Metrics for Logistic function from Lakshay Garg

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

Precisions

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

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.9s (27.8%)

Results

663.0ms	5019×	256	valid
758.0ms	2072×	1024	valid
223.0ms	1031×	512	valid
50.0ms	133×	2048	valid
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 787.0ms

Operation ival-exp, time spent: 318.0ms, 40.0% of total-time

Operation ival-mult, time spent: 128.0ms, 16.0% of total-time

Operation ival-div, time spent: 126.0ms, 16.0% of total-time

Operation ival-add, time spent: 93.0ms, 12.0% of total-time

Operation ival-sub, time spent: 81.0ms, 10.0% of total-time

Operation const, time spent: 41.0ms, 5.0% of total-time

Bogosity

preprocess711.0ms (10.7%)

Algorithm

1×	egg-herbie

Rules

180×	`fma-define`
166×	`fma-neg`
94×	`sub-neg`
56×	`+-commutative`
54×	`exp-prod`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
131	-	1	(-0.013088735945269766 9.829991434065475e-197)	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
0	-	0	-	`x`
0	-	0	-	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
0	-	0	-	`(*.f64 -2 x)`
0	-	0	-	`(exp.f64 (*.f64 -2 x))`
0	-	0	-	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
0	-	0	-	`2`
0	-	0	-	`-2`
0	-	0	-	`1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	240
1	56	232
2	98	224
3	148	224
4	189	224
5	251	224
6	314	224
7	365	224
8	433	224
9	524	224
10	586	224
11	606	224
12	647	224
13	676	224
14	684	224
15	706	224

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1))
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (neg.f64 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 2) x))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1))
(neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (neg.f64 x)))) -1))
(+.f64 (neg.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 2 x))))) 1)
(-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
(neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 (neg.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(-.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)

Symmetry

(abs y)

Compiler

Compiled 88 to 75 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 395.0ms

Operation ival-exp, time spent: 226.0ms, 57.0% of total-time

Operation ival-div, time spent: 72.0ms, 18.0% of total-time

Operation ival-mult, time spent: 70.0ms, 18.0% of total-time

Operation ival-add, time spent: 15.0ms, 4.0% of total-time

Operation const, time spent: 8.0ms, 2.0% of total-time

Operation ival-sub, time spent: 5.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 22 to 20 computations (9.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 12 to 11 computations (8.3% saved)

localize144.0ms (2.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓	100.0%	(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓	53.5%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 38 to 32 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

Operation ival-exp, time spent: 36.0ms, 44.0% of total-time

Operation ival-mult, time spent: 18.0ms, 22.0% of total-time

Operation ival-div, time spent: 11.0ms, 14.0% of total-time

Operation ival-add, time spent: 9.0ms, 11.0% of total-time

Operation const, time spent: 4.0ms, 5.0% of total-time

Operation ival-sub, time spent: 4.0ms, 5.0% of total-time

series9.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms	x	@	-inf	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms	x	@	0	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms	x	@	-inf	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
1.0ms	x	@	inf	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

rewrite229.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`unpow-prod-down`
751×	`log1p-expm1-u`
751×	`expm1-log1p-u`
706×	`log-prod`
500×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	160	78
2	2118	78

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

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

eval110.0ms (1.7%)

Compiler: Compiled 4240 to 3874 computations (8.6% saved)

prune37.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	203	8	211
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	203	9	212

Accuracy

100.0%

Counts

212 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.6%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
▶	28.3%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
	27.6%	(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
✓	53.5%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	6.9%	(-.f64 (+.f64 1 x) 1)
▶	51.5%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2)))) 1/3))))
	52.9%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))
▶	51.3%	(.f64 x (+.f64 1 (.f64 -1/3 (pow.f64 x 2))))
▶	53.1%	x

Compiler

Compiled 224 to 189 computations (15.6% saved)

localize498.0ms (7.5%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2)))) 1/3))))
✓	99.8%	(.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2))))
✓	99.8%	(.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (*.f64 -17/315 (pow.f64 x 2)))) 1/3))
✓	99.7%	(*.f64 -17/315 (pow.f64 x 2))
✓	99.9%	(.f64 x (+.f64 1 (.f64 -1/3 (pow.f64 x 2))))
✓	99.8%	(*.f64 -1/3 (pow.f64 x 2))
✓	100.0%	(.f64 x (-.f64 (.f64 2 x) 2))
✓	99.3%	(/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2))))
✓	53.5%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
✓	53.5%	(-.f64 (+.f64 1 x) 1)

Compiler

Compiled 195 to 156 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

Operation ival-mult, time spent: 95.0ms, 36.0% of total-time

Operation ival-pow, time spent: 71.0ms, 27.0% of total-time

Operation ival-add, time spent: 45.0ms, 17.0% of total-time

Operation ival-sub, time spent: 27.0ms, 10.0% of total-time

Operation const, time spent: 17.0ms, 6.0% of total-time

Operation ival-div, time spent: 7.0ms, 3.0% of total-time

series27.0ms (0.4%)

Counts

10 → 84

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 -1/3 (pow.f64 x 2))
2.0ms	x	@	-inf	(.f64 x (+.f64 1 (.f64 -1/3 (pow.f64 x 2))))
1.0ms	x	@	inf	(-.f64 (+.f64 1 x) 1)
1.0ms	x	@	inf	(.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (*.f64 -17/315 (pow.f64 x 2)))) 1/3))
1.0ms	x	@	inf	(.f64 x (+.f64 1 (.f64 -1/3 (pow.f64 x 2))))

rewrite112.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`associate-r`
298×	`associate-l`
253×	`log1p-expm1-u`
253×	`expm1-log1p-u`
245×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	332
1	543	288

Stop Event

1×	node limit

Counts

10 → 250

Calls

Call 1

Inputs
(-.f64 (+.f64 1 x) 1)
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
(/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2))))
(.f64 x (-.f64 (.f64 2 x) 2))
(*.f64 -1/3 (pow.f64 x 2))
(.f64 x (+.f64 1 (.f64 -1/3 (pow.f64 x 2))))
(*.f64 -17/315 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (*.f64 -17/315 (pow.f64 x 2)))) 1/3))
(.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2))))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2)))) 1/3))))

Outputs
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 -1 (+.f64 1 x))
(+.f64 (+.f64 x -1) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(pow.f64 x 1)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)))
(*.f64 1 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1))
(*.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)))
(*.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 3)) -1) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))))
(*.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) -1) (/.f64 1 (+.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 1) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 1))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)))) (+.f64 (/.f64 8 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 3)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) -1)))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 3)) -1) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 3)) -1) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) (-.f64 1 (*.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) -1) (+.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) -1) (-.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 3)) -1)) (neg.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))))
(/.f64 (neg.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)) -1)) (neg.f64 (+.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)))))
(pow.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1) 3))
(expm1.f64 (log.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)) 1))
(fma.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)
(fma.f64 2 (/.f64 1 (fma.f64 x (fma.f64 x 2 -2) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) (sqrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) -1)
(-.f64 (+.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 1)
(*.f64 1 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)))
(*.f64 2 (/.f64 1 (fma.f64 x (fma.f64 x 2 -2) 2)))
(.f64 2 (.f64 (/.f64 1 (fma.f64 x (fma.f64 x 2 -2) 2)) 1))
(*.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) 1)
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 2 -2) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 2) (.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 1))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) (sqrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))
(.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) (.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 1))
(*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 2 -2) 2)) 2)
(.f64 (/.f64 2 (+.f64 (pow.f64 (.f64 x (fma.f64 x 2 -2)) 3) 8)) (+.f64 4 (.f64 (.f64 x (fma.f64 x 2 -2)) (-.f64 (*.f64 x (fma.f64 x 2 -2)) 2))))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (fma.f64 x 2 -2)) 2))) (-.f64 2 (*.f64 x (fma.f64 x 2 -2))))
(pow.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 3)
(pow.f64 (/.f64 8 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 2)
(pow.f64 (*.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 1/2) -1)
(neg.f64 (/.f64 -2 (fma.f64 x (fma.f64 x 2 -2) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2)))))
(cbrt.f64 (/.f64 8 (pow.f64 (fma.f64 x (fma.f64 x 2 -2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x (fma.f64 x 2 -2) 2))) 1))
(+.f64 (.f64 x (.f64 x 2)) (*.f64 x -2))
(+.f64 (.f64 (.f64 x 2) x) (*.f64 -2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 2 -2)))) 1)
(/.f64 (.f64 x (+.f64 (.f64 8 (pow.f64 x 3)) -8)) (+.f64 (pow.f64 (.f64 x 2) 2) (+.f64 4 (.f64 x 4))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x 2) 2) -4)) (fma.f64 x 2 2))
(/.f64 (.f64 (+.f64 (.f64 8 (pow.f64 x 3)) -8) x) (+.f64 (pow.f64 (.f64 x 2) 2) (+.f64 4 (.f64 x 4))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x 2) 2) -4) x) (fma.f64 x 2 2))
(pow.f64 (*.f64 x (fma.f64 x 2 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 2 -2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 2 -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 2 -2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 2 -2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 2 -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 2 -2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 2 -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 2 -2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 2 -2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 2 -2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 2 -2))) 1))
(-.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/27) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/27))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 2))) 1))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (.f64 (.f64 -1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3))) (.f64 x (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (-.f64 x (.f64 -1/3 (pow.f64 x 3))))
(/.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 (pow.f64 x 2) 3) -1/27))) (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/9) (.f64 1/3 (pow.f64 x 2)))))
(/.f64 (.f64 x (-.f64 1 (.f64 (pow.f64 x 4) 1/9))) (-.f64 1 (*.f64 -1/3 (pow.f64 x 2))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 x 2) 3) -1/27)) x) (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/9) (.f64 1/3 (pow.f64 x 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/9)) x) (-.f64 1 (*.f64 -1/3 (pow.f64 x 2))))
(pow.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 -1/3 (pow.f64 x 3)))) 1))
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 x 1 (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -17/315))) 1)
(pow.f64 (*.f64 (pow.f64 x 2) -17/315) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -17/315)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -4913/31255875) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -17/315)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 289/99225))
(log.f64 (pow.f64 (exp.f64 -17/315) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) -17/315))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -4913/31255875))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -17/315)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -17/315)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -17/315)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) -17/315)) 1))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15))) (*.f64 -1/3 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 2)))
(-.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) 1) 1)
(/.f64 (.f64 (pow.f64 x 2) (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 3) -1/27)) (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 2) (+.f64 1/9 (.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 1/3))))
(/.f64 (.f64 (pow.f64 x 2) (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 2) -1/9)) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) 1/3))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 3) -1/27) (pow.f64 x 2)) (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 2) (+.f64 1/9 (.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 2) -1/9) (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) 1/3))
(pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3))) 1))
(+.f64 (.f64 (pow.f64 x 2) 2/15) (.f64 -17/315 (pow.f64 x 4)))
(+.f64 (.f64 -17/315 (pow.f64 x 4)) (.f64 (pow.f64 x 2) 2/15))
(+.f64 (.f64 (.f64 (pow.f64 x 2) 2/15) 1) (.f64 (.f64 -17/315 (pow.f64 x 4)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 2) 2/15) 3) (pow.f64 (.f64 -17/315 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (pow.f64 x 2) 2/15) (.f64 (pow.f64 x 2) 2/15)) (-.f64 (.f64 (.f64 -17/315 (pow.f64 x 4)) (.f64 -17/315 (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 2) 2/15) (*.f64 -17/315 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 2) 2/15) (.f64 (pow.f64 x 2) 2/15)) (.f64 (.f64 -17/315 (pow.f64 x 4)) (.f64 -17/315 (pow.f64 x 4)))) (-.f64 (.f64 (pow.f64 x 2) 2/15) (.f64 -17/315 (pow.f64 x 4))))
(/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 (pow.f64 x 2) 3) -4913/31255875) 8/3375)) (+.f64 4/225 (-.f64 (.f64 (pow.f64 x 4) 289/99225) (.f64 -34/4725 (pow.f64 x 2)))))
(/.f64 (.f64 (pow.f64 x 2) (-.f64 4/225 (.f64 (pow.f64 x 4) 289/99225))) (+.f64 2/15 (*.f64 17/315 (pow.f64 x 2))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 2) 3) -4913/31255875) 8/3375) (pow.f64 x 2)) (+.f64 4/225 (-.f64 (.f64 (pow.f64 x 4) 289/99225) (.f64 -34/4725 (pow.f64 x 2)))))
(/.f64 (.f64 (-.f64 4/225 (.f64 (pow.f64 x 4) 289/99225)) (pow.f64 x 2)) (+.f64 2/15 (*.f64 17/315 (pow.f64 x 2))))
(pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 2) -17/315 2/15))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 x 2) -17/315 2/15)) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15))) 1))
(fma.f64 (pow.f64 x 2) 2/15 (*.f64 -17/315 (pow.f64 x 4)))
(fma.f64 2/15 (pow.f64 x 2) (*.f64 -17/315 (pow.f64 x 4)))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))
(+.f64 x (.f64 (.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)) 1))
(+.f64 (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3))))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)) (.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3))) (.f64 x (.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)) (.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))) (-.f64 x (.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3))))
(/.f64 (.f64 x (+.f64 1 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 3))) (+.f64 1 (-.f64 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 2) (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)))))
(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 2))) (-.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 3)) x) (+.f64 1 (-.f64 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 2) (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3)) 2)) x) (-.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3))))
(pow.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))) 1))
(fma.f64 1 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))
(fma.f64 x 1 (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -17/315 2/15) -1/3) (pow.f64 x 3)))

eval149.0ms (2.2%)

Compiler: Compiled 5581 to 4571 computations (18.1% saved)

prune51.0ms (0.8%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	328	6	334
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	330	13	343

Accuracy

100.0%

Counts

343 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
▶	52.8%	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
	28.6%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
✓	28.3%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
✓	53.5%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	6.9%	(-.f64 (+.f64 1 x) 1)
	6.9%	(+.f64 (+.f64 x -1) 1)
▶	51.3%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	16.7%	(*.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
✓	51.5%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2)))) 1/3))))
▶	52.9%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))
✓	53.1%	x
▶	26.1%	-1

Compiler

Compiled 244 to 201 computations (17.6% saved)

localize217.0ms (3.3%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3)
✓	99.9%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))
✓	99.8%	(*.f64 2/15 (pow.f64 x 2))
✓	99.8%	(.f64 (pow.f64 x 2) (-.f64 (.f64 2/15 (pow.f64 x 2)) 1/3))
✓	100.0%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	99.8%	(*.f64 -1/3 (pow.f64 x 3))
✓	100.0%	(*.f64 (+.f64 x 2) x)
✓	99.8%	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓	76.0%	(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
✓	100.0%	(*.f64 (+.f64 x 2) x)
✓	76.0%	(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))

Compiler

Compiled 131 to 98 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

Operation ival-pow, time spent: 31.0ms, 29.0% of total-time

Operation ival-mult, time spent: 29.0ms, 27.0% of total-time

Operation ival-add, time spent: 19.0ms, 18.0% of total-time

Operation ival-div, time spent: 13.0ms, 12.0% of total-time

Operation ival-sub, time spent: 7.0ms, 7.0% of total-time

Operation const, time spent: 7.0ms, 7.0% of total-time

series25.0ms (0.4%)

Counts

11 → 100

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
2.0ms	x	@	0	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))
1.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	inf	(.f64 (pow.f64 x 2) (-.f64 (.f64 2/15 (pow.f64 x 2)) 1/3))
1.0ms	x	@	0	(.f64 (pow.f64 x 2) (-.f64 (.f64 2/15 (pow.f64 x 2)) 1/3))

rewrite208.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1151×	`log1p-expm1-u`
498×	`expm1-log1p-u`
298×	`associate-r`
218×	`associate-l`
158×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	292
1	397	202
2	5506	202

Stop Event

1×	node limit

Counts

11 → 361

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (+.f64 x 2) x)
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (+.f64 x 2) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 (pow.f64 x 2) (-.f64 (.f64 2/15 (pow.f64 x 2)) 1/3))
(*.f64 2/15 (pow.f64 x 2))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))
(-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3)

Outputs
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))
(.f64 (.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))
(*.f64 1 x)
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (/.f64 1 (+.f64 x 2))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(.f64 (sqrt.f64 (+.f64 x 2)) (.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (/.f64 1 (+.f64 x 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1))
(.f64 (.f64 x (+.f64 (neg.f64 x) -2)) (/.f64 1 (+.f64 (neg.f64 x) -2)))
(.f64 (/.f64 1 (+.f64 x 2)) (.f64 x (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) -1))
(*.f64 (/.f64 x (+.f64 x 2)) (+.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 x 1) 1)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))
(*.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (+.f64 (neg.f64 x) -2)) (.f64 x (+.f64 (neg.f64 x) -2)))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (.f64 x (+.f64 x 2))))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (.f64 x (+.f64 x 2)))) (sqrt.f64 (.f64 x (+.f64 x 2))))
(.f64 (/.f64 (.f64 x (+.f64 x 2)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(.f64 (/.f64 (.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(neg.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (neg.f64 x) -2)))
(neg.f64 (/.f64 -1 (/.f64 1 x)))
(neg.f64 (/.f64 (*.f64 x (+.f64 (neg.f64 x) -2)) (+.f64 x 2)))
(sqrt.f64 (pow.f64 x 2))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 x) 1))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 8) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (.f64 x (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 (+.f64 x 2) (/.f64 (/.f64 1 x) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (/.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) 1))
(*.f64 (/.f64 1 x) 1)
(*.f64 1 (/.f64 1 x))
(*.f64 -1 (/.f64 -1 x))
(*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 (/.f64 1 (cbrt.f64 x)) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (/.f64 (cbrt.f64 (+.f64 x 2)) (.f64 x (+.f64 x 2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 x)) 1))
(.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (.f64 x (+.f64 x 2))))
(.f64 (sqrt.f64 (+.f64 x 2)) (.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (.f64 x (+.f64 (neg.f64 x) -2))))
(*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (.f64 x (+.f64 x 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(.f64 (/.f64 1 (.f64 x (+.f64 (neg.f64 x) -2))) (+.f64 (neg.f64 x) -2))
(pow.f64 x -1)
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(neg.f64 (/.f64 -1 x))
(sqrt.f64 (/.f64 1 (pow.f64 x 2)))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))
(.f64 (.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))
(*.f64 1 x)
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (/.f64 1 (+.f64 x 2))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(.f64 (sqrt.f64 (+.f64 x 2)) (.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (/.f64 1 (+.f64 x 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1))
(.f64 (.f64 x (+.f64 (neg.f64 x) -2)) (/.f64 1 (+.f64 (neg.f64 x) -2)))
(.f64 (/.f64 1 (+.f64 x 2)) (.f64 x (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) -1))
(*.f64 (/.f64 x (+.f64 x 2)) (+.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 x 1) 1)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))
(*.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (+.f64 (neg.f64 x) -2)) (.f64 x (+.f64 (neg.f64 x) -2)))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (.f64 x (+.f64 x 2))))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (.f64 x (+.f64 x 2)))) (sqrt.f64 (.f64 x (+.f64 x 2))))
(.f64 (/.f64 (.f64 x (+.f64 x 2)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(.f64 (/.f64 (.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(neg.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (neg.f64 x) -2)))
(neg.f64 (/.f64 -1 (/.f64 1 x)))
(neg.f64 (/.f64 (*.f64 x (+.f64 (neg.f64 x) -2)) (+.f64 x 2)))
(sqrt.f64 (pow.f64 x 2))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 x) 1))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 8) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (.f64 x (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 4)))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 4))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 -1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2))) (neg.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (.f64 -1/3 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) 2/15)) (*.f64 (pow.f64 x 2) -1/3))
(+.f64 (.f64 (.f64 (pow.f64 x 2) 2/15) (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 2)))
(-.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3) 1) 1)
(/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 6) 8/3375) -1/27)) (+.f64 (.f64 (pow.f64 x 4) 4/225) (+.f64 1/9 (.f64 (pow.f64 x 2) 2/45))))
(/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 4/225) -1/9)) (fma.f64 (pow.f64 x 2) 2/15 1/3))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) 8/3375) -1/27) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 4/225) (+.f64 1/9 (.f64 (pow.f64 x 2) 2/45))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 4/225) -1/9) (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) 2/15 1/3))
(pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 3)) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) 2/15))) 1)
(pow.f64 (*.f64 (pow.f64 x 2) 2/15) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 2/15)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 8/3375) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 2/15)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4/225))
(log.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) 2/15))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 8/3375))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) 2/15)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) 2/15)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) 2/15)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) 2/15)) 1))
(+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(+.f64 x (.f64 (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 1))
(+.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3))))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3))) (.f64 x (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3))))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))) (-.f64 x (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3))))
(/.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 3)))) (+.f64 1 (.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 1))))
(/.f64 (.f64 x (-.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 2)))) (-.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 3))) x) (+.f64 1 (.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 1))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 2))) x) (-.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3))))
(pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3))) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/15 -1/3) 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))) 1))
(fma.f64 x 1 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(fma.f64 1 x (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(+.f64 -1/3 (*.f64 (pow.f64 x 2) 2/15))
(+.f64 (*.f64 (pow.f64 x 2) 2/15) -1/3)
(*.f64 1 (fma.f64 (pow.f64 x 2) 2/15 -1/3))
(*.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)) (sqrt.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 8/3375) -1/27) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 4/225) (+.f64 1/9 (.f64 (pow.f64 x 2) 2/45)))))
(.f64 (+.f64 (.f64 (pow.f64 x 4) 4/225) -1/9) (/.f64 1 (fma.f64 (pow.f64 x 2) 2/15 1/3)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 4/225) (+.f64 1/9 (.f64 (pow.f64 x 2) 2/45))) (+.f64 (*.f64 (pow.f64 x 6) 8/3375) -1/27)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 2/15 1/3) (+.f64 (*.f64 (pow.f64 x 4) 4/225) -1/9)))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 8/3375) -1/27) (+.f64 (.f64 (pow.f64 x 4) 4/225) (+.f64 1/9 (*.f64 (pow.f64 x 2) 2/45))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 8/3375) -1/27) (+.f64 (.f64 (pow.f64 x 4) 4/225) (-.f64 1/9 (.f64 (.f64 (pow.f64 x 2) 2/15) -1/3))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 4/225) -1/9) (fma.f64 (pow.f64 x 2) 2/15 1/3))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 4/225) -1/9) (-.f64 (.f64 (pow.f64 x 2) 2/15) -1/3))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 8/3375) -1/27)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 4/225) (+.f64 1/9 (*.f64 (pow.f64 x 2) 2/45)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 4/225) -1/9)) (neg.f64 (fma.f64 (pow.f64 x 2) 2/15 1/3)))
(pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 2) 2/15 -1/3)) 1))
(fma.f64 1 (*.f64 (pow.f64 x 2) 2/15) -1/3)
(fma.f64 (pow.f64 x 2) 2/15 -1/3)
(fma.f64 2/15 (pow.f64 x 2) -1/3)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/225)) (cbrt.f64 (.f64 (pow.f64 x 2) 2/15)) -1/3)
(fma.f64 (.f64 x (sqrt.f64 2/15)) (.f64 x (sqrt.f64 2/15)) -1/3)

eval182.0ms (2.7%)

Compiler: Compiled 6909 to 5308 computations (23.2% saved)

prune60.0ms (0.9%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	524	3	527
Fresh	0	3	3
Picked	2	3	5
Done	0	5	5
Total	526	14	540

Accuracy

100.0%

Counts

540 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(/.f64 (*.f64 2 x) (+.f64 x 2))
▶	54.8%	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 2 x)))
▶	52.9%	(/.f64 1 (/.f64 1 x))
▶	28.6%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
✓	28.3%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
✓	53.5%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	6.9%	(-.f64 (+.f64 1 x) 1)
▶	6.9%	(+.f64 (+.f64 x -1) 1)
✓	51.3%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	16.7%	(*.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
✓	51.5%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2)))) 1/3))))
✓	52.9%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))
✓	53.1%	x
✓	26.1%	-1

Compiler

Compiled 221 to 185 computations (16.3% saved)

localize362.0ms (5.4%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2))
✓	99.7%	(/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2))))
✓	99.5%	(*.f64 -4/3 x)
✓	53.5%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
✓	100.0%	(/.f64 (+.f64 x 2) (*.f64 2 x))
✓	99.8%	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 2 x)))
✓	99.8%	(/.f64 1 (/.f64 1 x))
✓	53.5%	(+.f64 (+.f64 x -1) 1)
✓	100.0%	(/.f64 (*.f64 2 x) (+.f64 x 2))

Compiler

Compiled 148 to 111 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

Operation ival-mult, time spent: 71.0ms, 38.0% of total-time

Operation ival-add, time spent: 48.0ms, 26.0% of total-time

Operation ival-div, time spent: 35.0ms, 19.0% of total-time

Operation ival-sub, time spent: 18.0ms, 10.0% of total-time

Operation const, time spent: 12.0ms, 6.0% of total-time

series27.0ms (0.4%)

Counts

9 → 94

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/.f64 (*.f64 2 x) (+.f64 x 2))
3.0ms	x	@	0	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
2.0ms	x	@	0	(*.f64 -4/3 x)
1.0ms	x	@	-inf	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
1.0ms	x	@	-inf	(.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2))

rewrite235.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`prod-diff`
300×	`associate-r`
244×	`frac-times`
210×	`log1p-expm1-u`
210×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	243
1	490	211
2	7121	211

Stop Event

1×	node limit

Counts

9 → 366

Calls

Call 1

Inputs
(/.f64 (*.f64 2 x) (+.f64 x 2))
(+.f64 (+.f64 x -1) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 2 x)))
(/.f64 (+.f64 x 2) (*.f64 2 x))
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
(*.f64 -4/3 x)
(/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2))))
(.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2))

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

eval166.0ms (2.5%)

Compiler: Compiled 6159 to 4922 computations (20.1% saved)

prune57.0ms (0.9%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	456	4	460
Fresh	0	1	1
Picked	3	2	5
Done	0	8	8
Total	459	15	474

Accuracy

100.0%

Counts

474 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(/.f64 1 (+.f64 1/2 (/.f64 1 x)))
✓	28.6%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
✓	28.3%	(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
✓	53.5%	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	6.9%	(-.f64 (+.f64 1 x) 1)
	5.9%	(-.f64 2 (*.f64 4 (/.f64 1 x)))
✓	6.9%	(+.f64 (+.f64 x -1) 1)
✓	51.3%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	16.7%	(*.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
	54.9%	(*.f64 x (/.f64 2 (+.f64 2 x)))
✓	51.5%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2)))) 1/3))))
✓	52.9%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))
✓	53.1%	x
	7.1%	2
✓	26.1%	-1

Compiler

Compiled 347 to 285 computations (17.9% saved)

regimes277.0ms (4.2%)

Counts

22 → 3

Calls

Call 1

Inputs
-1
2
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (/.f64 2 (+.f64 2 x)))
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(/.f64 1 (+.f64 1/2 (/.f64 1 x)))
(/.f64 (*.f64 2 x) (+.f64 x 2))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 2 x)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 x (+.f64 1 (.f64 -1/3 (pow.f64 x 2))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(*.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2)))) 1/3))))

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 2/15 (.f64 -17/315 (pow.f64 x 2)))) 1/3))))
-1

Calls

7 calls:

176.0ms	y
36.0ms	x
34.0ms	(*.f64 -2 x)
10.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
8.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
73.2%	16	`y`
100.0%	3	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
100.0%	3	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
100.0%	3	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
100.0%	3	`(exp.f64 (*.f64 -2 x))`
100.0%	3	`(*.f64 -2 x)`

Compiler

Compiled 47 to 40 computations (14.9% saved)

regimes93.0ms (1.4%)

Counts

21 → 3

Calls

Call 1

Inputs
-1
2
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (/.f64 2 (+.f64 2 x)))
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(/.f64 1 (+.f64 1/2 (/.f64 1 x)))
(/.f64 (*.f64 2 x) (+.f64 x 2))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 2 x)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 x (+.f64 1 (.f64 -1/3 (pow.f64 x 2))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(*.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2/15 (pow.f64 x 2)) 1/3))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Calls

6 calls:

33.0ms	(*.f64 -2 x)
32.0ms	x
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
7.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
100.0%	3	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
100.0%	3	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
100.0%	3	`(exp.f64 (*.f64 -2 x))`
100.0%	3	`(*.f64 -2 x)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes90.0ms (1.4%)

Counts

20 → 3

Calls

Call 1

Inputs
-1
2
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (/.f64 2 (+.f64 2 x)))
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(/.f64 1 (+.f64 1/2 (/.f64 1 x)))
(/.f64 (*.f64 2 x) (+.f64 x 2))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 2 x)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 x (+.f64 1 (.f64 -1/3 (pow.f64 x 2))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(*.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 x 2)) 1/3))

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Calls

6 calls:

31.0ms	x
31.0ms	(*.f64 -2 x)
7.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(exp.f64 (*.f64 -2 x))
6.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
99.9%	3	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
99.9%	3	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
99.9%	3	`(exp.f64 (*.f64 -2 x))`
99.9%	3	`(*.f64 -2 x)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes42.0ms (0.6%)

Counts

18 → 2

Calls

Call 1

Inputs
-1
2
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (/.f64 2 (+.f64 2 x)))
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(/.f64 1 (+.f64 1/2 (/.f64 1 x)))
(/.f64 (*.f64 2 x) (+.f64 x 2))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 2 x)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 x (+.f64 1 (.f64 -1/3 (pow.f64 x 2))))

Outputs
(/.f64 (*.f64 2 x) (+.f64 x 2))
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 x (+.f64 2 (*.f64 -4/3 x))) 2)))) 1)

Calls

2 calls:

21.0ms	x
20.0ms	(*.f64 -2 x)

Results

Accuracy	Segments	Branch
78.5%	2	`x`
78.5%	2	`(*.f64 -2 x)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes37.0ms (0.6%)

Counts

15 → 2

Calls

Call 1

Inputs
-1
2
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (/.f64 2 (+.f64 2 x)))
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(/.f64 1 (+.f64 1/2 (/.f64 1 x)))
(/.f64 (*.f64 2 x) (+.f64 x 2))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 2 x)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (/.f64 2 (+.f64 2 (.f64 x (-.f64 (.f64 2 x) 2)))) 1)

Outputs
-1
(/.f64 (*.f64 2 x) (+.f64 x 2))

Calls

2 calls:

18.0ms	(*.f64 -2 x)
18.0ms	x

Results

Accuracy	Segments	Branch
78.4%	2	`x`
78.4%	2	`(*.f64 -2 x)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
-1
2
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (/.f64 2 (+.f64 2 x)))
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(/.f64 1 (+.f64 1/2 (/.f64 1 x)))

Outputs
-1
(*.f64 x (/.f64 2 (+.f64 2 x)))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
78.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
-1
2
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))

Outputs
-1
x
2

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
79.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
-1
2

Outputs
-1
2

Calls

2 calls:

7.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
26.1%	1	`y`
31.2%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
26.1%	1	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.026177471890539532	120795.76186027807
0.0ms	-332765.703979903	-0.0024385690833966054

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3514888780616912e-7	0.026177471890539532
0.0ms	-332765.703979903	-0.0024385690833966054

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3514888780616912e-7	0.026177471890539532
0.0ms	-0.0024385690833966054	-0.000478757900303277

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.020786828037005e-13	1.3514888780616912e-7

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-60397.880930139036	-0.013088735945269766

Results

19.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 143 to 123 computations (14% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-exp, time spent: 2.0ms, 31.0% of total-time

Operation ival-div, time spent: 1.0ms, 15.0% of total-time

Operation ival-sub, time spent: 1.0ms, 15.0% of total-time

Operation ival-add, time spent: 1.0ms, 15.0% of total-time

Operation ival-mult, time spent: 1.0ms, 15.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch28.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-60397.880930139036	-0.013088735945269766

Results

24.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 143 to 123 computations (14% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-exp, time spent: 2.0ms, 31.0% of total-time

Operation ival-div, time spent: 1.0ms, 16.0% of total-time

Operation ival-sub, time spent: 1.0ms, 16.0% of total-time

Operation ival-add, time spent: 1.0ms, 16.0% of total-time

Operation ival-mult, time spent: 1.0ms, 16.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.0012192845416983027	166382.8519899515
23.0ms	-60397.880930139036	-0.013088735945269766

Results

39.0ms	287×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 161 to 141 computations (12.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-sub, time spent: 4.0ms, 25.0% of total-time

Operation ival-exp, time spent: 4.0ms, 25.0% of total-time

Operation ival-add, time spent: 3.0ms, 19.0% of total-time

Operation ival-div, time spent: 2.0ms, 12.0% of total-time

Operation ival-mult, time spent: 2.0ms, 12.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

bsearch73.0ms (1.1%)

Algorithm

1×	binary-search

Stop Event

1×	fuel
1×	narrow-enough

Steps

Time	Left	Right
68.0ms	-1.0984777053898295e-303	2.2869317736807077e-307

Results

58.0ms	143×	2048	valid
0.0ms	1×	2048	valid

Compiler

Compiled 309 to 271 computations (12.3% saved)

Precisions

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

Operation ival-exp, time spent: 16.0ms, 47.0% of total-time

Operation ival-div, time spent: 5.0ms, 15.0% of total-time

Operation ival-add, time spent: 5.0ms, 15.0% of total-time

Operation ival-mult, time spent: 4.0ms, 12.0% of total-time

Operation ival-sub, time spent: 3.0ms, 9.0% of total-time

Operation const, time spent: 2.0ms, 6.0% of total-time

soundness293.0ms (4.4%)

Rules

1956×	`prod-diff`
432×	`associate-r`
300×	`associate-r`
298×	`associate-l`
253×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	332
1	543	288
0	26	243
1	490	211
2	7121	211

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 287 to 220 computations (23.3% saved)

end0.0ms (0%)

preprocess142.0ms (2.1%)

Remove: (abs y)
Compiler: Compiled 616 to 514 computations (16.6% saved)

Iter	Nodes	Cost
0	29	240
1	56	232
2	98	224
3	148	224
4	189	224
5	251	224
6	314	224
7	365	224
8	433	224
9	524	224
10	586	224
11	606	224
12	647	224
13	676	224
14	684	224
15	706	224

Iter	Nodes	Cost
0	29	240
1	56	232
2	98	224
3	148	224
4	189	224
5	251	224
6	314	224
7	365	224
8	433	224
9	524	224
10	586	224
11	606	224
12	647	224
13	676	224
14	684	224
15	706	224

analyze0.0ms (0%)

sample1.9s (27.8%)

preprocess711.0ms (10.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize144.0ms (2.2%)

series9.0ms (0.1%)

rewrite229.0ms (3.4%)

eval110.0ms (1.7%)

prune37.0ms (0.6%)

localize498.0ms (7.5%)

series27.0ms (0.4%)

rewrite112.0ms (1.7%)

eval149.0ms (2.2%)

prune51.0ms (0.8%)

localize217.0ms (3.3%)

series25.0ms (0.4%)

rewrite208.0ms (3.1%)

eval182.0ms (2.7%)

prune60.0ms (0.9%)

localize362.0ms (5.4%)

series27.0ms (0.4%)

rewrite235.0ms (3.5%)

eval166.0ms (2.5%)

prune57.0ms (0.9%)

regimes277.0ms (4.2%)

regimes93.0ms (1.4%)

regimes90.0ms (1.4%)

regimes42.0ms (0.6%)

regimes37.0ms (0.6%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes10.0ms (0.2%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.3%)

bsearch28.0ms (0.4%)

bsearch45.0ms (0.7%)

bsearch73.0ms (1.1%)

soundness293.0ms (4.4%)

end0.0ms (0%)

preprocess142.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	29	240
1	56	232
2	98	224
3	148	224
4	189	224
5	251	224
6	314	224
7	365	224
8	433	224
9	524	224
10	586	224
11	606	224
12	647	224
13	676	224
14	684	224
15	706	224