Metrics for sqrt D (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample674.0ms (5.9%)

Memory

5.0MiB live, 758.8MiB allocated

Samples

480.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-pow2: 98.0ms (41% of total)

ival-sqrt: 65.0ms (27.2% of total)

ival-mult: 62.0ms (25.9% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain105.0ms (0.9%)

Memory

-22.6MiB live, 93.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
115	-	4	(5.234017238654142e-161)	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	57	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	underflow	57
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	57
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	54	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	overflow	54
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	54

Confusion

	Predicted +	Predicted -
+	111	4
-	0	141

Precision

1.0

Recall

0.9652173913043478

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	111	0	4
-	0	0	141

Precision?

1.0

Recall?

0.9652173913043478

Freqs

test

number	freq
0	145
1	111

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow2: 7.0ms (47.6% of total)

ival-mult: 3.0ms (20.4% of total)

ival-sqrt: 3.0ms (20.4% 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

18.2MiB live, 18.2MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.1%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.3%)

Memory

-24.4MiB live, 17.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	26.147913549398464	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Samples

12.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-pow2: 3.0ms (47.5% of total)

ival-mult: 2.0ms (31.6% of total)

ival-sqrt: 2.0ms (31.6% 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

3.5MiB live, 3.5MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

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

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

rewrite95.0ms (0.8%)

Memory

-0.7MiB live, 111.2MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Counts

3 → 46

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 15.5MiB live, 15.5MiB allocated
Compiler: Compiled 405 to 127 computations (68.6% saved)

prune2.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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

99.7%

Counts

51 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	59.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
▶	5.6%	(sqrt.f64 #s(literal 2 binary64))
▶	52.0%	#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

6.5MiB live, 6.5MiB 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

localize45.0ms (0.4%)

Memory

-31.5MiB live, 63.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.4375	(*.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	0.0078125	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
accuracy	26.147913549398464	(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	0.4375	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	30.489045614381823	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Samples

30.0ms

256×

valid

Compiler

Compiled 114 to 27 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (44.3% of total)

ival-sqrt: 3.0ms (22.2% of total)

ival-pow2: 3.0ms (22.2% 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

5.2MiB live, 5.2MiB 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

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 5

Calls

Call 1

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

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

rewrite144.0ms (1.3%)

Memory

-11.1MiB live, 144.0MiB 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))

eval63.0ms (0.5%)

Memory: 17.7MiB live, 135.9MiB allocated
Compiler: Compiled 10 072 to 1 621 computations (83.9% saved)

prune17.0ms (0.1%)

Memory

0.6MiB live, 39.3MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	568	10	578
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	568	14	582

Accuracy

100.0%

Counts

582 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
✓	49.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	44.1%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))))
▶	58.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))
✓	59.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.6%	(sqrt.f64 #s(literal 2 binary64))
▶	32.2%	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
	29.9%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
	49.5%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
▶	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	52.0%	#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)))))
▶	48.6%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
	51.9%	#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))))
✓	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 308 to 247 computations (19.8% saved)

simplify12.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	180
0	53	180
1	74	170
2	108	155
3	137	155
4	172	155
5	205	155
6	230	155
7	254	155
8	276	155
9	331	155
10	356	155
0	356	155

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

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

localize110.0ms (1%)

Memory

-6.3MiB live, 111.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.21484375	(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
accuracy	0.48828125	(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.09375	(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
accuracy	0.21484375	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	30.489045614381823	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.0	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
accuracy	0.012382519536884034	(.f64 (.f64 x x) #s(literal 4 binary64))
accuracy	0.06640625	(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
accuracy	21.23578963392378	(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
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	0.15625	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0.0	#s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
accuracy	0.0078125	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
accuracy	0.39956096744181746	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy	12.807358980912875	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))

Samples

59.0ms	131×	0	invalid
28.0ms	125×	0	valid

Compiler

Compiled 315 to 65 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-pow: 40.0ms (56.8% of total)

ival-mult: 15.0ms (21.3% of total)

ival-sqrt: 6.0ms (8.5% of total)

ival-pow2: 5.0ms (7.1% of total)

ival-div: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

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

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

series64.0ms (0.6%)

Memory

5.1MiB live, 114.7MiB allocated

Counts

22 → 16

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

44.0ms

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

11.0ms

-inf

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

8.0ms

inf

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

simplify271.0ms (2.4%)

Memory

9.0MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	72
1	71	72
2	165	72
3	295	72
4	545	72
5	922	72
6	1256	72
7	1405	72
8	1466	72
9	1521	72
10	1819	72
11	2178	72
12	2241	72
13	2266	72
14	2271	72
15	2271	72
16	2271	72
17	2461	72
18	2813	72
19	4492	72
20	4831	72
21	5061	72
22	5157	72
23	5163	72
24	5163	72
25	5163	72
26	5239	72
27	5271	72
28	5271	72
29	5583	72
30	6273	72
31	6381	72
32	6423	72
33	6441	72
34	6441	72
35	6441	72
36	6441	72
37	6973	72
0	6973	72

Stop Event

1×	iter limit
1×	saturated

Counts

16 → 16

Calls

Call 1

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

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

rewrite104.0ms (0.9%)

Memory

-20.5MiB live, 90.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	161
0	53	137
1	142	112
2	463	108
0	2691	108

Stop Event

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

Counts

22 → 707

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 #s(approx (pow x 2) (*.f64 x x))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(approx (pow x 2) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(approx (pow x 2) (*.f64 x x)))))
(.f64 (sqrt.f64 #s(approx (pow x 2) (.f64 x x))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (pow x 2) (.f64 x x))))
(pow.f64 (exp.f64 (log.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (pow x 2) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (pow x 2) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(approx (pow x 2) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 x) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
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eval69.0ms (0.6%)

Memory: 6.8MiB live, 88.4MiB allocated
Compiler: Compiled 8 379 to 1 743 computations (79.2% saved)

prune37.0ms (0.3%)

Memory

-0.3MiB live, 38.9MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	482	8	490
Fresh	2	3	5
Picked	2	3	5
Done	0	4	4
Total	486	18	504

Accuracy

100.0%

Counts

504 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.4%	(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
✓	49.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	44.1%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))))
▶	59.1%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))))
✓	59.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.6%	(sqrt.f64 #s(literal 2 binary64))
✓	32.2%	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
▶	29.9%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
	48.5%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
▶	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
	49.5%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)))
	49.5%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	51.9%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 #s(literal 2 binary64)))))
	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 x))))
✓	48.6%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
	51.9%	#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))))
✓	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
▶	58.0%	#s(approx (sqrt (* 2 (pow x 2))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)))))

Compiler

Compiled 385 to 315 computations (18.2% saved)

simplify116.0ms (1%)

Memory

-2.4MiB live, 79.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 3 binary64)) x)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))))
cost-diff	6848	(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
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))))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)))))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
cost-diff	640	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
cost-diff	960	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	#s(approx (pow x 2) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))))
cost-diff	1216	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	192
0	49	196
1	75	192
2	126	164
3	212	164
4	608	162
5	3413	162
6	6764	162
0	8319	162

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (0.8%)

Memory

29.6MiB live, 103.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0078125	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 3 binary64)) x)))
accuracy	9.288282470207408	(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
accuracy	26.147913549398464	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))))
accuracy	0.0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.0	#s(approx (sqrt (* 2 (pow x 2))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)))))
accuracy	0.6431618499548349	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy	26.147913549398464	(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.4375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	26.38606411226713	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	32.08861993503566	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.453125	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
accuracy	30.489045614381823	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
accuracy	0.0	#s(approx (pow x 2) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))
accuracy	0.0078125	(*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))))
accuracy	0.12890625	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
accuracy	26.147913549398464	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))))

Samples

75.0ms

256×

valid

Compiler

Compiled 322 to 56 computations (82.6% saved)

Precisions

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

ival-sqrt: 31.0ms (50.9% of total)

ival-div: 9.0ms (14.8% of total)

ival-mult: 8.0ms (13.1% of total)

ival-pow: 8.0ms (13.1% of total)

ival-pow2: 3.0ms (4.9% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

-13.4MiB live, 23.2MiB allocated

Counts

22 → 9

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify5.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	30	37
2	49	37
3	54	37
4	58	37
5	70	37
6	82	37
7	93	37
8	123	37
9	137	37
10	138	37
0	138	37

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 9

Calls

Call 1

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

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

rewrite114.0ms (1%)

Memory

13.5MiB live, 132.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	171
0	49	173
1	144	131
2	570	131
0	4736	131

Stop Event

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

Counts

22 → 1 061

Calls

Call 1

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

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

eval215.0ms (1.9%)

Memory: -15.4MiB live, 178.2MiB allocated
Compiler: Compiled 15 161 to 3 190 computations (79% saved)

prune77.0ms (0.7%)

Memory

-15.4MiB live, 66.0MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	843	5	848
Fresh	4	2	6
Picked	4	1	5
Done	3	4	7
Total	854	12	866

Accuracy

100.0%

Counts

866 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	59.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.6%	(sqrt.f64 #s(literal 2 binary64))
	49.5%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
	31.5%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
✓	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
	49.5%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)))
	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
	51.9%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 #s(literal 2 binary64)))))
	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)))
✓	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 507 to 228 computations (55% saved)

regimes31.0ms (0.3%)

Memory

39.3MiB live, 78.0MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.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)))
#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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.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))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #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))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 x))))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.4%	2	`x`
80.4%	3	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
80.4%	3	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
80.4%	3	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0%)

Memory

-31.3MiB live, 6.6MiB 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))) (/.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)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

4.9MiB live, 4.9MiB 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 (0.1%)

Memory

14.7MiB live, 14.7MiB 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	(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
1.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
49.5%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
49.5%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
49.5%	1	`(pow.f64 x #s(literal 2 binary64))`
51.5%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.1%)

Memory

-35.4MiB 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:

4.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
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	x

Results

Accuracy	Segments	Branch
5.6%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
5.6%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
5.6%	1	`(pow.f64 x #s(literal 2 binary64))`
5.6%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch14.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-7.957208496060176e-291	1.0384171476193158e-307

Samples

7.0ms

160×

valid

Compiler

Compiled 279 to 249 computations (10.8% saved)

Precisions

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

ival-pow2: 2.0ms (51.6% of total)

ival-mult: 1.0ms (25.8% of total)

ival-sqrt: 1.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.957208496060176e-291	1.0384171476193158e-307

Compiler

Compiled 269 to 239 computations (11.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.957208496060176e-291	1.0384171476193158e-307

Compiler

Compiled 259 to 229 computations (11.6% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.957208496060176e-291	1.0384171476193158e-307

Compiler

Compiled 169 to 169 computations (0% saved)

bsearch13.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1.6531949157100158e-200	-3.0769437459773137e-207

Samples

6.0ms

144×

valid

Compiler

Compiled 63 to 90 computations (-42.9% saved)

Precisions

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

ival-pow2: 2.0ms (55% of total)

ival-mult: 1.0ms (27.5% of total)

ival-sqrt: 1.0ms (27.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify64.0ms (0.6%)

Memory

-10.8MiB live, 64.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	122
1	39	122
2	51	122
3	60	122
4	69	122
5	75	122
6	94	122
7	215	122
8	3867	122

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))

soundness8.8s (76.4%)

Memory

-2.9MiB live, 482.2MiB allocated

Iterations

Useful iterations: 4 (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
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6179	4
0	9030	4
0	14	54
0	21	55
1	46	53
2	112	53
3	469	53
4	3782	49
0	8402	49
0	34	161
0	53	137
1	142	112
2	463	108
0	2691	108
0	31	171
0	49	173
1	144	131
2	570	131
0	4736	131

Stop Event

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

Compiler

Compiled 225 to 121 computations (46.2% saved)

preprocess44.0ms (0.4%)

Memory: -7.9MiB live, 75.4MiB allocated
Compiler: Compiled 256 to 74 computations (71.1% 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	34	180
0	53	180
1	74	170
2	108	155
3	137	155
4	172	155
5	205	155
6	230	155
7	254	155
8	276	155
9	331	155
10	356	155
0	356	155

Iter	Nodes	Cost
0	16	37
1	30	37
2	49	37
3	54	37
4	58	37
5	70	37
6	82	37
7	93	37
8	123	37
9	137	37
10	138	37
0	138	37

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	34	180
0	53	180
1	74	170
2	108	155
3	137	155
4	172	155
5	205	155
6	230	155
7	254	155
8	276	155
9	331	155
10	356	155
0	356	155

Iter	Nodes	Cost
0	16	37
1	30	37
2	49	37
3	54	37
4	58	37
5	70	37
6	82	37
7	93	37
8	123	37
9	137	37
10	138	37
0	138	37

start0.0ms (0%)

analyze0.0ms (0%)

sample674.0ms (5.9%)

explain105.0ms (0.9%)

preprocess13.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize30.0ms (0.3%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite95.0ms (0.8%)

eval6.0ms (0.1%)

prune2.0ms (0%)

simplify6.0ms (0%)

localize45.0ms (0.4%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite144.0ms (1.3%)

eval63.0ms (0.5%)

prune17.0ms (0.1%)

simplify12.0ms (0.1%)

localize110.0ms (1%)

series64.0ms (0.6%)

simplify271.0ms (2.4%)

rewrite104.0ms (0.9%)

eval69.0ms (0.6%)

prune37.0ms (0.3%)

simplify116.0ms (1%)

localize93.0ms (0.8%)

series10.0ms (0.1%)

simplify5.0ms (0%)

rewrite114.0ms (1%)

eval215.0ms (1.9%)

prune77.0ms (0.7%)

regimes31.0ms (0.3%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

simplify64.0ms (0.6%)

soundness8.8s (76.4%)

preprocess44.0ms (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	34	180
0	53	180
1	74	170
2	108	155
3	137	155
4	172	155
5	205	155
6	230	155
7	254	155
8	276	155
9	331	155
10	356	155
0	356	155

Iter	Nodes	Cost
0	16	37
1	30	37
2	49	37
3	54	37
4	58	37
5	70	37
6	82	37
7	93	37
8	123	37
9	137	37
10	138	37
0	138	37