Metrics for Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample542.0ms (8.1%)

Memory

9.6MiB live, 556.6MiB allocated

Samples

277.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 57.0ms (46.2% of total)

ival-sub: 54.0ms (43.8% of total)

ival-true: 6.0ms (4.9% of total)

exact: 4.0ms (3.2% of total)

ival-assert: 3.0ms (2.4% of total)

Bogosity

preprocess61.0ms (0.9%)

Memory

-20.5MiB live, 55.1MiB allocated

Algorithm

1×	egg-herbie

Rules

136×	`fma-define`
67×	`fmm-def`
37×	`associate-r`
34×	`distribute-lft-in`
28×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	34	78
2	73	76
3	207	75
4	399	75
5	704	75
6	711	75

Stop Event

1×

saturated

Calls

Call 1

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

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

explain46.0ms (0.7%)

Memory

-10.2MiB live, 76.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`
-	-	`(-.f64 x #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

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

ival-mult: 4.0ms (49.5% of total)

ival-sub: 3.0ms (37.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify18.0ms (0.3%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

92×	`fma-define`
68×	`fmm-def`
17×	`cancel-sign-sub-inv`
16×	`distribute-rgt-in`
14×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	18	34
2	24	34
3	30	34
4	34	34
5	39	34
6	50	34
7	70	34
8	141	34
9	263	34
10	370	34
11	392	34
12	394	34

Stop Event

1×

saturated

Calls

Call 1

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

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

localize13.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (57.7% of total)

ival-sub: 1.0ms (28.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

2 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite265.0ms (4%)

Memory

-1.4MiB live, 276.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

349×	`log1p-expm1-u`
349×	`expm1-log1p-u`
331×	`add-exp-log`
318×	`add-log-exp`
317×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	84	29
2	1015	29

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) x))
(+.f64 (fma.f64 x x (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 x x (*.f64 x #s(literal -1 binary64)))
(fma.f64 x x (*.f64 #s(literal -1 binary64) x))
(fma.f64 x x (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (neg.f64 x))
(+.f64 x #s(literal -1 binary64))
(+.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (cbrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))

simplify184.0ms (2.7%)

Memory

9.2MiB live, 124.4MiB allocated

Algorithm

1×	egg-herbie

Rules

610×	`distribute-lft-in`
586×	`fma-define`
568×	`distribute-rgt-in`
284×	`prod-exp`
192×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	280	5075
1	581	4545
2	1528	3205
3	6402	3193

Stop Event

1×	node limit

Counts

138 → 165

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal -1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) x))
(+.f64 (fma.f64 x x (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 x x (*.f64 x #s(literal -1 binary64)))
(fma.f64 x x (*.f64 #s(literal -1 binary64) x))
(fma.f64 x x (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (*.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (neg.f64 x))
(+.f64 x #s(literal -1 binary64))
(+.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (cbrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))

Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
#s(literal -1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 #s(literal -1 binary64) x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (fma.f64 x x (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (*.f64 #s(literal 0 binary64) x) (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)))
(-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (*.f64 #s(literal 0 binary64) x) (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)))
(-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) x)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) x)) x))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
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(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal -1 binary64) x) (cbrt.f64 (+.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal -1 binary64) x) (cbrt.f64 (+.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (cbrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 #s(literal -1 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 #s(literal -1 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)

eval37.0ms (0.6%)

Memory: -68.0MiB live, 43.9MiB allocated
Compiler: Compiled 2 008 to 466 computations (76.8% saved)

prune20.0ms (0.3%)

Memory

14.7MiB live, 52.1MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	163	3	166

Accuracy

100.0%

Counts

166 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 x #s(literal 1 binary64)))
▶	53.9%	(*.f64 x x)
▶	48.6%	(neg.f64 x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify8.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(neg.f64 x)

Rules

4×	`fma-define`
3×	`sub-neg`
3×	`distribute-lft-in`
2×	`+-commutative`
1×	`mul0-rgt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	12	29
2	14	29
3	16	29
4	21	29
5	25	29
6	34	29
7	40	29

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 x)
x
(*.f64 x x)
x

Outputs
(neg.f64 x)
x
(*.f64 x x)
x

localize14.0ms (0.2%)

Memory

-9.0MiB live, 29.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 x)

Samples

10.0ms

256×

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (61.5% of total)

ival-neg: 1.0ms (30.7% of total)

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

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

series1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (neg.f64 x)>
#<alt (*.f64 x x)>

Outputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>

Calls

6 calls:

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

rewrite61.0ms (0.9%)

Memory

-13.5MiB live, 31.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

658×	`prod-diff`
310×	`log1p-expm1-u`
263×	`associate-r`
249×	`expm1-log1p-u`
196×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	68	8
2	745	2
3	6385	2

Stop Event

1×	node limit

Counts

2 → 2

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify12.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`fma-define`
3×	`sub-neg`
3×	`distribute-lft-in`
2×	`+-commutative`
1×	`mul0-rgt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	218
1	14	218
2	15	218
3	16	218
4	18	218
5	23	218
6	27	218
7	36	218
8	42	218

Stop Event

1×

saturated

Counts

26 → 4

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

eval1.0ms (0%)

Memory: 1.7MiB live, 1.7MiB allocated
Compiler: Compiled 10 to 7 computations (30% saved)

prune3.0ms (0%)

Memory

-33.4MiB live, 5.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	3	4	7

Accuracy

100.0%

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 x #s(literal 1 binary64)))
✓	53.9%	(*.f64 x x)
✓	48.6%	(neg.f64 x)
▶	3.5%	#s(literal 0 binary64)

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

localize6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Samples

4.0ms

256×

valid

Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 x #s(literal 1 binary64)))
✓	53.9%	(*.f64 x x)
✓	48.6%	(neg.f64 x)
✓	3.5%	#s(literal 0 binary64)

Compiler

Compiled 27 to 17 computations (37% saved)

regimes6.0ms (0.1%)

Memory

-26.3MiB live, 12.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(*.f64 x x)

Outputs
(*.f64 x x)
(neg.f64 x)
(*.f64 x x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.3%)

Memory

-2.4MiB live, 36.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.028262279932632313	1160.1691315650248
7.0ms	-2.8163771291888864	-0.014917071597997296

Samples

7.0ms

240×

valid

Compiler

Compiled 144 to 98 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (63.8% of total)

ival-sub: 1.0ms (31.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg`
3×	`1-exp`
3×	`*-commutative`
3×	`+-commutative`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
1	34	80
2	39	80
3	45	80

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 1 binary64)) (neg.f64 x) (.f64 x x)))
(neg.f64 x)
#s(literal 0 binary64)

Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 1 binary64)) (neg.f64 x) (.f64 x x)))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x x) (neg.f64 x))
(neg.f64 x)
#s(literal 0 binary64)

soundness5.3s (79%)

Memory

-4.6MiB live, 192.4MiB allocated

Rules

658×	`prod-diff`
610×	`distribute-lft-in`
586×	`fma-define`
568×	`distribute-rgt-in`
310×	`log1p-expm1-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	68	8
2	745	2
3	6385	2
0	280	5075
1	581	4545
2	1528	3205
3	6402	3193

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 216 to 98 computations (54.6% saved)

preprocess74.0ms (1.1%)

Memory: -6.1MiB live, 71.0MiB allocated
Compiler: Compiled 70 to 40 computations (42.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	34
1	18	34
2	24	34
3	30	34
4	34	34
5	39	34
6	50	34
7	70	34
8	141	34
9	263	34
10	370	34
11	392	34
12	394	34

Iter	Nodes	Cost
0	8	34
1	18	34
2	24	34
3	30	34
4	34	34
5	39	34
6	50	34
7	70	34
8	141	34
9	263	34
10	370	34
11	392	34
12	394	34

analyze0.0ms (0%)

sample542.0ms (8.1%)

preprocess61.0ms (0.9%)

explain46.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.3%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite265.0ms (4%)

simplify184.0ms (2.7%)

eval37.0ms (0.6%)

prune20.0ms (0.3%)

simplify8.0ms (0.1%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (0.9%)

simplify12.0ms (0.2%)

eval1.0ms (0%)

prune3.0ms (0%)

simplify6.0ms (0.1%)

localize6.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch17.0ms (0.3%)

simplify3.0ms (0%)

soundness5.3s (79%)

preprocess74.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	34
1	18	34
2	24	34
3	30	34
4	34	34
5	39	34
6	50	34
7	70	34
8	141	34
9	263	34
10	370	34
11	392	34
12	394	34