Metrics for Logistic regression 2

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.2s (40.9%)

Results

1.9s	2256×	body	8192	exit
1.0s	6876×	body	256	valid
123.0ms	963×	body	256	infinite
98.0ms	204×	body	1024	valid
77.0ms	212×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess95.0ms (1.2%)

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)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

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

99.6%

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize62.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series53.0ms (0.7%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
20.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	inf	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite124.0ms (1.6%)

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)))))

simplify167.0ms (2.1%)

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)))

eval75.0ms (1%)

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

prune67.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	295	5	300
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	295	7	302

Accurracy

100.0%

Counts

302 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	90.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.9%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	85.6%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	55.4%	(*.f64 x (neg.f64 y))
✓	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	90.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.9%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	85.6%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	55.4%	(*.f64 x (neg.f64 y))

Compiler

Compiled 220 to 164 computations (25.5% saved)

localize502.0ms (6.3%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (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%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	98.6%	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 104 to 58 computations (44.2% saved)

series271.0ms (3.4%)

Counts

8 → 111

Calls

39 calls:

Time	Variable		Point	Expression
230.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
28.0ms	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))
2.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	x	@	0	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite135.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`expm1-udef`
780×	`log1p-udef`
512×	`add-sqr-sqrt`
498×	`pow1`
498×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	148
1	502	120
2	6999	120

Stop Event

1×	node limit

Counts

8 → 272

Calls

Call 1

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

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

simplify168.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-neg`
898×	`log-prod`
710×	`fma-def`
510×	`associate-r`
494×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	10951
1	1348	9681
2	5366	9661

Stop Event

1×	node limit

Counts

383 → 357

Calls

Call 1

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

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

eval136.0ms (1.7%)

Compiler: Compiled 6410 to 3901 computations (39.1% saved)

prune88.0ms (1.1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	353	4	357
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	354	10	364

Accurracy

100.0%

Counts

364 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	90.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	90.2%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	85.6%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	46.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	41.5%	(*.f64 (-.f64 1/2 y) x)
✓	55.4%	(*.f64 x (neg.f64 y))
▶	45.6%	(log.f64 2)
✓	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	90.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	90.2%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	85.6%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	46.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	41.5%	(*.f64 (-.f64 1/2 y) x)
✓	55.4%	(*.f64 x (neg.f64 y))
▶	45.6%	(log.f64 2)

Compiler

Compiled 160 to 122 computations (23.8% saved)

localize106.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 56 to 41 computations (26.8% saved)

series5.0ms (0.1%)

Counts

3 → 27

Calls

9 calls:

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

rewrite113.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`log-prod`
1404×	`fma-def`
644×	`pow-exp`
538×	`expm1-udef`
534×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	324	39
2	4320	39

Stop Event

1×	node limit

Counts

3 → 246

Calls

Call 1

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

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

simplify125.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1372×	`distribute-lft-in`
1060×	`unswap-sqr`
770×	`fma-neg`
748×	`cancel-sign-sub-inv`
454×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	6699
1	1046	6439
2	3153	6291

Stop Event

1×	node limit

Counts

273 → 278

Calls

Call 1

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

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

eval139.0ms (1.8%)

Compiler: Compiled 4762 to 2802 computations (41.2% saved)

prune109.0ms (1.4%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	297	7	304
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	298	16	314

Accurracy

100.0%

Counts

314 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	90.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
	2.2%	(/.f64 (+.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
▶	2.3%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	85.6%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	41.5%	(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
✓	46.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	41.5%	(*.f64 (-.f64 1/2 y) x)
▶	2.5%	(*.f64 x (+.f64 1/2 y))
✓	55.4%	(*.f64 x (neg.f64 y))
▶	3.7%	(*.f64 1/2 x)
	60.2%	(log.f64 (/.f64 2 (exp.f64 (*.f64 x y))))
▶	60.2%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
✓	45.6%	(log.f64 2)
✓	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	90.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
	2.2%	(/.f64 (+.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
▶	2.3%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	85.6%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	41.5%	(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
✓	46.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	41.5%	(*.f64 (-.f64 1/2 y) x)
▶	2.5%	(*.f64 x (+.f64 1/2 y))
✓	55.4%	(*.f64 x (neg.f64 y))
▶	3.7%	(*.f64 1/2 x)
	60.2%	(log.f64 (/.f64 2 (exp.f64 (*.f64 x y))))
▶	60.2%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
✓	45.6%	(log.f64 2)

Compiler

Compiled 410 to 304 computations (25.9% saved)

localize314.0ms (4%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
✓	96.6%	(.f64 (+.f64 1/4 (.f64 y y)) x)
✓	100.0%	(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
✓	99.9%	(exp.f64 (*.f64 x (neg.f64 y)))
✓	98.9%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))

Compiler

Compiled 105 to 49 computations (53.3% saved)

series131.0ms (1.7%)

Counts

5 → 111

Calls

30 calls:

Time	Variable		Point	Expression
73.0ms	y	@	-inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
20.0ms	y	@	inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
17.0ms	x	@	inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
13.0ms	x	@	-inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
1.0ms	y	@	-inf	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))

rewrite120.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`fma-def`
740×	`expm1-udef`
734×	`log1p-udef`
472×	`add-sqr-sqrt`
458×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	105
1	497	79
2	6526	79

Stop Event

1×	node limit

Counts

5 → 280

Calls

Call 1

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

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

simplify131.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1106×	`fma-neg`
750×	`log-prod`
582×	`associate-r`
520×	`associate-l`
512×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	620	9141
1	1591	8535
2	5677	8527

Stop Event

1×	node limit

Counts

391 → 410

Calls

Call 1

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

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

eval114.0ms (1.4%)

Compiler: Compiled 5960 to 3463 computations (41.9% saved)

prune75.0ms (0.9%)

Pruning

22 alts after pruning (9 fresh and 13 done)

	Pruned	Kept	Total
New	402	8	410
Fresh	1	1	2
Picked	1	4	5
Done	0	9	9
Total	404	22	426

Accurracy

100.0%

Counts

426 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	90.9%	(fma.f64 x (neg.f64 y) (log.f64 2))
	2.2%	(/.f64 (+.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
✓	2.3%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
	2.7%	(/.f64 (*.f64 x 1/4) (+.f64 y 1/2))
	41.5%	(-.f64 (.f64 x 1/2) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	85.6%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	11.5%	(+.f64 (.f64 y (.f64 y (.f64 x 4))) (.f64 x (-.f64 1/2 y)))
✓	46.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	2.2%	(+.f64 (.f64 -1/2 x) (+.f64 (.f64 y x) (.f64 -1 (/.f64 (-.f64 (.f64 -1/4 x) (*.f64 1/4 x)) y))))
	2.2%	(+.f64 (.f64 -1/2 x) (.f64 y x))
✓	41.5%	(*.f64 (-.f64 1/2 y) x)
	2.1%	(*.f64 y x)
	2.2%	(*.f64 x (+.f64 y -1/2))
✓	2.5%	(*.f64 x (+.f64 1/2 y))
✓	55.4%	(*.f64 x (neg.f64 y))
✓	3.7%	(*.f64 1/2 x)
	55.4%	(log.f64 (.f64 (+.f64 (.f64 (neg.f64 y) x) 1) 2))
✓	60.2%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
✓	45.6%	(log.f64 2)

Compiler

Compiled 410 to 268 computations (34.6% saved)

regimes50.0ms (0.6%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
12.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 224 to 132 computations (41.1% saved)

regimes48.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	y
11.0ms	x
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 205 to 124 computations (39.5% saved)

regimes56.0ms (0.7%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	y
25.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`x`
93.4%	3	`y`

Compiler

Compiled 161 to 99 computations (38.5% saved)

regimes23.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

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

16.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 128 to 78 computations (39.1% saved)

regimes77.0ms (1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	y
27.0ms	x

Results

Accuracy	Segments	Branch
75.9%	5	`y`
85.7%	3	`x`

Compiler

Compiled 125 to 77 computations (38.4% saved)

regimes46.0ms (0.6%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

43.0ms

Results

Accuracy	Segments	Branch
85.7%	3	`x`

Compiler

Compiled 116 to 70 computations (39.7% saved)

regimes24.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
55.4%	1	`y`
55.4%	1	`x`

Compiler

Compiled 117 to 70 computations (40.2% saved)

regimes7.0ms (0.1%)

Accuracy

Total -1.3b remaining (-2.1%)

Threshold costs -1.3b (-2.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-10627008982555107000.0	-2091697108772113000.0

Results

10.0ms	62×	body	256	valid
8.0ms	19×	body	1024	valid
3.0ms	13×	body	512	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 124 to 96 computations (22.6% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-1.4924635881719832e+43	-8.11628738627718e+41

Results

10.0ms	77×	body	256	valid
8.0ms	21×	body	1024	valid
2.0ms	10×	body	512	valid
1.0ms	4×	body	256	infinite

Compiler

Compiled 128 to 96 computations (25% saved)

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	5.141457449416345e-15	4.279803494737892e-11
12.0ms	-1.40204827151413e-187	-2.273599951936683e-188

Results

42.0ms

224×

body

256

valid

Compiler

Compiled 248 to 202 computations (18.5% saved)

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.141457449416345e-15	4.279803494737892e-11
11.0ms	-1.40204827151413e-187	-2.273599951936683e-188

Results

25.0ms

224×

body

256

valid

Compiler

Compiled 192 to 160 computations (16.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	246
1	61	246
2	71	246
3	76	246
4	78	246

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -2100000000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -820000000000000070849635476370209323876352) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -171460915873007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (.f64 x (neg.f64 y)) (if (<=.f64 x 1663791412799551/158456325028528675187087900672) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -171460915873007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (.f64 x (neg.f64 y)) (if (<=.f64 x 6338253001141147/633825300114114700748351602688) (log.f64 2) (.f64 (-.f64 1/2 y) 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 -2100000000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -2100000000000000000) (neg.f64 (.f64 x y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -2100000000000000000) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -820000000000000070849635476370209323876352) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -820000000000000070849635476370209323876352) (neg.f64 (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -820000000000000070849635476370209323876352) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -171460915873007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (.f64 x (neg.f64 y)) (if (<=.f64 x 1663791412799551/158456325028528675187087900672) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -171460915873007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (neg.f64 (.f64 x y)) (if (<=.f64 x 1663791412799551/158456325028528675187087900672) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -171460915873007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (.f64 y (neg.f64 x)) (if (<=.f64 x 1663791412799551/158456325028528675187087900672) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -171460915873007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (.f64 x (neg.f64 y)) (if (<=.f64 x 6338253001141147/633825300114114700748351602688) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -171460915873007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (neg.f64 (.f64 x y)) (if (<=.f64 x 6338253001141147/633825300114114700748351602688) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -171460915873007/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (.f64 y (neg.f64 x)) (if (<=.f64 x 6338253001141147/633825300114114700748351602688) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 109 to 77 computations (29.4% saved)

soundness578.0ms (7.3%)

Rules

1340×	`fma-def`
1340×	`fma-def`
1202×	`fma-neg`
812×	`unswap-sqr`
786×	`fabs-mul`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 96 to 52 computations (45.8% saved)

end0.0ms (0%)

preprocess122.0ms (1.5%)

Compiler: Compiled 268 to 160 computations (40.3% saved)

analyze0.0ms (0%)

sample3.2s (40.9%)

preprocess95.0ms (1.2%)

simplify80.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize62.0ms (0.8%)

series53.0ms (0.7%)

rewrite124.0ms (1.6%)

simplify167.0ms (2.1%)

eval75.0ms (1%)

prune67.0ms (0.8%)

localize502.0ms (6.3%)

series271.0ms (3.4%)

rewrite135.0ms (1.7%)

simplify168.0ms (2.1%)

eval136.0ms (1.7%)

prune88.0ms (1.1%)

localize106.0ms (1.3%)

series5.0ms (0.1%)

rewrite113.0ms (1.4%)

simplify125.0ms (1.6%)

eval139.0ms (1.8%)

prune109.0ms (1.4%)

localize314.0ms (4%)

series131.0ms (1.7%)

rewrite120.0ms (1.5%)

simplify131.0ms (1.7%)

eval114.0ms (1.4%)

prune75.0ms (0.9%)

regimes50.0ms (0.6%)

regimes48.0ms (0.6%)

regimes56.0ms (0.7%)

regimes23.0ms (0.3%)

regimes77.0ms (1%)

regimes46.0ms (0.6%)

regimes24.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch23.0ms (0.3%)

bsearch23.0ms (0.3%)

bsearch46.0ms (0.6%)

bsearch27.0ms (0.3%)

simplify11.0ms (0.1%)

soundness578.0ms (7.3%)

end0.0ms (0%)

preprocess122.0ms (1.5%)

Profiling