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

analyze1.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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)

sample478.0ms (8.6%)

Memory

10.7MiB live, 1 118.1MiB allocated

Samples

282.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 64.0ms (48.1% of total)

ival-div: 56.0ms (42.1% of total)

ival-true: 5.0ms (3.8% of total)

exact: 5.0ms (3.8% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

preprocess21.0ms (0.4%)

Memory

-3.9MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`associate-/r*`
26×	`unsub-neg`
26×	`div-sub`
24×	`distribute-lft-neg-in`
20×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	24	10
2	67	10
3	135	10
4	185	10
5	223	10
6	235	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)

explain51.0ms (0.9%)

Memory

-6.5MiB live, 115.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(/.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	5	0
↳	`(*.f64 x x)`	overflow	72

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

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

ival-mult: 4.0ms (50.3% of total)

ival-div: 3.0ms (37.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB 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))

Rules

6×	`lower-/.f32`
4×	`lower-/.f64`
2×	`lift-/.f64`
2×	`1-exp`
2×	`lift-*.f64`

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

localize42.0ms (0.8%)

Memory

-6.4MiB live, 32.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

36.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 30.0ms (94.4% of total)

ival-div: 2.0ms (6.3% 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%)

Memory

2.6MiB live, 2.7MiB allocated

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

6 calls:

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

simplify4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`lower-/.f32`
6×	`lower-/.f64`
2×	`lower-*.f64`
2×	`lower-pow.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	96
1	8	96
2	10	96
0	10	96

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

rewrite97.0ms (1.7%)

Memory

8.3MiB live, 90.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

426×	`lower-*.f32`
424×	`lower-*.f64`
306×	`lower-/.f32`
304×	`lower-/.f64`
242×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	20	6
2	72	6
3	260	6
0	1092	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 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x 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 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 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 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) 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 #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) x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.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 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) #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 (/.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 (/.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) (/.f64 #s(literal 1 binary64) x)) (/.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) (/.f64 #s(literal -1 binary64) x)) #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 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x)))
(/.f64 (exp.f64 (log.f64 (*.f64 x (neg.f64 x)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (neg.f64 x)) #s(literal 3 binary64))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 (.f64 x (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.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 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1 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 -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))

eval14.0ms (0.2%)

Memory: -3.0MiB live, 35.3MiB allocated
Compiler: Compiled 1 308 to 259 computations (80.2% saved)

prune17.0ms (0.3%)

Memory

8.8MiB live, 46.9MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	128	6	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	7	135

Accuracy

100.0%

Counts

135 → 7

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) x) (sqrt.f64 x)) (sqrt.f64 x))
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
	25.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
▶	26.9%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	25.9%	(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))

Compiler

Compiled 152 to 84 computations (44.7% saved)

simplify163.0ms (2.9%)

Memory

-31.5MiB live, 290.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓	cost-diff	1984	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(neg.f64 (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x))))
✓	cost-diff	1920	(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(neg.f64 (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	1280	(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(pow.f64 x #s(literal -2 binary64))

Rules

4 312×	`lower-*.f32`
4 302×	`lower-*.f64`
2 254×	`lower-fma.f64`
2 254×	`lower-fma.f32`
1 786×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	145
0	36	98
1	70	87
2	218	87
3	1334	87
4	2817	87
5	6054	87
0	8181	87

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (1.3%)

Memory

1.8MiB live, 201.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x))))
✓	accuracy	32.2%	(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	31.1%	(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal -2 binary64))

Samples

41.0ms

256×

valid

Compiler

Compiled 147 to 22 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 12.0ms (42.4% of total)

ival-mult: 9.0ms (31.8% of total)

ival-pow: 3.0ms (10.6% of total)

ival-sqrt: 2.0ms (7.1% of total)

ival-neg: 2.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

27.8MiB live, 27.8MiB allocated

Counts

13 → 156

Calls

Call 1

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

Outputs
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

39 calls:

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

simplify167.0ms (3%)

Memory

-15.3MiB live, 144.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 462×	`associate-/r*`
1 258×	`pow-sqr`
814×	`pow-plus`
732×	`div-sub`
720×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	648
1	38	648
2	85	648
3	151	648
4	290	648
5	381	648
6	564	648
7	1258	648
8	1706	648
9	2427	648
10	2588	648
11	2631	648
12	2677	648
13	2875	648
14	3105	648
15	3405	648
16	3579	648
17	3727	648
18	3965	648
19	4351	648
20	4975	648
21	4975	648
22	6689	648
23	6689	648
24	6689	648
0	6689	648

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

Calls

Call 1

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

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

rewrite223.0ms (4%)

Memory

11.1MiB live, 292.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 592×	`lower-*.f32`
1 582×	`lower-*.f64`
1 472×	`lower-/.f32`
1 458×	`lower-/.f64`
1 084×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	100
0	36	59
1	118	45
2	625	39
0	4110	39

Stop Event

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

Counts

13 → 1 309

Calls

Call 1

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

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

eval436.0ms (7.9%)

Memory: -160.2MiB live, 444.2MiB allocated
Compiler: Compiled 28 724 to 2 806 computations (90.2% saved)

prune189.0ms (3.4%)

Memory

-23.1MiB live, 335.8MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 844	7	1 851
Fresh	1	0	1
Picked	4	1	5
Done	0	1	1
Total	1 849	9	1 858

Accuracy

100.0%

Counts

1 858 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x))
	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	19.4%	(/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x x)))
▶	26.9%	(/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
▶	84.6%	(/.f64 x (.f64 x (.f64 x x)))
	49.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	26.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (.f64 x x))

Compiler

Compiled 188 to 92 computations (51.1% saved)

simplify152.0ms (2.7%)

Memory

-6.6MiB live, 283.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 x (neg.f64 x))
✓	cost-diff	0	(.f64 x (.f64 x (neg.f64 x)))
✓	cost-diff	1856	(/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)
✓	cost-diff	1280	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	960	(/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	320	(/.f64 x (.f64 x (.f64 x x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
✓	cost-diff	1984	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x))

Rules

3 996×	`lower-*.f32`
3 982×	`lower-*.f64`
2 284×	`lower-fma.f64`
2 284×	`lower-fma.f32`
1 574×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	148
0	36	124
1	81	114
2	269	114
3	1148	92
4	2795	92
5	4781	92
0	8112	92

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (1.3%)

Memory

28.8MiB live, 145.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x (neg.f64 x)))
✓	accuracy	25.2%	(/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x x)))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	31.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	31.6%	(/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	84.7%	(/.f64 x (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
✓	accuracy	99.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))

Samples

44.0ms

256×

valid

Compiler

Compiled 150 to 21 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 12.0ms (42.2% of total)

ival-mult: 10.0ms (35.2% of total)

ival-sqrt: 5.0ms (17.6% of total)

ival-neg: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-27.6MiB live, 11.5MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (/.f64 x (.f64 x (.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (.f64 x x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))>
#<alt (/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x x)))>
#<alt (.f64 x (.f64 x (neg.f64 x)))>
#<alt (*.f64 x (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x x))>

Outputs
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (pow x 5))>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (neg x))
0.0ms	x	@	0	(* (* x (* x (neg x))) (* x x))
0.0ms	x	@	-inf	(/ 1 (* x (* x x)))
0.0ms	x	@	inf	(* (* x (* x (neg x))) (* x x))
0.0ms	x	@	-inf	(* (* x (* x (neg x))) (* x x))

simplify173.0ms (3.1%)

Memory

-2.3MiB live, 115.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 476×	`associate-/r*`
1 258×	`pow-sqr`
814×	`pow-plus`
754×	`div-sub`
742×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	840
1	50	840
2	99	840
3	177	840
4	330	840
5	418	840
6	605	840
7	1299	840
8	1784	840
9	2453	840
10	2600	840
11	2639	840
12	2686	840
13	2883	840
14	3121	840
15	3381	840
16	3539	840
17	3687	840
18	3925	840
19	4311	840
20	4935	840
21	4935	840
22	6654	840
23	6654	840
24	6654	840
0	6654	840

Stop Event

1×	iter limit
1×	saturated

Counts

204 → 204

Calls

Call 1

Inputs
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))

Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))

rewrite375.0ms (6.8%)

Memory

26.9MiB live, 502.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 732×	`lower-*.f32`
2 718×	`lower-*.f64`
2 534×	`lower-/.f32`
2 518×	`lower-/.f64`
2 078×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	122
0	36	102
1	130	78
2	821	54
3	3329	52
0	8865	52

Stop Event

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

Counts

17 → 2 500

Calls

Call 1

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

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

eval715.0ms (12.9%)

Memory: 75.0MiB live, 968.5MiB allocated
Compiler: Compiled 97 582 to 7 772 computations (92% saved)

prune450.0ms (8.1%)

Memory

-54.4MiB live, 922.0MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	4 477	2	4 479
Fresh	0	2	2
Picked	1	4	5
Done	0	2	2
Total	4 478	10	4 488

Accuracy

100.0%

Counts

4 488 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x))
▶	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	19.4%	(/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
✓	26.9%	(/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
▶	84.6%	(/.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
✓	84.6%	(/.f64 x (.f64 x (.f64 x x)))
▶	49.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	26.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (.f64 x x))

Compiler

Compiled 108 to 55 computations (49.1% saved)

simplify258.0ms (4.7%)

Memory

12.6MiB live, 244.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 x (sqrt.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
✓	cost-diff	1984	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	1600	(/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(/.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	1088	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	cost-diff	320	(.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	1664	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Rules

5 264×	`lower-*.f32`
5 252×	`lower-*.f64`
3 530×	`lower-/.f32`
3 516×	`lower-/.f64`
2 556×	`cube-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	134
0	34	104
1	75	74
2	175	72
3	684	72
4	1530	72
5	2509	72
6	4147	72
7	4969	72
8	5571	72
9	6928	72
10	7332	72
11	7394	72
12	7394	72
0	8236	72

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.6%)

Memory

-10.3MiB live, 106.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	25.2%	(/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	84.7%	(/.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	50.6%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Samples

39.0ms

256×

valid

Compiler

Compiled 136 to 20 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 14.0ms (50.2% of total)

ival-div: 12.0ms (43% of total)

ival-sqrt: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

48 calls:

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

simplify175.0ms (3.2%)

Memory

14.1MiB live, 88.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 460×	`associate-/r*`
1 258×	`pow-sqr`
814×	`pow-plus`
736×	`lower-*.f64`
736×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	708
1	44	708
2	99	708
3	190	708
4	391	708
5	522	708
6	736	708
7	1422	708
8	1868	708
9	2577	708
10	2739	708
11	2782	708
12	2829	708
13	3026	708
14	3250	708
15	3550	708
16	3724	708
17	3872	708
18	4110	708
19	4496	708
20	5120	708
21	5120	708
22	6839	708
23	6839	708
24	6839	708
0	6839	708

Stop Event

1×	iter limit
1×	saturated

Counts

192 → 192

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 x (.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 x (.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 x (.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))

rewrite185.0ms (3.3%)

Memory

-14.4MiB live, 260.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 536×	`lower-*.f32`
1 524×	`lower-*.f64`
1 248×	`lower-/.f32`
1 234×	`lower-/.f64`
560×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	121
0	34	87
1	131	45
2	579	45
0	2753	45

Stop Event

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

Counts

16 → 1 345

Calls

Call 1

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

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

eval313.0ms (5.7%)

Memory: 61.7MiB live, 421.3MiB allocated
Compiler: Compiled 43 859 to 4 160 computations (90.5% saved)

prune436.0ms (7.9%)

Memory

-23.4MiB live, 505.0MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	2 340	1	2 341
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	2 341	10	2 351

Accuracy

100.0%

Counts

2 351 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x))
✓	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	19.4%	(/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
✓	26.9%	(/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
✓	84.6%	(/.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
✓	84.6%	(/.f64 x (.f64 x (.f64 x x)))
	98.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x)))
✓	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	26.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (.f64 x x))

Compiler

Compiled 293 to 108 computations (63.1% saved)

regimes17.0ms (0.3%)

Memory

10.9MiB live, 48.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms	x
5.0ms	(*.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 12 to 7 computations (41.7% saved)

regimes17.0ms (0.3%)

Memory

5.3MiB live, 42.6MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (.f64 x (.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (.f64 x x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x)))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))

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

Calls

3 calls:

6.0ms	(*.f64 x x)
5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

Memory

-22.9MiB live, 15.1MiB allocated

Accuracy

Total -9.2b remaining (-1322.1%)

Threshold costs -9.2b (-1322.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
98.9%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify6.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness78.0ms (1.4%)

Memory

-39.1MiB live, 60.2MiB allocated

Rules

426×	`lower-*.f32`
424×	`lower-*.f64`
306×	`lower-/.f32`
304×	`lower-/.f64`
242×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	20	6
2	72	6
3	260	6
0	1092	6

Stop Event

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

preprocess32.0ms (0.6%)

Memory: 31.2MiB live, 106.2MiB allocated
Remove: (abs x)
Compiler: Compiled 68 to 44 computations (35.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample478.0ms (8.6%)

preprocess21.0ms (0.4%)

explain51.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize42.0ms (0.8%)

series1.0ms (0%)

simplify4.0ms (0.1%)

rewrite97.0ms (1.7%)

eval14.0ms (0.2%)

prune17.0ms (0.3%)

simplify163.0ms (2.9%)

localize72.0ms (1.3%)

series8.0ms (0.1%)

simplify167.0ms (3%)

rewrite223.0ms (4%)

eval436.0ms (7.9%)

prune189.0ms (3.4%)

simplify152.0ms (2.7%)

localize71.0ms (1.3%)

series6.0ms (0.1%)

simplify173.0ms (3.1%)

rewrite375.0ms (6.8%)

eval715.0ms (12.9%)

prune450.0ms (8.1%)

simplify258.0ms (4.7%)

localize89.0ms (1.6%)

series3.0ms (0.1%)

simplify175.0ms (3.2%)

rewrite185.0ms (3.3%)

eval313.0ms (5.7%)

prune436.0ms (7.9%)

regimes17.0ms (0.3%)

regimes17.0ms (0.3%)

regimes6.0ms (0.1%)

simplify6.0ms (0.1%)

soundness78.0ms (1.4%)

preprocess32.0ms (0.6%)

end0.0ms (0%)

Profiling