Metrics for Numeric.SpecFunctions:$slogFactorial from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample2.4s (55.8%)

Memory

-204.1MiB live, 1 369.4MiB allocated; 2.2s collecting garbage

Samples

938.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-div: 81.0ms (47.1% of total)

ival-mult: 76.0ms (44.2% of total)

ival-true: 5.0ms (2.9% of total)

exact: 4.0ms (2.3% of total)

ival-assert: 3.0ms (1.7% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

explain45.0ms (1%)

Memory

37.1MiB live, 82.8MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	74

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-mult: 6.0ms (59.8% of total)

ival-div: 3.0ms (29.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess194.0ms (4.5%)

Memory

-26.7MiB live, 249.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	30	15
2	72	15
3	114	15
4	236	15
5	1307	15
6	7105	15
0	4	5
0	6	5
1	14	5
2	34	5
3	76	5
4	182	5
5	1037	5
0	8422	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify174.0ms (4%)

Memory

5.7MiB live, 143.4MiB allocated; 85ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	14	10
2	34	10
3	76	10
4	182	10
5	1037	10
0	8422	10

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize13.0ms (0.3%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	0.4287284351293333	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (52.7% of total)

ival-mult: 2.0ms (52.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((/ 1 (* x x)) (* x x))
0.0ms	x	@	inf	((/ 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((/ 1 (* x x)) (* x x))

simplify136.0ms (3.1%)

Memory

-10.6MiB live, 128.9MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	20	18
2	43	18
3	88	18
4	259	18
5	2362	18
0	8048	18

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))

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

rewrite49.0ms (1.1%)

Memory

5.6MiB live, 50.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	67	6
0	736	6

Stop Event

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

Counts

2 → 52

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

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

eval5.0ms (0.1%)

Memory: 9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 427 to 127 computations (70.3% saved)

prune2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Accuracy

100.0%

Counts

55 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify134.0ms (3.1%)

Memory

20.2MiB live, 160.1MiB allocated; 40ms collecting garbage

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	13	29
1	21	21
2	35	21
3	85	21
4	250	21
5	1301	21
0	8152	21

Stop Event

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

Calls

Call 1

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

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

localize30.0ms (0.7%)

Memory

-3.1MiB live, 41.2MiB allocated; 10ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.140625	(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.20703125	(*.f64 x (sqrt.f64 x))
accuracy	0.4287284351293333	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))

Samples

23.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

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

ival-mult: 3.0ms (29.7% of total)

ival-pow: 3.0ms (29.7% of total)

ival-div: 2.0ms (19.8% of total)

ival-sqrt: 2.0ms (19.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

-32.7MiB live, 11.6MiB allocated; 17ms collecting garbage

Counts

5 → 9

Calls

Call 1

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

Outputs
#s(approx (* (* x (sqrt x)) (sqrt x)) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x (sqrt x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (* x (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) #s(hole binary64 (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))))
#s(approx (* x (sqrt x)) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (sqrt x) (pow x -2))
1.0ms	x	@	0	((* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (sqrt x) (pow x -2))
1.0ms	x	@	inf	((* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (sqrt x) (pow x -2))

Time

Variable

Point

Expression

12.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify55.0ms (1.3%)

Memory

9.2MiB live, 66.9MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	89
1	63	73
2	164	73
0	672	73

Stop Event

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

Counts

9 → 9

Calls

Call 1

Inputs
#s(approx (* (* x (sqrt x)) (sqrt x)) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x (sqrt x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (* x (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) #s(hole binary64 (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))))
#s(approx (* x (sqrt x)) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))

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

rewrite18.0ms (0.4%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	17
0	133	17

Stop Event

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

Counts

5 → 43

Calls

Call 1

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

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

eval11.0ms (0.3%)

Memory: -32.4MiB live, 12.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 601 to 162 computations (73% saved)

prune3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	55	5	60

Accuracy

100.0%

Counts

60 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
▶	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 42 to 27 computations (35.7% saved)

simplify145.0ms (3.3%)

Memory

-11.6MiB live, 225.4MiB allocated; 58ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
cost-diff	4	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))
cost-diff	4	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x))
cost-diff	7	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	77
0	18	56
1	33	56
2	66	44
3	136	44
4	360	44
5	2119	44
0	8984	44

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))
#s(literal 1 binary64)
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x

Outputs
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x))
(*.f64 x x)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x

localize33.0ms (0.8%)

Memory

18.7MiB live, 63.6MiB allocated; 6ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1875	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
accuracy	0.20703125	(*.f64 (sqrt.f64 x) x)
accuracy	0.8180130856735209	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
accuracy	0.20703125	(*.f64 (sqrt.f64 x) x)
accuracy	0.3248825195368841	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
accuracy	0.4287284351293333	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))
accuracy	19.291105169753163	(sqrt.f64 (*.f64 (sqrt.f64 x) x))

Samples

25.0ms

256×

valid

Compiler

Compiled 79 to 12 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sqrt: 8.0ms (48.5% of total)

ival-div: 4.0ms (24.2% of total)

ival-mult: 4.0ms (24.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series61.0ms (1.4%)

Memory

25.0MiB live, 168.7MiB allocated; 27ms collecting garbage

Counts

8 → 15

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)

Outputs
#s(approx (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x)) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (sqrt (* (sqrt x) x)) #s(hole binary64 (pow (* 1 (pow x 3)) 1/4)))
#s(approx (/ (/ 1 (* (sqrt x) x)) (sqrt x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))))
#s(approx (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x)) #s(hole binary64 (* (pow x 2) (pow (sqrt -1) 4))))
#s(approx (/ 1 (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x))) #s(hole binary64 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
#s(approx (sqrt (* (sqrt x) x)) #s(hole binary64 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))))
#s(approx (/ (/ 1 (* (sqrt x) x)) (sqrt x)) #s(hole binary64 (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

38.0ms

((* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x)) (/ 1 (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x))) (sqrt (* (sqrt x) x)) (/ (/ 1 (* (sqrt x) x)) (sqrt x)) (/ 1 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x))

14.0ms

-inf

((* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x)) (/ 1 (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x))) (sqrt (* (sqrt x) x)) (/ (/ 1 (* (sqrt x) x)) (sqrt x)) (/ 1 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x))

8.0ms

inf

((* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x)) (/ 1 (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x))) (sqrt (* (sqrt x) x)) (/ (/ 1 (* (sqrt x) x)) (sqrt x)) (/ 1 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x))

simplify69.0ms (1.6%)

Memory

-11.1MiB live, 87.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	170
1	99	170
2	234	145
0	964	145

Stop Event

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

Counts

15 → 15

Calls

Call 1

Inputs
#s(approx (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x)) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (sqrt (* (sqrt x) x)) #s(hole binary64 (pow (* 1 (pow x 3)) 1/4)))
#s(approx (/ (/ 1 (* (sqrt x) x)) (sqrt x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))))
#s(approx (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x)) #s(hole binary64 (* (pow x 2) (pow (sqrt -1) 4))))
#s(approx (/ 1 (* (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) x))) (sqrt x))) #s(hole binary64 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
#s(approx (sqrt (* (sqrt x) x)) #s(hole binary64 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))))
#s(approx (/ (/ 1 (* (sqrt x) x)) (sqrt x)) #s(hole binary64 (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))

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

rewrite64.0ms (1.5%)

Memory

10.1MiB live, 99.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	67
0	18	46
1	177	30
0	1726	30

Stop Event

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

Counts

8 → 267

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)

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

eval61.0ms (1.4%)

Memory: -36.6MiB live, 108.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 5 038 to 1 006 computations (80% saved)

prune6.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	342	2	344
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	342	7	349

Accuracy

100.0%

Counts

349 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
✓	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
▶	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 56 to 37 computations (33.9% saved)

simplify218.0ms (5%)

Memory

-37.9MiB live, 281.2MiB allocated; 143ms collecting garbage

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	32
0	12	28
1	20	28
2	34	28
3	91	28
4	249	28
5	1290	28
0	8134	28

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)

localize25.0ms (0.6%)

Memory

9.4MiB live, 66.0MiB allocated; 6ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1875	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.197597509768442	(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.12890625	(/.f64 (/.f64 #s(literal 1 binary64) x) x)

Samples

19.0ms

256×

valid

Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 10.0ms (82.4% of total)

ival-sqrt: 2.0ms (16.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

5 → 7

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(sqrt.f64 x)

Outputs
#s(approx (/ (/ 1 x) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (/ (/ 1 x) (sqrt x)) (sqrt x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ 1 x) (sqrt x)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (/ (/ (/ 1 x) (sqrt x)) (sqrt x)) #s(hole binary64 (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (/ 1 x) x) (/ 1 x) (/ (/ (/ 1 x) (sqrt x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (sqrt x))

1.0ms

((/ (/ 1 x) x) (/ 1 x) (/ (/ (/ 1 x) (sqrt x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (sqrt x))

1.0ms

inf

((/ (/ 1 x) x) (/ 1 x) (/ (/ (/ 1 x) (sqrt x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (sqrt x))

simplify68.0ms (1.6%)

Memory

-32.2MiB live, 61.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	63
1	48	63
2	110	63
0	494	63

Stop Event

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

Counts

7 → 7

Calls

Call 1

Inputs
#s(approx (/ (/ 1 x) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (/ (/ 1 x) (sqrt x)) (sqrt x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ 1 x) (sqrt x)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (/ (/ (/ 1 x) (sqrt x)) (sqrt x)) #s(hole binary64 (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))

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

rewrite54.0ms (1.2%)

Memory

25.1MiB live, 71.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	12	21
1	117	14
0	1226	14

Stop Event

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

Counts

5 → 188

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(sqrt.f64 x)

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

eval36.0ms (0.8%)

Memory: -19.9MiB live, 31.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 2 004 to 442 computations (77.9% saved)

prune6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	193	7	200

Accuracy

100.0%

Counts

200 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
✓	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 112 to 58 computations (48.2% saved)

regimes7.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes58.0ms (1.3%)

Memory

-33.5MiB live, 12.0MiB allocated; 6ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 x)))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)

Calls

3 calls:

53.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.8%	1	`(*.f64 x x)`
99.8%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 x x)`
99.3%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify55.0ms (1.3%)

Memory

4.7MiB live, 48.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	26	13
2	31	13
3	43	13
4	76	13
5	269	13
6	2360	13
7	5631	13

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations20.0ms (0.5%)

Memory

31.0MiB live, 31.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 13 to 8 computations (38.5% saved)

preprocess53.0ms (1.2%)

Memory: -7.2MiB live, 33.3MiB allocated; 16ms collecting garbage
Remove: (abs x)
Compiler: Compiled 58 to 44 computations (24.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample2.4s (55.8%)

explain45.0ms (1%)

preprocess194.0ms (4.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify174.0ms (4%)

localize13.0ms (0.3%)

series2.0ms (0%)

simplify136.0ms (3.1%)

rewrite49.0ms (1.1%)

eval5.0ms (0.1%)

prune2.0ms (0.1%)

simplify134.0ms (3.1%)

localize30.0ms (0.7%)

series14.0ms (0.3%)

simplify55.0ms (1.3%)

rewrite18.0ms (0.4%)

eval11.0ms (0.3%)

prune3.0ms (0.1%)

simplify145.0ms (3.3%)

localize33.0ms (0.8%)

series61.0ms (1.4%)

simplify69.0ms (1.6%)

rewrite64.0ms (1.5%)

eval61.0ms (1.4%)

prune6.0ms (0.1%)

simplify218.0ms (5%)

localize25.0ms (0.6%)

series4.0ms (0.1%)

simplify68.0ms (1.6%)

rewrite54.0ms (1.2%)

eval36.0ms (0.8%)

prune6.0ms (0.1%)

regimes7.0ms (0.2%)

regimes58.0ms (1.3%)

regimes3.0ms (0.1%)

simplify55.0ms (1.3%)

derivations20.0ms (0.5%)

preprocess53.0ms (1.2%)

end0.0ms (0%)

Profiling