Metrics for sqrt D (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample720.0ms (4.9%)

Memory

20.1MiB live, 732.5MiB allocated

Samples

423.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-sqrt: 99.0ms (38.3% of total)

ival-pow2: 95.0ms (36.7% of total)

ival-mult: 51.0ms (19.7% of total)

ival-true: 6.0ms (2.3% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain62.0ms (0.4%)

Memory

-9.1MiB live, 108.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
117	-	2	(6.730783618383266e-160)	`(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))))`	oflow-rescue	59	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	59
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	56	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	underflow	56
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	56

Confusion

	Predicted +	Predicted -
+	115	2
-	0	139

Precision

1.0

Recall

0.9829059829059829

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	115	0	2
-	0	0	139

Precision?

1.0

Recall?

0.9829059829059829

Freqs

test

number	freq
0	141
1	115

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow2: 10.0ms (58.4% of total)

ival-mult: 3.0ms (17.5% of total)

ival-sqrt: 3.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	124	13
4	250	13
5	276	13
6	286	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

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.8%	(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

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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

localize22.0ms (0.2%)

Memory

-25.1MiB live, 17.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	27.033698938314057	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-pow2: 3.0ms (45.9% of total)

ival-mult: 2.0ms (30.6% of total)

ival-sqrt: 2.0ms (30.6% 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

3.4MiB live, 3.4MiB allocated

Counts

3 → 4

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)))
(pow.f64 x #s(literal 2 binary64))

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

Calls

3 calls:

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

simplify4.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(* -1 (* x (sqrt 2)))

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

rewrite98.0ms (0.7%)

Memory

-10.1MiB live, 99.0MiB 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	6176	4
0	9029	4

Stop Event

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

Counts

3 → 46

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)))
(pow.f64 x #s(literal 2 binary64))

Outputs
(*.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 8 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.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 #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 #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 (+.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 (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 (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 (*.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)
x
#s(literal 1 binary64)

eval6.0ms (0%)

Memory: 17.8MiB live, 17.8MiB allocated
Compiler: Compiled 405 to 127 computations (68.6% saved)

prune2.0ms (0%)

Memory

7.6MiB live, 7.6MiB 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

99.6%

Counts

51 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	57.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
▶	5.7%	(sqrt.f64 #s(literal 2 binary64))
▶	53.4%	#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

13.3MiB live, 13.3MiB 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

localize43.0ms (0.3%)

Memory

-36.8MiB live, 59.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.46484375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (pow x 2) (*.f64 x x))
accuracy	0.00390625	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
accuracy	27.033698938314057	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.46484375	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	29.59624682115796	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Samples

29.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (44.6% of total)

ival-sqrt: 3.0ms (22.3% of total)

ival-pow2: 3.0ms (22.3% of total)

ival-neg: 1.0ms (7.4% 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

6.8MiB live, 6.8MiB 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

4.2MiB live, 4.2MiB 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)

rewrite113.0ms (0.8%)

Memory

-1.5MiB live, 115.8MiB 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	8402	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 (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 (*.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 (.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)))))
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(fma.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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.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))))) #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))) (.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))

eval60.0ms (0.4%)

Memory: 9.0MiB live, 118.4MiB allocated
Compiler: Compiled 10 072 to 1 621 computations (83.9% saved)

prune24.0ms (0.2%)

Memory

-20.9MiB live, 61.7MiB 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
	48.0%	(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
✓	48.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	32.9%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))))
▶	57.7%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))
✓	57.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.7%	(sqrt.f64 #s(literal 2 binary64))
	21.0%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))
	29.3%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
▶	35.1%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))))
	48.1%	#s(approx (sqrt (* 2 (pow x 2))) (.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)))
	53.4%	#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))))
	53.4%	#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)))))
▶	46.7%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
▶	47.0%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
	53.3%	#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))))
✓	53.4%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 380 to 299 computations (21.3% saved)

simplify16.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))))
cost-diff	0	(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	4	(*.f64 (sqrt.f64 x) (sqrt.f64 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	2	(/.f64 x (pow.f64 x #s(literal -1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	203
0	51	193
1	70	193
2	98	183
3	138	183
4	171	183
5	222	183
6	297	183
7	355	183
8	387	183
9	494	183
10	546	183
11	552	183
0	552	183

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 (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 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))))
#s(literal 2 binary64)
#s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 x x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #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)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 x)

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

localize104.0ms (0.7%)

Memory

10.1MiB live, 86.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))))
accuracy	0.228847509768442	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
accuracy	7.74252293576591	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
accuracy	0.0	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))))
accuracy	0.0	#s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
accuracy	12.292493169012022	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))))
accuracy	17.25856922634219	(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.21484375	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.30859375	(*.f64 (sqrt.f64 x) (sqrt.f64 x))
accuracy	0.0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
accuracy	0.1484375	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0.0	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
accuracy	0.0	#s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
accuracy	0.0625	(/.f64 x (pow.f64 x #s(literal -1 binary64)))
accuracy	12.292493169012022	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 x (pow.f64 x #s(literal -1 binary64))))))

Samples

59.0ms	121×	0	valid
25.0ms	135×	0	invalid

Compiler

Compiled 136 to 25 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-pow: 11.0ms (32.3% of total)

ival-mult: 9.0ms (26.5% of total)

ival-sqrt: 6.0ms (17.6% of total)

ival-div: 4.0ms (11.8% of total)

ival-pow2: 3.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

-22.8MiB live, 21.3MiB 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 (sqrt.f64 x) (sqrt.f64 x))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 x)
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))))
#s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #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)))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 2 binary64))

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

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

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

5.0ms

((/ 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) (* (sqrt x) (sqrt x)) (sqrt (* 2 (pow x 2))) (* (* (sqrt x) (sqrt x)) (sqrt 2)) (sqrt x) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (/ (pow x 4) (* x x)) (sqrt (* 2 (pow x 2))) (* (pow x 3/2) (/ (sqrt 2) (sqrt x))) (pow x 3/2) (/ (sqrt 2) (sqrt x)) (sqrt 2))

3.0ms

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) (* (sqrt x) (sqrt x)) (sqrt (* 2 (pow x 2))) (* (* (sqrt x) (sqrt x)) (sqrt 2)) (sqrt x) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (/ (pow x 4) (* x x)) (sqrt (* 2 (pow x 2))) (* (pow x 3/2) (/ (sqrt 2) (sqrt x))) (pow x 3/2) (/ (sqrt 2) (sqrt x)) (sqrt 2))

simplify172.0ms (1.2%)

Memory

-15.5MiB live, 61.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	72
1	79	69
2	209	68
3	420	68
4	1060	68
5	2268	68
6	3146	68
7	3381	68
8	3494	68
9	3526	68
10	3537	68
11	3687	68
12	3747	68
13	3747	68
14	3747	68
15	3747	68
16	4048	68
17	4948	68
18	5423	68
19	5431	68
0	5431	68

Stop Event

1×	iter limit
1×	saturated

Counts

16 → 15

Calls

Call 1

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

rewrite176.0ms (1.2%)

Memory

5.4MiB live, 160.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	175
0	51	132
1	131	116
2	464	116
3	5297	116
0	8159	116

Stop Event

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

Counts

21 → 1 042

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 (sqrt.f64 x) (sqrt.f64 x))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 x)
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))))
#s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #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)))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 2 binary64))

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

eval97.0ms (0.7%)

Memory: 6.0MiB live, 162.6MiB allocated
Compiler: Compiled 17 195 to 3 361 computations (80.5% saved)

prune51.0ms (0.3%)

Memory

21.3MiB live, 60.6MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	913	10	923
Fresh	4	3	7
Picked	3	2	5
Done	0	4	4
Total	920	19	939

Accuracy

100.0%

Counts

939 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	57.7%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))))
▶	44.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x))))))
	44.2%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))))
✓	57.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.7%	(sqrt.f64 #s(literal 2 binary64))
	29.3%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
▶	48.1%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)))
▶	48.1%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
	52.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))
▶	99.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))
	53.4%	#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)))))
▶	52.1%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
✓	46.7%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
	35.1%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))))
	47.0%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)))
✓	47.0%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
	53.3%	#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))))
✓	53.4%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 463 to 371 computations (19.9% saved)

simplify132.0ms (0.9%)

Memory

-4.5MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x)))))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x))))))
cost-diff	1	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x)))
cost-diff	2	(*.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x))
cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
cost-diff	0	(sqrt.f64 (neg.f64 x))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	5	(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)))
cost-diff	3	(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	1	(fabs.f64 (/.f64 #s(literal -1 binary64) x))
cost-diff	3	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	206
0	50	210
1	79	168
2	150	158
3	274	158
4	524	158
5	1217	158
6	2532	158
7	3657	158
8	4563	158
9	4714	158
10	4751	158
11	4770	158
12	4801	158
13	4815	158
14	4845	158
15	4845	158
16	4845	158
0	4845	158

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (0.7%)

Memory

13.8MiB live, 123.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x)))))
accuracy	0.22424794100331225	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x)))
accuracy	4.407403166034579	(*.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x))
accuracy	14.741205769302026	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x))))))
accuracy	0.0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
accuracy	0.21875	(/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
accuracy	32.999084200154044	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.25	(.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.296875	(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.21875	(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
accuracy	32.999084200154044	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)))
accuracy	0.0	(fabs.f64 (/.f64 #s(literal -1 binary64) x))
accuracy	0.0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x)))
accuracy	0.25	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))

Samples

47.0ms	135×	0	valid
35.0ms	121×	0	invalid

Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 17.0ms (36.1% of total)

ival-mult: 11.0ms (23.3% of total)

ival-pow: 8.0ms (17% of total)

ival-sqrt: 5.0ms (10.6% of total)

ival-pow2: 3.0ms (6.4% of total)

ival-neg: 2.0ms (4.2% of total)

ival-fabs: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

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

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

series22.0ms (0.1%)

Memory

-20.5MiB live, 26.7MiB allocated

Counts

20 → 14

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

15.0ms

inf

((/ 1 (fabs (/ -1 x))) (fabs (/ -1 x)) (sqrt (* 2 (pow x 2))) (* (/ 1 (fabs (/ -1 x))) (sqrt 2)) (/ (neg (sqrt 2)) (/ -1 x)) (sqrt (* 2 (pow x 2))) (neg (sqrt 2)) (sqrt 2) (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (* 2 (pow x 2))) (* (* (sqrt (neg x)) (sqrt (neg x))) (sqrt 2)) (sqrt (neg x)) (sqrt (* 2 (pow x 2))) (/ x (pow 2 -1/2)) (pow 2 -1/2) (* (pow x -3) (neg x)) (/ -1 (* (pow x -3) (neg x))) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (neg x))

4.0ms

((/ 1 (fabs (/ -1 x))) (fabs (/ -1 x)) (sqrt (* 2 (pow x 2))) (* (/ 1 (fabs (/ -1 x))) (sqrt 2)) (/ (neg (sqrt 2)) (/ -1 x)) (sqrt (* 2 (pow x 2))) (neg (sqrt 2)) (sqrt 2) (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (* 2 (pow x 2))) (* (* (sqrt (neg x)) (sqrt (neg x))) (sqrt 2)) (sqrt (neg x)) (sqrt (* 2 (pow x 2))) (/ x (pow 2 -1/2)) (pow 2 -1/2) (* (pow x -3) (neg x)) (/ -1 (* (pow x -3) (neg x))) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (neg x))

3.0ms

-inf

((/ 1 (fabs (/ -1 x))) (fabs (/ -1 x)) (sqrt (* 2 (pow x 2))) (* (/ 1 (fabs (/ -1 x))) (sqrt 2)) (/ (neg (sqrt 2)) (/ -1 x)) (sqrt (* 2 (pow x 2))) (neg (sqrt 2)) (sqrt 2) (* (sqrt (neg x)) (sqrt (neg x))) (sqrt (* 2 (pow x 2))) (* (* (sqrt (neg x)) (sqrt (neg x))) (sqrt 2)) (sqrt (neg x)) (sqrt (* 2 (pow x 2))) (/ x (pow 2 -1/2)) (pow 2 -1/2) (* (pow x -3) (neg x)) (/ -1 (* (pow x -3) (neg x))) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (neg x))

simplify227.0ms (1.5%)

Memory

-8.4MiB live, 156.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	79
1	49	59
2	91	57
3	127	57
4	159	57
5	231	57
6	260	57
7	344	57
8	420	57
9	498	57
10	644	57
11	1382	57
12	3231	57
13	3893	57
14	4146	57
15	4336	57
16	4486	57
0	4595	57

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

14 → 14

Calls

Call 1

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

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

rewrite132.0ms (0.9%)

Memory

0.3MiB live, 110.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	163
0	50	176
1	143	99
2	562	93
0	3258	93

Stop Event

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

Counts

20 → 1 289

Calls

Call 1

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

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

eval91.0ms (0.6%)

Memory: 17.5MiB live, 164.7MiB allocated
Compiler: Compiled 14 523 to 2 925 computations (79.9% saved)

prune24.0ms (0.2%)

Memory

7.5MiB live, 56.8MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	812	4	816
Fresh	7	1	8
Picked	5	0	5
Done	1	5	6
Total	825	10	835

Accuracy

100.0%

Counts

835 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	57.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.7%	(sqrt.f64 #s(literal 2 binary64))
	48.1%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)))
	53.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
	53.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) x)))
	47.0%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)))
✓	47.0%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
✓	53.4%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
	48.1%	#s(approx (sqrt (* 2 (pow x 2))) #s(approx (/ x (pow 2 -1/2)) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))

Compiler

Compiled 541 to 228 computations (57.9% saved)

regimes91.0ms (0.6%)

Memory

4.7MiB live, 43.0MiB allocated

Counts

31 → 1

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

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

Calls

4 calls:

66.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
8.0ms	x
8.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
8.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
99.2%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
99.2%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes15.0ms (0.1%)

Memory

-20.3MiB live, 17.7MiB allocated

Counts

9 → 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))) #s(approx (/ x (pow 2 -1/2)) (/.f64 x (sqrt.f64 #s(literal 1/2 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 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 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)))

Outputs

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

Calls

4 calls:

6.0ms	x
3.0ms	(pow.f64 x #s(literal 2 binary64))
3.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
3.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
79.7%	3	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
79.7%	3	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
79.7%	3	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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))) #s(approx (/ x (pow 2 -1/2)) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 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))))

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
99.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0%)

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:

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

Results

Accuracy	Segments	Branch
48.1%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
48.1%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
48.1%	1	`(pow.f64 x #s(literal 2 binary64))`
50.0%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0%)

Memory

-26.0MiB live, 11.6MiB 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:

3.0ms	(*.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))
1.0ms	x

Results

Accuracy	Segments	Branch
5.7%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
5.7%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
5.7%	1	`(pow.f64 x #s(literal 2 binary64))`
5.7%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch11.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-1.7238315478972823e-304	1.0289352237381517e-308

Samples

5.0ms

128×

valid

Compiler

Compiled 225 to 201 computations (10.7% saved)

Precisions

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

ival-mult: 1.0ms (31.7% of total)

ival-sqrt: 1.0ms (31.7% of total)

ival-pow2: 1.0ms (31.7% 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

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.7238315478972823e-304	1.0289352237381517e-308

Compiler

Compiled 249 to 217 computations (12.9% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.7238315478972823e-304	1.0289352237381517e-308

Compiler

Compiled 241 to 209 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.7238315478972823e-304	1.0289352237381517e-308

Compiler

Compiled 137 to 137 computations (0% saved)

bsearch14.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.3594724746546703e-192	-1.1408996704674952e-207

Samples

7.0ms

160×

valid

Compiler

Compiled 69 to 99 computations (-43.5% saved)

Precisions

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

ival-pow2: 2.0ms (51.1% of total)

ival-mult: 1.0ms (25.5% of total)

ival-sqrt: 1.0ms (25.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify62.0ms (0.4%)

Memory

-17.1MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	146
1	58	146
2	80	146
3	112	146
4	180	146
5	369	146
6	1005	146
7	1672	146
8	3757	146

Stop Event

1×	node limit

Calls

Call 1

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

soundness11.9s (80.8%)

Memory

13.8MiB live, 805.1MiB 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	8402	49
0	26	79
1	49	59
2	91	57
3	127	57
4	159	57
5	231	57
6	260	57
7	344	57
8	420	57
9	498	57
10	644	57
11	1382	57
12	3231	57
13	3893	57
14	4146	57
15	4336	57
16	4486	57
0	4595	57
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6176	4
0	9029	4
0	32	175
0	51	132
1	131	116
2	464	116
3	5297	116
0	8159	116
0	32	163
0	50	176
1	143	99
2	562	93
0	3258	93
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×	fuel
1×	iter limit
1×	saturated
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×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 363 to 228 computations (37.2% saved)

preprocess53.0ms (0.4%)

Memory: -13.3MiB live, 69.2MiB allocated
Compiler: Compiled 304 to 96 computations (68.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	124	13
4	250	13
5	276	13
6	286	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	32	203
0	51	193
1	70	193
2	98	183
3	138	183
4	171	183
5	222	183
6	297	183
7	355	183
8	387	183
9	494	183
10	546	183
11	552	183
0	552	183

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	124	13
4	250	13
5	276	13
6	286	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	32	203
0	51	193
1	70	193
2	98	183
3	138	183
4	171	183
5	222	183
6	297	183
7	355	183
8	387	183
9	494	183
10	546	183
11	552	183
0	552	183

start0.0ms (0%)

analyze0.0ms (0%)

sample720.0ms (4.9%)

explain62.0ms (0.4%)

preprocess13.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize22.0ms (0.2%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite98.0ms (0.7%)

eval6.0ms (0%)

prune2.0ms (0%)

simplify6.0ms (0%)

localize43.0ms (0.3%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite113.0ms (0.8%)

eval60.0ms (0.4%)

prune24.0ms (0.2%)

simplify16.0ms (0.1%)

localize104.0ms (0.7%)

series15.0ms (0.1%)

simplify172.0ms (1.2%)

rewrite176.0ms (1.2%)

eval97.0ms (0.7%)

prune51.0ms (0.3%)

simplify132.0ms (0.9%)

localize104.0ms (0.7%)

series22.0ms (0.1%)

simplify227.0ms (1.5%)

rewrite132.0ms (0.9%)

eval91.0ms (0.6%)

prune24.0ms (0.2%)

regimes91.0ms (0.6%)

regimes15.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0%)

regimes6.0ms (0%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch14.0ms (0.1%)

simplify62.0ms (0.4%)

soundness11.9s (80.8%)

preprocess53.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	124	13
4	250	13
5	276	13
6	286	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	32	203
0	51	193
1	70	193
2	98	183
3	138	183
4	171	183
5	222	183
6	297	183
7	355	183
8	387	183
9	494	183
10	546	183
11	552	183
0	552	183