/16) (/ 1 (/ (pow 16 1/16) (sqrt a))) (/ (pow 16 1/16) (sqrt a)) (* (neg a) -1) (/ (* (neg a) -1) (* (sqrt a) (pow 16 1/16))) (neg a) (* (sqrt a) (pow 16 1/16)) (* (/ (sqrt a) (sqrt 2)) (pow 16 1/16)) (/ (sqrt a) (sqrt 2)) (sqrt 2))

18.0ms

inf

((/ (sqrt a) (pow 16 1/16)) (sqrt a) (pow 16 1/16) (* (pow 16 -1/16) (sqrt a)) (pow 16 -1/16) (/ 1 (/ (pow 16 1/16) (sqrt a))) (/ (pow 16 1/16) (sqrt a)) (* (neg a) -1) (/ (* (neg a) -1) (* (sqrt a) (pow 16 1/16))) (neg a) (* (sqrt a) (pow 16 1/16)) (* (/ (sqrt a) (sqrt 2)) (pow 16 1/16)) (/ (sqrt a) (sqrt 2)) (sqrt 2))

simplify219.0ms (6.9%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	75
1	72	67
2	214	67
3	655	67
4	1296	67
5	2290	67
6	3222	67
7	3492	67
8	3617	67
9	3769	67
10	3807	67
11	4177	67
12	4637	67
13	4965	67
14	5103	67
15	5285	67
16	5313	67
17	5341	67
18	5341	67
19	5341	67
20	5737	67
21	7445	67
0	8033	67

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 12

Calls

Call 1

Inputs
(* (pow 1/16 1/16) (sqrt a))
(sqrt a)
(* (pow 16 1/16) (sqrt (/ 1 a)))
a
(* -1 a)
(* (pow 16 1/16) (sqrt a))
(* (pow 16 1/16) (* (sqrt a) (/ 1 (sqrt 2))))
(* (sqrt a) (/ 1 (sqrt 2)))
(* -1 (* (pow 1/16 1/16) (* (sqrt a) (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (pow 16 1/16) (* (sqrt a) (pow (sqrt -1) 2))))
(* -1 (* (pow 16 1/16) (* (sqrt a) (/ (pow (sqrt -1) 2) (sqrt 2)))))
(* -1 (* (sqrt a) (/ (pow (sqrt -1) 2) (sqrt 2))))

Outputs
(* (pow 1/16 1/16) (sqrt a))
(*.f64 (sqrt.f64 a) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)))
(sqrt a)
(sqrt.f64 a)
(* (pow 16 1/16) (sqrt (/ 1 a)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
a
(* -1 a)
(neg.f64 a)
(* (pow 16 1/16) (sqrt a))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))
(* (pow 16 1/16) (* (sqrt a) (/ 1 (sqrt 2))))
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(* (sqrt a) (/ 1 (sqrt 2)))
(/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow 1/16 1/16) (* (sqrt a) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (pow 16 1/16) (* (sqrt a) (pow (sqrt -1) 2))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))
(* -1 (* (pow 16 1/16) (* (sqrt a) (/ (pow (sqrt -1) 2) (sqrt 2)))))
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(* -1 (* (sqrt a) (/ (pow (sqrt -1) 2) (sqrt 2))))
(/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64)))

rewrite171.0ms (5.4%)

Memory

-58.0MiB live, 52.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	73
0	35	64
1	101	63
2	457	61
3	2872	61
0	8294	61

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

14 → 1 534

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(sqrt.f64 a)
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
(pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a)))
(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a))
(*.f64 (neg.f64 a) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(neg.f64 a)
(*.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(*.f64 (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 a)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) (pow.f64 #s(literal 256 binary64) #s(literal -1/128 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal -1/128 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (pow.f64 a #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a))) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (neg.f64 (sqrt.f64 a))) #s(literal -1 binary64)) a)
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (neg.f64 (sqrt.f64 a))) #s(literal 1 binary64)) (neg.f64 a))
(.f64 (.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (sqrt.f64 a))
(*.f64 (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (sqrt.f64 a))
(*.f64 (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (/.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 a)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 a))) (/.f64 (neg.f64 a) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))))
(.f64 (/.f64 (neg.f64 a) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 a))) (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 a)) #s(literal -1 binary64)) (/.f64 a (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))))
(*.f64 (/.f64 (neg.f64 a) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))))
(.f64 (/.f64 (neg.f64 a) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 a))))
(*.f64 (/.f64 a (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))))
(.f64 (/.f64 a (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) (pow.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 a) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))) (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (neg.f64 (sqrt.f64 a))))
(.f64 (.f64 a (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64))) (/.f64 (neg.f64 (sqrt.f64 a)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64))) (/.f64 (neg.f64 a) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64)) (sqrt.f64 a))))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)))
(.f64 (pow.f64 a #s(literal 1/4 binary64)) (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (/.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/128 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/128 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a))))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64))) (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (neg.f64 (sqrt.f64 a))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (.f64 (neg.f64 a) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))))
(.f64 (.f64 (neg.f64 a) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (neg.f64 (sqrt.f64 a))) (neg.f64 a))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (/.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (pow.f64 a #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)))
(.f64 (pow.f64 a #s(literal -1/2 binary64)) (.f64 a (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) a)
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a))
(*.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))) (neg.f64 (sqrt.f64 a)))
(*.f64 (neg.f64 (sqrt.f64 a)) (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (sqrt.f64 a)) (.f64 (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (neg.f64 (sqrt.f64 a))))
(*.f64 (neg.f64 a) (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (neg.f64 (sqrt.f64 a))))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)))
(.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 a) (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 a) (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)))
(*.f64 a (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 a))))
(pow.f64 (.f64 (.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/64 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 a)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal -1/64 binary64))) #s(literal 2 binary64))
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(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
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eval124.0ms (3.9%)

Memory: 26.5MiB live, 105.7MiB allocated
Compiler: Compiled 16 642 to 2 727 computations (83.6% saved)

prune24.0ms (0.8%)

Memory

-31.4MiB live, 44.5MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 186	3	1 189
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	1 191	5	1 196

Accuracy

100.0%

Counts

1 196 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) a) (sqrt.f64 a))
✓	99.5%	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
	99.5%	(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) a)))
✓	99.4%	(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))) (sqrt.f64 a))

Compiler

Compiled 127 to 83 computations (34.6% saved)

regimes9.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) a)))
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64))) (sqrt.f64 a))
(/.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal -1/64 binary64)) a) (sqrt.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 a)))
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
(/.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) (.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 #s(literal 64 binary64) #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 8 binary64) #s(literal -1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/64 binary64)) (sqrt.f64 a)))

Outputs
(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))

Calls

3 calls:

3.0ms	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
3.0ms	(sqrt.f64 a)
3.0ms	a

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))`
99.5%	1	`(sqrt.f64 a)`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) a)))

Outputs
(.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) a)))

Calls

3 calls:

1.0ms	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
1.0ms	(sqrt.f64 a)
1.0ms	a

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))`
99.5%	1	`(sqrt.f64 a)`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))

Outputs
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))

Calls

3 calls:

1.0ms	(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))
1.0ms	(sqrt.f64 a)
1.0ms	a

Results

Accuracy	Segments	Branch
99.4%	1	`a`
99.4%	1	`(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 4 binary64))))`
99.4%	1	`(sqrt.f64 a)`

Compiler

Compiled 11 to 11 computations (0% saved)

simplify10.0ms (0.3%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))

(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) a)))

(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))

Outputs

(/.f64 (sqrt.f64 a) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))

(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) a)))

(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 a))

soundness759.0ms (23.7%)

Memory

17.1MiB live, 17.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	73
0	35	64
1	101	63
2	457	61
3	2872	61
0	8294	61
0	8	12
0	13	12
1	31	12
2	98	12
3	471	12
4	3919	12
0	8528	12

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 83 to 58 computations (30.1% saved)

preprocess45.0ms (1.4%)

Memory: -64.5MiB live, 14.0MiB allocated
Compiler: Compiled 56 to 48 computations (14.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	15
1	22	15
2	30	15
3	42	15
4	52	15
5	64	15
6	80	15
7	91	15
8	94	15
9	95	15
0	8	6
0	13	6
1	15	6
0	15	6

Iter	Nodes	Cost
0	14	16
1	27	16
2	82	16
3	161	16
4	466	16
5	704	16
6	803	16
7	830	16
8	842	16
9	842	16
10	890	16
0	890	16

Iter	Nodes	Cost
0	11	15
1	22	15
2	30	15
3	42	15
4	52	15
5	64	15
6	80	15
7	91	15
8	94	15
9	95	15
0	8	6
0	13	6
1	15	6
0	15	6

Iter	Nodes	Cost
0	14	16
1	27	16
2	82	16
3	161	16
4	466	16
5	704	16
6	803	16
7	830	16
8	842	16
9	842	16
10	890	16
0	890	16

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (38.6%)

explain118.0ms (3.7%)

preprocess12.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize24.0ms (0.7%)

series37.0ms (1.2%)

simplify19.0ms (0.6%)

rewrite118.0ms (3.7%)

eval43.0ms (1.4%)

prune11.0ms (0.3%)

simplify71.0ms (2.2%)

localize66.0ms (2.1%)

series73.0ms (2.3%)

simplify219.0ms (6.9%)

rewrite171.0ms (5.4%)

eval124.0ms (3.9%)

prune24.0ms (0.8%)

regimes9.0ms (0.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify10.0ms (0.3%)

soundness759.0ms (23.7%)

preprocess45.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	15
1	22	15
2	30	15
3	42	15
4	52	15
5	64	15
6	80	15
7	91	15
8	94	15
9	95	15
0	8	6
0	13	6
1	15	6
0	15	6

Iter	Nodes	Cost
0	14	16
1	27	16
2	82	16
3	161	16
4	466	16
5	704	16
6	803	16
7	830	16
8	842	16
9	842	16
10	890	16
0	890	16