Details

analyze129.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.6s (44.2%)

Results

2.9s	2520×	body	8192	exit
1.3s	7761×	body	256	valid
169.0ms	245×	body	1024	valid
95.0ms	249×	body	512	valid
74.0ms	132×	body	256	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess94.0ms (0.9%)

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)

simplify88.0ms (0.8%)

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

99.6%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series53.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
21.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite74.0ms (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	30
1	187	30
2	2458	30

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg`
654×	`times-frac`
642×	`unswap-sqr`
568×	`log-prod`
488×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	2172
1	392	2052
2	1622	2052
3	7057	2052

Stop Event

1×	node limit

Counts

90 → 80

Calls

Call 1

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

localize18.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
	99.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
0.0ms	x	@	-inf	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
0.0ms	y	@	inf	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
0.0ms	x	@	0	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
0.0ms	y	@	0	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`pow1`
1348×	`add-exp-log`
1346×	`log1p-expm1-u`
1346×	`expm1-log1p-u`
1316×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	177	17
2	2105	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1424×	`fma-neg`
774×	`associate-r`
676×	`associate-l`
646×	`*-commutative`
578×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1043
1	186	953
2	647	951
3	3483	909
4	7528	909

Stop Event

1×	node limit

Counts

45 → 49

Calls

Call 1

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

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

eval53.0ms (0.5%)

Compiler: Compiled 2017 to 766 computations (62% saved)

prune31.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	148	8	156

Accurracy

99.7%

Counts

156 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.7%	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	85.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	42.6%	(*.f64 (neg.f64 y) x)
	58.8%	(log1p.f64 (exp.f64 x))
▶	58.3%	(log.f64 2)

Compiler

Compiled 117 to 90 computations (23.1% saved)

localize19.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
✓	100.0%	(+.f64 1 (log1p.f64 (exp.f64 x)))
	99.6%	(log1p.f64 (exp.f64 x))
✓	98.8%	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)

Compiler

Compiled 36 to 17 computations (52.8% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms	x	@	0	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
0.0ms	x	@	0	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
0.0ms	x	@	inf	(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms	x	@	-inf	(+.f64 1 (log1p.f64 (exp.f64 x)))

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`fma-def`
1134×	`log-prod`
772×	`pow-prod-down`
550×	`pow-exp`
548×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	264	45
2	3785	45

Stop Event

1×	node limit

Counts

3 → 277

Calls

Call 1

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

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

simplify149.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-def`
544×	`distribute-lft-neg-in`
516×	`distribute-rgt-neg-in`
426×	`sub-neg`
360×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	525	10953
1	1205	10647
2	4233	10647

Stop Event

1×	node limit

Counts

325 → 363

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(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 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (-.f64 1 (.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (log1p.f64 (exp.f64 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 2) (+.f64 (log1p.f64 (exp.f64 x)) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 2)) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(expm1.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(hypot.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(fma.f64 1 (log1p.f64 (exp.f64 x)) 0)
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)
(fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1 -1)
(fma.f64 (log1p.f64 (exp.f64 x)) 1 0)
(fma.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
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(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (-.f64 -1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (+.f64 -1 (.f64 x (neg.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (-.f64 -1 (.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (neg.f64 (-.f64 1 (.f64 x (neg.f64 y)))))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) (-.f64 -1 (*.f64 x y)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (expm1.f64 (.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (*.f64 x y)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (-.f64 -1 (*.f64 x y)))
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (expm1.f64 (.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (neg.f64 y))) (cbrt.f64 (.f64 x (neg.f64 y)))) (cbrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (.f64 x (neg.f64 y))) (sqrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.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))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2))) (cbrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(fma.f64 1/2 x (+.f64 (log.f64 2) 1))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (log.f64 2) 1)))
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 1)))
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 1)
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.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))
(+.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 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (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 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(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 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(log1p.f64 (exp.f64 x))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(log1p.f64 (exp.f64 x))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
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(fma.f64 (expm1.f64 (.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))) (.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (log1p.f64 (exp.f64 x)))) (.f64 x y))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))) (-.f64 1 (fma.f64 x y 1)))
(+.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (log1p.f64 (exp.f64 x)))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (.f64 x y)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(+.f64 (-.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)) (cbrt.f64 (.f64 x y)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (neg.f64 y))) (cbrt.f64 (.f64 x (neg.f64 y)))) (cbrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x (neg.f64 y))) (sqrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.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))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (-.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)) (cbrt.f64 (*.f64 x y)))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (-.f64 1 (fma.f64 x y 1)))
(-.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1) (fma.f64 x y 1))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2))) (cbrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)) (neg.f64 (cbrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 x (neg.f64 (cbrt.f64 (.f64 y y)))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

localize4.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize12.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (0.6%)

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 x y))

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1380×	`fma-neg`
1312×	`fma-def`
668×	`distribute-lft-neg-in`
510×	`distribute-rgt-neg-in`
476×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1546
1	300	1426
2	1153	1426
3	4859	1306

Stop Event

1×	node limit

Counts

62 → 51

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

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

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series40.0ms (0.4%)

Counts

2 → 27

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(*.f64 (-.f64 1/2 y) x)
8.0ms	x	@	0	(*.f64 (-.f64 1/2 y) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	y	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	y	@	-inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

rewrite77.0ms (0.7%)

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

Outputs
(-.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))
(+.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)))

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	3335
1	485	2739
2	1449	2681
3	6112	2681

Stop Event

1×	node limit

Counts

115 → 114

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

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

eval260.0ms (2.5%)

Compiler: Compiled 9348 to 4904 computations (47.5% saved)

prune119.0ms (1.1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	546	7	553
Fresh	0	2	2
Picked	0	1	1
Done	1	4	5
Total	547	14	561

Accurracy

99.7%

Counts

561 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
	84.2%	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
▶	91.1%	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	85.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	58.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	46.4%	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
▶	29.0%	(*.f64 (-.f64 1/2 y) x)
✓	42.6%	(*.f64 (neg.f64 y) x)
▶	58.8%	(log1p.f64 (exp.f64 x))
✓	58.3%	(log.f64 2)
▶	70.9%	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
	68.8%	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))

Compiler

Compiled 223 to 180 computations (19.3% saved)

localize14.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`pow1`
1334×	`add-exp-log`
1332×	`log1p-expm1-u`
1332×	`expm1-log1p-u`
1302×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	178	13
2	2086	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log.f64 2))

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1974×	`fma-def`
1364×	`distribute-rgt-in`
1360×	`distribute-lft-in`
698×	`associate-r`
612×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	823
1	144	745
2	547	743
3	3004	701

Stop Event

1×	node limit

Counts

45 → 39

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

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

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize61.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓	98.4%	(-.f64 (+.f64 (log.f64 2) 1) 1)

Compiler

Compiled 31 to 24 computations (22.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`fma-def`
1080×	`log-prod`
722×	`pow-prod-down`
526×	`pow-exp`
502×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	266	22
2	3737	22

Stop Event

1×	node limit

Counts

2 → 235

Calls

Call 1

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

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

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/l*`
738×	`unswap-sqr`
668×	`cancel-sign-sub-inv`
562×	`fma-neg`
558×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	6525
1	938	6147
2	2872	6047

Stop Event

1×	node limit

Counts

259 → 287

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

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

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 8 to 4 computations (50% saved)

localize27.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
✓	100.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	98.8%	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

Compiler

Compiled 35 to 26 computations (25.7% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
1.0ms	x	@	inf	(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
1.0ms	y	@	0	(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
1.0ms	y	@	inf	(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
1.0ms	x	@	0	(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`log-prod`
622×	`prod-exp`
588×	`pow-prod-down`
530×	`pow-prod-up`
504×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	248	61
2	2881	61

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))

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

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/r*`
840×	`unswap-sqr`
582×	`fma-neg`
508×	`associate-*r/`
400×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	7363
1	796	6045
2	2897	5987

Stop Event

1×	node limit

Counts

185 → 197

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

eval270.0ms (2.6%)

Compiler: Compiled 10390 to 7645 computations (26.4% saved)

prune150.0ms (1.4%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	581	6	587
Fresh	2	2	4
Picked	1	0	1
Done	0	9	9
Total	584	17	601

Accurracy

99.7%

Counts

601 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
	10.5%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
▶	84.2%	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
✓	91.1%	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	85.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	29.0%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
▶	58.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	12.0%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	29.0%	(*.f64 (-.f64 1/2 y) x)
✓	42.6%	(*.f64 (neg.f64 y) x)
▶	3.6%	(*.f64 1/2 x)
✓	58.8%	(log1p.f64 (exp.f64 x))
✓	58.3%	(log.f64 2)
▶	3.2%	(expm1.f64 (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (/.f64 1 (.f64 x (-.f64 1/2 y)))) (log.f64 (-.f64 1/2 y)))))
	57.0%	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))))

Compiler

Compiled 277 to 215 computations (22.4% saved)

localize66.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
✓	100.0%	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
✓	98.8%	(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)

Compiler

Compiled 51 to 40 computations (21.6% saved)

series1.0ms (0%)

Counts

3 → 45

Calls

12 calls:

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

rewrite106.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`log-prod`
984×	`fma-neg`
592×	`expm1-udef`
588×	`log1p-udef`
356×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	340	57
2	4861	57

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

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

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

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1560×	`fma-neg`
1098×	`unswap-sqr`
936×	`times-frac`
678×	`fma-def`
428×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	7419
1	1134	7103
2	4163	7099

Stop Event

1×	node limit

Counts

241 → 276

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize28.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 1/2 y))
✓	73.3%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series14.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(/.f64 x (+.f64 1/2 y))
1.0ms	x	@	0	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
1.0ms	y	@	inf	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
1.0ms	x	@	-inf	(/.f64 x (+.f64 1/2 y))
0.0ms	y	@	0	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))

rewrite85.0ms (0.8%)

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))))

simplify89.0ms (0.8%)

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)))
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(/.f64 x (/.f64 (.f64 (+.f64 y 1/2) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6))))
(/.f64 (/.f64 x (+.f64 y 1/2)) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(.f64 x (/.f64 (-.f64 1/64 (pow.f64 y 6)) (.f64 (+.f64 y 1/2) (fma.f64 y (*.f64 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 x (+.f64 y 1/2)) (/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4)))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) 1) (+.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))) (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))

localize21.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`pow1`
1692×	`add-exp-log`
1690×	`log1p-expm1-u`
1690×	`expm1-log1p-u`
1660×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	13
2	2324	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-neg`
832×	`cancel-sign-sub-inv`
774×	`associate-r`
734×	`associate-l`
654×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1330
1	233	1136
2	727	924
3	4059	924

Stop Event

1×	node limit

Counts

38 → 44

Calls

Call 1

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

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

localize60.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(expm1.f64 (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (/.f64 1 (.f64 x (-.f64 1/2 y)))) (log.f64 (-.f64 1/2 y)))))
✓	99.7%	(/.f64 1 (*.f64 x (-.f64 1/2 y)))
✓	99.7%	(+.f64 (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (/.f64 1 (.f64 x (-.f64 1/2 y))))
✓	99.5%	(/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))

Compiler

Compiled 124 to 90 computations (27.4% saved)

series71.0ms (0.7%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
46.0ms	x	@	inf	(/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
8.0ms	x	@	0	(/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
1.0ms	y	@	inf	(expm1.f64 (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (/.f64 1 (.f64 x (-.f64 1/2 y)))) (log.f64 (-.f64 1/2 y)))))
1.0ms	y	@	-inf	(expm1.f64 (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (/.f64 1 (.f64 x (-.f64 1/2 y)))) (log.f64 (-.f64 1/2 y)))))
1.0ms	y	@	0	(expm1.f64 (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (/.f64 1 (.f64 x (-.f64 1/2 y)))) (log.f64 (-.f64 1/2 y)))))

rewrite145.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`fma-neg`
750×	`expm1-udef`
746×	`log1p-udef`
438×	`add-sqr-sqrt`
424×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	166
1	420	138
2	6384	136

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

Inputs
(/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (/.f64 1 (.f64 x (-.f64 1/2 y))))
(/.f64 1 (*.f64 x (-.f64 1/2 y)))
(expm1.f64 (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (/.f64 1 (.f64 x (-.f64 1/2 y)))) (log.f64 (-.f64 1/2 y)))))

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

simplify141.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1018×	`fma-def`
694×	`associate-r`
624×	`associate-l`
592×	`*-commutative`
568×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	709	16345
1	2168	14429

Stop Event

1×	node limit

Counts

259 → 381

Calls

Call 1

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

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

eval541.0ms (5.2%)

Compiler: Compiled 24460 to 18026 computations (26.3% saved)

prune233.0ms (2.2%)

Pruning

26 alts after pruning (14 fresh and 12 done)

	Pruned	Kept	Total
New	860	13	873
Fresh	2	1	3
Picked	1	0	1
Done	1	12	13
Total	864	26	890

Accurracy

99.7%

Counts

890 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
	12.0%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	10.5%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
✓	84.2%	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
✓	91.1%	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
	27.5%	(-.f64 (.f64 x (.f64 (-.f64 1/2 y) (exp.f64 (*.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (+.f64 1 (log1p.f64 1)))))) 1)
	29.0%	(-.f64 (.f64 1/2 x) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	85.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	84.2%	(+.f64 (.f64 1/2 x) (-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (.f64 x y))))
✓	58.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	12.0%	(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
✓	29.0%	(*.f64 (-.f64 1/2 y) x)
	10.7%	(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
	10.9%	(.f64 (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (.f64 y y)))) (-.f64 1/4 (.f64 y y)))
	12.0%	(.f64 (.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
	11.0%	(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
	2.8%	(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
	2.8%	(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
	3.2%	(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
✓	42.6%	(*.f64 (neg.f64 y) x)
✓	3.6%	(*.f64 1/2 x)
✓	58.8%	(log1p.f64 (exp.f64 x))
✓	58.3%	(log.f64 2)
	12.9%	(exp.f64 (log.f64 (fma.f64 x (.f64 (-.f64 1/2 y) (exp.f64 (.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (+.f64 1 (log1p.f64 1))))) -1)))

Compiler

Compiled 326 to 241 computations (26.1% saved)

regimes73.0ms (0.7%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	y
24.0ms	x
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 405 to 255 computations (37% saved)

regimes49.0ms (0.5%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	y
16.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 310 to 183 computations (41% saved)

regimes54.0ms (0.5%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
99.1%	2	`x`
91.9%	1	`y`

Compiler

Compiled 251 to 148 computations (41% saved)

bsearch38.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-254990095417.89963	-51540064.50700897

Results

17.0ms	89×	body	256	valid
12.0ms	23×	body	1024	valid
4.0ms	14×	body	512	valid
2.0ms	2×	body	2048	valid
1.0ms	4×	body	256	infinite

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes39.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
98.6%	2	`x`
91.9%	1	`y`

Compiler

Compiled 196 to 110 computations (43.9% saved)

bsearch43.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-254990095417.89963	-51540064.50700897

Results

22.0ms	35×	body	1024	valid
11.0ms	79×	body	256	valid
5.0ms	5×	body	2048	valid
2.0ms	9×	body	512	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 144 to 108 computations (25% saved)

regimes103.0ms (1%)

Counts

18 → 2

Calls

Call 1

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

Calls

2 calls:

60.0ms	y
38.0ms	x

Results

Accuracy	Segments	Branch
80.9%	2	`x`
74.8%	5	`y`

Compiler

Compiled 190 to 107 computations (43.7% saved)

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-51540064.50700897	-6.969983859625012e-6

Results

25.0ms

160×

body

256

valid

Compiler

Compiled 176 to 142 computations (19.3% saved)

regimes102.0ms (1%)

Counts

17 → 2

Calls

Call 1

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

Calls

2 calls:

53.0ms	y
38.0ms	x

Results

Accuracy	Segments	Branch
80.5%	2	`x`
74.7%	5	`y`

Compiler

Compiled 184 to 102 computations (44.6% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-51540064.50700897	-6.969983859625012e-6

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 136 to 112 computations (17.6% saved)

regimes24.0ms (0.2%)

Accuracy

Total -26.9b remaining (-73.1%)

Threshold costs -26.9b (-73.1%)

Counts

16 → 1

Calls

Call 1

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

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
42.6%	1	`x`
42.6%	1	`y`

Compiler

Compiled 182 to 100 computations (45.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
14×	`*-commutative`
12×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	202
1	56	202
2	66	202
3	71	202
4	73	202

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 -52000000) (.f64 (neg.f64 y) x) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -52000000) (.f64 (neg.f64 y) x) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3412647653636267/9223372036854775808) (.f64 (neg.f64 y) x) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -8264141345021879/1180591620717411303424) (*.f64 (neg.f64 y) x) (log.f64 2))
(*.f64 (neg.f64 y) 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 -52000000) (.f64 (neg.f64 y) x) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -52000000) (neg.f64 (.f64 x y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -52000000) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -52000000) (.f64 (neg.f64 y) x) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -52000000) (neg.f64 (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -52000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3412647653636267/9223372036854775808) (.f64 (neg.f64 y) x) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -3412647653636267/9223372036854775808) (neg.f64 (.f64 x y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -3412647653636267/9223372036854775808) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -8264141345021879/1180591620717411303424) (*.f64 (neg.f64 y) x) (log.f64 2))
(if (<=.f64 x -8264141345021879/1180591620717411303424) (neg.f64 (*.f64 x y)) (log.f64 2))
(if (<=.f64 x -8264141345021879/1180591620717411303424) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 (neg.f64 y) x)
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 91 to 65 computations (28.6% saved)

soundness504.0ms (4.8%)

Rules

1424×	`fma-neg`
1340×	`fma-def`
1340×	`fma-def`
786×	`fabs-mul`
786×	`fabs-mul`

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	78	1043
1	186	953
2	647	951
3	3483	909
4	7528	909

Stop Event

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

Compiler

Compiled 91 to 49 computations (46.2% saved)

end73.0ms (0.7%)

Compiler: Compiled 77 to 40 computations (48.1% saved)