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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

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)

sample640.0ms (23.9%)

Memory

-9.4MiB live, 739.5MiB allocated

Samples

404.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 84.0ms (51.9% of total)

ival-div: 64.0ms (39.5% of total)

ival-true: 6.0ms (3.7% of total)

exact: 5.0ms (3.1% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain48.0ms (1.8%)

Memory

16.8MiB live, 102.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(/.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	4	0
↳	`(*.f64 x x)`	overflow	59

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (48.2% of total)

ival-div: 3.0ms (36.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.6%)

Memory

-0.7MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	24	10
2	67	10
3	135	10
4	186	10
5	224	10
6	236	10
0	4	5
0	6	5
1	10	5
0	10	5

Stop Event

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

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify37.0ms (1.4%)

Memory

-34.0MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

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	10	10
0	10	10

Stop Event

1×	iter limit
1×	saturated
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 (0.5%)

Memory

28.8MiB live, 28.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	0.6387003883386145	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

9.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-div: 2.0ms (50.6% of total)

ival-mult: 2.0ms (50.6% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
(/ 1 (pow x 2))
(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))

simplify2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	8	8
2	10	8
0	10	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(/ 1 (pow x 2))
(pow x 2)

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

rewrite89.0ms (3.3%)

Memory

-18.1MiB live, 72.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	20	6
2	73	6
3	260	6
0	1102	6

Stop Event

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

Counts

2 → 110

Calls

Call 1

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

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

eval14.0ms (0.5%)

Memory: -9.4MiB live, 28.8MiB allocated
Compiler: Compiled 1 027 to 266 computations (74.1% saved)

prune3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Accuracy

100.0%

Counts

113 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
▶	98.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	99.5%	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify28.0ms (1%)

Memory

-11.0MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	512	(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
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	1600	(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff	8448	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	70
0	26	77
1	47	55
2	85	55
3	143	55
4	193	55
5	225	55
6	258	55
7	284	55
8	315	55
9	339	55
10	347	55
11	429	55
12	570	55
13	627	55
14	629	55
15	630	55
0	630	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (1.6%)

Memory

28.0MiB live, 65.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 x)
accuracy	0.12890625	(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.18359375	(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.1953125	(*.f64 x (sqrt.f64 x))
accuracy	0.6387003883386145	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.16796875	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
accuracy	0.24447250976844204	(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
accuracy	0.31640625	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))

Samples

33.0ms

256×

valid

Compiler

Compiled 142 to 32 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 11.0ms (49.4% of total)

ival-mult: 4.0ms (18% of total)

ival-pow: 3.0ms (13.5% of total)

ival-sqrt: 2.0ms (9% of total)

ival-neg: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.7%)

Memory

-31.1MiB live, 16.7MiB allocated

Counts

11 → 12

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ -1 (sqrt x)) (sqrt x) (/ -1 x) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (/ (/ -1 x) (neg x)) (neg x) (pow x -2) (/ (/ -1 x) (sqrt x)))
5.0ms	x	@	-inf	((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ -1 (sqrt x)) (sqrt x) (/ -1 x) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (/ (/ -1 x) (neg x)) (neg x) (pow x -2) (/ (/ -1 x) (sqrt x)))
2.0ms	x	@	0	((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ -1 (sqrt x)) (sqrt x) (/ -1 x) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (/ (/ -1 x) (neg x)) (neg x) (pow x -2) (/ (/ -1 x) (sqrt x)))

Time

Variable

Point

Expression

11.0ms

inf

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

5.0ms

-inf

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

2.0ms

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

simplify99.0ms (3.7%)

Memory

17.5MiB live, 55.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	45
1	56	45
2	132	45
3	288	45
4	723	45
5	1327	45
6	1741	45
7	2271	45
8	2525	45
9	2603	45
10	2630	45
11	2678	45
12	2825	45
13	2825	45
14	2825	45
15	2825	45
0	2825	45

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

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

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

rewrite102.0ms (3.8%)

Memory

8.1MiB live, 128.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	57
0	26	72
1	87	34
2	460	31
0	2142	31

Stop Event

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

Counts

11 → 558

Calls

Call 1

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

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

eval55.0ms (2%)

Memory: -12.8MiB live, 99.3MiB allocated
Compiler: Compiled 5 950 to 1 232 computations (79.3% saved)

prune14.0ms (0.5%)

Memory

-11.0MiB live, 33.2MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	505	6	511
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	507	9	516

Accuracy

100.0%

Counts

516 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.5%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
▶	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
▶	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
✓	98.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	99.4%	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
	99.5%	(*.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
▶	99.8%	#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))

Compiler

Compiled 173 to 115 computations (33.5% saved)

simplify85.0ms (3.2%)

Memory

38.1MiB live, 111.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	-5760	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff	8064	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff	128	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
cost-diff	1984	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
cost-diff	1600	(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
cost-diff	-5504	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	-384	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	7168	(/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	0	#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	43	109
1	87	97
2	197	91
3	449	91
4	2071	91
5	5032	91
0	8098	91

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (4.1%)

Memory

-43.0MiB live, 81.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.15234375	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
accuracy	0.16796875	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
accuracy	0.31640625	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	0.12890625	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
accuracy	0.31640625	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy	0.395195019536884	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 (sqrt.f64 x))
accuracy	0.12890625	(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
accuracy	0.55078125	(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.11328125	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.6387003883386145	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
accuracy	43.19425421415697	(/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy	0.12890625	(/.f64 (/.f64 #s(literal 1 binary64) x) x)

Samples

61.0ms

256×

valid

Compiler

Compiled 278 to 51 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 25.0ms (66.3% of total)

ival-mult: 7.0ms (18.6% of total)

ival-sqrt: 2.0ms (5.3% of total)

ival-neg: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

18 → 15

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ (/ 1 x) x) (/ 1 x) (/ (* (* x x) (* x x)) (* x x)) (* x x) (/ 1 (/ (* (* x x) (* x x)) (* x x))) (* (* x x) (* x x)) (* (sqrt x) (neg (sqrt x))) (/ (/ -1 x) (* (sqrt x) (neg (sqrt x)))) (/ -1 x) (sqrt x) (/ (/ -1 (sqrt x)) (sqrt x)) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (/ -1 (sqrt x)) (* (/ -1 (sqrt x)) (/ (/ -1 (sqrt x)) x)) (/ (/ -1 (sqrt x)) x) (neg (sqrt x)) (neg x))

2.0ms

((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ (/ 1 x) x) (/ 1 x) (/ (* (* x x) (* x x)) (* x x)) (* x x) (/ 1 (/ (* (* x x) (* x x)) (* x x))) (* (* x x) (* x x)) (* (sqrt x) (neg (sqrt x))) (/ (/ -1 x) (* (sqrt x) (neg (sqrt x)))) (/ -1 x) (sqrt x) (/ (/ -1 (sqrt x)) (sqrt x)) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (/ -1 (sqrt x)) (* (/ -1 (sqrt x)) (/ (/ -1 (sqrt x)) x)) (/ (/ -1 (sqrt x)) x) (neg (sqrt x)) (neg x))

2.0ms

inf

((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ (/ 1 x) x) (/ 1 x) (/ (* (* x x) (* x x)) (* x x)) (* x x) (/ 1 (/ (* (* x x) (* x x)) (* x x))) (* (* x x) (* x x)) (* (sqrt x) (neg (sqrt x))) (/ (/ -1 x) (* (sqrt x) (neg (sqrt x)))) (/ -1 x) (sqrt x) (/ (/ -1 (sqrt x)) (sqrt x)) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (/ -1 (sqrt x)) (* (/ -1 (sqrt x)) (/ (/ -1 (sqrt x)) x)) (/ (/ -1 (sqrt x)) x) (neg (sqrt x)) (neg x))

simplify93.0ms (3.5%)

Memory

10.6MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	51
1	51	51
2	100	51
3	177	51
4	360	51
5	710	51
6	1449	51
7	1829	51
8	2048	51
9	2075	51
10	2095	51
11	2139	51
12	2292	51
13	2332	51
14	2348	51
15	2348	51
16	2348	51
0	2348	51

Stop Event

1×	iter limit
1×	saturated

Counts

15 → 15

Calls

Call 1

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

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

rewrite101.0ms (3.8%)

Memory

-7.1MiB live, 73.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	123
0	43	89
1	156	58
0	944	58

Stop Event

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

Counts

18 → 555

Calls

Call 1

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

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

eval34.0ms (1.3%)

Memory: -1.4MiB live, 36.3MiB allocated
Compiler: Compiled 3 882 to 674 computations (82.6% saved)

prune5.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	268	9	277

Accuracy

100.0%

Counts

277 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.5%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
✓	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
✓	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
✓	98.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	99.5%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))))
▶	99.6%	(*.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
✓	99.8%	#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))

Compiler

Compiled 97 to 67 computations (30.9% saved)

simplify41.0ms (1.5%)

Memory

-9.3MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff	256	(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
cost-diff	8064	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff	128	(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff	5952	(*.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	94
0	30	94
1	55	92
2	130	87
3	399	87
4	848	83
5	1405	83
6	1838	78
7	1899	78
8	1902	78
9	1902	78
0	1902	78

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (1.8%)

Memory

-7.6MiB live, 71.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))))
accuracy	0.1953125	(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
accuracy	0.31640625	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy	0.6239358761383373	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))
accuracy	0.14453125	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.15234375	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
accuracy	0.16796875	(*.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
accuracy	0.31640625	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))

Samples

32.0ms

256×

valid

Compiler

Compiled 178 to 36 computations (79.8% saved)

Precisions

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

ival-div: 9.0ms (42.5% of total)

ival-mult: 5.0ms (23.6% of total)

ival-sqrt: 4.0ms (18.9% of total)

ival-neg: 3.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

10 → 11

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* (/ -1 (sqrt x)) (/ (/ -1 (sqrt x)) x)) (neg (sqrt (/ 1 x))) (/ -1 (sqrt x)) (sqrt (/ 1 x)) (* (/ -1 (sqrt x)) (/ -1 (* (neg (sqrt x)) (neg x)))) (* (neg (sqrt x)) (neg x)) (/ -1 (sqrt x)) (sqrt x) (/ (/ -1 (sqrt x)) x) (/ -1 (* (neg (sqrt x)) (neg x))))

1.0ms

((* (/ -1 (sqrt x)) (/ (/ -1 (sqrt x)) x)) (neg (sqrt (/ 1 x))) (/ -1 (sqrt x)) (sqrt (/ 1 x)) (* (/ -1 (sqrt x)) (/ -1 (* (neg (sqrt x)) (neg x)))) (* (neg (sqrt x)) (neg x)) (/ -1 (sqrt x)) (sqrt x) (/ (/ -1 (sqrt x)) x) (/ -1 (* (neg (sqrt x)) (neg x))))

1.0ms

inf

((* (/ -1 (sqrt x)) (/ (/ -1 (sqrt x)) x)) (neg (sqrt (/ 1 x))) (/ -1 (sqrt x)) (sqrt (/ 1 x)) (* (/ -1 (sqrt x)) (/ -1 (* (neg (sqrt x)) (neg x)))) (* (neg (sqrt x)) (neg x)) (/ -1 (sqrt x)) (sqrt x) (/ (/ -1 (sqrt x)) x) (/ -1 (* (neg (sqrt x)) (neg x))))

simplify112.0ms (4.2%)

Memory

13.0MiB live, 51.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	47
1	53	47
2	132	47
3	251	47
4	513	47
5	718	47
6	937	47
7	1658	47
8	2288	47
9	2960	47
10	3121	47
11	3164	47
12	3210	47
13	3292	47
14	3460	47
15	3500	47
16	3516	47
17	3516	47
18	3516	47
19	3516	47
0	3516	47

Stop Event

1×	iter limit
1×	saturated

Counts

11 → 11

Calls

Call 1

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

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

rewrite75.0ms (2.8%)

Memory

10.3MiB live, 85.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	30	68
1	85	65
2	458	52
0	3104	52

Stop Event

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

Counts

10 → 504

Calls

Call 1

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

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

eval63.0ms (2.3%)

Memory: 4.0MiB live, 119.2MiB allocated
Compiler: Compiled 8 057 to 1 392 computations (82.7% saved)

prune11.0ms (0.4%)

Memory

-1.5MiB live, 36.2MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	475	2	477
Fresh	0	0	0
Picked	2	0	2
Done	1	6	7
Total	478	8	486

Accuracy

100.0%

Counts

486 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
✓	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
✓	98.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
	99.4%	(*.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
	99.5%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)))
✓	99.8%	#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))

Compiler

Compiled 253 to 105 computations (58.5% saved)

regimes25.0ms (0.9%)

Memory

-9.0MiB live, 35.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms	x
4.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes15.0ms (0.6%)

Memory

3.6MiB live, 42.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	x
4.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

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
99.0%	1	`x`
99.0%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.0%	1	`(*.f64 x x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify90.0ms (3.4%)

Memory

-8.2MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	26	24
2	44	24
3	75	20
4	117	20
5	173	19
6	230	19
7	324	19
8	1716	19
9	4764	19

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness484.0ms (18.1%)

Memory

-20.2MiB live, 138.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	45
1	56	45
2	132	45
3	288	45
4	723	45
5	1327	45
6	1741	45
7	2271	45
8	2525	45
9	2603	45
10	2630	45
11	2678	45
12	2825	45
13	2825	45
14	2825	45
15	2825	45
0	2825	45
0	4	8
0	6	8
1	20	6
2	73	6
3	260	6
0	1102	6

Stop Event

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

Compiler

Compiled 54 to 35 computations (35.2% saved)

preprocess40.0ms (1.5%)

Memory: 7.7MiB live, 48.9MiB allocated
Remove: (abs x)
Compiler: Compiled 88 to 64 computations (27.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	70
0	26	77
1	47	55
2	85	55
3	143	55
4	193	55
5	225	55
6	258	55
7	284	55
8	315	55
9	339	55
10	347	55
11	429	55
12	570	55
13	627	55
14	629	55
15	630	55
0	630	55

Iter	Nodes	Cost
0	15	70
0	26	77
1	47	55
2	85	55
3	143	55
4	193	55
5	225	55
6	258	55
7	284	55
8	315	55
9	339	55
10	347	55
11	429	55
12	570	55
13	627	55
14	629	55
15	630	55
0	630	55

start0.0ms (0%)

analyze1.0ms (0%)

sample640.0ms (23.9%)

explain48.0ms (1.8%)

preprocess17.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify37.0ms (1.4%)

localize13.0ms (0.5%)

series1.0ms (0.1%)

simplify2.0ms (0.1%)

rewrite89.0ms (3.3%)

eval14.0ms (0.5%)

prune3.0ms (0.1%)

simplify28.0ms (1%)

localize44.0ms (1.6%)

series18.0ms (0.7%)

simplify99.0ms (3.7%)

rewrite102.0ms (3.8%)

eval55.0ms (2%)

prune14.0ms (0.5%)

simplify85.0ms (3.2%)

localize109.0ms (4.1%)

series8.0ms (0.3%)

simplify93.0ms (3.5%)

rewrite101.0ms (3.8%)

eval34.0ms (1.3%)

prune5.0ms (0.2%)

simplify41.0ms (1.5%)

localize49.0ms (1.8%)

series6.0ms (0.2%)

simplify112.0ms (4.2%)

rewrite75.0ms (2.8%)

eval63.0ms (2.3%)

prune11.0ms (0.4%)

regimes25.0ms (0.9%)

regimes15.0ms (0.6%)

regimes3.0ms (0.1%)

simplify90.0ms (3.4%)

soundness484.0ms (18.1%)

preprocess40.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	70
0	26	77
1	47	55
2	85	55
3	143	55
4	193	55
5	225	55
6	258	55
7	284	55
8	315	55
9	339	55
10	347	55
11	429	55
12	570	55
13	627	55
14	629	55
15	630	55
0	630	55