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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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)

sample955.0ms (19.7%)

Memory

15.2MiB live, 424.4MiB allocated

Samples

686.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 379.0ms

ival-mult: 243.0ms (64.1% of total)

ival-div: 123.0ms (32.5% of total)

ival-true: 5.0ms (1.3% of total)

exact: 4.0ms (1.1% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain76.0ms (1.6%)

Memory

-1.2MiB live, 74.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	56

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 36.0ms (84.2% of total)

ival-mult: 6.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

preprocess21.0ms (0.4%)

Memory

-12.9MiB live, 24.7MiB 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)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
0	10	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.3%)

Memory

25.7MiB live, 25.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x x)
accuracy	0.3494789285861646	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (53.4% of total)

ival-mult: 2.0ms (53.4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-42.9MiB live, 2.6MiB allocated

Counts

2 → 24

Calls

Call 1

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

Inputs

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

#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/ 1 (* x x))
0.0ms	x	@	inf	(/ 1 (* x x))
0.0ms	x	@	-inf	(/ 1 (* x x))
0.0ms	x	@	0	(* x x)
0.0ms	x	@	inf	(* x x)

simplify4.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB 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)

rewrite68.0ms (1.4%)

Memory

13.3MiB live, 89.1MiB 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×	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))

eval13.0ms (0.3%)

Memory: 26.3MiB live, 26.3MiB allocated
Compiler: Compiled 1 308 to 259 computations (80.2% saved)

prune26.0ms (0.5%)

Memory

-33.1MiB live, 47.4MiB 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))
▶	99.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
	99.4%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	26.0%	(.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)

simplify133.0ms (2.7%)

Memory

6.3MiB live, 120.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
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)

localize70.0ms (1.4%)

Memory

33.8MiB live, 151.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.20703125	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.25228500976844204	(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
accuracy	0	(sqrt.f64 x)
accuracy	0.20703125	(*.f64 x (sqrt.f64 x))
accuracy	0.21712875976844204	(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.3494789285861646	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.0546875	(.f64 x (.f64 x (*.f64 x x)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.10211261629208204	(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
accuracy	44.13428575494468	(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.16015625	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	0	(pow.f64 x #s(literal -2 binary64))

Samples

44.0ms

256×

valid

Compiler

Compiled 112 to 21 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 16.0ms (51.7% of total)

ival-mult: 8.0ms (25.9% of total)

ival-pow: 3.0ms (9.7% of total)

ival-sqrt: 2.0ms (6.5% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-5.7MiB live, 31.8MiB allocated

Counts

14 → 168

Calls

Call 1

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

Outputs
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ 1 x)
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)))

simplify121.0ms (2.5%)

Memory

-25.7MiB live, 61.0MiB 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))

rewrite131.0ms (2.7%)

Memory

26.3MiB live, 184.0MiB allocated

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

eval229.0ms (4.7%)

Memory: -2.0MiB live, 291.8MiB allocated
Compiler: Compiled 19 995 to 2 296 computations (88.5% saved)

prune136.0ms (2.8%)

Memory

-12.4MiB live, 281.7MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 559	5	1 564
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	1 563	8	1 571

Accuracy

100.0%

Counts

1 571 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.1%	(/.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x x))) x)
▶	99.6%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
▶	99.4%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	87.2%	(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
▶	78.9%	(/.f64 x (.f64 x (.f64 x x)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 122 to 62 computations (49.2% saved)

simplify242.0ms (5%)

Memory

41.8MiB live, 271.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 (sqrt.f64 x) (*.f64 x x))
cost-diff	1984	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))
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 x)
cost-diff	384	(/.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x x))) x)
cost-diff	960	(/.f64 (.f64 x 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

5 668×	`lower-*.f32`
5 660×	`lower-*.f64`
3 962×	`lower-/.f32`
3 948×	`lower-/.f64`
2 888×	`cube-div`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	14	111
0	27	105
1	48	105
2	74	77
3	88	77
4	214	77
5	777	77
6	2510	77
7	3816	77
8	5972	75
9	7278	75
10	7500	75
11	7545	75
12	7564	75
13	7570	75
0	8341	75

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

localize53.0ms (1.1%)

Memory

-7.1MiB live, 115.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(sqrt.f64 x)
accuracy	0.20703125	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))
accuracy	9.338743210687099	(/.f64 (sqrt.f64 x) (*.f64 x x))
accuracy	0	(sqrt.f64 x)
accuracy	0.1015625	(.f64 x (.f64 x (sqrt.f64 x)))
accuracy	0.20703125	(*.f64 x (sqrt.f64 x))
accuracy	8.150100854601337	(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
accuracy	0	(*.f64 x x)
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.16015625	(/.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x x))) x)
accuracy	41.09754406768963	(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	13.45379271221035	(/.f64 x (.f64 x (.f64 x x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.16015625	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
accuracy	0.20703125	(*.f64 x (sqrt.f64 x))
accuracy	16.507506410664767	(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))

Samples

31.0ms

256×

valid

Compiler

Compiled 113 to 16 computations (85.8% saved)

Precisions

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

ival-div: 10.0ms (48.7% of total)

ival-mult: 6.0ms (29.2% of total)

ival-sqrt: 4.0ms (19.5% of total)

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

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

series21.0ms (0.4%)

Memory

-28.9MiB live, 9.9MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 x (.f64 x x))) (patch (/.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (patch (/.f64 (.f64 x x) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) x) (patch (/.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) (patch (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 x))) x) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 x x)) (patch (/.f64 (sqrt.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

39 calls:

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

simplify25.0ms (0.5%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Rules

278×	`lower-*.f64`
278×	`lower-*.f32`
272×	`lower-fma.f64`
272×	`lower-fma.f32`
236×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	636
1	52	636
2	130	636
3	237	636
4	530	636
5	714	636
6	838	636
7	873	636
8	875	636
9	875	636
0	875	636

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

rewrite273.0ms (5.6%)

Memory

-15.4MiB live, 419.7MiB allocated

Rules

2 904×	`lower-*.f32`
2 896×	`lower-*.f64`
2 514×	`lower-/.f32`
2 500×	`lower-/.f64`
1 844×	`lower--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	87
0	27	83
1	100	59
2	569	38
3	2966	38
0	8632	38

Stop Event

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

Counts

13 → 2 668

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 x)))
(/.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x x))) x)
(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
(.f64 x (.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (*.f64 x 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 (log.f64 x) (*.f64 (log.f64 x) #s(literal -2 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) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal -3/2 binary64))))
(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 (log.f64 x) #s(literal -3/2 binary64) (*.f64 #s(literal 1/2 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 -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64) (.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x))) (.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x))) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(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 (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 (fma.f64 (log.f64 x) #s(literal -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 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (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)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -3/2 binary64)) (.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -3/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -3/2 binary64)) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(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))) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(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 -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 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 (log.f64 x) #s(literal -3 binary64)) (.f64 (log.f64 x) #s(literal -2 binary64))))
(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)) (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 (log.f64 x) #s(literal -2 binary64))))
(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)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (.f64 (log.f64 x) #s(literal -2 binary64))))
(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))) (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -2 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 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 (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 (.f64 x x)))) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) (/.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))
(/.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 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 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) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (.f64 x (neg.f64 x)) (.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 x) x) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
(/.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (neg.f64 (.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (.f64 x (.f64 x (sqrt.f64 x))))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) x) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (.f64 x (sqrt.f64 x)))) (.f64 (neg.f64 (.f64 x (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) x) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (neg.f64 (.f64 x (.f64 x (sqrt.f64 x))))) (.f64 (neg.f64 (.f64 x (sqrt.f64 x))) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 x)) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (sqrt.f64 x))) (.f64 x x)) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (sqrt.f64 x)))) (.f64 x (neg.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (neg.f64 (.f64 x (sqrt.f64 x))) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 x x)) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) (.f64 x (sqrt.f64 x))) (neg.f64 (.f64 x (.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 x (neg.f64 x))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (sqrt.f64 x))) (.f64 x (.f64 x (sqrt.f64 x)))) (.f64 (.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (sqrt.f64 x)))) (neg.f64 (.f64 x (.f64 x (sqrt.f64 x))))) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (*.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (sqrt.f64 x)))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x)))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 x))))) (neg.f64 (.f64 x (*.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (sqrt.f64 x))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (sqrt.f64 x)))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 x))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) x))) (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) x))))
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(exp.f64 (fma.f64 (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 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (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 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 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 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x))) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x))) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (*.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) (*.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) (.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal 5/2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) (.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) (neg.f64 (.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 -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 x (.f64 x (.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 x x) (.f64 (sqrt.f64 x) (.f64 x (.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (.f64 x (.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (.f64 x (.f64 x (sqrt.f64 x)))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (sqrt.f64 x) (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (.f64 x (sqrt.f64 x))) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x)) (.f64 x (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (.f64 x (sqrt.f64 x)))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) x) (neg.f64 (.f64 x (*.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (neg.f64 (.f64 x (.f64 x (sqrt.f64 x))))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 x)) (.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (sqrt.f64 x))) (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) (.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 x (sqrt.f64 x))) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (sqrt.f64 x)))) (.f64 x (neg.f64 x))) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (.f64 x (sqrt.f64 x)))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x)))) (.f64 (.f64 x (neg.f64 x)) (.f64 x (sqrt.f64 x)))) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (.f64 x (sqrt.f64 x)))))) (.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (sqrt.f64 x))))) (.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 x (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 x (neg.f64 x))) (.f64 (.f64 x (neg.f64 x)) (/.f64 (.f64 x (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (.f64 x (neg.f64 x))) (.f64 (.f64 x (neg.f64 x)) (/.f64 (neg.f64 (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x))) (.f64 x (neg.f64 x))) (.f64 (.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (.f64 x (neg.f64 x))) (.f64 (.f64 x (neg.f64 x)) (/.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (.f64 x (neg.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.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 x (neg.f64 x)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (.f64 x (neg.f64 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 0 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 x (neg.f64 x))))) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) (.f64 x (.f64 x (.f64 x x))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 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 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (*.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) (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (.f64 x (sqrt.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))) #s(literal 1 binary64))
(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (sqrt.f64 x)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x 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 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(.f64 (neg.f64 (.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -7/4 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal -13/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -7/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (pow.f64 x #s(literal -13/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(.f64 (/.f64 (.f64 x (neg.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (sqrt.f64 x)) (.f64 x x))
(.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))

eval700.0ms (14.5%)

Memory: 67.9MiB live, 865.7MiB allocated
Compiler: Compiled 77 183 to 6 464 computations (91.6% saved)

prune523.0ms (10.8%)

Memory

-5.8MiB live, 797.3MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	4 355	2	4 357
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	4 355	10	4 365

Accuracy

100.0%

Counts

4 365 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.1%	(/.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x x))) x)
✓	99.6%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
✓	99.4%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	99.4%	(/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))
✓	87.2%	(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
✓	78.9%	(/.f64 x (.f64 x (.f64 x x)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	87.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))

Compiler

Compiled 95 to 52 computations (45.3% saved)

simplify265.0ms (5.5%)

Memory

7.9MiB live, 165.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))
cost-diff	1152	(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(*.f64 x (sqrt.f64 x))
cost-diff	0	(.f64 x (.f64 x (sqrt.f64 x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x))))
cost-diff	1920	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))

Rules

3 424×	`lower-*.f32`
3 416×	`lower-*.f64`
2 950×	`lower-/.f32`
2 944×	`lower-/.f64`
1 926×	`cube-div`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	59
0	23	55
1	47	51
2	121	43
3	432	43
4	1271	41
5	3516	41
6	5512	41
7	7450	41
0	8175	41

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (1.1%)

Memory

-15.1MiB live, 99.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 x)
accuracy	0.14453125	(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
accuracy	0.3494789285861646	(/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))
accuracy	0.1015625	(.f64 x (.f64 x (sqrt.f64 x)))
accuracy	0.20703125	(*.f64 x (sqrt.f64 x))
accuracy	0.5794318807706254	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x))))
accuracy	7.593721198802137	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))

Samples

38.0ms

256×

valid

Compiler

Compiled 61 to 15 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 16.0ms (66.8% of total)

ival-div: 5.0ms (20.9% of total)

ival-sqrt: 2.0ms (8.4% of total)

ival-neg: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

9 → 108

Calls

Call 1

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

Outputs
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 5))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 5)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 5)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 5)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 5)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 5)) (taylor inf x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 5)) (taylor inf x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 5)) (taylor inf x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 5)) (taylor inf x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 x (sqrt.f64 x))) (patch (.f64 x (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

27 calls:

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

simplify19.0ms (0.4%)

Memory

5.9MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Rules

154×	`lower-*.f64`
154×	`lower-fma.f64`
154×	`lower-fma.f32`
154×	`lower-*.f32`
120×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	396
1	40	396
2	82	396
3	138	396
4	301	396
5	401	396
6	470	396
7	499	396
8	509	396
0	509	396

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

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

rewrite245.0ms (5.1%)

Memory

22.1MiB live, 175.8MiB allocated

Rules

840×	`lower-*.f32`
832×	`lower-*.f64`
678×	`lower-/.f32`
672×	`lower-/.f64`
422×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	53
0	23	54
1	70	32
2	393	24
0	1997	24

Stop Event

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

Counts

9 → 531

Calls

Call 1

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

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

eval80.0ms (1.7%)

Memory: -16.4MiB live, 152.7MiB allocated
Compiler: Compiled 8 103 to 1 049 computations (87.1% saved)

prune64.0ms (1.3%)

Memory

-12.6MiB live, 186.0MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	639	0	639
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	639	10	649

Accuracy

100.0%

Counts

649 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.1%	(/.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x x))) x)
✓	99.6%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
✓	99.4%	(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	99.4%	(/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))
✓	87.2%	(/.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 x))))
✓	78.9%	(/.f64 x (.f64 x (.f64 x x)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	87.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))

Compiler

Compiled 218 to 89 computations (59.2% saved)

regimes16.0ms (0.3%)

Memory

-5.3MiB live, 34.5MiB allocated

Counts

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

7.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes13.0ms (0.3%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

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

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total -13.2b remaining (-3764.2%)

Threshold costs -13.2b (-3764.2%)

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)

simplify26.0ms (0.5%)

Memory

-28.3MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness92.0ms (1.9%)

Memory

36.0MiB live, 108.0MiB 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 34 to 20 computations (41.2% saved)

preprocess103.0ms (2.1%)

Memory: 8.9MiB live, 83.8MiB 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	26	636
1	52	636
2	130	636
3	237	636
4	530	636
5	714	636
6	838	636
7	873	636
8	875	636
9	875	636
0	875	636

Iter	Nodes	Cost
0	22	396
1	40	396
2	82	396
3	138	396
4	301	396
5	401	396
6	470	396
7	499	396
8	509	396
0	509	396

Iter	Nodes	Cost
0	26	636
1	52	636
2	130	636
3	237	636
4	530	636
5	714	636
6	838	636
7	873	636
8	875	636
9	875	636
0	875	636

Iter	Nodes	Cost
0	22	396
1	40	396
2	82	396
3	138	396
4	301	396
5	401	396
6	470	396
7	499	396
8	509	396
0	509	396

start0.0ms (0%)

analyze1.0ms (0%)

sample955.0ms (19.7%)

explain76.0ms (1.6%)

preprocess21.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.3%)

series6.0ms (0.1%)

simplify4.0ms (0.1%)

rewrite68.0ms (1.4%)

eval13.0ms (0.3%)

prune26.0ms (0.5%)

simplify133.0ms (2.7%)

localize70.0ms (1.4%)

series13.0ms (0.3%)

simplify121.0ms (2.5%)

rewrite131.0ms (2.7%)

eval229.0ms (4.7%)

prune136.0ms (2.8%)

simplify242.0ms (5%)

localize53.0ms (1.1%)

series21.0ms (0.4%)

simplify25.0ms (0.5%)

rewrite273.0ms (5.6%)

eval700.0ms (14.5%)

prune523.0ms (10.8%)

simplify265.0ms (5.5%)

localize53.0ms (1.1%)

series3.0ms (0.1%)

simplify19.0ms (0.4%)

rewrite245.0ms (5.1%)

eval80.0ms (1.7%)

prune64.0ms (1.3%)

regimes16.0ms (0.3%)

regimes13.0ms (0.3%)

regimes4.0ms (0.1%)

simplify26.0ms (0.5%)

soundness92.0ms (1.9%)

preprocess103.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	636
1	52	636
2	130	636
3	237	636
4	530	636
5	714	636
6	838	636
7	873	636
8	875	636
9	875	636
0	875	636

Iter	Nodes	Cost
0	22	396
1	40	396
2	82	396
3	138	396
4	301	396
5	401	396
6	470	396
7	499	396
8	509	396
0	509	396