Details

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 12 to 9 computations (25% saved)

sample3.2s (50.6%)

Results

1.7s	2239×	body	8192	exit
1.0s	6815×	body	256	valid
196.0ms	1023×	body	256	infinite
137.0ms	195×	body	1024	valid
100.0ms	223×	body	512	valid

Bogosity

preprocess97.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1496×	`fma-def`
1464×	`times-frac`
894×	`associate-/r/`
664×	`swap-sqr`
658×	`fabs-mul`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	34	42
2	47	42
3	74	42
4	104	42
5	153	42
6	234	42
7	321	42
8	420	42
9	536	42
10	620	42
11	661	42
12	809	42
13	1242	42
14	3038	42
15	5787	42
16	7046	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x 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 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1340×	`fma-def`
786×	`fabs-mul`
740×	`associate-l`
738×	`times-frac`
592×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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)))

eval1.0ms (0%)

Compiler: Compiled 25 to 12 computations (52% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 2

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))
▶	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 36 to 24 computations (33.3% saved)

localize60.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series13.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
4.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2.0ms	x	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1934×	`pow1`
1780×	`add-exp-log`
1780×	`log1p-expm1-u`
1780×	`expm1-log1p-u`
196×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	187	21
2	2458	21

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1480×	`fma-def`
1386×	`fma-neg`
696×	`distribute-lft-neg-in`
540×	`distribute-rgt-neg-in`
402×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1870
1	342	1750
2	1253	1750
3	5301	1610

Stop Event

1×	node limit

Counts

62 → 59

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 y (neg.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)
(.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.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 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))))
(/.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 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x))) (.f64 (log1p.f64 (exp.f64 x)) (.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))

Outputs
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 y (neg.f64 x)) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y (.f64 x (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) 1)
(.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 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y (.f64 x (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) 1)
(/.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 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y (.f64 x (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) 1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y (.f64 x (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) 1)
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x))) (.f64 (log1p.f64 (exp.f64 x)) (.f64 y (neg.f64 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 y (.f64 x (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y (neg.f64 x))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) 1)
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))

eval12.0ms (0.2%)

Compiler: Compiled 897 to 316 computations (64.8% saved)

prune18.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	56	5	61

Accurracy

100.0%

Counts

61 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.3%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	88.2%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	47.6%	(*.f64 y (neg.f64 x))
▶	59.5%	(log1p.f64 (exp.f64 x))
▶	55.1%	(log.f64 2)
▶	88.3%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	88.2%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	47.6%	(*.f64 y (neg.f64 x))
▶	59.5%	(log1p.f64 (exp.f64 x))
▶	55.1%	(log.f64 2)

Compiler

Compiled 136 to 108 computations (20.6% saved)

localize144.0ms (2.3%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 58 to 36 computations (37.9% saved)

series11.0ms (0.2%)

Counts

3 → 51

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
3.0ms	x	@	inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms	x	@	0	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
0.0ms	y	@	inf	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
0.0ms	x	@	-inf	(fma.f64 (-.f64 1/2 y) x (log.f64 2))

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`prod-diff`
1134×	`log-prod`
630×	`fma-def`
554×	`pow-exp`
466×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	276	51
2	3307	51

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

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

simplify103.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1808×	`fma-def`
1732×	`fma-neg`
680×	`log-prod`
632×	`unswap-sqr`
456×	`hypot-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	5811
1	491	4713
2	1476	4591
3	6359	4591

Stop Event

1×	node limit

Counts

179 → 118

Calls

Call 1

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

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

eval41.0ms (0.7%)

Compiler: Compiled 1713 to 1343 computations (21.6% saved)

prune20.0ms (0.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	116	7	123

Accurracy

100.0%

Counts

123 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.5%	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
✓	88.2%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	55.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	36.1%	(*.f64 (-.f64 1/2 y) x)
✓	47.6%	(*.f64 y (neg.f64 x))
✓	59.5%	(log1p.f64 (exp.f64 x))
✓	55.1%	(log.f64 2)
▶	72.5%	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
✓	88.2%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	55.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	36.1%	(*.f64 (-.f64 1/2 y) x)
✓	47.6%	(*.f64 y (neg.f64 x))
✓	59.5%	(log1p.f64 (exp.f64 x))
✓	55.1%	(log.f64 2)

Compiler

Compiled 112 to 88 computations (21.4% saved)

localize92.0ms (1.4%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
✓	93.4%	(.f64 (-.f64 1/4 (.f64 y y)) x)
✓	91.0%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
✓	100.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	100.0%	(*.f64 (-.f64 1/2 y) x)

Compiler

Compiled 78 to 48 computations (38.5% saved)

series6.0ms (0.1%)

Counts

4 → 75

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
1.0ms	x	@	inf	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
0.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))

rewrite113.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`log-prod`
1402×	`fma-def`
690×	`expm1-udef`
686×	`log1p-udef`
530×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	104
1	385	68
2	5455	64

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log1p.f64 1)))) 1)
(-.f64 (/.f64 (.f64 1/4 (.f64 x x)) (fma.f64 1/2 x (log.f64 1/2))) (/.f64 (pow.f64 (log1p.f64 1) 2) (fma.f64 1/2 x (log.f64 1/2))))
(*.f64 (fma.f64 1/2 x (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 1/2 x (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1))) (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1))))
(.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (.f64 1/2 x)) (.f64 1/4 (.f64 x x)))))
(.f64 (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 (log1p.f64 1) 2)) (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (.f64 1/2 x)) (.f64 1/4 (*.f64 x x))) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (.f64 1/2 x)) (.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 1/2 (.f64 x (log1p.f64 1))))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log1p.f64 1) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (.f64 1/2 x)) (.f64 1/4 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 1/4 (.f64 x x))) (-.f64 (log1p.f64 1) (*.f64 1/2 x)))
(pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log1p.f64 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 x))) 2))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log1p.f64 1))))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 (*.f64 1/2 x) 1 (log1p.f64 1))
(fma.f64 (log1p.f64 1) 1 (*.f64 1/2 x))
(fma.f64 1 (*.f64 1/2 x) (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 1/4 (*.f64 x x))) (log1p.f64 1))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log1p.f64 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log1p.f64 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log1p.f64 1))
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1/2 y) x))) (cbrt.f64 (exp.f64 (.f64 (-.f64 1/2 y) x))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1/2 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (-.f64 1/2 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (-.f64 1/2 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(-.f64 (/.f64 1/4 (/.f64 (+.f64 1/2 y) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 1/2 y) x)))
(.f64 x (.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 1/2 y))))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (/.f64 (+.f64 1/2 y) x)))
(.f64 (-.f64 1/4 (.f64 y y)) (*.f64 x (/.f64 1 (+.f64 1/2 y))))
(.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 1/2 y)))
(.f64 (.f64 (-.f64 1/2 y) x) 1)
(.f64 1 (.f64 (-.f64 1/2 y) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2) (.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 1/2 y))))
(.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 1/2 y))))
(.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(.f64 (.f64 x (neg.f64 (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (fma.f64 -1 y -1/2)))
(.f64 (/.f64 1 (+.f64 1/2 y)) (.f64 x (-.f64 1/4 (*.f64 y y))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 x 1) (-.f64 1/2 y))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (-.f64 1/4 (.f64 y y)) (cbrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) 1) (/.f64 x (+.f64 1/2 y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (.f64 (-.f64 1/2 y) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 1) (/.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(pow.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) -1)
(neg.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (fma.f64 -1 y -1/2)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 0 (.f64 x (-.f64 1/4 (.f64 y y))))
(+.f64 (.f64 x 1/4) (.f64 x (*.f64 y (neg.f64 y))))
(+.f64 (.f64 1/4 x) (.f64 (*.f64 y (neg.f64 y)) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (.f64 y y)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (.f64 y y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (.f64 y y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (.f64 y y))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 1/4 (.f64 y y))))) 1)
(/.f64 (.f64 x (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))
(pow.f64 (.f64 x (-.f64 1/4 (.f64 y y))) 1)
(pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 3)
(pow.f64 (pow.f64 (.f64 x (-.f64 1/4 (.f64 y y))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2)
(sqrt.f64 (pow.f64 (.f64 x (-.f64 1/4 (.f64 y y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1/4 (.f64 y y))))))
(cbrt.f64 (pow.f64 (.f64 x (-.f64 1/4 (.f64 y y))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/4 (.f64 y y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1/4 (.f64 y y)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (-.f64 1/4 (.f64 y y)))))
(exp.f64 (log.f64 (.f64 x (-.f64 1/4 (.f64 y y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/4 (*.f64 y y)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (-.f64 1/4 (.f64 y y)))))
(fma.f64 x 1/4 (.f64 x (.f64 y (neg.f64 y))))
(fma.f64 1/4 x (.f64 (.f64 y (neg.f64 y)) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log1p.f64 1) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (.f64 (-.f64 1/2 y) x)) (pow.f64 (.f64 (-.f64 1/2 y) x) 2))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log1p.f64 1) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (.f64 (-.f64 1/2 y) x)) (pow.f64 (.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log1p.f64 1) (.f64 (-.f64 1/2 y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log1p.f64 1) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log1p.f64 1) (.f64 (-.f64 1/2 y) x)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1)) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1)))))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 (-.f64 1/2 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1/2 y) x))) 2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log1p.f64 1))))
(fma.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (log1p.f64 1) 1 (*.f64 (-.f64 1/2 y) x))
(fma.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (log1p.f64 1))
(fma.f64 (-.f64 1/4 (.f64 y y)) (.f64 x (/.f64 1 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (/.f64 1 (+.f64 1/2 y)) (log1p.f64 1))
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 (-.f64 1/2 y) x))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2) (.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (.f64 (-.f64 1/2 y) x)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (log1p.f64 1))
(fma.f64 (.f64 x (neg.f64 (-.f64 1/4 (.f64 y y)))) (/.f64 1 (fma.f64 -1 y -1/2)) (log1p.f64 1))
(fma.f64 (/.f64 1 (+.f64 1/2 y)) (.f64 x (-.f64 1/4 (.f64 y y))) (log1p.f64 1))
(fma.f64 (-.f64 1/2 y) x (log1p.f64 1))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 1/2 y)) (log1p.f64 1))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (cbrt.f64 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (+.f64 1/2 y)) (log1p.f64 1))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log1p.f64 1))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (sqrt.f64 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 1) (/.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (+.f64 1/2 y)) (log1p.f64 1))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (cbrt.f64 (+.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log1p.f64 1))

simplify104.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

798×	`times-frac`
570×	`cancel-sign-sub-inv`
532×	`log-prod`
476×	`fma-neg`
414×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	8191
1	998	7349
2	3374	7269

Stop Event

1×	node limit

Counts

261 → 268

Calls

Call 1

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

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

eval97.0ms (1.5%)

Compiler: Compiled 4772 to 3505 computations (26.6% saved)

prune53.0ms (0.8%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	302	3	305
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	304	8	312

Accurracy

100.0%

Counts

312 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.9%	(+.f64 (*.f64 (neg.f64 y) x) (log.f64 2))
✓	55.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	24.5%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	36.1%	(*.f64 (-.f64 1/2 y) x)
✓	47.6%	(*.f64 y (neg.f64 x))
▶	3.7%	(*.f64 1/2 x)
✓	59.5%	(log1p.f64 (exp.f64 x))
✓	55.1%	(log.f64 2)
▶	92.9%	(+.f64 (*.f64 (neg.f64 y) x) (log.f64 2))
✓	55.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	24.5%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	36.1%	(*.f64 (-.f64 1/2 y) x)
✓	47.6%	(*.f64 y (neg.f64 x))
▶	3.7%	(*.f64 1/2 x)
✓	59.5%	(log1p.f64 (exp.f64 x))
✓	55.1%	(log.f64 2)

Compiler

Compiled 114 to 88 computations (22.8% saved)

localize68.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (neg.f64 y) x) (log.f64 2))
✓	100.0%	(/.f64 x (+.f64 1/2 y))
✓	82.8%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))

Compiler

Compiled 57 to 30 computations (47.4% saved)

series3.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 x (+.f64 1/2 y))
0.0ms	x	@	0	(/.f64 x (+.f64 1/2 y))
0.0ms	y	@	inf	(/.f64 x (+.f64 1/2 y))
0.0ms	y	@	0	(/.f64 x (+.f64 1/2 y))
0.0ms	x	@	0	(+.f64 (*.f64 (neg.f64 y) x) (log.f64 2))

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`log-prod`
912×	`fma-def`
622×	`expm1-udef`
618×	`log1p-udef`
388×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	380	45
2	5328	45

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 (/.f64 x 1) (+.f64 1/2 y)))
(+.f64 (.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y y)))
(+.f64 (.f64 1/4 (/.f64 x (+.f64 1/2 y))) (.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)))) 1)
(/.f64 x (/.f64 (+.f64 1/2 y) (fma.f64 y y 1/4)))
(/.f64 (fma.f64 y y 1/4) (/.f64 (+.f64 1/2 y) x))
(/.f64 1 (/.f64 (+.f64 1/2 y) (*.f64 x (fma.f64 y y 1/4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (+.f64 1/16 (pow.f64 y 4)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 y y 1/4)))
(/.f64 (*.f64 x (fma.f64 y y 1/4)) (+.f64 1/2 y))
(/.f64 (.f64 x (-.f64 1/64 (pow.f64 y 6))) (.f64 (+.f64 1/2 y) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (.f64 x (+.f64 1/16 (pow.f64 y 4))) (.f64 (+.f64 1/2 y) (fma.f64 y y 1/4)))
(/.f64 (.f64 (neg.f64 x) (-.f64 1/64 (pow.f64 y 6))) (.f64 (+.f64 y -1/2) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (.f64 (neg.f64 x) (+.f64 1/16 (pow.f64 y 4))) (.f64 (+.f64 y -1/2) (fma.f64 y y 1/4)))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) x) (.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (+.f64 1/2 y)))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) (neg.f64 x)) (.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (+.f64 y -1/2)))
(/.f64 (.f64 (+.f64 1/16 (pow.f64 y 4)) x) (.f64 (fma.f64 y y 1/4) (+.f64 1/2 y)))
(/.f64 (.f64 (+.f64 1/16 (pow.f64 y 4)) 1) (.f64 (fma.f64 y y 1/4) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (.f64 (+.f64 1/16 (pow.f64 y 4)) (neg.f64 x)) (.f64 (fma.f64 y y 1/4) (+.f64 y -1/2)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y 1/4))) (+.f64 y -1/2))
(/.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (+.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(/.f64 (*.f64 (fma.f64 y y 1/4) (neg.f64 x)) (+.f64 y -1/2))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 y y 1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 x (+.f64 1/2 y))) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (+.f64 1/16 (pow.f64 y 4)) (/.f64 x (+.f64 1/2 y))) (fma.f64 y y 1/4))
(/.f64 (/.f64 (*.f64 x (fma.f64 y y 1/4)) 1) (+.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x (fma.f64 y y 1/4)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (fma.f64 y y 1/4)) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(pow.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3) (pow.f64 (fma.f64 y y 1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y y 1/4) 3) (pow.f64 (/.f64 x (+.f64 1/2 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (.f64 (/.f64 x (+.f64 1/2 y)) (.f64 y y)))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (.f64 (.f64 y y) (/.f64 x (+.f64 1/2 y))))
(+.f64 0 (/.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y)))) 1)
(*.f64 x (/.f64 1 (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) 1)
(*.f64 1 (/.f64 x (+.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.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 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) (sqrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 y -1/2)))
(*.f64 (/.f64 1 (+.f64 1/2 y)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(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)
(pow.f64 (/.f64 (+.f64 1/2 y) x) -1)
(neg.f64 (/.f64 x (+.f64 y -1/2)))
(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)))))
(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)))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1/2 y))))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 -1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log1p.f64 -1/2))))
(*.f64 (fma.f64 x y (log.f64 2)) 1)
(*.f64 1 (fma.f64 x y (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2) (cbrt.f64 (fma.f64 x y (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x y (log.f64 2))) (sqrt.f64 (fma.f64 x y (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 x y (log.f64 2)) (pow.f64 (*.f64 x y) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 -1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (fma.f64 x y (log.f64 2)) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 -1/2)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x y (log.f64 2)) (pow.f64 (.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x (.f64 y (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x y (log1p.f64 -1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (fma.f64 x y (log.f64 2)) (pow.f64 (.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x y (log1p.f64 -1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(pow.f64 (fma.f64 x y (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log.f64 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) 2))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 x y)))))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (/.f64 2 (+.f64 1 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x y (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(fma.f64 y x (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (*.f64 x y) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x y))
(fma.f64 1 (*.f64 x y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x y))
(fma.f64 -1 (*.f64 x y) (log.f64 2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 x -1) y (log.f64 2))

simplify119.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

598×	`associate-/l/`
572×	`associate-/r/`
428×	`associate-r`
424×	`associate-l`
410×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	5023
1	970	4857
2	3679	4723
3	7989	4723

Stop Event

1×	node limit

Counts

203 → 224

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -4 (*.f64 y x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -4 (.f64 y x)) (.f64 8 (*.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 -16 (.f64 (pow.f64 y 3) x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -4 (.f64 y x)) (.f64 8 (*.f64 (pow.f64 y 2) x)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(+.f64 (.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(+.f64 (.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 0 (*.f64 (/.f64 x 1) (+.f64 1/2 y)))
(+.f64 (.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y y)))
(+.f64 (.f64 1/4 (/.f64 x (+.f64 1/2 y))) (.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)))) 1)
(/.f64 x (/.f64 (+.f64 1/2 y) (fma.f64 y y 1/4)))
(/.f64 (fma.f64 y y 1/4) (/.f64 (+.f64 1/2 y) x))
(/.f64 1 (/.f64 (+.f64 1/2 y) (*.f64 x (fma.f64 y y 1/4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (+.f64 1/16 (pow.f64 y 4)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 y y 1/4)))
(/.f64 (*.f64 x (fma.f64 y y 1/4)) (+.f64 1/2 y))
(/.f64 (.f64 x (-.f64 1/64 (pow.f64 y 6))) (.f64 (+.f64 1/2 y) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (.f64 x (+.f64 1/16 (pow.f64 y 4))) (.f64 (+.f64 1/2 y) (fma.f64 y y 1/4)))
(/.f64 (.f64 (neg.f64 x) (-.f64 1/64 (pow.f64 y 6))) (.f64 (+.f64 y -1/2) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (.f64 (neg.f64 x) (+.f64 1/16 (pow.f64 y 4))) (.f64 (+.f64 y -1/2) (fma.f64 y y 1/4)))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) x) (.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (+.f64 1/2 y)))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) (neg.f64 x)) (.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (+.f64 y -1/2)))
(/.f64 (.f64 (+.f64 1/16 (pow.f64 y 4)) x) (.f64 (fma.f64 y y 1/4) (+.f64 1/2 y)))
(/.f64 (.f64 (+.f64 1/16 (pow.f64 y 4)) 1) (.f64 (fma.f64 y y 1/4) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (.f64 (+.f64 1/16 (pow.f64 y 4)) (neg.f64 x)) (.f64 (fma.f64 y y 1/4) (+.f64 y -1/2)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y 1/4))) (+.f64 y -1/2))
(/.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (+.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(/.f64 (*.f64 (fma.f64 y y 1/4) (neg.f64 x)) (+.f64 y -1/2))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 y y 1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 x (+.f64 1/2 y))) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (+.f64 1/16 (pow.f64 y 4)) (/.f64 x (+.f64 1/2 y))) (fma.f64 y y 1/4))
(/.f64 (/.f64 (*.f64 x (fma.f64 y y 1/4)) 1) (+.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x (fma.f64 y y 1/4)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (fma.f64 y y 1/4)) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(pow.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3) (pow.f64 (fma.f64 y y 1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y y 1/4) 3) (pow.f64 (/.f64 x (+.f64 1/2 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x 1) (+.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x 1) (+.f64 1/2 y))))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (.f64 (/.f64 x (+.f64 1/2 y)) (.f64 y y)))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (.f64 (.f64 y y) (/.f64 x (+.f64 1/2 y))))
(+.f64 0 (/.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y)))) 1)
(*.f64 x (/.f64 1 (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) 1)
(*.f64 1 (/.f64 x (+.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.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 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) (sqrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 y -1/2)))
(*.f64 (/.f64 1 (+.f64 1/2 y)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(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)
(pow.f64 (/.f64 (+.f64 1/2 y) x) -1)
(neg.f64 (/.f64 x (+.f64 y -1/2)))
(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)))))
(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)))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1/2 y))))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 -1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log1p.f64 -1/2))))
(*.f64 (fma.f64 x y (log.f64 2)) 1)
(*.f64 1 (fma.f64 x y (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2) (cbrt.f64 (fma.f64 x y (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x y (log.f64 2))) (sqrt.f64 (fma.f64 x y (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 x y (log.f64 2)) (pow.f64 (*.f64 x y) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 -1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (fma.f64 x y (log.f64 2)) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 -1/2)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x y (log.f64 2)) (pow.f64 (.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x (.f64 y (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x y (log1p.f64 -1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (fma.f64 x y (log.f64 2)) (pow.f64 (.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x y (log1p.f64 -1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(pow.f64 (fma.f64 x y (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log.f64 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) 2))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 x y)))))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (/.f64 2 (+.f64 1 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x y (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(fma.f64 y x (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (*.f64 x y) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x y))
(fma.f64 1 (*.f64 x y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x y))
(fma.f64 -1 (*.f64 x y) (log.f64 2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 x -1) y (log.f64 2))

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

eval67.0ms (1.1%)

Compiler: Compiled 3333 to 2119 computations (36.4% saved)

prune46.0ms (0.7%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	212	12	224
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	214	18	232

Accurracy

100.0%

Counts

232 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.5%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	92.9%	(-.f64 (log.f64 2) (*.f64 y x))
✓	55.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	2.3%	(.f64 (/.f64 (neg.f64 x) (+.f64 y -1/2)) (-.f64 1/4 (.f64 y y)))
	2.3%	(.f64 (/.f64 x (+.f64 y 1/2)) (+.f64 1/4 (.f64 y y)))
	24.5%	(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
✓	36.1%	(*.f64 (-.f64 1/2 y) x)
	24.2%	(.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 -1/2 x) (.f64 y y))) (-.f64 1/4 (.f64 y y)))
	24.0%	(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
	24.3%	(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
	6.2%	(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
	2.4%	(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
	6.4%	(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
✓	47.6%	(*.f64 y (neg.f64 x))
	2.6%	(*.f64 x (+.f64 y 1/2))
✓	3.7%	(*.f64 1/2 x)
✓	59.5%	(log1p.f64 (exp.f64 x))
✓	55.1%	(log.f64 2)

Compiler

Compiled 446 to 279 computations (37.4% saved)

regimes39.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 y 1/2))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 y 1/2)) (+.f64 1/4 (.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(.f64 (/.f64 (neg.f64 x) (+.f64 y -1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 -1/2 x) (.f64 y y))) (-.f64 1/4 (.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (*.f64 (neg.f64 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 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
12.0ms	y
8.0ms	(-.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 258 to 147 computations (43% saved)

regimes44.0ms (0.7%)

Counts

25 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 y 1/2))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 y 1/2)) (+.f64 1/4 (.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(.f64 (/.f64 (neg.f64 x) (+.f64 y -1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 -1/2 x) (.f64 y y))) (-.f64 1/4 (.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (*.f64 (neg.f64 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

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

Calls

3 calls:

17.0ms	y
12.0ms	x
8.0ms	(-.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 251 to 146 computations (41.8% saved)

regimes39.0ms (0.6%)

Counts

22 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 y 1/2))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 y 1/2)) (+.f64 1/4 (.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(.f64 (/.f64 (neg.f64 x) (+.f64 y -1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 -1/2 x) (.f64 y y))) (-.f64 1/4 (.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (*.f64 (neg.f64 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
(log1p.f64 (exp.f64 x))

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

Calls

2 calls:

22.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
100.0%	2	`x`
92.9%	1	`y`

Compiler

Compiled 217 to 127 computations (41.5% saved)

regimes25.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 y 1/2))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 y 1/2)) (+.f64 1/4 (.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(.f64 (/.f64 (neg.f64 x) (+.f64 y -1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 -1/2 x) (.f64 y y))) (-.f64 1/4 (.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (*.f64 (neg.f64 y) x) (log.f64 2))

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 189 to 108 computations (42.9% saved)

regimes63.0ms (1%)

Counts

17 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 y 1/2))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 y 1/2)) (+.f64 1/4 (.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(.f64 (/.f64 (neg.f64 x) (+.f64 y -1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 -1/2 x) (.f64 y y))) (-.f64 1/4 (.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))

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

Calls

2 calls:

33.0ms	y
26.0ms	x

Results

Accuracy	Segments	Branch
77.8%	3	`y`
85.4%	3	`x`

Compiler

Compiled 179 to 101 computations (43.6% saved)

regimes31.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 y 1/2))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 y 1/2)) (+.f64 1/4 (.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(.f64 (/.f64 (neg.f64 x) (+.f64 y -1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 -1/2 x) (.f64 y y))) (-.f64 1/4 (.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
(log.f64 2)

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
85.4%	3	`x`

Compiler

Compiled 170 to 94 computations (44.7% saved)

regimes21.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 y 1/2))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 y 1/2)) (+.f64 1/4 (.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(.f64 (/.f64 (neg.f64 x) (+.f64 y -1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 -1/2 x) (.f64 y y))) (-.f64 1/4 (.f64 y y)))
(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))

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

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
47.6%	1	`y`
47.6%	1	`x`

Compiler

Compiled 171 to 94 computations (45% 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	x
3.0ms	y

Results

Accuracy	Segments	Branch
3.7%	1	`x`
3.7%	1	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch27.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1750518140.374377	-3.3364076331066237e-10

Results

19.0ms	147×	body	256	valid
5.0ms	8×	body	1024	valid
1.0ms	5×	body	512	valid

Compiler

Compiled 196 to 152 computations (22.4% saved)

bsearch27.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1750518140.374377	-3.3364076331066237e-10

Results

21.0ms	150×	body	256	valid
2.0ms	4×	body	1024	valid
1.0ms	5×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 176 to 132 computations (25% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.326258405447272e-28	5.398861738429744e-26
19.0ms	-1.918767036206545e-25	-9.97673781767204e-31

Results

31.0ms

256×

body

256

valid

Compiler

Compiled 279 to 227 computations (18.6% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.326258405447272e-28	5.398861738429744e-26
20.0ms	-1.918767036206545e-25	-9.97673781767204e-31

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 215 to 179 computations (16.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
14×	`*-commutative`
12×	`sub-neg`
6×	`neg-mul-1`
6×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	246
1	67	246
2	78	246
3	82	246
4	83	246

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -86) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -1505300300900817/5575186299632655785383929568162090376495104) (.f64 y (neg.f64 x)) (if (<=.f64 x 4738908354687757/2787593149816327892691964784081045188247552) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -5226737155905615/696898287454081973172991196020261297061888) (.f64 y (neg.f64 x)) (if (<=.f64 x 8014330305721943/348449143727040986586495598010130648530944) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -86) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -86) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -86) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1505300300900817/5575186299632655785383929568162090376495104) (.f64 y (neg.f64 x)) (if (<=.f64 x 4738908354687757/2787593149816327892691964784081045188247552) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -1505300300900817/5575186299632655785383929568162090376495104) (.f64 y (neg.f64 x)) (if (<=.f64 x 4738908354687757/2787593149816327892691964784081045188247552) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1505300300900817/5575186299632655785383929568162090376495104) (.f64 x (neg.f64 y)) (if (<=.f64 x 4738908354687757/2787593149816327892691964784081045188247552) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5226737155905615/696898287454081973172991196020261297061888) (.f64 y (neg.f64 x)) (if (<=.f64 x 8014330305721943/348449143727040986586495598010130648530944) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -5226737155905615/696898287454081973172991196020261297061888) (.f64 y (neg.f64 x)) (if (<=.f64 x 8014330305721943/348449143727040986586495598010130648530944) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5226737155905615/696898287454081973172991196020261297061888) (.f64 x (neg.f64 y)) (if (<=.f64 x 8014330305721943/348449143727040986586495598010130648530944) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 109 to 77 computations (29.4% saved)

soundness950.0ms (15%)

Rules

1728×	`prod-diff`
1480×	`fma-def`
1480×	`fma-def`
1386×	`fma-neg`
1386×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21
0	129	1870
1	342	1750
2	1253	1750
3	5301	1610
0	129	1870
1	342	1750
2	1253	1750
3	5301	1610
0	13	51
1	276	51
2	3307	51
0	428	8191
1	998	7349
2	3374	7269
0	385	5023
1	970	4857
2	3679	4723
3	7989	4723

Stop Event

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

Compiler

Compiled 219 to 141 computations (35.6% saved)

end84.0ms (1.3%)

Compiler: Compiled 268 to 158 computations (41% saved)

Details

analyze0.0ms (0%)

sample3.2s (50.6%)

preprocess97.0ms (1.5%)

simplify91.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize60.0ms (1%)

series13.0ms (0.2%)

rewrite60.0ms (0.9%)

simplify75.0ms (1.2%)

eval12.0ms (0.2%)

prune18.0ms (0.3%)

localize144.0ms (2.3%)

series11.0ms (0.2%)

rewrite82.0ms (1.3%)

simplify103.0ms (1.6%)

eval41.0ms (0.7%)

prune20.0ms (0.3%)

localize92.0ms (1.4%)

series6.0ms (0.1%)

rewrite113.0ms (1.8%)

simplify104.0ms (1.6%)

eval97.0ms (1.5%)

prune53.0ms (0.8%)

localize68.0ms (1.1%)

series3.0ms (0.1%)

rewrite89.0ms (1.4%)

simplify119.0ms (1.9%)

eval67.0ms (1.1%)

prune46.0ms (0.7%)

regimes39.0ms (0.6%)

regimes44.0ms (0.7%)

regimes39.0ms (0.6%)

regimes25.0ms (0.4%)

regimes63.0ms (1%)

regimes31.0ms (0.5%)

regimes21.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch27.0ms (0.4%)

bsearch27.0ms (0.4%)

bsearch34.0ms (0.5%)

bsearch35.0ms (0.5%)

simplify11.0ms (0.2%)

soundness950.0ms (15%)

end84.0ms (1.3%)

Profiling