Metrics for sqrt D (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample704.0ms (5.8%)

Memory

-13.6MiB live, 784.6MiB allocated

Samples

505.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 306.0ms

ival-pow2: 151.0ms (49.4% of total)

ival-mult: 72.0ms (23.6% of total)

ival-sqrt: 68.0ms (22.3% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain130.0ms (1.1%)

Memory

30.0MiB live, 106.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
117	-	4	(3.4687283771354995e-157)	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	58	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	underflow	58
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	58
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	55	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	overflow	55
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	55

Confusion

	Predicted +	Predicted -
+	113	4
-	0	139

Precision

1.0

Recall

0.9658119658119658

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	4
-	0	0	139

Precision?

1.0

Recall?

0.9658119658119658

Freqs

test

number	freq
0	143
1	113

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 74 to 37 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 37.0ms (76.5% of total)

ival-pow2: 6.0ms (12.4% of total)

ival-sqrt: 4.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.2%)

Memory

-15.6MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff	6144	(pow.f64 x #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	10	16
2	14	16
3	16	16
0	16	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x

Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x

localize17.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	26.524262257608502	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Samples

12.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow2: 3.0ms (45.2% of total)

ival-mult: 2.0ms (30.1% of total)

ival-sqrt: 2.0ms (30.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-48.4MiB live, 4.9MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Outputs
(pow x 2)
(* x (sqrt 2))
(* 2 (pow x 2))
(* -1 (* x (sqrt 2)))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((pow x 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)))
1.0ms	x	@	inf	((pow x 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)))
1.0ms	x	@	-inf	((pow x 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)))

simplify4.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	15	17
2	32	17
3	38	17
4	42	17
5	54	17
6	66	17
7	77	17
8	97	17
9	102	17
0	102	17

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

Inputs
(pow x 2)
(* x (sqrt 2))
(* 2 (pow x 2))
(* -1 (* x (sqrt 2)))

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

rewrite124.0ms (1%)

Memory

1.1MiB live, 113.9MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6179	4
0	9030	4

Stop Event

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

Counts

3 → 46

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

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

eval6.0ms (0%)

Memory: 12.3MiB live, 12.3MiB allocated
Compiler: Compiled 405 to 127 computations (68.6% saved)

prune2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Accuracy

99.7%

Counts

51 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	58.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
▶	5.4%	(sqrt.f64 #s(literal 2 binary64))
▶	49.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 28 to 25 computations (10.7% saved)

simplify6.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (pow x 2) (*.f64 x x))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(literal 2 binary64)
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(sqrt.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
(.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize47.0ms (0.4%)

Memory

-18.4MiB live, 61.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.40234375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (pow x 2) (*.f64 x x))
accuracy	0.0078125	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
accuracy	26.524262257608502	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.40234375	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	32.271449572482034	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Samples

32.0ms

256×

valid

Compiler

Compiled 114 to 27 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (43.8% of total)

ival-pow2: 8.0ms (35.1% of total)

ival-sqrt: 3.0ms (13.1% of total)

ival-neg: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

9 → 5

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* 2 (pow x 2))
(pow x 2)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))
1.0ms	x	@	-inf	((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))
1.0ms	x	@	0	((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

Time

Variable

Point

Expression

1.0ms

inf

((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

1.0ms

-inf

((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

1.0ms

((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

simplify4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	17	19
2	33	19
3	38	19
4	46	19
5	57	19
6	68	19
7	90	19
8	101	19
9	101	19
0	101	19

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 5

Calls

Call 1

Inputs
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* 2 (pow x 2))
(pow x 2)

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

rewrite133.0ms (1.1%)

Memory

-13.0MiB live, 147.4MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	21	55
1	46	53
2	112	53
3	469	53
4	3782	49
0	8399	49

Stop Event

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

Counts

9 → 835

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 x))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 x x))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (.f64 x x)) x)
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 x x))
(.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 x))
(.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(.f64 (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))
(.f64 (neg.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -2 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64))
(.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) x)
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (.f64 (.f64 x x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 x x))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) x)
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x))
(/.f64 (neg.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))) (.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (*.f64 x #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 x x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (.f64 x x)) x (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (.f64 x x)) x (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 x x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
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(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))

eval93.0ms (0.8%)

Memory: 25.5MiB live, 98.4MiB allocated
Compiler: Compiled 10 072 to 1 621 computations (83.9% saved)

prune24.0ms (0.2%)

Memory

1.8MiB live, 43.1MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	566	12	578
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	566	16	582

Accuracy

100.0%

Counts

582 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
✓	52.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	58.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))
✓	58.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.4%	(sqrt.f64 #s(literal 2 binary64))
	30.7%	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
▶	30.7%	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
▶	32.0%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
▶	52.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
	35.9%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
	32.0%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 x x)))
	49.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	49.3%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
▶	51.3%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
	49.1%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
✓	49.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 376 to 297 computations (21% saved)

simplify170.0ms (1.4%)

Memory

-6.9MiB live, 105.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
cost-diff	0	(pow.f64 x #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
cost-diff	6848	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
cost-diff	640	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
cost-diff	0	#s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
cost-diff	0	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))
cost-diff	6848	(/.f64 x (pow.f64 x #s(literal -1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	177
0	45	175
1	63	171
2	98	157
3	155	157
4	345	157
5	926	157
6	1631	157
7	1736	157
8	1836	157
9	1983	157
10	2194	157
11	2475	157
12	4063	157
13	5078	157
14	5562	157
15	5811	157
16	5901	157
17	5969	157
18	6037	157
19	7631	157
0	8159	157

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
#s(literal 2 binary64)
#s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
x
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 1/4 binary64)

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

localize110.0ms (0.9%)

Memory

-3.5MiB live, 126.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
accuracy	22.77206757544297	(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
accuracy	0	(pow.f64 x #s(literal -1 binary64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
accuracy	0.236660009768442	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
accuracy	0.18359375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	13.424298180332416	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
accuracy	0.189785009768442	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0	#s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
accuracy	0.00390625	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
accuracy	0.0859375	(/.f64 x (pow.f64 x #s(literal -1 binary64)))
accuracy	13.307110913779423	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))

Samples

47.0ms	132×	0	valid
30.0ms	124×	0	invalid

Compiler

Compiled 304 to 54 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 27.0ms (44.1% of total)

ival-pow: 13.0ms (21.2% of total)

ival-pow2: 9.0ms (14.7% of total)

ival-sqrt: 6.0ms (9.8% of total)

ival-div: 5.0ms (8.2% of total)

exact: 1.0ms (1.6% of total)

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

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

series96.0ms (0.8%)

Memory

5.0MiB live, 82.3MiB allocated

Counts

21 → 16

Calls

Call 1

Inputs
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
#s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 x #s(literal -1 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

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

Calls

3 calls:

Time

Variable

Point

Expression

44.0ms

inf

((/ x (pow x -1)) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (sqrt (* 2 (pow x 2))) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (/ (* (* x 2) x) (* (sqrt 2) x)) (sqrt (* 2 (pow x 2))) (* (* x 2) x) (/ (sqrt 2) (pow x -1)) (sqrt (* 2 (pow x 2))) (sqrt 2) (pow x -1) (sqrt (* 2 (pow x 2))) (pow (* 4 (pow x 4)) 1/4) (* 4 (pow x 4)) (pow x 4) (sqrt x) (* (sqrt 2) x))

41.0ms

((/ x (pow x -1)) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (sqrt (* 2 (pow x 2))) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (/ (* (* x 2) x) (* (sqrt 2) x)) (sqrt (* 2 (pow x 2))) (* (* x 2) x) (/ (sqrt 2) (pow x -1)) (sqrt (* 2 (pow x 2))) (sqrt 2) (pow x -1) (sqrt (* 2 (pow x 2))) (pow (* 4 (pow x 4)) 1/4) (* 4 (pow x 4)) (pow x 4) (sqrt x) (* (sqrt 2) x))

10.0ms

-inf

((/ x (pow x -1)) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (sqrt (* 2 (pow x 2))) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (/ (* (* x 2) x) (* (sqrt 2) x)) (sqrt (* 2 (pow x 2))) (* (* x 2) x) (/ (sqrt 2) (pow x -1)) (sqrt (* 2 (pow x 2))) (sqrt 2) (pow x -1) (sqrt (* 2 (pow x 2))) (pow (* 4 (pow x 4)) 1/4) (* 4 (pow x 4)) (pow x 4) (sqrt x) (* (sqrt 2) x))

simplify300.0ms (2.5%)

Memory

20.1MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 28 (0.0ms)

Iter	Nodes	Cost
0	33	74
1	71	74
2	165	74
3	295	74
4	533	74
5	860	74
6	1403	74
7	1534	74
8	1637	74
9	1853	74
10	2257	74
11	2777	74
12	2848	74
13	2874	74
14	2883	74
15	2883	74
16	2883	74
17	2917	74
18	3673	74
19	4644	74
20	5264	74
21	5340	74
22	5366	74
23	5386	74
24	6275	74
25	6493	74
26	6659	74
27	6819	74
28	6895	73
29	7316	73
0	8148	73

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite134.0ms (1.1%)

Memory

-3.1MiB live, 120.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	156
0	45	154
1	120	116
2	428	116
0	3940	116

Stop Event

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

Counts

21 → 831

Calls

Call 1

Inputs
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
#s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 x #s(literal -1 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (log.f64 x) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(approx (pow x 2) (*.f64 x x))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(approx (pow x 2) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(approx (pow x 2) (*.f64 x x)))))
(.f64 (sqrt.f64 #s(approx (pow x 2) (.f64 x x))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (pow x 2) (.f64 x x))))
(pow.f64 (exp.f64 (log.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (pow x 2) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (pow x 2) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(approx (pow x 2) (*.f64 x x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64))
(/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(exp.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64) (log.f64 x)))

eval119.0ms (1%)

Memory: -7.7MiB live, 146.7MiB allocated
Compiler: Compiled 12 626 to 2 362 computations (81.3% saved)

prune17.0ms (0.1%)

Memory

14.2MiB live, 51.4MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	689	4	693
Fresh	4	3	7
Picked	5	0	5
Done	0	4	4
Total	698	11	709

Accuracy

100.0%

Counts

709 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	58.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
✓	58.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.4%	(sqrt.f64 #s(literal 2 binary64))
▶	30.7%	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64)))
▶	52.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
	48.0%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))))
▶	49.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	49.3%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
▶	49.1%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
✓	49.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 246 to 191 computations (22.4% saved)

simplify36.0ms (0.3%)

Memory

-38.7MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
cost-diff	6464	(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
cost-diff	0	(pow.f64 x #s(literal -1 binary64))
cost-diff	0	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	7040	(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(.f64 #s(literal 4 binary64) (.f64 x x))
cost-diff	0	(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64)))
cost-diff	320	(.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x)
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
cost-diff	6848	(/.f64 x (/.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	198
0	53	203
1	84	167
2	140	161
3	240	161
4	355	161
5	470	161
6	593	161
7	765	161
8	826	161
9	875	161
10	891	161
11	912	161
0	912	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(literal 2 binary64)
#s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x)
(.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(.f64 #s(literal 4 binary64) (.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal -1 binary64))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(neg.f64 x)
x
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
#s(literal 2 binary64)

Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow x 2) (*.f64 x x))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 x)
#s(literal -1 binary64)
(pow.f64 x #s(literal -1 binary64))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(neg.f64 x)
x
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
#s(literal 2 binary64)

localize89.0ms (0.7%)

Memory

11.0MiB live, 168.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.40234375	(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
accuracy	1.0	(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
accuracy	32.271449572482034	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
accuracy	0.00390625	(pow.f64 x #s(literal -1 binary64))
accuracy	0.18359375	(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
accuracy	0.40234375	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	32.271449572482034	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.015625	(.f64 #s(literal 4 binary64) (.f64 x x))
accuracy	0.0625	(.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x)
accuracy	0.08203125	(.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) x)
accuracy	44.3373995991998	(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.44140625	(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	30.21769385629146	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	#s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
accuracy	0.0078125	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
accuracy	0.17578125	(/.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy	26.524262257608502	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))

Samples

66.0ms

256×

valid

Compiler

Compiled 343 to 64 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-pow: 15.0ms (30.4% of total)

ival-div: 12.0ms (24.3% of total)

ival-mult: 11.0ms (22.3% of total)

ival-pow2: 6.0ms (12.2% of total)

ival-sqrt: 3.0ms (6.1% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series70.0ms (0.6%)

Memory

15.7MiB live, 53.3MiB allocated

Counts

21 → 13

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x)
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
(.f64 #s(literal 4 binary64) (.f64 x x))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(neg.f64 x)
(.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) x)

Outputs
(pow x 2)
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (/ x (sqrt 2)))
(* 2 x)
(* 4 (pow x 4))
(* (pow 4 1/4) x)
(* 4 (pow x 2))
(* -1 x)
(* -1 (* x (sqrt 2)))
(/ 1 x)
(* -1 (* (pow 4 1/4) x))
(* 4 (pow x 3))

Calls

3 calls:

Time

Variable

Point

Expression

49.0ms

inf

((/ x (/ 1 x)) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (sqrt (* 2 (pow x 2))) (/ (* 2 x) (sqrt 2)) (* 2 x) (sqrt 2) (* (* (* 4 (* x x)) x) x) (sqrt (* 2 (pow x 2))) (pow (* (* (* 4 (* x x)) x) x) 1/4) (* 4 (* x x)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (pow (pow 4 1/8) 2) (sqrt (* 2 (pow x 2))) (* (neg x) (pow (pow 4 1/8) 2)) (neg x) (* (* 4 (* x x)) x))

11.0ms

((/ x (/ 1 x)) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (sqrt (* 2 (pow x 2))) (/ (* 2 x) (sqrt 2)) (* 2 x) (sqrt 2) (* (* (* 4 (* x x)) x) x) (sqrt (* 2 (pow x 2))) (pow (* (* (* 4 (* x x)) x) x) 1/4) (* 4 (* x x)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (pow (pow 4 1/8) 2) (sqrt (* 2 (pow x 2))) (* (neg x) (pow (pow 4 1/8) 2)) (neg x) (* (* 4 (* x x)) x))

9.0ms

-inf

((/ x (/ 1 x)) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (sqrt (* 2 (pow x 2))) (/ (* 2 x) (sqrt 2)) (* 2 x) (sqrt 2) (* (* (* 4 (* x x)) x) x) (sqrt (* 2 (pow x 2))) (pow (* (* (* 4 (* x x)) x) x) 1/4) (* 4 (* x x)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (pow (pow 4 1/8) 2) (sqrt (* 2 (pow x 2))) (* (neg x) (pow (pow 4 1/8) 2)) (neg x) (* (* 4 (* x x)) x))

simplify7.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	57
1	48	57
2	79	57
3	92	57
4	106	57
5	124	57
6	142	57
7	194	57
8	225	57
9	226	57
0	226	57

Stop Event

1×	iter limit
1×	saturated

Counts

13 → 13

Calls

Call 1

Inputs
(pow x 2)
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (/ x (sqrt 2)))
(* 2 x)
(* 4 (pow x 4))
(* (pow 4 1/4) x)
(* 4 (pow x 2))
(* -1 x)
(* -1 (* x (sqrt 2)))
(/ 1 x)
(* -1 (* (pow 4 1/4) x))
(* 4 (pow x 3))

Outputs
(pow x 2)
(*.f64 x x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* 4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))

rewrite306.0ms (2.5%)

Memory

-24.1MiB live, 131.2MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	172
0	53	154
1	150	128
2	507	126
3	3531	108
0	8578	108

Stop Event

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

Counts

21 → 1 482

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x)
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
(.f64 #s(literal 4 binary64) (.f64 x x))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(neg.f64 x)
(.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) x)

Outputs
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 x x)) (sqrt.f64 x))
(/.f64 (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 x (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 x (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 x x))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 x x) #s(literal 0 binary64))
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(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 16 binary64)) (log.f64 (sqrt.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 16 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
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(exp.f64 (.f64 (log.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 1/8 binary64)))
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(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 x x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal 2 binary64))) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
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(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x #s(literal -1 binary64))
(/.f64 x #s(literal 1 binary64))
(neg.f64 x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(sqrt.f64 (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 #s(literal 0 binary64) x)
(fabs.f64 x)
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64) (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/4 binary64) (.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/4 binary64) (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64) (.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64) (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 x))
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
x
(.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (.f64 #s(literal -4 binary64) x) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal -1 binary64)) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal -4 binary64) (.f64 x x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -4 binary64) x) (*.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -4 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 #s(literal -4 binary64) x))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
(.f64 x (.f64 #s(literal -4 binary64) (*.f64 x x)))
(/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal -4 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal -4 binary64) (*.f64 x x))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) (*.f64 x x)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))

eval92.0ms (0.8%)

Memory: 6.3MiB live, 158.3MiB allocated
Compiler: Compiled 14 135 to 2 858 computations (79.8% saved)

prune19.0ms (0.2%)

Memory

20.5MiB live, 59.1MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	799	2	801
Fresh	2	0	2
Picked	4	1	5
Done	0	4	4
Total	805	7	812

Accuracy

100.0%

Counts

812 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	58.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.4%	(sqrt.f64 #s(literal 2 binary64))
	49.3%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	52.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
	49.3%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	49.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 363 to 149 computations (59% saved)

regimes28.0ms (0.2%)

Memory

7.9MiB live, 45.6MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 x x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))))

Outputs

#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))

(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

4 calls:

8.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
7.0ms	x
6.0ms	(pow.f64 x #s(literal 2 binary64))
6.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
79.2%	3	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
79.2%	3	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
79.2%	3	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes40.0ms (0.3%)

Memory

-45.4MiB live, 18.5MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 x x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 x x)))

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
52.5%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
52.5%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
52.5%	1	`(pow.f64 x #s(literal 2 binary64))`
54.2%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes23.0ms (0.2%)

Memory

-19.9MiB live, 17.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))

Outputs
(sqrt.f64 #s(literal 2 binary64))

Calls

4 calls:

19.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms	x
1.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
5.4%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
5.4%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
5.4%	1	`(pow.f64 x #s(literal 2 binary64))`
5.4%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch14.0ms (0.1%)

Memory

5.3MiB live, 42.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.5831676273051572e-307	4.590111535534674e-307

Samples

8.0ms

128×

valid

Compiler

Compiled 177 to 153 computations (13.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-pow2: 2.0ms (58.4% of total)

ival-mult: 1.0ms (29.2% of total)

ival-sqrt: 1.0ms (29.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.5831676273051572e-307	4.590111535534674e-307

Compiler

Compiled 145 to 145 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.5831676273051572e-307	4.590111535534674e-307

Compiler

Compiled 145 to 145 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.5831676273051572e-307	4.590111535534674e-307

Compiler

Compiled 137 to 137 computations (0% saved)

bsearch15.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1.1578837904354115e-195	-2.9819674645632823e-225

Samples

8.0ms

176×

valid

Compiler

Compiled 75 to 108 computations (-44% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-pow2: 2.0ms (44.9% of total)

ival-mult: 1.0ms (22.4% of total)

ival-sqrt: 1.0ms (22.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify116.0ms (0.9%)

Memory

-41.0MiB live, 42.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	99
1	48	99
2	63	99
3	78	99
4	84	99
5	86	99

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 2 binary64))

soundness9.0s (73.9%)

Memory

35.9MiB live, 550.5MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	172
0	53	154
1	150	128
2	507	126
3	3531	108
0	8578	108
0	8	17
1	15	17
2	32	17
3	38	17
4	42	17
5	54	17
6	66	17
7	77	17
8	97	17
9	102	17
0	102	17
0	14	54
0	21	55
1	46	53
2	112	53
3	469	53
4	3782	49
0	8399	49
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6179	4
0	9030	4
0	29	156
0	45	154
1	120	116
2	428	116
0	3940	116

Stop Event

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

Compiler

Compiled 202 to 118 computations (41.6% saved)

preprocess33.0ms (0.3%)

Memory: -2.8MiB live, 70.4MiB allocated
Compiler: Compiled 210 to 78 computations (62.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Iter	Nodes	Cost
0	34	198
0	53	203
1	84	167
2	140	161
3	240	161
4	355	161
5	470	161
6	593	161
7	765	161
8	826	161
9	875	161
10	891	161
11	912	161
0	912	161

Iter	Nodes	Cost
0	25	57
1	48	57
2	79	57
3	92	57
4	106	57
5	124	57
6	142	57
7	194	57
8	225	57
9	226	57
0	226	57

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Iter	Nodes	Cost
0	34	198
0	53	203
1	84	167
2	140	161
3	240	161
4	355	161
5	470	161
6	593	161
7	765	161
8	826	161
9	875	161
10	891	161
11	912	161
0	912	161

Iter	Nodes	Cost
0	25	57
1	48	57
2	79	57
3	92	57
4	106	57
5	124	57
6	142	57
7	194	57
8	225	57
9	226	57
0	226	57

start0.0ms (0%)

analyze0.0ms (0%)

sample704.0ms (5.8%)

explain130.0ms (1.1%)

preprocess20.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize17.0ms (0.1%)

series13.0ms (0.1%)

simplify4.0ms (0%)

rewrite124.0ms (1%)

eval6.0ms (0%)

prune2.0ms (0%)

simplify6.0ms (0%)

localize47.0ms (0.4%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite133.0ms (1.1%)

eval93.0ms (0.8%)

prune24.0ms (0.2%)

simplify170.0ms (1.4%)

localize110.0ms (0.9%)

series96.0ms (0.8%)

simplify300.0ms (2.5%)

rewrite134.0ms (1.1%)

eval119.0ms (1%)

prune17.0ms (0.1%)

simplify36.0ms (0.3%)

localize89.0ms (0.7%)

series70.0ms (0.6%)

simplify7.0ms (0.1%)

rewrite306.0ms (2.5%)

eval92.0ms (0.8%)

prune19.0ms (0.2%)

regimes28.0ms (0.2%)

regimes40.0ms (0.3%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes23.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

simplify116.0ms (0.9%)

soundness9.0s (73.9%)

preprocess33.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Iter	Nodes	Cost
0	34	198
0	53	203
1	84	167
2	140	161
3	240	161
4	355	161
5	470	161
6	593	161
7	765	161
8	826	161
9	875	161
10	891	161
11	912	161
0	912	161

Iter	Nodes	Cost
0	25	57
1	48	57
2	79	57
3	92	57
4	106	57
5	124	57
6	142	57
7	194	57
8	225	57
9	226	57
0	226	57