Metrics for Logistic regression 2

analyze42.0ms (0.5%)

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)

sample3.0s (36.9%)

Results

1.7s	2128×	body	8192	exit
1.0s	6763×	body	256	valid
174.0ms	1042×	body	256	infinite
94.0ms	220×	body	1024	valid
59.0ms	229×	body	512	valid
3.0ms	2×	body	2048	valid

Bogosity

preprocess92.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1536×	`times-frac`
1354×	`fma-def`
800×	`fma-neg`
720×	`fabs-mul`
544×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	92
1	61	88
2	94	80
3	211	80
4	365	80
5	607	80
6	1137	80
7	2603	80
8	5620	80
9	7751	80

Stop Event

1×	node limit

Calls

Call 1

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

simplify78.0ms (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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

99.3%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	99.3%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize53.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	99.2%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 36 to 9 computations (75% saved)

series49.0ms (0.6%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
18.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite119.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`prod-diff`
1038×	`log-prod`
656×	`pow-prod-down`
542×	`fma-def`
516×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	250	52
2	3397	52

Stop Event

1×	node limit

Counts

4 → 367

Calls

Call 1

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

simplify153.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1202×	`fma-neg`
812×	`unswap-sqr`
590×	`distribute-lft-neg-in`
570×	`fma-def`
568×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	9877
1	1260	9639
2	3640	9489

Stop Event

1×	node limit

Counts

439 → 257

Calls

Call 1

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

eval71.0ms (0.9%)

Compiler: Compiled 5956 to 1977 computations (66.8% saved)

prune57.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	292	8	300
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	293	9	302

Accurracy

100.0%

Counts

302 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.6%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	88.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	99.2%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	72.5%	(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
▶	80.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	72.5%	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 (+.f64 1/2 (*.f64 -1 y)) x)))
▶	58.0%	(*.f64 x (neg.f64 y))
	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.6%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	88.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	99.2%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	72.5%	(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
▶	80.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	72.5%	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 (+.f64 1/2 (*.f64 -1 y)) x)))
▶	58.0%	(*.f64 x (neg.f64 y))

Compiler

Compiled 382 to 296 computations (22.5% saved)

localize818.0ms (9.9%)

Local Accuracy

Found 13 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	97.9%	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
✓	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
✓	96.9%	(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
✓	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	100.0%	(log1p.f64 (log1p.f64 (exp.f64 x)))
✓	100.0%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	100.0%	(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 150 to 84 computations (44% saved)

series94.0ms (1.1%)

Counts

12 → 144

Calls

54 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(log1p.f64 (log1p.f64 (exp.f64 x)))
18.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
15.0ms	x	@	inf	(log1p.f64 (log1p.f64 (exp.f64 x)))
14.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))

rewrite121.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`add-sqr-sqrt`
592×	`pow1`
588×	`*-un-lft-identity`
568×	`add-exp-log`
566×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	206
1	607	202

Stop Event

1×	node limit

Counts

12 → 379

Calls

Call 1

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

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

simplify182.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1246×	`fma-def`
974×	`associate-r`
906×	`associate-l`
390×	`distribute-rgt-in`
386×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	798	16449
1	1977	15019

Stop Event

1×	node limit

Counts

523 → 478

Calls

Call 1

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

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

eval197.0ms (2.4%)

Compiler: Compiled 10773 to 6814 computations (36.7% saved)

prune139.0ms (1.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	537	7	544
Fresh	0	3	3
Picked	3	2	5
Done	0	1	1
Total	540	13	553

Accurracy

100.0%

Counts

553 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.6%	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
▶	88.3%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	88.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	80.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	48.0%	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
	43.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	72.5%	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 (+.f64 1/2 (*.f64 -1 y)) x)))
	39.7%	(*.f64 (-.f64 1/2 y) x)
▶	8.5%	(.f64 (.f64 1/8 x) x)
▶	32.4%	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
✓	58.0%	(*.f64 x (neg.f64 y))
	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.6%	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
▶	88.3%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	88.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	80.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	48.0%	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
	43.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	72.5%	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 (+.f64 1/2 (*.f64 -1 y)) x)))
	39.7%	(*.f64 (-.f64 1/2 y) x)
▶	8.5%	(.f64 (.f64 1/8 x) x)
▶	32.4%	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
✓	58.0%	(*.f64 x (neg.f64 y))

Compiler

Compiled 470 to 368 computations (21.7% saved)

localize363.0ms (4.4%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.5%	(log.f64 (sqrt.f64 2))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
✓	100.0%	(+.f64 1 (log1p.f64 (exp.f64 x)))
✓	100.0%	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
	99.2%	(log1p.f64 (exp.f64 x))
✓	98.7%	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)

Compiler

Compiled 112 to 64 computations (42.9% saved)

series10.0ms (0.1%)

Counts

7 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
0.0ms	x	@	inf	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
0.0ms	x	@	-inf	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
0.0ms	y	@	0	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`add-sqr-sqrt`
572×	`pow1`
570×	`*-un-lft-identity`
552×	`add-exp-log`
548×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	137
1	574	109

Stop Event

1×	node limit

Counts

7 → 271

Calls

Call 1

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

Outputs
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 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))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) (+.f64 (log1p.f64 (exp.f64 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) (+.f64 (log1p.f64 (exp.f64 x)) -1)) (+.f64 (log1p.f64 (exp.f64 x)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) (+.f64 (log1p.f64 (exp.f64 x)) -1))) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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 1 (exp.f64 x)))
(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))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(+.f64 1 (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) (*.f64 y (neg.f64 x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 1 (*.f64 x y))))
(+.f64 1 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) (*.f64 x y)))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (neg.f64 (+.f64 1 (*.f64 x y))))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 -1 (*.f64 y (neg.f64 x))))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 -1 (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 y (neg.f64 x)) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 1 (+.f64 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x))) (.f64 (log1p.f64 (exp.f64 x)) (.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (+.f64 1 (.f64 x y)) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (.f64 (+.f64 1 (.f64 x y)) (+.f64 1 (.f64 x y))) (.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (.f64 (+.f64 1 (.f64 x y)) (+.f64 1 (.f64 x y)))) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (.f64 x y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (+.f64 1 (*.f64 x y))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (log1p.f64 (exp.f64 x))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (-.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (log1p.f64 (exp.f64 x))))
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simplify198.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-def`
640×	`associate-r`
624×	`div-sub`
614×	`associate-l`
594×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	532	11339
1	1396	10499
2	6310	10499

Stop Event

1×	node limit

Counts

391 → 329

Calls

Call 1

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

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

eval140.0ms (1.7%)

Compiler: Compiled 6265 to 3436 computations (45.2% saved)

prune78.0ms (0.9%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	366	6	372
Fresh	2	3	5
Picked	2	3	5
Done	0	3	3
Total	370	15	385

Accurracy

100.0%

Counts

385 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
	13.8%	(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
▶	80.2%	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
	88.3%	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	88.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	80.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	73.7%	(+.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))
▶	31.2%	(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8)))
▶	43.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	39.7%	(*.f64 (-.f64 1/2 y) x)
	8.6%	(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
✓	8.5%	(.f64 (.f64 1/8 x) x)
✓	32.4%	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
✓	58.0%	(*.f64 x (neg.f64 y))
▶	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
	13.8%	(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
▶	80.2%	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
	88.3%	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	88.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	80.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	73.7%	(+.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))
▶	31.2%	(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8)))
▶	43.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	39.7%	(*.f64 (-.f64 1/2 y) x)
	8.6%	(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
✓	8.5%	(.f64 (.f64 1/8 x) x)
✓	32.4%	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
✓	58.0%	(*.f64 x (neg.f64 y))

Compiler

Compiled 594 to 442 computations (25.6% saved)

localize150.0ms (1.8%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
✓	100.0%	(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
✓	99.1%	(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
✓	100.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	96.9%	(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8)))
	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(fma.f64 x (neg.f64 y) (log.f64 2))

Compiler

Compiled 121 to 84 computations (30.6% saved)

series3.0ms (0%)

Counts

7 → 120

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 x (neg.f64 y) (log.f64 2))
0.0ms	y	@	0	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
0.0ms	x	@	0	(+.f64 (*.f64 1/2 x) (log.f64 2))
0.0ms	y	@	-inf	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
0.0ms	x	@	inf	(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8)))

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`add-sqr-sqrt`
576×	`pow1`
576×	`*-un-lft-identity`
552×	`add-exp-log`
552×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	137
1	573	121

Stop Event

1×	node limit

Counts

7 → 281

Calls

Call 1

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

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

simplify156.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1774×	`fma-neg`
1020×	`fma-def`
610×	`log-prod`
512×	`associate-r`
446×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	551	12625
1	1456	12023
2	5727	12003

Stop Event

1×	node limit

Counts

401 → 365

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

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

eval191.0ms (2.3%)

Compiler: Compiled 7208 to 5327 computations (26.1% saved)

prune163.0ms (2%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	380	8	388
Fresh	0	4	4
Picked	2	3	5
Done	0	6	6
Total	382	21	403

Accurracy

100.0%

Counts

403 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
	13.8%	(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
	25.1%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
	88.3%	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
	80.1%	(-.f64 (+.f64 (+.f64 (log.f64 2) 1) (-.f64 (.f64 x 1/2) 1)) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	88.9%	(-.f64 (log.f64 2) (*.f64 x y))
	2.4%	(+.f64 (/.f64 (.f64 x (+.f64 1/4 (.f64 y y))) (+.f64 1/2 y)) (.f64 x (.f64 x 1/8)))
	2.5%	(+.f64 (/.f64 x (/.f64 (+.f64 y 1/2) (+.f64 1/4 (.f64 y y)))) (.f64 x (*.f64 x 1/8)))
✓	80.8%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	73.7%	(+.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))
	8.6%	(+.f64 (.f64 x 1/2) (.f64 x (*.f64 x 1/8)))
✓	43.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	39.7%	(*.f64 (-.f64 1/2 y) x)
	8.6%	(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
✓	8.5%	(.f64 (.f64 1/8 x) x)
✓	32.4%	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
	7.0%	(.f64 x (+.f64 (+.f64 1/2 y) (.f64 x 1/8)))
✓	58.0%	(*.f64 x (neg.f64 y))
	3.8%	(*.f64 1/2 x)
	42.3%	(log.f64 2)

Compiler

Compiled 570 to 389 computations (31.8% saved)

regimes63.0ms (0.8%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	y
15.0ms	x
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 344 to 222 computations (35.5% saved)

regimes82.0ms (1%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
15.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 316 to 211 computations (33.2% saved)

regimes107.0ms (1.3%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

89.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
99.3%	2	`x`
89.0%	1	`y`

Compiler

Compiled 216 to 143 computations (33.8% saved)

regimes35.0ms (0.4%)

Counts

16 → 2

Calls

Call 1

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

17.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 161 to 105 computations (34.8% saved)

regimes136.0ms (1.6%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

72.0ms	y
59.0ms	x

Results

Accuracy	Segments	Branch
69.9%	7	`y`
86.5%	3	`x`

Compiler

Compiled 158 to 103 computations (34.8% saved)

regimes21.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
58.0%	1	`y`
58.0%	1	`x`

Compiler

Compiled 150 to 96 computations (36% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-6.7900350193303805	-0.07300372795500963

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 142 to 110 computations (22.5% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-407.0617320733329	-6.7900350193303805

Results

15.0ms	107×	body	256	valid
1.0ms	5×	body	512	valid

Compiler

Compiled 128 to 96 computations (25% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.339405308624838e-28	2.816795498404112e-26
18.0ms	-2.346803627401115e-95	-1.4165010918796797e-103

Results

31.0ms

256×

body

256

valid

Compiler

Compiled 243 to 200 computations (17.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	199
1	62	199
2	72	199
3	77	199
4	79	199

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -70) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -468956982928279/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (.f64 x (neg.f64 y)) (if (<=.f64 x 6690223559559187/2787593149816327892691964784081045188247552) (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (neg.f64 (.f64 x y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -70) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -70) (neg.f64 (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -468956982928279/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (.f64 x (neg.f64 y)) (if (<=.f64 x 6690223559559187/2787593149816327892691964784081045188247552) (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))))
(if (<=.f64 x -468956982928279/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (neg.f64 (.f64 x y)) (if (<=.f64 x 6690223559559187/2787593149816327892691964784081045188247552) (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 x y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 88 to 61 computations (30.7% saved)

soundness705.0ms (8.6%)

Rules

1340×	`fma-def`
1340×	`fma-def`
1246×	`fma-def`
1202×	`fma-neg`
974×	`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
0	519	9877
1	1260	9639
2	3640	9489
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	798	16449
1	1977	15019

Stop Event

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

Compiler

Compiled 140 to 82 computations (41.4% saved)

end0.0ms (0%)

preprocess75.0ms (0.9%)

Compiler: Compiled 230 to 136 computations (40.9% saved)

analyze42.0ms (0.5%)

sample3.0s (36.9%)

preprocess92.0ms (1.1%)

simplify78.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize53.0ms (0.6%)

series49.0ms (0.6%)

rewrite119.0ms (1.4%)

simplify153.0ms (1.9%)

eval71.0ms (0.9%)

prune57.0ms (0.7%)

localize818.0ms (9.9%)

series94.0ms (1.1%)

rewrite121.0ms (1.5%)

simplify182.0ms (2.2%)

eval197.0ms (2.4%)

prune139.0ms (1.7%)

localize363.0ms (4.4%)

series10.0ms (0.1%)

rewrite80.0ms (1%)

simplify198.0ms (2.4%)

eval140.0ms (1.7%)

prune78.0ms (0.9%)

localize150.0ms (1.8%)

series3.0ms (0%)

rewrite78.0ms (0.9%)

simplify156.0ms (1.9%)

eval191.0ms (2.3%)

prune163.0ms (2%)

regimes63.0ms (0.8%)

regimes82.0ms (1%)

regimes107.0ms (1.3%)

regimes35.0ms (0.4%)

regimes136.0ms (1.6%)

regimes21.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch34.0ms (0.4%)

simplify10.0ms (0.1%)

soundness705.0ms (8.6%)

end0.0ms (0%)

preprocess75.0ms (0.9%)

Profiling