Metrics for Logistic regression 2

analyze100.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

Operation ival-log, time spent: 17.0ms, 37.0% of total-time

Operation ival-exp, time spent: 7.0ms, 15.0% of total-time

Operation ival-add, time spent: 7.0ms, 15.0% of total-time

Operation ival-mult, time spent: 7.0ms, 15.0% of total-time

Operation ival-sub, time spent: 6.0ms, 13.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

sample3.9s (46.5%)

Results

1.1s	7187×	256	valid
2.3s	2625×	8192	exit
118.0ms	671×	256	infinite
72.0ms	229×	512	valid
87.0ms	166×	1024	valid
2.0ms	2×	2048	valid
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 2.4s

Operation ival-log, time spent: 1.5s, 65.0% of total-time

Operation ival-exp, time spent: 270.0ms, 11.0% of total-time

Operation ival-mult, time spent: 203.0ms, 9.0% of total-time

Operation ival-add, time spent: 168.0ms, 7.0% of total-time

Operation ival-sub, time spent: 163.0ms, 7.0% of total-time

Operation const, time spent: 39.0ms, 2.0% of total-time

Bogosity

preprocess501.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

376×	`fma-define`
294×	`fma-neg`
88×	`cancel-sign-sub-inv`
72×	`sub-neg`
68×	`unsub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(log.f64 (+.f64 1 (exp.f64 x)))`
0	-	-	`x`
0	-	-	`(*.f64 x y)`
0	-	-	`(+.f64 1 (exp.f64 x))`
0	-	-	`(exp.f64 x)`
0	-	-	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`
0	-	-	`y`
0	-	-	`1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))

Compiler

Compiled 69 to 38 computations (44.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

Operation ival-log, time spent: 252.0ms, 82.0% of total-time

Operation ival-add, time spent: 19.0ms, 6.0% of total-time

Operation ival-sub, time spent: 14.0ms, 5.0% of total-time

Operation ival-exp, time spent: 11.0ms, 4.0% of total-time

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

Operation const, time spent: 4.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize155.0ms (1.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (exp.f64 x))
✓	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	100.0%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 36 to 9 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

Operation composed, time spent: 77.0ms, 46.0% of total-time

Operation ival-log, time spent: 61.0ms, 37.0% of total-time

Operation ival-mult, time spent: 8.0ms, 5.0% of total-time

Operation ival-add, time spent: 8.0ms, 5.0% of total-time

Operation ival-exp, time spent: 5.0ms, 3.0% of total-time

Operation ival-sub, time spent: 3.0ms, 2.0% of total-time

Operation ival-neg, time spent: 3.0ms, 2.0% of total-time

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

series74.0ms (0.9%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
21.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
6.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
5.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
3.0ms	x	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite273.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`prod-diff`
686×	`log-prod`
636×	`log1p-expm1-u`
636×	`expm1-log1p-u`
474×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	181	76
2	2466	76

Stop Event

1×	node limit

Counts

4 → 361

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))

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

eval183.0ms (2.2%)

Compiler: Compiled 10062 to 3294 computations (67.3% saved)

prune45.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	501	6	507
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	502	7	509

Accuracy

100.0%

Counts

509 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.7%	(-.f64 (log.f64 2) (*.f64 x y))
	75.8%	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
▶	82.7%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	99.6%	(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
▶	55.6%	(.f64 -1 (.f64 x y))
▶	44.7%	(log.f64 2)

Compiler

Compiled 121 to 92 computations (24% saved)

localize615.0ms (7.3%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y)
✓	99.9%	(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
✓	99.8%	(/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)
✓	99.6%	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 94 to 53 computations (43.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 467.0ms

Operation ival-log, time spent: 365.0ms, 78.0% of total-time

Operation ival-sub, time spent: 30.0ms, 6.0% of total-time

Operation ival-div, time spent: 23.0ms, 5.0% of total-time

Operation ival-mult, time spent: 19.0ms, 4.0% of total-time

Operation ival-add, time spent: 18.0ms, 4.0% of total-time

Operation const, time spent: 7.0ms, 1.0% of total-time

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

series55.0ms (0.7%)

Counts

7 → 107

Calls

36 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	(/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)
6.0ms	x	@	-inf	(/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)
3.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
3.0ms	x	@	inf	(*.f64 x (-.f64 1/2 y))
2.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))

rewrite203.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`log1p-expm1-u`
685×	`expm1-log1p-u`
268×	`associate-r`
160×	`add-exp-log`
160×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	173
1	347	169
2	5106	169

Stop Event

1×	node limit

Counts

7 → 210

Calls

Call 1

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

Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (exp.f64 x)) x))) 1)
(*.f64 1 (/.f64 (log1p.f64 (exp.f64 x)) x))
(*.f64 (log1p.f64 (exp.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) x))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) 2) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) x))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (log1p.f64 (exp.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) 2)
(pow.f64 (/.f64 x (log1p.f64 (exp.f64 x))) -1)
(neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) x))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (exp.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) 1))
(+.f64 (.f64 x (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 (.f64 x y)))
(+.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) x) (neg.f64 (.f64 x y)))
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eval94.0ms (1.1%)

Compiler: Compiled 4362 to 2403 computations (44.9% saved)

prune50.0ms (0.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	314	3	317
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	315	9	324

Accuracy

100.0%

Counts

324 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.7%	(-.f64 (log.f64 2) (*.f64 x y))
▶	75.8%	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
✓	82.7%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	44.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	90.7%	(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
▶	38.8%	(*.f64 x (-.f64 1/2 y))
✓	55.6%	(.f64 -1 (.f64 x y))
✓	44.7%	(log.f64 2)

Compiler

Compiled 77 to 59 computations (23.4% saved)

localize243.0ms (2.9%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
✓	100.0%	(.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	100.0%	(-.f64 (/.f64 (log.f64 2) x) y)
✓	99.9%	(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
✓	99.7%	(/.f64 (log.f64 2) x)
✓	100.0%	(*.f64 x (-.f64 1/2 y))

Compiler

Compiled 94 to 66 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

Operation ival-add, time spent: 64.0ms, 42.0% of total-time

Operation ival-log, time spent: 42.0ms, 28.0% of total-time

Operation ival-mult, time spent: 21.0ms, 14.0% of total-time

Operation ival-div, time spent: 10.0ms, 7.0% of total-time

Operation ival-sub, time spent: 10.0ms, 7.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

series72.0ms (0.9%)

Counts

7 → 106

Calls

36 calls:

Time	Variable		Point	Expression
38.0ms	x	@	0	(/.f64 (log.f64 2) x)
5.0ms	y	@	0	(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
5.0ms	x	@	inf	(/.f64 (log.f64 2) x)
1.0ms	x	@	inf	(.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y))
1.0ms	x	@	-inf	(.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y))

rewrite197.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`log1p-expm1-u`
312×	`associate-r`
184×	`expm1-log1p-u`
182×	`add-cube-cbrt`
182×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	186
1	375	170
2	5942	170

Stop Event

1×	node limit

Counts

7 → 210

Calls

Call 1

Inputs
(*.f64 x (-.f64 1/2 y))
(/.f64 (log.f64 2) x)
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(-.f64 (/.f64 (log.f64 2) x) y)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))

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

eval129.0ms (1.5%)

Compiler: Compiled 4347 to 3220 computations (25.9% saved)

prune50.0ms (0.6%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	312	4	316
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	313	12	325

Accuracy

100.0%

Counts

325 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.7%	(-.f64 (log.f64 2) (*.f64 x y))
▶	38.8%	(+.f64 (.f64 x 1/2) (.f64 (neg.f64 y) x))
✓	82.7%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.0%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	44.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	38.8%	(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
✓	90.7%	(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
✓	38.8%	(*.f64 x (-.f64 1/2 y))
▶	3.3%	(*.f64 1/2 x)
✓	55.6%	(.f64 -1 (.f64 x y))
✓	44.7%	(log.f64 2)

Compiler

Compiled 103 to 78 computations (24.3% saved)

localize149.0ms (1.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x 1/2) (.f64 (neg.f64 y) x))
✓	100.0%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
✓	100.0%	(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 x y)))
✓	100.0%	(*.f64 1/2 (/.f64 x y))
✓	92.2%	(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))

Compiler

Compiled 94 to 56 computations (40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

Operation ival-mult, time spent: 35.0ms, 56.0% of total-time

Operation ival-log, time spent: 12.0ms, 19.0% of total-time

Operation ival-add, time spent: 9.0ms, 14.0% of total-time

Operation const, time spent: 4.0ms, 6.0% of total-time

Operation ival-div, time spent: 2.0ms, 3.0% of total-time

Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

series27.0ms (0.3%)

Counts

6 → 82

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
2.0ms	x	@	0	(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
1.0ms	x	@	inf	(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
1.0ms	y	@	-inf	(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
1.0ms	y	@	0	(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))

rewrite511.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`log1p-expm1-u`
400×	`associate-r`
248×	`associate-l`
184×	`expm1-log1p-u`
178×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	176
1	397	143
2	6464	143

Stop Event

1×	node limit

Counts

6 → 213

Calls

Call 1

Inputs
(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 x y)))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (.f64 x 1/2) (.f64 (neg.f64 y) x))

Outputs
(+.f64 (.f64 y x) (.f64 y (*.f64 x (/.f64 1/2 y))))
(+.f64 (.f64 y x) (.f64 (.f64 y (.f64 x (/.f64 1/2 y))) 1))
(+.f64 (.f64 y (.f64 x (/.f64 1/2 y))) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y (.f64 x (/.f64 1/2 y))) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 (.f64 y (.f64 x (/.f64 1/2 y))) (.f64 y (.f64 x (/.f64 1/2 y)))) (.f64 (.f64 y x) (.f64 y (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y (.f64 x (/.f64 1/2 y))) (.f64 y (.f64 x (/.f64 1/2 y))))) (-.f64 (.f64 y x) (.f64 y (*.f64 x (/.f64 1/2 y)))))
(/.f64 (.f64 y (+.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 x (/.f64 1/2 y)) (fma.f64 1/2 (/.f64 x y) x))))
(/.f64 (*.f64 y (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 2)) (fma.f64 1/2 (/.f64 x y) x))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3)) y) (fma.f64 x x (.f64 (.f64 x (/.f64 1/2 y)) (fma.f64 1/2 (/.f64 x y) x))))
(/.f64 (*.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 2) y) (fma.f64 1/2 (/.f64 x y) x))
(pow.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x))) 3)
(pow.f64 (pow.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 1/2 (/.f64 x y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 1/2 (/.f64 x y) x))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 1/2 (/.f64 x y) x))) 1))
(fma.f64 y x (.f64 y (.f64 x (/.f64 1/2 y))))
(fma.f64 x y (.f64 y (.f64 x (/.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 1/2 (/.f64 y x))
(/.f64 (*.f64 x 1/2) y)
(/.f64 1 (/.f64 y (*.f64 x 1/2)))
(/.f64 (neg.f64 (*.f64 x 1/2)) y)
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) 1) y)
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (*.f64 x (/.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 1/2 y))) 1))
(-.f64 x (*.f64 x (/.f64 1/2 y)))
(-.f64 (*.f64 x (/.f64 1/2 y)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (fma.f64 1/2 (/.f64 x y) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2) (fma.f64 1/2 (/.f64 x y) x)))
(*.f64 (fma.f64 1/2 (/.f64 x y) x) 1)
(*.f64 1 (fma.f64 1/2 (/.f64 x y) x))
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) x)) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) x)))
(*.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 2) (/.f64 1 (fma.f64 1/2 (/.f64 x y) x)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) x)) (sqrt.f64 (fma.f64 1/2 (/.f64 x y) x)))
(.f64 (+.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 x (/.f64 1/2 y)) (fma.f64 1/2 (/.f64 x y) x)))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (/.f64 1/2 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 x (/.f64 1/2 y)) (fma.f64 1/2 (/.f64 x y) x))) (+.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) x) (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 2)))
(/.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 2) (fma.f64 1/2 (/.f64 x y) x))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (*.f64 x (/.f64 1/2 y)) (fma.f64 1/2 (/.f64 x y) x))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 2) (-.f64 (pow.f64 x 2) (.f64 x (.f64 x (/.f64 1/2 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (*.f64 x (/.f64 1/2 y)) (fma.f64 1/2 (/.f64 x y) x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 2)) (neg.f64 (fma.f64 1/2 (/.f64 x y) x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x (/.f64 1/2 y)) 3)) (fma.f64 x x (.f64 (*.f64 x (/.f64 1/2 y)) (fma.f64 1/2 (/.f64 x y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2) (pow.f64 x 2)) (fma.f64 1/2 (/.f64 x y) x))
(pow.f64 (fma.f64 1/2 (/.f64 x y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 x y) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 1/2) (/.f64 x y))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) x)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 x y) x)))
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) x)) 1))
(fma.f64 -1 x (*.f64 x (/.f64 1/2 y)))
(fma.f64 -1 x (neg.f64 (*.f64 x (/.f64 1/2 y))))
(fma.f64 x -1 (*.f64 x (/.f64 1/2 y)))
(fma.f64 x -1 (neg.f64 (*.f64 x (/.f64 1/2 y))))
(fma.f64 1/2 (/.f64 x y) x)
(fma.f64 (/.f64 x y) 1/2 x)
(fma.f64 1 x (*.f64 x (/.f64 1/2 y)))
(fma.f64 1 x (neg.f64 (*.f64 x (/.f64 1/2 y))))
(fma.f64 1 (*.f64 x (/.f64 1/2 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (/.f64 1/2 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 x (/.f64 1/2 y))))
(fma.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (.f64 x (/.f64 1/2 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 1/2 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 x (/.f64 1/2 y))))
(+.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 (*.f64 1/8 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (.f64 1/8 (pow.f64 x 2)) 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 1/8 (.f64 (pow.f64 x 3) 1/512))) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 1/16 x))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/64))) (fma.f64 x 1/8 1/2))
(/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/512)) x) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 1/16 x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/64)) x) (fma.f64 x 1/8 1/2))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/8 1/2))) 1))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(-.f64 (-.f64 (log.f64 2) (.f64 x 1/2)) (.f64 1/8 (pow.f64 x 2)))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (/.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x (fma.f64 x 1/8 1/2)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3))))
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2)))
(/.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3)) (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 (log.f64 2) x) (fma.f64 x 1/8 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2)) (neg.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (.f64 (.f64 (log.f64 2) x) (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x)))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(fma.f64 (fma.f64 x 1/8 1/2) x (log.f64 2))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (log.f64 2) (neg.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(-.f64 (.f64 x 1/2) (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x (+.f64 1/2 y))) (/.f64 (pow.f64 (.f64 y x) 2) (.f64 x (+.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(.f64 1 (.f64 x (+.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))))
(.f64 (+.f64 (pow.f64 (.f64 y x) 3) (.f64 1/8 (pow.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (.f64 1/2 (*.f64 y x))))))
(.f64 (.f64 x (+.f64 1/2 y)) 1)
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 y x))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 y x))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (.f64 1/2 (.f64 y x)))) (+.f64 (pow.f64 (.f64 y x) 3) (.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (.f64 x (+.f64 1/2 y)) (pow.f64 (.f64 x (+.f64 1/2 y)) 2)))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (+.f64 1/2 y)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (.f64 1/8 (pow.f64 x 3))) (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (.f64 1/2 (.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x (.f64 1/2 (*.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) 3) (.f64 1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (.f64 1/2 (.f64 y x))))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (neg.f64 (.f64 x (+.f64 1/2 y))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (.f64 y x) 3)) (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (.f64 1/2 (.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (pow.f64 x 2) 1/4)) (-.f64 (.f64 y x) (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 x (+.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 y) x)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 1))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 y x))
(fma.f64 1/2 x (*.f64 y x))
(fma.f64 1 (.f64 x 1/2) (.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 y x))

eval102.0ms (1.2%)

Compiler: Compiled 4008 to 2762 computations (31.1% saved)

prune50.0ms (0.6%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	287	8	295
Fresh	0	0	0
Picked	2	2	4
Done	0	8	8
Total	289	18	307

Accuracy

100.0%

Counts

307 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.8%	(-.f64 (.f64 x 1/2) (.f64 y x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.7%	(-.f64 (log.f64 2) (*.f64 x y))
✓	82.7%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	49.0%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	44.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	38.8%	(.f64 y (-.f64 (.f64 x (/.f64 1/2 y)) x))
	2.7%	(.f64 y (-.f64 x (.f64 x (/.f64 1/2 y))))
	39.0%	(.f64 y (+.f64 (.f64 -1 x) (/.f64 (neg.f64 (*.f64 x 1/2)) y)))
	38.8%	(.f64 y (+.f64 (.f64 -1 x) (/.f64 1/2 (/.f64 y x))))
	3.3%	(.f64 y (.f64 1/2 (/.f64 x y)))
✓	90.7%	(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
✓	38.8%	(*.f64 x (-.f64 1/2 y))
	2.5%	(*.f64 x (+.f64 y 1/2))
	38.8%	(.f64 x (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
✓	3.3%	(*.f64 1/2 x)
✓	55.6%	(.f64 -1 (.f64 x y))
✓	44.7%	(log.f64 2)

Compiler

Compiled 358 to 239 computations (33.2% saved)

regimes35.0ms (0.4%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(.f64 -1 (.f64 x y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(.f64 y (.f64 1/2 (/.f64 x y)))
(-.f64 (.f64 x 1/2) (.f64 y x))
(+.f64 (.f64 x 1/2) (.f64 (neg.f64 y) x))
(.f64 y (-.f64 x (.f64 x (/.f64 1/2 y))))
(.f64 y (-.f64 (.f64 x (/.f64 1/2 y)) x))
(.f64 x (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 1/2 (/.f64 y x))))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 (neg.f64 (*.f64 x 1/2)) y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

Calls

3 calls:

13.0ms	x
11.0ms	y
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes40.0ms (0.5%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(.f64 -1 (.f64 x y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(.f64 y (.f64 1/2 (/.f64 x y)))
(-.f64 (.f64 x 1/2) (.f64 y x))
(+.f64 (.f64 x 1/2) (.f64 (neg.f64 y) x))
(.f64 y (-.f64 x (.f64 x (/.f64 1/2 y))))
(.f64 y (-.f64 (.f64 x (/.f64 1/2 y)) x))
(.f64 x (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 1/2 (/.f64 y x))))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 (neg.f64 (*.f64 x 1/2)) y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

3 calls:

16.0ms	x
15.0ms	y
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes39.0ms (0.5%)

Counts

20 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(.f64 -1 (.f64 x y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(.f64 y (.f64 1/2 (/.f64 x y)))
(-.f64 (.f64 x 1/2) (.f64 y x))
(+.f64 (.f64 x 1/2) (.f64 (neg.f64 y) x))
(.f64 y (-.f64 x (.f64 x (/.f64 1/2 y))))
(.f64 y (-.f64 (.f64 x (/.f64 1/2 y)) x))
(.f64 x (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 1/2 (/.f64 y x))))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 (neg.f64 (*.f64 x 1/2)) y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))

Outputs
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))

Calls

2 calls:

28.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
90.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(.f64 -1 (.f64 x y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(.f64 y (.f64 1/2 (/.f64 x y)))
(-.f64 (.f64 x 1/2) (.f64 y x))
(+.f64 (.f64 x 1/2) (.f64 (neg.f64 y) x))
(.f64 y (-.f64 x (.f64 x (/.f64 1/2 y))))
(.f64 y (-.f64 (.f64 x (/.f64 1/2 y)) x))
(.f64 x (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 1/2 (/.f64 y x))))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 (neg.f64 (*.f64 x 1/2)) y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes77.0ms (0.9%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	y
32.0ms	x

Results

Accuracy	Segments	Branch
67.9%	3	`y`
82.5%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 x y))
(log.f64 2)

Calls

1 calls:

32.0ms

Results

Accuracy	Segments	Branch
82.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 x y))

Calls

2 calls:

10.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
55.6%	1	`y`
55.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
3.3%	1	`x`
3.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-27880.672810920878	-56.97237221280202

Results

25.0ms	121×	256	valid
1.0ms	3×	512	valid
1.0ms	2×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid

Compiler

Compiled 200 to 156 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-log, time spent: 6.0ms, 54.0% of total-time

Operation ival-exp, time spent: 2.0ms, 18.0% of total-time

Operation ival-mult, time spent: 1.0ms, 9.0% of total-time

Operation ival-sub, time spent: 1.0ms, 9.0% of total-time

Operation ival-add, time spent: 1.0ms, 9.0% of total-time

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

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-56.97237221280202	-0.0001505963159245154

Results

20.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 187 to 147 computations (21.4% saved)

Precisions

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

Operation ival-log, time spent: 3.0ms, 36.0% of total-time

Operation ival-exp, time spent: 2.0ms, 24.0% of total-time

Operation ival-sub, time spent: 1.0ms, 12.0% of total-time

Operation ival-add, time spent: 1.0ms, 12.0% of total-time

Operation ival-mult, time spent: 1.0ms, 12.0% of total-time

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

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-27880.672810920878	-56.97237221280202

Results

19.0ms	121×	256	valid
1.0ms	4×	512	valid
7.0ms	2×	1024	valid
0.0ms	1×	256	valid

Compiler

Compiled 152 to 116 computations (23.7% saved)

Precisions

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

Operation ival-log, time spent: 11.0ms, 70.0% of total-time

Operation ival-exp, time spent: 2.0ms, 13.0% of total-time

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

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

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

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

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-1.0655737438286802e-64	-2.5826591888126805e-70

Results

22.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 169 to 138 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-exp, time spent: 3.0ms, 27.0% of total-time

Operation ival-log, time spent: 3.0ms, 27.0% of total-time

Operation ival-sub, time spent: 2.0ms, 18.0% of total-time

Operation ival-add, time spent: 1.0ms, 9.0% of total-time

Operation ival-mult, time spent: 1.0ms, 9.0% of total-time

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

bsearch37.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	fuel
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-1.0655737438286802e-64	-2.5826591888126805e-70

Results

31.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 252 to 197 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-exp, time spent: 4.0ms, 39.0% of total-time

Operation ival-log, time spent: 3.0ms, 29.0% of total-time

Operation ival-sub, time spent: 1.0ms, 10.0% of total-time

Operation ival-add, time spent: 1.0ms, 10.0% of total-time

Operation ival-mult, time spent: 1.0ms, 10.0% of total-time

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

soundness72.0ms (0.8%)

Rules

376×	`fma-define`
294×	`fma-neg`
88×	`cancel-sign-sub-inv`
72×	`sub-neg`
68×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Stop Event

1×

saturated

Compiler

Compiled 85 to 45 computations (47.1% saved)

end0.0ms (0%)

preprocess113.0ms (1.3%)

Compiler: Compiled 284 to 180 computations (36.6% saved)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

analyze100.0ms (1.2%)

sample3.9s (46.5%)

preprocess501.0ms (5.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize155.0ms (1.8%)

series74.0ms (0.9%)

rewrite273.0ms (3.2%)

eval183.0ms (2.2%)

prune45.0ms (0.5%)

localize615.0ms (7.3%)

series55.0ms (0.7%)

rewrite203.0ms (2.4%)

eval94.0ms (1.1%)

prune50.0ms (0.6%)

localize243.0ms (2.9%)

series72.0ms (0.9%)

rewrite197.0ms (2.3%)

eval129.0ms (1.5%)

prune50.0ms (0.6%)

localize149.0ms (1.8%)

series27.0ms (0.3%)

rewrite511.0ms (6.1%)

eval102.0ms (1.2%)

prune50.0ms (0.6%)

regimes35.0ms (0.4%)

regimes40.0ms (0.5%)

regimes39.0ms (0.5%)

regimes35.0ms (0.4%)

regimes24.0ms (0.3%)

regimes77.0ms (0.9%)

regimes33.0ms (0.4%)

regimes18.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch31.0ms (0.4%)

bsearch23.0ms (0.3%)

bsearch29.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch37.0ms (0.4%)

soundness72.0ms (0.8%)

end0.0ms (0%)

preprocess113.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210