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)

sample3.4s (42%)

Results

1.7s	2274×	body	8192	exit
965.0ms	6823×	body	256	valid
579.0ms	1025×	body	256	infinite
101.0ms	206×	body	1024	valid
69.0ms	202×	body	512	valid

Bogosity

preprocess119.0ms (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 (1.1%)

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)

prune1.0ms (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

86.7%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	86.7%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize40.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series13.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.7%)

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)))

simplify70.0ms (0.9%)

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))

localize38.0ms (0.5%)

Compiler: Compiled 19 to 7 computations (63.2% saved)

eval24.0ms (0.3%)

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

prune12.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	56	5	61

Accurracy

87.1%

Counts

61 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	70.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	43.9%	(*.f64 y (neg.f64 x))
▶	45.0%	(log1p.f64 (exp.f64 x))
▶	45.1%	(log.f64 2)

Compiler

Compiled 68 to 54 computations (20.6% saved)

localize39.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`unpow-prod-down`
940×	`log-prod`
580×	`prod-exp`
546×	`pow-prod-down`
484×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	226	19
2	2673	19

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(fma.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 (.f64 (.f64 (-.f64 1/2 y) x) 1) (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(*.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 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 5/2) 1/3) (cbrt.f64 (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 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(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)) 2) 1/2)
(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)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(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))))

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1422×	`fma-neg`
830×	`log-prod`
702×	`fma-def`
614×	`distribute-lft-in`
574×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1942
1	273	1382
2	841	1372
3	3873	1334
4	7032	1334

Stop Event

1×	node limit

Counts

62 → 63

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 (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 (.f64 (.f64 (-.f64 1/2 y) x) 1) (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(*.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 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 5/2) 1/3) (cbrt.f64 (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 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(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)) 2) 1/2)
(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)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(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))))

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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 0 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 (.f64 (-.f64 1/2 y) x) 1) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))
(.f64 3 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))
(.f64 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) 3)
(+.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (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 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 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 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (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 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (-.f64 1/2 y) (.f64 x (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

localize23.0ms (0.3%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize19.0ms (0.2%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize50.0ms (0.6%)

Local Accuracy

Found 2 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)

Compiler

Compiled 25 to 18 computations (28% saved)

series5.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

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

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`prod-diff`
1052×	`log-prod`
694×	`pow-prod-down`
624×	`fma-def`
512×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	238	32
2	3091	32

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

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

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1738×	`fma-neg`
1554×	`fma-def`
684×	`log-prod`
632×	`unswap-sqr`
476×	`hypot-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	3335
1	482	2739
2	1445	2681
3	6106	2681

Stop Event

1×	node limit

Counts

115 → 114

Calls

Call 1

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

localize29.0ms (0.4%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

eval55.0ms (0.7%)

Compiler: Compiled 2554 to 1999 computations (21.7% saved)

prune28.0ms (0.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	172	5	177
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	174	8	182

Accurracy

87.4%

Counts

182 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.9%	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
▶	70.8%	(+.f64 (+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y))) (log.f64 2))
✓	70.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	78.7%	(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
▶	45.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	28.2%	(*.f64 (-.f64 1/2 y) x)
✓	43.9%	(*.f64 y (neg.f64 x))
✓	45.1%	(log.f64 2)

Compiler

Compiled 126 to 98 computations (22.2% saved)

localize35.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`pow1`
1770×	`add-exp-log`
1766×	`log1p-expm1-u`
1766×	`expm1-log1p-u`
220×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	211	13
2	2787	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1666×	`fma-neg`
1654×	`times-frac`
1014×	`associate-r`
998×	`associate-l`
606×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1713
1	234	1517
2	820	1363
3	6717	1363

Stop Event

1×	node limit

Counts

61 → 53

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize33.0ms (0.4%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

localize48.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`fma-def`
1244×	`log-prod`
580×	`pow-exp`
564×	`pow-prod-up`
538×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	286	32
2	4023	32

Stop Event

1×	node limit

Counts

2 → 248

Calls

Call 1

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

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

simplify151.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1184×	`distribute-lft-in`
1142×	`distribute-rgt-in`
832×	`unswap-sqr`
796×	`cancel-sign-sub-inv`
666×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	8480
1	1091	7328
2	3111	7088

Stop Event

1×	node limit

Counts

296 → 313

Calls

Call 1

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

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

localize60.0ms (0.7%)

Local Accuracy

Found 3 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))
✓	93.7%	(.f64 (-.f64 1/4 (.f64 y y)) x)
✓	85.5%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))

Compiler

Compiled 53 to 31 computations (41.5% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 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))

rewrite91.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`log-prod`
940×	`fma-def`
590×	`expm1-udef`
586×	`log1p-udef`
382×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	334	55
2	4612	51

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1054×	`unswap-sqr`
876×	`associate-*r/`
722×	`times-frac`
468×	`cancel-sign-sub-inv`
420×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	7235
1	790	6053
2	2719	5977

Stop Event

1×	node limit

Counts

211 → 210

Calls

Call 1

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

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

eval194.0ms (2.4%)

Compiler: Compiled 10390 to 6858 computations (34% saved)

prune101.0ms (1.2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	612	7	619
Fresh	0	0	0
Picked	1	0	1
Done	2	5	7
Total	615	12	627

Accurracy

87.4%

Counts

627 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.9%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
▶	78.7%	(-.f64 (log.f64 2) (*.f64 y x))
	48.7%	(+.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (+.f64 1/2 y)) (log.f64 2))
	70.8%	(+.f64 (-.f64 (.f64 x 1/2) (.f64 x y)) (log.f64 2))
✓	70.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	28.2%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	45.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	13.0%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	28.2%	(*.f64 (-.f64 1/2 y) x)
✓	43.9%	(*.f64 y (neg.f64 x))
▶	3.6%	(*.f64 1/2 x)
✓	45.1%	(log.f64 2)

Compiler

Compiled 187 to 138 computations (26.2% saved)

localize31.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1908×	`pow1`
1764×	`add-exp-log`
1762×	`log1p-expm1-u`
1762×	`expm1-log1p-u`
198×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	17
2	2439	17

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 y x))

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

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1398×	`fma-def`
1348×	`fma-neg`
666×	`distribute-lft-neg-in`
506×	`distribute-rgt-neg-in`
482×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1546
1	297	1426
2	1155	1426
3	4946	1306

Stop Event

1×	node limit

Counts

62 → 49

Calls

Call 1

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

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

localize18.0ms (0.2%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize30.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))

Compiler

Compiled 23 to 11 computations (52.2% saved)

localize37.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 1/2 y))
✓	78.8%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

12 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	y	@	-inf	(/.f64 x (+.f64 1/2 y))

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`log-prod`
804×	`pow-prod-down`
530×	`pow-prod-up`
516×	`pow-exp`
444×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	250	32
2	3438	32

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

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

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1980×	`fma-def`
1150×	`distribute-lft-in`
1088×	`distribute-rgt-in`
692×	`unswap-sqr`
308×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	3807
1	731	3531
2	2791	3387

Stop Event

1×	node limit

Counts

133 → 172

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

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

localize39.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	72.4%	(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))

Compiler

Compiled 38 to 21 computations (44.7% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite91.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`log-prod`
740×	`pow-prod-down`
542×	`pow-prod-up`
526×	`pow-exp`
452×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	256	26
2	3691	26

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

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

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1128×	`fma-def`
978×	`unswap-sqr`
976×	`associate-*r/`
844×	`distribute-lft-in`
828×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3654
1	765	3196
2	2384	3112

Stop Event

1×	node limit

Counts

138 → 180

Calls

Call 1

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

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

eval172.0ms (2.1%)

Compiler: Compiled 8992 to 5306 computations (41% saved)

prune220.0ms (2.7%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	570	14	584
Fresh	0	2	2
Picked	0	1	1
Done	2	7	9
Total	572	24	596

Accurracy

87.4%

Counts

596 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	12.9%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
	28.0%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	43.7%	(/.f64 x (/.f64 -1 y))
	27.8%	(/.f64 x (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1/2 y) y)))
	2.8%	(/.f64 x (+.f64 2 (*.f64 4 y)))
	28.2%	(-.f64 (.f64 x 1/2) (.f64 x y))
✓	78.7%	(-.f64 (log.f64 2) (*.f64 y x))
	48.7%	(+.f64 (/.f64 (.f64 x (.f64 y (neg.f64 y))) (+.f64 1/2 y)) (log.f64 2))
	70.8%	(+.f64 (-.f64 (.f64 x 1/2) (.f64 x y)) (log.f64 2))
✓	70.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	45.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	12.8%	(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
✓	28.2%	(*.f64 (-.f64 1/2 y) x)
	11.8%	(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
	12.0%	(.f64 (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (.f64 y y)))) (-.f64 1/4 (.f64 y y)))
	2.5%	(*.f64 (+.f64 1/2 y) x)
	12.2%	(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
	2.2%	(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
	2.2%	(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
	2.6%	(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
	28.1%	(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
✓	43.9%	(*.f64 y (neg.f64 x))
✓	3.6%	(*.f64 1/2 x)
✓	45.1%	(log.f64 2)

Compiler

Compiled 269 to 193 computations (28.3% saved)

regimes51.0ms (0.6%)

Counts

34 → 1

Calls

Call 1

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

17.0ms	x
16.0ms	y
10.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
86.7%	1	`x`
86.7%	1	`y`
86.7%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 324 to 187 computations (42.3% saved)

regimes53.0ms (0.7%)

Counts

33 → 1

Calls

Call 1

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

18.0ms	y
16.0ms	x
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
86.7%	1	`x`
86.7%	1	`y`
86.7%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 317 to 186 computations (41.3% saved)

regimes51.0ms (0.6%)

Counts

30 → 2

Calls

Call 1

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

Calls

2 calls:

27.0ms	x
17.0ms	y

Results

Accuracy	Segments	Branch
86.7%	2	`x`
78.7%	1	`y`

Compiler

Compiled 283 to 168 computations (40.6% saved)

bsearch32.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-3589365786701.632	-1052424140.0961757

Results

10.0ms	73×	body	256	valid
10.0ms	22×	body	1024	valid
5.0ms	20×	body	512	valid
4.0ms	5×	body	2048	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 176 to 132 computations (25% saved)

regimes41.0ms (0.5%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
86.7%	2	`x`
78.7%	1	`y`

Compiler

Compiled 232 to 137 computations (40.9% saved)

bsearch35.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-3589365786701.632	-1052424140.0961757

Results

15.0ms	81×	body	256	valid
15.0ms	29×	body	1024	valid
4.0ms	15×	body	512	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes40.0ms (0.5%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
86.6%	2	`x`
78.7%	1	`y`

Compiler

Compiled 224 to 131 computations (41.5% saved)

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-3589365786701.632	-1052424140.0961757

Results

14.0ms	88×	body	256	valid
7.0ms	16×	body	1024	valid
3.0ms	14×	body	512	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 144 to 108 computations (25% saved)

regimes85.0ms (1%)

Counts

22 → 2

Calls

Call 1

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

Calls

2 calls:

49.0ms	y
30.0ms	x

Results

Accuracy	Segments	Branch
72.6%	2	`x`
64.1%	5	`y`

Compiler

Compiled 211 to 124 computations (41.2% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-9.718252448275487e-77	-1.5712999690123736e-83

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 160 to 129 computations (19.4% saved)

regimes96.0ms (1.2%)

Counts

21 → 2

Calls

Call 1

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

Calls

2 calls:

63.0ms	y
28.0ms	x

Results

Accuracy	Segments	Branch
72.5%	2	`x`
63.5%	5	`y`

Compiler

Compiled 205 to 119 computations (42% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-9.718252448275487e-77	-1.5712999690123736e-83

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 124 to 102 computations (17.7% saved)

regimes26.0ms (0.3%)

Accuracy

Total -27.8b remaining (-77.5%)

Threshold costs -27.8b (-77.5%)

Counts

20 → 1

Calls

Call 1

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

10.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
43.9%	1	`x`
43.9%	1	`y`

Compiler

Compiled 203 to 117 computations (42.4% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
14×	`sub-neg`
14×	`*-commutative`
10×	`cancel-sign-sub-inv`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	251
1	68	251
2	81	251
3	85	251
4	86	251

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 -1060000000) (.f64 y (neg.f64 x)) (+.f64 (-.f64 (.f64 x 1/2) (*.f64 x y)) (log.f64 2)))
(if (<=.f64 x -1060000000) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -1060000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -213598703592091/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -7691847846639019/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.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 -1060000000) (.f64 y (neg.f64 x)) (+.f64 (-.f64 (.f64 x 1/2) (*.f64 x y)) (log.f64 2)))
(if (<=.f64 x -1060000000) (.f64 x (neg.f64 y)) (+.f64 (-.f64 (.f64 x 1/2) (*.f64 x y)) (log.f64 2)))
(if (<=.f64 x -1060000000) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -1060000000) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1060000000) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1060000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -1060000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1060000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -213598703592091/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -213598703592091/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 y (neg.f64 x)) (+.f64 (.f64 x 1/2) (log.f64 2)))
(if (<=.f64 x -213598703592091/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 x (neg.f64 y)) (+.f64 (.f64 x 1/2) (log.f64 2)))
(if (<=.f64 x -7691847846639019/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -7691847846639019/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 111 to 79 computations (28.8% saved)

soundness988.0ms (12.1%)

Rules

1738×	`fma-neg`
1728×	`prod-diff`
1666×	`fma-neg`
1654×	`times-frac`
1554×	`fma-def`

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	216	3335
1	482	2739
2	1445	2681
3	6106	2681
0	95	1713
1	234	1517
2	820	1363
3	6717	1363
0	11	32
1	238	32
2	3091	32
0	13	44
1	286	32
2	4023	32

Stop Event

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

Compiler

Compiled 241 to 155 computations (35.7% saved)

end82.0ms (1%)

Compiler: Compiled 268 to 152 computations (43.3% saved)

Details

analyze0.0ms (0%)

sample3.4s (42%)

preprocess119.0ms (1.5%)

simplify91.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize40.0ms (0.5%)

series13.0ms (0.2%)

rewrite61.0ms (0.7%)

simplify70.0ms (0.9%)

localize38.0ms (0.5%)

eval24.0ms (0.3%)

prune12.0ms (0.1%)

localize39.0ms (0.5%)

series6.0ms (0.1%)

rewrite64.0ms (0.8%)

simplify80.0ms (1%)

localize23.0ms (0.3%)

localize19.0ms (0.2%)

localize50.0ms (0.6%)

series5.0ms (0.1%)

rewrite77.0ms (0.9%)

simplify84.0ms (1%)

localize29.0ms (0.4%)

eval55.0ms (0.7%)

prune28.0ms (0.3%)

localize35.0ms (0.4%)

series1.0ms (0%)

rewrite58.0ms (0.7%)

simplify63.0ms (0.8%)

localize27.0ms (0.3%)

localize33.0ms (0.4%)

localize48.0ms (0.6%)

series2.0ms (0%)

rewrite90.0ms (1.1%)

simplify151.0ms (1.9%)

localize60.0ms (0.7%)

series6.0ms (0.1%)

rewrite91.0ms (1.1%)

simplify97.0ms (1.2%)

eval194.0ms (2.4%)

prune101.0ms (1.2%)

localize31.0ms (0.4%)

series1.0ms (0%)

rewrite57.0ms (0.7%)

simplify74.0ms (0.9%)

localize18.0ms (0.2%)

localize30.0ms (0.4%)

localize37.0ms (0.5%)

series2.0ms (0%)

rewrite77.0ms (0.9%)

simplify70.0ms (0.9%)

localize39.0ms (0.5%)

series1.0ms (0%)

rewrite91.0ms (1.1%)

simplify70.0ms (0.9%)

eval172.0ms (2.1%)

prune220.0ms (2.7%)

regimes51.0ms (0.6%)

regimes53.0ms (0.7%)

regimes51.0ms (0.6%)

bsearch32.0ms (0.4%)

regimes41.0ms (0.5%)

bsearch35.0ms (0.4%)

regimes40.0ms (0.5%)

bsearch27.0ms (0.3%)

regimes85.0ms (1%)

bsearch23.0ms (0.3%)

regimes96.0ms (1.2%)

bsearch19.0ms (0.2%)

regimes26.0ms (0.3%)

simplify10.0ms (0.1%)

soundness988.0ms (12.1%)

end82.0ms (1%)

Profiling