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

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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)

sample458.0ms (10%)

Memory

18.8MiB live, 645.5MiB allocated

Samples

277.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 68.0ms (47.8% of total)

ival-div: 62.0ms (43.6% of total)

ival-true: 5.0ms (3.5% of total)

exact: 5.0ms (3.5% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

preprocess16.0ms (0.4%)

Memory

21.5MiB live, 21.5MiB 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)

explain50.0ms (1.1%)

Memory

-3.0MiB live, 77.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
3	1	(2.9414802173680515e+161)	-	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`	n/o	4	0
↳	`(*.f64 x x)`	overflow	80

Confusion

	Predicted +	Predicted -
+	3	0
-	1	252

Precision

0.75

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	1	0	252

Precision?

0.75

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

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

ival-mult: 9.0ms (70.2% of total)

ival-div: 3.0ms (23.4% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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

localize19.0ms (0.4%)

Memory

-13.7MiB live, 23.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

13.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 7.0ms (80.6% of total)

ival-div: 2.0ms (23% 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

1.7MiB live, 1.7MiB 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)

rewrite76.0ms (1.7%)

Memory

-7.9MiB live, 67.2MiB 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))

simplify4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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)

eval12.0ms (0.3%)

Memory: 25.2MiB live, 25.2MiB allocated
Compiler: Compiled 1 284 to 259 computations (79.8% saved)

prune22.0ms (0.5%)

Memory

-6.6MiB live, 38.0MiB 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))
▶	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
	99.6%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	23.4%	(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))

Compiler

Compiled 120 to 72 computations (40% saved)

simplify129.0ms (2.8%)

Memory

-0.0MiB live, 113.9MiB 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	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 x (sqrt.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	cost-diff	1600	(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
✓	cost-diff	0	(.f64 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

3 474×	`lower-*.f32`
3 462×	`lower-*.f64`
1 666×	`lower-fma.f64`
1 666×	`lower-fma.f32`
1 594×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	110
0	34	81
1	63	74
2	131	74
3	592	74
4	3046	74
5	6265	74
6	7922	74
0	8571	74

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

localize100.0ms (2.2%)

Memory

-16.2MiB live, 75.3MiB 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	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.7%	(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.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	28.5%	(.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	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal -2 binary64))

Samples

76.0ms

256×

valid

Compiler

Compiled 112 to 21 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-neg: 37.0ms (57.4% of total)

ival-mult: 13.0ms (20.2% of total)

ival-div: 9.0ms (14% of total)

ival-pow: 3.0ms (4.7% of total)

ival-sqrt: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

14 → 168

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

42 calls:

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

rewrite137.0ms (3%)

Memory

-3.1MiB live, 228.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 446×	`lower-fma.f64`
1 446×	`lower-fma.f32`
1 278×	`lower-*.f32`
1 266×	`lower-*.f64`
1 104×	`div-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	34	60
1	106	45
2	469	43
3	3647	41
0	8776	41

Stop Event

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

Counts

14 → 1 175

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

Outputs
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) 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)))
(-.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) (sqrt.f64 x)) (/.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 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
(/.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x 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 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64))))
(/.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 x (.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (.f64 (.f64 x (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 x x) (*.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 x (sqrt.f64 x)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 x))) (.f64 x (sqrt.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 x (sqrt.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 x (sqrt.f64 x)))
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(/.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 x))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal -8 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (sqrt.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 x (*.f64 x x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 x (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 (neg.f64 (sqrt.f64 x)) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x)
(.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x (sqrt.f64 x)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 x (*.f64 x x))) (sqrt.f64 x))
(.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) 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) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 x) (.f64 x (*.f64 x x))) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (.f64 x (*.f64 x x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (.f64 x x) (.f64 (.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) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (log.f64 x) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -3/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x x))
(/.f64 (.f64 x (sqrt.f64 x)) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x)))))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) x)
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -3/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal -6 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal -3/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(neg.f64 (.f64 x (.f64 x 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 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) x)
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 x (.f64 x x))))
(/.f64 (.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (.f64 x (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (.f64 x (.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 12 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.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 (sqrt.f64 x) (.f64 x (*.f64 x (sqrt.f64 x))))
(.f64 (.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(.f64 (.f64 x (sqrt.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x (*.f64 x (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(.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 x (*.f64 x (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 x (sqrt.f64 x)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))

simplify136.0ms (3%)

Memory

-26.3MiB live, 94.9MiB allocated

Algorithm

1×	egg-herbie

Rules

740×	`lower-*.f64`
740×	`lower-fma.f64`
740×	`lower-fma.f32`
740×	`lower-*.f32`
556×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	696
1	51	696
2	128	696
3	290	696
4	733	696
5	1252	696
6	1664	696
7	2222	696
8	2480	696
9	2554	696
10	2580	696
11	2628	696
12	2757	696
13	2757	696
14	2757	696
15	2757	696
0	2757	696

Stop Event

1×	iter limit
1×	saturated

Counts

168 → 168

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)
(* -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)))
(/ 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 (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) (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)))
(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)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 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) (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 (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) (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))))
(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))

eval178.0ms (3.9%)

Memory: 13.0MiB live, 308.2MiB allocated
Compiler: Compiled 19 779 to 2 296 computations (88.4% saved)

prune166.0ms (3.6%)

Memory

-11.5MiB live, 220.5MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 557	7	1 564
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	1 561	10	1 571

Accuracy

100.0%

Counts

1 571 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	23.7%	(/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
▶	92.2%	(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
▶	84.2%	(/.f64 x (.f64 x (.f64 x x)))
✓	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
	84.1%	(.f64 (/.f64 (sqrt.f64 x) (.f64 x (*.f64 x x))) (sqrt.f64 x))
▶	23.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))

Compiler

Compiled 174 to 90 computations (48.3% saved)

simplify395.0ms (8.7%)

Memory

22.3MiB live, 293.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (sqrt.f64 x))
✓	cost-diff	0	(.f64 x (.f64 x (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	1600	(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	1280	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 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	(*.f64 x (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	384	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
✓	cost-diff	1600	(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))

Rules

7 288×	`lower-*.f32`
7 276×	`lower-*.f64`
3 352×	`cube-prod`
3 018×	`lower-/.f32`
3 006×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	127
0	28	111
1	55	105
2	116	81
3	340	81
4	790	81
5	2052	81
6	3558	81
7	4756	81
8	5163	81
9	5711	81
10	6533	81
11	7077	81
0	8730	81

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (1.5%)

Memory

-22.9MiB live, 114.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(.f64 x (.f64 x (sqrt.f64 x)))
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	92.2%	(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.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) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	28.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 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	28.5%	(/.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	84.3%	(/.f64 x (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	66.6%	(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))

Samples

45.0ms

256×

valid

Compiler

Compiled 129 to 17 computations (86.8% saved)

Precisions

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

ival-div: 20.0ms (59.1% of total)

ival-mult: 12.0ms (35.5% of total)

ival-sqrt: 2.0ms (5.9% 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

8.0MiB live, 8.0MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite373.0ms (8.2%)

Memory

10.9MiB live, 442.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 682×	`lower-*.f32`
2 670×	`lower-*.f64`
2 166×	`lower-/.f32`
2 154×	`lower-/.f64`
1 706×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	92
0	28	82
1	96	58
2	473	38
3	2831	38
0	8450	38

Stop Event

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

Counts

13 → 2 277

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/4 binary64)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -4 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -4 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (log.f64 x) (neg.f64 (*.f64 #s(literal 2 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 1/2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal -3 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (*.f64 #s(literal -4 binary64) (log.f64 x))))
(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 (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x))) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -4 binary64) (log.f64 x))) (log.f64 x)))
(exp.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))) (log.f64 x)))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal -4 binary64) (log.f64 x) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal 2 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 #s(literal 3 binary64) (log.f64 x)) (.f64 #s(literal 4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64)) (neg.f64 (*.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 2 binary64) (log.f64 x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (.f64 #s(literal -4 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal -4 binary64) (log.f64 x) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3 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 3 binary64) (log.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -4 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (fma.f64 #s(literal 2 binary64) (log.f64 x) (.f64 #s(literal -4 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (fma.f64 #s(literal -4 binary64) (log.f64 x) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (neg.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)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (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 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 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 2 binary64) (log.f64 x) (.f64 #s(literal -4 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 -4 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 -4 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 -4 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 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (neg.f64 (.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)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 x (*.f64 x x))
(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x (.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x)))) (.f64 (.f64 x (.f64 x x)) (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))) (.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (sqrt.f64 x)))) (.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x))) (.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (sqrt.f64 x))) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (neg.f64 (.f64 x (*.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)))) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) (/.f64 x (.f64 x (neg.f64 x))))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) x) (.f64 x (.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (neg.f64 x) (/.f64 x #s(literal -1 binary64)))) (.f64 x (.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (neg.f64 x) (/.f64 (neg.f64 x) x))) (.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) (/.f64 (neg.f64 x) (.f64 x x)))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) (/.f64 (.f64 x x) (.f64 x (.f64 x (neg.f64 x)))))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (neg.f64 x) (/.f64 (.f64 x x) (.f64 x (neg.f64 x))))) (.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (neg.f64 x) (/.f64 (.f64 x x) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (.f64 (neg.f64 x) (.f64 x (*.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) (.f64 (neg.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x)))) (neg.f64 (.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (neg.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (neg.f64 x) (/.f64 (.f64 x (neg.f64 x)) (.f64 x x)))) (.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) (/.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 x x))))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) (.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) (.f64 x (neg.f64 x))))) (neg.f64 (.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (sqrt.f64 x))) (.f64 (neg.f64 x) (/.f64 (neg.f64 x) (.f64 x (sqrt.f64 x))))) (neg.f64 (.f64 x (.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (sqrt.f64 x))) (.f64 x x)) (.f64 x (.f64 x (.f64 x (neg.f64 x)))))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 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 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(.f64 (neg.f64 x) (/.f64 x (.f64 x (.f64 x (.f64 x (neg.f64 x))))))
(.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 (sqrt.f64 x) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x (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) (.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) (neg.f64 x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 x (neg.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x x) (.f64 x (.f64 x (neg.f64 x)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -9/4 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 x (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (neg.f64 x) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (.f64 x x) (.f64 x (neg.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(.f64 (/.f64 x (.f64 x (neg.f64 x))) (/.f64 (neg.f64 x) (*.f64 x x)))
(.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 (neg.f64 x) (.f64 x x)) (/.f64 x (*.f64 x (neg.f64 x))))
(.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 x x) (.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (pow.f64 x #s(literal -7/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -7/4 binary64)))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal -9/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(exp.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 x) (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 x) (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 #s(literal 3/2 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 #s(literal 1/2 binary64) (log.f64 x)) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (.f64 #s(literal -4 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (fma.f64 #s(literal -4 binary64) (log.f64 x) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x (sqrt.f64 x)))))
(neg.f64 (neg.f64 (.f64 x (.f64 x (sqrt.f64 x)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))))
(/.f64 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 x (sqrt.f64 x)))) #s(literal -1 binary64))
(/.f64 (.f64 (sqrt.f64 x) (.f64 x (*.f64 x x))) x)
(/.f64 (.f64 (sqrt.f64 x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (.f64 (sqrt.f64 x) (.f64 x (*.f64 x (neg.f64 x)))) (neg.f64 x))
(/.f64 (.f64 (sqrt.f64 x) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 x (*.f64 x (neg.f64 x))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x)))) (sqrt.f64 x)) (*.f64 x (neg.f64 x)))
(pow.f64 x #s(literal 5/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/4 binary64))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 x x))
(.f64 (.f64 x (sqrt.f64 x)) x)
(.f64 (.f64 x x) (sqrt.f64 x))
(.f64 (.f64 x (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (sqrt.f64 x))))
(.f64 (.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (*.f64 x (sqrt.f64 x)))))
(.f64 (neg.f64 (.f64 x (sqrt.f64 x))) (neg.f64 x))
(.f64 (neg.f64 x) (neg.f64 (.f64 x (sqrt.f64 x))))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (sqrt.f64 x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))

simplify193.0ms (4.2%)

Memory

-21.1MiB live, 92.9MiB allocated

Algorithm

1×	egg-herbie

Rules

214×	`lower-*.f64`
214×	`lower-*.f32`
208×	`lower-fma.f64`
208×	`lower-fma.f32`
178×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	624
1	46	624
2	104	624
3	185	624
4	414	624
5	554	624
6	647	624
7	674	624
8	676	624
9	676	624
0	676	624

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

Calls

Call 1

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

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

eval791.0ms (17.3%)

Memory: -78.3MiB live, 897.9MiB allocated
Compiler: Compiled 74 138 to 5 663 computations (92.4% saved)

prune398.0ms (8.7%)

Memory

-27.2MiB live, 795.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	3 958	2	3 960
Fresh	2	0	2
Picked	1	4	5
Done	0	3	3
Total	3 961	9	3 970

Accuracy

100.0%

Counts

3 970 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	23.8%	(/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))
✓	92.2%	(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
✓	84.2%	(/.f64 x (.f64 x (.f64 x x)))
✓	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	23.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
▶	99.4%	(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (.f64 x x)))

Compiler

Compiled 87 to 46 computations (47.1% saved)

simplify278.0ms (6.1%)

Memory

10.0MiB live, 327.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	960	(/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	448	(/.f64 (neg.f64 x) (*.f64 x x))
✓	cost-diff	704	(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (.f64 x x)))

Rules

3 970×	`lower-*.f32`
3 964×	`lower-*.f64`
2 968×	`lower-fma.f64`
2 968×	`lower-fma.f32`
1 528×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	48
0	16	44
1	37	40
2	105	30
3	236	30
4	430	30
5	1480	30
6	2675	30
7	5110	30
8	6226	30
9	6596	30
10	6808	30
11	7046	30
12	7988	30
0	8004	30

Stop Event

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

Calls

Call 1

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

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

localize33.0ms (0.7%)

Memory

13.0MiB live, 89.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	28.5%	(/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (.f64 x x)))
✓	accuracy	51.1%	(/.f64 (neg.f64 x) (*.f64 x x))

Samples

21.0ms

256×

valid

Compiler

Compiled 50 to 11 computations (78% saved)

Precisions

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

ival-div: 5.0ms (41.1% of total)

ival-mult: 5.0ms (41.1% of total)

ival-neg: 1.0ms (8.2% 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

4.1MiB live, 4.1MiB allocated

Counts

7 → 84

Calls

Call 1

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

21 calls:

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

rewrite120.0ms (2.6%)

Memory

-26.4MiB live, 208.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 334×	`frac-times`
602×	`lower-*.f32`
596×	`lower-*.f64`
540×	`lower-/.f32`
534×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	16	42
1	62	20
2	400	20
0	2713	20

Stop Event

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

Counts

7 → 405

Calls

Call 1

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

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

simplify11.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
8×	`lower-/.f32`
8×	`lower-/.f64`
6×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	288
1	15	288
2	18	288
3	19	288
4	21	288
5	23	288
6	27	288
7	36	288
8	39	288
0	39	288

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

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 x)
(/ -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 x)
(/ -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 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 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 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 (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 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 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 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 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))

eval97.0ms (2.1%)

Memory: 15.8MiB live, 167.4MiB allocated
Compiler: Compiled 12 612 to 1 257 computations (90% saved)

prune140.0ms (3.1%)

Memory

-16.3MiB live, 159.0MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	804	0	804
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	804	9	813

Accuracy

100.0%

Counts

813 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	23.8%	(/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))
✓	92.2%	(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
✓	84.2%	(/.f64 x (.f64 x (.f64 x x)))
✓	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	23.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
✓	99.4%	(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (.f64 x x)))

Compiler

Compiled 234 to 86 computations (63.2% saved)

regimes15.0ms (0.3%)

Memory

-6.9MiB live, 31.2MiB 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 x x) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.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) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 x) (.f64 x (*.f64 x x))) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal -2 binary64))

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

Calls

3 calls:

6.0ms	(*.f64 x x)
5.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (*.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)

regimes15.0ms (0.3%)

Memory

-8.5MiB live, 29.6MiB allocated

Counts

15 → 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 x x) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.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) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 x) (.f64 x (*.f64 x x))) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Accuracy

Total -9.8b remaining (-3252.2%)

Threshold costs -9.8b (-3252.2%)

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:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.5%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB 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))

soundness73.0ms (1.6%)

Memory

-2.4MiB live, 115.0MiB 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×	done
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 24 to 15 computations (37.5% saved)

preprocess38.0ms (0.8%)

Memory: -29.2MiB live, 88.1MiB allocated
Remove: (abs x)
Compiler: Compiled 68 to 44 computations (35.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	624
1	46	624
2	104	624
3	185	624
4	414	624
5	554	624
6	647	624
7	674	624
8	676	624
9	676	624
0	676	624

Iter	Nodes	Cost
0	10	288
1	15	288
2	18	288
3	19	288
4	21	288
5	23	288
6	27	288
7	36	288
8	39	288
0	39	288

Iter	Nodes	Cost
0	25	624
1	46	624
2	104	624
3	185	624
4	414	624
5	554	624
6	647	624
7	674	624
8	676	624
9	676	624
0	676	624

Iter	Nodes	Cost
0	10	288
1	15	288
2	18	288
3	19	288
4	21	288
5	23	288
6	27	288
7	36	288
8	39	288
0	39	288

analyze1.0ms (0%)

sample458.0ms (10%)

preprocess16.0ms (0.4%)

explain50.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.4%)

series1.0ms (0%)

rewrite76.0ms (1.7%)

simplify4.0ms (0.1%)

eval12.0ms (0.3%)

prune22.0ms (0.5%)

simplify129.0ms (2.8%)

localize100.0ms (2.2%)

series8.0ms (0.2%)

rewrite137.0ms (3%)

simplify136.0ms (3%)

eval178.0ms (3.9%)

prune166.0ms (3.6%)

simplify395.0ms (8.7%)

localize69.0ms (1.5%)

series3.0ms (0.1%)

rewrite373.0ms (8.2%)

simplify193.0ms (4.2%)

eval791.0ms (17.3%)

prune398.0ms (8.7%)

simplify278.0ms (6.1%)

localize33.0ms (0.7%)

series1.0ms (0%)

rewrite120.0ms (2.6%)

simplify11.0ms (0.2%)

eval97.0ms (2.1%)

prune140.0ms (3.1%)

regimes15.0ms (0.3%)

regimes15.0ms (0.3%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness73.0ms (1.6%)

preprocess38.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	624
1	46	624
2	104	624
3	185	624
4	414	624
5	554	624
6	647	624
7	674	624
8	676	624
9	676	624
0	676	624

Iter	Nodes	Cost
0	10	288
1	15	288
2	18	288
3	19	288
4	21	288
5	23	288
6	27	288
7	36	288
8	39	288
0	39	288