Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.3s (31%)

Results

1.7s	2319×	body	8192	exit
1.2s	6798×	body	256	valid
144.0ms	1051×	body	256	infinite
133.0ms	182×	body	1024	valid
111.0ms	224×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess121.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify91.0ms (0.9%)

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)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accurracy

98.5%

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.4%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
▶	98.5%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.4%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 58 to 40 computations (31% saved)

localize224.0ms (2.1%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	98.5%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	98.5%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	98.5%	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 62 to 19 computations (69.4% saved)

series95.0ms (0.9%)

Counts

7 → 104

Calls

30 calls:

Time	Variable		Point	Expression
68.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
20.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	y	@	0	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	inf	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

rewrite159.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`prod-diff`
1170×	`log-prod`
776×	`fma-def`
438×	`expm1-udef`
438×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	101
1	328	89
2	3930	89

Stop Event

1×	node limit

Counts

7 → 581

Calls

Call 1

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

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

simplify289.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1306×	`fma-neg`
626×	`distribute-lft-neg-in`
588×	`fma-def`
574×	`distribute-rgt-neg-in`
408×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	570	28813
1	1351	24195
2	4221	19321

Stop Event

1×	node limit

Counts

685 → 308

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))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) 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)))
(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)))
(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 (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)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.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 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
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(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 1 (exp.f64 x))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 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))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 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) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 (-.f64 1/2 y) 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 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (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))
(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 1/8 (*.f64 x x) (fma.f64 (-.f64 1/2 y) 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 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (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))
(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 (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 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 (+.f64 1/2 (*.f64 -1 y)) x)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (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 (-.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 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (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 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(fma.f64 x y (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)))
(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)))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(fma.f64 x y (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)))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (.f64 x y)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (log.f64 (pow.f64 (exp.f64 x) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (log.f64 (exp.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 1 (exp.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 1 (exp.f64 x))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (log.f64 (pow.f64 (exp.f64 x) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (log.f64 (exp.f64 x))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(fma.f64 x y (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)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(fma.f64 x y (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)))

eval74.0ms (0.7%)

Compiler: Compiled 6343 to 1864 computations (70.6% saved)

prune53.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	301	7	308
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	303	8	311

Accurracy

99.0%

Counts

311 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
	87.9%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
▶	85.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	54.8%	(*.f64 x (neg.f64 y))
▶	51.6%	(log1p.f64 (exp.f64 x))
▶	51.6%	(log.f64 (+.f64 1 (exp.f64 x)))
	85.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
	87.9%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
▶	85.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	54.8%	(*.f64 x (neg.f64 y))
▶	51.6%	(log1p.f64 (exp.f64 x))
▶	51.6%	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 254 to 188 computations (26% saved)

localize301.0ms (2.8%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 1 (exp.f64 x))
	98.5%	(log.f64 (+.f64 1 (exp.f64 x)))
✓	98.5%	(log1p.f64 (exp.f64 x))
✓	100.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 66 to 35 computations (47% saved)

series8.0ms (0.1%)

Counts

4 → 63

Calls

21 calls:

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

rewrite162.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`log-prod`
1098×	`fma-def`
596×	`expm1-udef`
592×	`log1p-udef`
486×	`log-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	327	58
2	4399	58

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

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

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

simplify148.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

652×	`cancel-sign-sub-inv`
626×	`associate-+l+`
594×	`associate-+r+`
518×	`fma-neg`
466×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	5897
1	907	5501
2	2954	5411

Stop Event

1×	node limit

Counts

249 → 240

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

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

eval92.0ms (0.9%)

Compiler: Compiled 4160 to 2619 computations (37% saved)

prune56.0ms (0.5%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	313	7	320
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	314	14	328

Accurracy

99.0%

Counts

328 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.8%	(fma.f64 (neg.f64 y) x (log1p.f64 1))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	87.9%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
✓	85.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	46.4%	(+.f64 (*.f64 x 1/2) (log.f64 2))
	66.6%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
▶	44.4%	(+.f64 (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
▶	41.8%	(*.f64 (-.f64 1/2 y) x)
✓	54.8%	(*.f64 x (neg.f64 y))
✓	51.6%	(log1p.f64 (exp.f64 x))
▶	45.0%	(log.f64 (+.f64 2 x))
✓	51.6%	(log.f64 (+.f64 1 (exp.f64 x)))
	45.6%	(log.f64 2)
▶	89.8%	(fma.f64 (neg.f64 y) x (log1p.f64 1))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	87.9%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
✓	85.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	46.4%	(+.f64 (*.f64 x 1/2) (log.f64 2))
	66.6%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
▶	44.4%	(+.f64 (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
▶	41.8%	(*.f64 (-.f64 1/2 y) x)
✓	54.8%	(*.f64 x (neg.f64 y))
✓	51.6%	(log1p.f64 (exp.f64 x))
▶	45.0%	(log.f64 (+.f64 2 x))
✓	51.6%	(log.f64 (+.f64 1 (exp.f64 x)))
	45.6%	(log.f64 2)

Compiler

Compiled 374 to 292 computations (21.9% saved)

localize358.0ms (3.4%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
	98.9%	(log1p.f64 (exp.f64 x))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(log.f64 (*.f64 x (-.f64 1/2 y)))
✓	97.3%	(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
✓	100.0%	(log.f64 (+.f64 2 x))
	100.0%	(*.f64 (-.f64 1/2 y) x)

Compiler

Compiled 107 to 58 computations (45.8% saved)

series80.0ms (0.8%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
58.0ms	x	@	-inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
12.0ms	x	@	0	(log.f64 (*.f64 x (-.f64 1/2 y)))
8.0ms	x	@	inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
0.0ms	y	@	inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
0.0ms	x	@	inf	(log.f64 (+.f64 2 x))

rewrite131.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`log-prod`
692×	`pow-prod-down`
554×	`pow-prod-up`
520×	`pow-exp`
460×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	258	54
2	3175	54

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

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

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

658×	`log-prod`
626×	`*-commutative`
606×	`associate-+l+`
592×	`associate-+r+`
524×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	6610
1	1048	6412
2	2996	6384

Stop Event

1×	node limit

Counts

286 → 268

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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.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 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 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))) (log.f64 (.f64 -1 (-.f64 1/2 y))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))
(log.f64 (*.f64 1/2 x))
(+.f64 (.f64 -2 y) (log.f64 (.f64 1/2 x)))
(+.f64 (.f64 -2 y) (+.f64 (.f64 -2 (pow.f64 y 2)) (log.f64 (*.f64 1/2 x))))
(+.f64 (.f64 -2 y) (+.f64 (.f64 -8/3 (pow.f64 y 3)) (+.f64 (.f64 -2 (pow.f64 y 2)) (log.f64 (.f64 1/2 x)))))
(+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/8 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.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 (log.f64 (+.f64 2 x)) 0)
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 0 (log.f64 (+.f64 2 x)))
(+.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (/.f64 1 (-.f64 2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (fma.f64 x (-.f64 x 2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (fma.f64 x x (-.f64 4 (*.f64 2 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 2) 4) (+.f64 (pow.f64 x 3) 8))))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(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 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) 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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (/.f64 2 x) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 x)) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (/.f64 2 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 2 x) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (-.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 2 x) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 -2 (*.f64 x x)))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(log.f64 (*.f64 1/2 x))
(+.f64 (.f64 -2 y) (log.f64 (.f64 1/2 x)))
(fma.f64 -2 y (log.f64 (*.f64 1/2 x)))
(fma.f64 y -2 (log.f64 (*.f64 1/2 x)))
(+.f64 (.f64 -2 y) (+.f64 (.f64 -2 (pow.f64 y 2)) (log.f64 (*.f64 1/2 x))))
(fma.f64 -2 y (fma.f64 -2 (.f64 y y) (log.f64 (.f64 1/2 x))))
(fma.f64 y -2 (fma.f64 -2 (.f64 y y) (log.f64 (.f64 1/2 x))))
(+.f64 (.f64 -2 y) (+.f64 (.f64 -8/3 (pow.f64 y 3)) (+.f64 (.f64 -2 (pow.f64 y 2)) (log.f64 (.f64 1/2 x)))))
(fma.f64 -2 y (fma.f64 -8/3 (pow.f64 y 3) (fma.f64 -2 (.f64 y y) (log.f64 (.f64 1/2 x)))))
(fma.f64 y -2 (fma.f64 -8/3 (pow.f64 y 3) (fma.f64 -2 (.f64 y y) (log.f64 (.f64 1/2 x)))))
(+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 y))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1/2 y)))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (/.f64 1/2 y)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 y) (/.f64 -1/2 y)))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/8 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (-.f64 (log.f64 y) (/.f64 1/2 y)) (/.f64 1/8 (*.f64 y y))))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 y) (+.f64 (/.f64 -1/2 y) (/.f64 -1/8 (*.f64 y y)))))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))) (/.f64 1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))) (/.f64 1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (+.f64 (log.f64 y) (+.f64 (/.f64 -1/2 y) (/.f64 -1/8 (*.f64 y y)))) (/.f64 -1/24 (pow.f64 y 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (.f64 1/2 (/.f64 1 y)))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) (/.f64 1/2 y))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 y))
(-.f64 (log.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1/2 y)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (-.f64 (/.f64 -1/2 y) (/.f64 1/8 (*.f64 y y))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -1/2 y) (/.f64 -1/8 (*.f64 y y))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))) (/.f64 1/24 (pow.f64 y 3))))
(-.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))) (/.f64 1/24 (pow.f64 y 3))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/8 (*.f64 y y)) (/.f64 -1/24 (pow.f64 y 3)))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (fma.f64 x (+.f64 x -2) 4)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 0 (log.f64 (+.f64 2 x)))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (/.f64 1 (-.f64 2 x))))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
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(-.f64 (log.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (log.f64 (+.f64 1/2 y)))
(.f64 2 (log.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 1 (log.f64 (.f64 x (-.f64 1/2 y))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 3 (log.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 1/3 (log.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (-.f64 1/2 y)) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (log.f64 x) (log.f64 (/.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (-.f64 1/2 y)) 2)) (log.f64 (/.f64 x (-.f64 1/2 y))))
(pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2) 1/2)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1) 1))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 3))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 1/3))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 2))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) -1))
(fma.f64 1 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (log.f64 x) 1 (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 0 (*.f64 x (-.f64 1/2 y)))
(*.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 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 (-.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 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(.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 (-.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 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (E.f64))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1/2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 1) (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (fabs.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) 1) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(*.f64 x (-.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 3))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) 1/3))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y)))) 2))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))

eval108.0ms (1%)

Compiler: Compiled 5146 to 3751 computations (27.1% saved)

prune130.0ms (1.2%)

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	325	14	339
Fresh	0	3	3
Picked	2	3	5
Done	0	6	6
Total	327	26	353

Accurracy

99.0%

Counts

353 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.8%	(fma.f64 (neg.f64 y) x (log1p.f64 1))
▶	27.8%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	25.2%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	87.9%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
	43.8%	(+.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	21.5%	(+.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	21.5%	(+.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
▶	43.9%	(+.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (log.f64 2))
✓	85.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	41.8%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
	46.4%	(+.f64 (*.f64 x 1/2) (log.f64 2))
▶	66.6%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
	43.9%	(+.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)) (log.f64 2))
▶	23.3%	(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
	21.4%	(+.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	21.6%	(+.f64 (exp.f64 (exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	27.8%	(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
✓	41.8%	(*.f64 (-.f64 1/2 y) x)
✓	54.8%	(*.f64 x (neg.f64 y))
▶	3.8%	(*.f64 x 1/2)
	45.0%	(log1p.f64 (+.f64 x 1))
✓	51.6%	(log1p.f64 (exp.f64 x))
✓	51.6%	(log.f64 (+.f64 1 (exp.f64 x)))
	45.6%	(log.f64 2)
✓	89.8%	(fma.f64 (neg.f64 y) x (log1p.f64 1))
▶	27.8%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	25.2%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	87.9%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
	43.8%	(+.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	21.5%	(+.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	21.5%	(+.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
▶	43.9%	(+.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (log.f64 2))
✓	85.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	41.8%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
	46.4%	(+.f64 (*.f64 x 1/2) (log.f64 2))
▶	66.6%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
	43.9%	(+.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)) (log.f64 2))
▶	23.3%	(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
	21.4%	(+.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	21.6%	(+.f64 (exp.f64 (exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	27.8%	(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
✓	41.8%	(*.f64 (-.f64 1/2 y) x)
✓	54.8%	(*.f64 x (neg.f64 y))
▶	3.8%	(*.f64 x 1/2)
	45.0%	(log1p.f64 (+.f64 x 1))
✓	51.6%	(log1p.f64 (exp.f64 x))
✓	51.6%	(log.f64 (+.f64 1 (exp.f64 x)))
	45.6%	(log.f64 2)

Compiler

Compiled 1192 to 956 computations (19.8% saved)

localize297.0ms (2.8%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
✓	98.4%	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
✓	97.9%	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
	94.7%	(log.f64 (*.f64 x (-.f64 1/2 y)))
✓	97.3%	(exp.f64 (log.f64 (*.f64 1/2 x)))
✓	95.5%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	99.7%	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
✓	94.7%	(log1p.f64 (*.f64 x (-.f64 1/2 y)))

Compiler

Compiled 186 to 132 computations (29% saved)

series161.0ms (1.5%)

Counts

7 → 156

Calls

39 calls:

Time	Variable		Point	Expression
58.0ms	y	@	inf	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
22.0ms	x	@	-inf	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
19.0ms	x	@	0	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
17.0ms	x	@	inf	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
14.0ms	y	@	-inf	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))

rewrite254.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1910×	`prod-diff`
456×	`add-sqr-sqrt`
450×	`pow1`
444×	`*-un-lft-identity`
434×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	115
1	509	115
2	6153	115

Stop Event

1×	node limit

Counts

7 → 642

Calls

Call 1

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

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

simplify987.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

1810×	`fma-def`
998×	`distribute-lft-in`
992×	`distribute-rgt-in`
562×	`*-commutative`
550×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1242	85922
1	3842	81342

Stop Event

1×	node limit

Counts

798 → 612

Calls

Call 1

Inputs
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 (-.f64 1/2 y) x) (.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 1/2 y) x) (.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))) (.f64 -1/4 (*.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4))))))
(+.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 1 (.f64 (-.f64 1/2 y) x))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 (-.f64 1/2 y) x)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (/.f64 1 (.f64 (-.f64 1/2 y) x))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(+.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 1 (.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (.f64 (-.f64 1/2 y) x)) (log.f64 (.f64 -1 (-.f64 1/2 y))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1 (.f64 (-.f64 1/2 y) x)) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(log.f64 (+.f64 (*.f64 1/2 x) 1))
(+.f64 (.f64 -1 (/.f64 (.f64 y x) (+.f64 (.f64 1/2 x) 1))) (log.f64 (+.f64 (.f64 1/2 x) 1)))
(+.f64 (.f64 -1 (/.f64 (.f64 y x) (+.f64 (.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (.f64 1/2 x) 1)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 y x) (+.f64 (.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (.f64 1/2 x) 1)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (+.f64 (.f64 1/2 x) 1) 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (.f64 1/2 x) 1) 2))))))
(+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 x) 1) (.f64 y x))) (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 x) 1) (.f64 y x))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) 1) 2) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 x) 1) (.f64 y x))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) 1) 3) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) 1) 2) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.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 1 x)) y)) (log.f64 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) 1) 3) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) 1) 2) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x)))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.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 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(exp.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))
(exp.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))
(exp.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))
(exp.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))
(exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))))
(exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))))
(exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))))
(exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))))
(pow.f64 (*.f64 1/2 x) (pow.f64 1 1/3))
(+.f64 (pow.f64 (.f64 1/2 x) (pow.f64 1 1/3)) (.f64 (pow.f64 (.f64 1/2 x) (pow.f64 1 1/3)) (.f64 y (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 (.f64 1/2 x)) 4)) 1/9)) (.f64 -4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 (.f64 1/2 x)) 4)) 1/9))))))
(+.f64 (pow.f64 (.f64 1/2 x) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 (.f64 1/2 x)) 4)) 1/9)) (.f64 -4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 (.f64 1/2 x)) 4)) 1/9))) 2)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 2 (.f64 4/3 (pow.f64 (/.f64 1 (log.f64 (.f64 1/2 x))) 1/9))))) (+.f64 (.f64 8/9 (pow.f64 (/.f64 1 (log.f64 (.f64 1/2 x))) 1/9)) (.f64 1/2 (.f64 (+.f64 (.f64 -16/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 (.f64 1/2 x)) 2)) 1/9)) (.f64 2 (+.f64 (.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (.f64 1/2 x)) 4)) 1/9)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 1/2 x))) 1/3) (+.f64 2 (.f64 4/3 (pow.f64 (/.f64 1 (log.f64 (.f64 1/2 x))) 1/9))))) (.f64 8/9 (pow.f64 (.f64 1 (pow.f64 (log.f64 (.f64 1/2 x)) 2)) 1/9)))))) (pow.f64 (.f64 1 (log.f64 (.f64 1/2 x))) 1/3)))))) (.f64 (pow.f64 (.f64 1/2 x) (pow.f64 1 1/3)) (pow.f64 y 2))) (.f64 (pow.f64 (.f64 1/2 x) (pow.f64 1 1/3)) (.f64 y (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 (.f64 1/2 x)) 4)) 1/9)) (.f64 -4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 (.f64 1/2 x)) 4)) 1/9)))))))
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(+.f64 (fma.f64 (/.f64 1/4 (+.f64 (neg.f64 y) -1/2)) (neg.f64 x) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (+.f64 1/2 y) x))) (/.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (+.f64 1/2 y) x)))) (/.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))) (.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (+.f64 1/2 y) x))) (/.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))))))
(+.f64 (fma.f64 (/.f64 1/4 (+.f64 (neg.f64 y) -1/2)) (neg.f64 x) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (/.f64 (cbrt.f64 (pow.f64 y 4)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 (+.f64 1/2 y) x)))) (/.f64 (cbrt.f64 (pow.f64 y 4)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (/.f64 (cbrt.f64 (pow.f64 y 4)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))))))
(+.f64 (fma.f64 (/.f64 1/4 (+.f64 (neg.f64 y) -1/2)) (neg.f64 x) (neg.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (/.f64 (.f64 y y) 1)))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1/2 y))) (/.f64 (.f64 y y) 1) (.f64 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 y y) 1))))
(+.f64 (fma.f64 (/.f64 1/4 (+.f64 (neg.f64 y) -1/2)) (neg.f64 x) (neg.f64 (.f64 (neg.f64 x) (/.f64 (.f64 y y) (+.f64 (neg.f64 y) -1/2))))) (fma.f64 (neg.f64 (neg.f64 x)) (/.f64 (.f64 y y) (+.f64 (neg.f64 y) -1/2)) (.f64 (neg.f64 x) (/.f64 (*.f64 y y) (+.f64 (neg.f64 y) -1/2)))))
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) 1)
(-.f64 (.f64 1/4 (/.f64 x (+.f64 1/2 y))) (.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(.f64 1 (.f64 x (-.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 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 x (+.f64 1/2 y))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 x (+.f64 1/2 y))))
(.f64 (sqrt.f64 (-.f64 1/2 y)) (.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(.f64 (neg.f64 (-.f64 1/4 (.f64 y y))) (/.f64 1 (/.f64 (+.f64 (neg.f64 y) -1/2) x)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (pow.f64 1 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (*.f64 x (-.f64 1/2 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) 2) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))) (/.f64 (-.f64 1/4 (.f64 y y)) (cbrt.f64 (/.f64 (+.f64 1/2 y) x))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (+.f64 1/2 y)) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 1/2 y) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y)) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) 1) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 1/2 y) x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (/.f64 (+.f64 1/2 y) x))))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) 1) (/.f64 x (+.f64 1/2 y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 (neg.f64 y) -1/2)) (neg.f64 x))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(/.f64 1 (/.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) 1))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (/.f64 (/.f64 (+.f64 1/2 y) x) (cbrt.f64 (-.f64 1/4 (.f64 y y)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 (/.f64 (+.f64 1/2 y) x) (sqrt.f64 (-.f64 1/4 (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 (neg.f64 y) -1/2) x))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (.f64 (/.f64 (+.f64 1/2 y) x) (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y))))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (.f64 (/.f64 (+.f64 1/2 y) x) (+.f64 1/4 (.f64 y y))))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (.f64 1/4 (/.f64 (+.f64 1/2 y) x)) (.f64 (/.f64 (+.f64 1/2 y) x) (*.f64 y y))) (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (*.f64 y y)))) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (.f64 (-.f64 1/16 (pow.f64 y 4)) 1) (.f64 (+.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 1/4 (*.f64 y y)))) (neg.f64 (/.f64 (+.f64 (neg.f64 y) -1/2) x)))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (sqrt.f64 (/.f64 (+.f64 1/2 y) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) (+.f64 (.f64 x (-.f64 1/2 y)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3) (pow.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 1/2 y))) 3)) (+.f64 (.f64 (.f64 1/4 (/.f64 x (+.f64 1/2 y))) (.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (+.f64 (.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 1/2 y))) (.f64 (.f64 y y) (/.f64 x (+.f64 1/2 y)))) (.f64 (.f64 1/4 (/.f64 x (+.f64 1/2 y))) (.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) (+.f64 (.f64 x (-.f64 1/2 y)) 1)) 1) (+.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) 1))
(/.f64 (-.f64 (.f64 (.f64 1/4 (/.f64 x (+.f64 1/2 y))) (.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 1/2 y))) (.f64 (.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (.f64 1/4 (/.f64 x (+.f64 1/2 y))) (.f64 (*.f64 y y) (/.f64 x (+.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))) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 x (+.f64 1/2 y))) (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y)))))
(/.f64 (.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 x (+.f64 1/2 y))) (+.f64 1/4 (.f64 y y)))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 (+.f64 1/2 y) x))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))) (cbrt.f64 (/.f64 (+.f64 1/2 y) x)))
(neg.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 (neg.f64 y) -1/2) x)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 (/.f64 (+.f64 1/2 y) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)))) 1)
(.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) 1)
(.f64 1 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)))
(.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) 2) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) 1)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))) 3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)))
(pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) 2))
(log.f64 (exp.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)))))
(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) 1)
(.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1)
(.f64 1 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(.f64 (pow.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1/6) (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1/6))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(.f64 (pow.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1/3))
(pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(fabs.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))

Outputs
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 (-.f64 1/2 y) x) (.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))))
(fma.f64 (-.f64 1/2 y) x (.f64 -1/2 (.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))))
(fma.f64 -1/2 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (-.f64 1/2 y) x))
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(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 (/.f64 (+.f64 1/2 y) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)))) 1)
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) 1)
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(.f64 1 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))) 2))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) 2) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2))) (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) 1)
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))) 3)
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) 3) 1/3)
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))) 2)
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x))) 2)))
(pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) 2))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) 2))
(fabs.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) 3))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) 1)
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1)
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(.f64 1 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(.f64 (pow.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1/6) (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1/6))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(.f64 (pow.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1/3)
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2) 1/2)
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 3)
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1/6) 2)
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(fabs.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1/3))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 1))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))

eval1.2s (11.1%)

Compiler: Compiled 49667 to 36682 computations (26.1% saved)

prune299.0ms (2.8%)

Pruning

27 alts after pruning (15 fresh and 12 done)

	Pruned	Kept	Total
New	888	6	894
Fresh	3	9	12
Picked	2	3	5
Done	0	9	9
Total	893	27	920

Accurracy

99.0%

Counts

920 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.8%	(fma.f64 (neg.f64 y) x (log1p.f64 1))
✓	27.8%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	25.2%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	87.9%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
	43.7%	(+.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) 3) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (log.f64 2))
	25.1%	(+.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 1/2 x)))) (log.f64 2))
	21.5%	(+.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (log.f64 2))
	53.4%	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) (+.f64 (.f64 x (-.f64 1/2 y)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) 1)))) (log.f64 2))
✓	85.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	41.8%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
	46.4%	(+.f64 (*.f64 x 1/2) (log.f64 2))
	22.7%	(+.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) (/.f64 (/.f64 1 x) (-.f64 1/2 y)))) (log.f64 2))
	45.3%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x 1/2))) (log.f64 2))
	43.9%	(+.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)) (log.f64 2))
✓	23.3%	(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
	21.4%	(+.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	21.6%	(+.f64 (exp.f64 (exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) (log.f64 2))
	27.8%	(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
✓	41.8%	(*.f64 (-.f64 1/2 y) x)
✓	54.8%	(*.f64 x (neg.f64 y))
✓	3.8%	(*.f64 x 1/2)
	45.0%	(log1p.f64 (+.f64 x 1))
✓	51.6%	(log1p.f64 (exp.f64 x))
✓	51.6%	(log.f64 (+.f64 1 (exp.f64 x)))
	45.6%	(log.f64 2)

Compiler

Compiled 801 to 611 computations (23.7% saved)

regimes75.0ms (0.7%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	y
20.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
17.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 473 to 347 computations (26.6% saved)

regimes52.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	x
19.0ms	y
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 181 to 118 computations (34.8% saved)

regimes30.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
98.4%	2	`x`
89.8%	1	`y`

Compiler

Compiled 105 to 66 computations (37.1% saved)

regimes24.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
97.9%	2	`x`

Compiler

Compiled 80 to 50 computations (37.5% saved)

regimes80.0ms (0.8%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	x
35.0ms	y

Results

Accuracy	Segments	Branch
76.8%	3	`y`
86.0%	3	`x`

Compiler

Compiled 77 to 48 computations (37.7% saved)

regimes12.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
54.8%	1	`y`
54.8%	1	`x`

Compiler

Compiled 61 to 35 computations (42.6% saved)

regimes14.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)

Outputs
(*.f64 x 1/2)

Calls

2 calls:

11.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
3.8%	1	`x`
3.8%	1	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-3.5658513275215964e+20	-53077187747746005000.0

Results

13.0ms	20×	body	1024	valid
8.0ms	56×	body	256	valid
4.0ms	17×	body	512	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 124 to 96 computations (22.6% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-3.5658513275215964e+20	-53077187747746005000.0

Results

8.0ms	62×	body	256	valid
8.0ms	19×	body	1024	valid
3.0ms	14×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 112 to 84 computations (25% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.1776196986572572e-27	3.1295266170665352e-21
39.0ms	-6.519592286042999e-21	-1.254345021044748e-26

Results

58.0ms

288×

body

256

valid

Compiler

Compiled 241 to 201 computations (16.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	187
1	53	187
2	63	187
3	68	187
4	70	187

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 -54000000000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -54000000000000000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4120606786933239/1329227995784915872903807060280344576) (.f64 x (neg.f64 y)) (if (<=.f64 x 2450033041830757/5444517870735015415413993718908291383296) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -54000000000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -54000000000000000000) (neg.f64 (.f64 x y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -54000000000000000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -54000000000000000000) (neg.f64 (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4120606786933239/1329227995784915872903807060280344576) (.f64 x (neg.f64 y)) (if (<=.f64 x 2450033041830757/5444517870735015415413993718908291383296) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -4120606786933239/1329227995784915872903807060280344576) (neg.f64 (.f64 x y)) (if (<=.f64 x 2450033041830757/5444517870735015415413993718908291383296) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 x y))
(*.f64 x 1/2)

Compiler

Compiled 84 to 58 computations (31% saved)

soundness817.0ms (7.7%)

Rules

1340×	`fma-def`
1340×	`fma-def`
1306×	`fma-neg`
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	408	5897
1	907	5501
2	2954	5411
0	570	28813
1	1351	24195
2	4221	19321
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
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 104 to 58 computations (44.2% saved)

end113.0ms (1.1%)

Compiler: Compiled 222 to 130 computations (41.4% saved)

Details

analyze0.0ms (0%)

sample3.3s (31%)

preprocess121.0ms (1.1%)

simplify91.0ms (0.9%)

eval1.0ms (0%)

prune3.0ms (0%)

localize224.0ms (2.1%)

series95.0ms (0.9%)

rewrite159.0ms (1.5%)

simplify289.0ms (2.7%)

eval74.0ms (0.7%)

prune53.0ms (0.5%)

localize301.0ms (2.8%)

series8.0ms (0.1%)

rewrite162.0ms (1.5%)

simplify148.0ms (1.4%)

eval92.0ms (0.9%)

prune56.0ms (0.5%)

localize358.0ms (3.4%)

series80.0ms (0.8%)

rewrite131.0ms (1.2%)

simplify105.0ms (1%)

eval108.0ms (1%)

prune130.0ms (1.2%)

localize297.0ms (2.8%)

series161.0ms (1.5%)

rewrite254.0ms (2.4%)

simplify987.0ms (9.3%)

eval1.2s (11.1%)

prune299.0ms (2.8%)

regimes75.0ms (0.7%)

regimes52.0ms (0.5%)

regimes30.0ms (0.3%)

regimes24.0ms (0.2%)

regimes80.0ms (0.8%)

regimes12.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch26.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch62.0ms (0.6%)

simplify9.0ms (0.1%)

soundness817.0ms (7.7%)

end113.0ms (1.1%)

Profiling