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)

sample4.0s (33.3%)

Results

2.2s	2181×	body	8192	exit
1.4s	6819×	body	256	valid
151.0ms	221×	body	512	valid
143.0ms	1017×	body	256	infinite
86.0ms	199×	body	1024	valid

Bogosity

preprocess301.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1022×	`fma-def`
1010×	`times-frac`
722×	`fabs-mul`
596×	`fma-neg`
594×	`*-commutative`

Problems

254×	No Errors
2×	`(log.f64 (+.f64 1 (exp.f64 x)))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	113
1	63	109
2	90	101
3	194	101
4	330	101
5	568	101
6	989	101
7	2261	101
8	4378	101
9	6348	101

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 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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(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 40 to 23 computations (42.5% saved)

eval1.0ms (0%)

Compiler: Compiled 38 to 18 computations (52.6% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize59.0ms (0.5%)

Localize:

Found 8 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series56.0ms (0.5%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
23.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

rewrite182.0ms (1.5%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1570×	`associate-/l*`
1080×	`associate-/r*`
1036×	`fma-neg`
808×	`*-commutative`
554×	`flip-+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	40	60
2	243	60
3	2208	60

Stop Event

1×	node limit

Counts

4 → 373

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 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) 0)
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (-.f64 (log1p.f64 (neg.f64 (exp.f64 x))) 0))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (+.f64 (log1p.f64 (neg.f64 (exp.f64 x))) 0))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (-.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 0))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (+.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 0))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 0) (log1p.f64 (exp.f64 x)))
(/.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)))) (.f64 (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (exp.f64 x))))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (pow.f64 (exp.f64 x) 3))) (.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(log.f64 (+.f64 (exp.f64 x) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (/.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 (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(+.f64 (neg.f64 (/.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 (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 (/.f64 (pow.f64 (*.f64 x y) 2) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(.f64 -1 (neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(.f64 1 (-.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 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 -1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))))
(.f64 (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)))
(.f64 (/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 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 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))
(.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(.f64 (/.f64 -1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (/.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 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (/.f64 -1 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (/.f64 (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 -1 (neg.f64 (/.f64 -1 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 -1 (/.f64 (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 -1 (/.f64 (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 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 -1 (-.f64 (*.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 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.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 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (-.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)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
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(/.f64 (-.f64 (.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 (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 (neg.f64 (/.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)))) (neg.f64 (/.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)) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (/.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 0 (.f64 (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))) (+.f64 0 (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) 2) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (/.f64 (pow.f64 (.f64 x y) 2) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (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 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 -1 (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (/.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)) 6) (pow.f64 (.f64 x y) 6)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (/.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)) 9) (pow.f64 (.f64 x y) 9)))) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))))
(/.f64 (/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)))
(/.f64 (/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)))) (+.f64 (pow.f64 (.f64 x y) 4) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) -1) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (+.f64 (pow.f64 (.f64 x y) 4) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9) (pow.f64 (.f64 x y) 9)) (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 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) -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 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.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))))) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.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)))) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (/.f64 -1 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) -1)
(neg.f64 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(neg.f64 (neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))

Calls

12 calls:

1.0ms	(log1p.f64 (exp.f64 x))
0.0ms	(log1p.f64 (exp.f64 x))
0.0ms	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	(log1p.f64 (exp.f64 x))
0.0ms	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

simplify310.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

886×	`+-commutative`
742×	`fma-neg`
526×	`associate-/l*`
507×	`associate-r`
466×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	553	24277
1	1455	23517
2	5868	23509

Stop Event

1×	node limit

Counts

445 → 283

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 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 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 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 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 -1 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (+.f64 1/2 (.f64 -1 y))))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) 0)
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (-.f64 (log1p.f64 (neg.f64 (exp.f64 x))) 0))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (+.f64 (log1p.f64 (neg.f64 (exp.f64 x))) 0))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (-.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 0))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (+.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 0))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 0) (log1p.f64 (exp.f64 x)))
(/.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)))) (.f64 (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (exp.f64 x))))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (pow.f64 (exp.f64 x) 3))) (.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (expm1.f64 (log1p.f64 (exp.f64 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (+.f64 (pow.f64 (.f64 x y) 4) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9) (pow.f64 (.f64 x y) 9)) (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 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) -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 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.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))))) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.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)))) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (/.f64 -1 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) -1)
(neg.f64 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(neg.f64 (neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(pow.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))) (cbrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))))) (cbrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (.f64 (.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))) (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(log.f64 (exp.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(binary32->binary64 (fma.f32 (binary64->binary32 x) (neg.f32 (binary64->binary32 y)) (log1p.f32 (exp.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (log1p.f32 (exp.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(binary32->binary64 (fma.f32 (binary64->binary32 x) (neg.f32 (binary64->binary32 y)) (log1p.f32 (exp.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (log1p.f32 (exp.f32 (binary64->binary32 x))))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (.f64 x x) (.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (.f64 x x) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (.f64 x (.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (.f64 x x) (.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.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 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (.f64 x x) (.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 -1 y))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (.f64 x x) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (.f64 x (.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (+.f64 1/2 (.f64 -1 y))))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (.f64 x x) (.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.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 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 2) x))) (log1p.f64 (neg.f64 (exp.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 2) x))) (log1p.f64 (neg.f64 (exp.f64 x))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 2) x))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))
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(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (neg.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.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)) 6) (pow.f64 (.f64 x y) 6)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (/.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)) 9) (pow.f64 (.f64 x y) 9)))) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9) (pow.f64 (.f64 x y) 9)) (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 (.f64 x y) (log1p.f64 (exp.f64 x))) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9) (pow.f64 (.f64 x y) 9)) (.f64 (fma.f64 x (.f64 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)) 6) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 3)))))
(/.f64 (/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)))) (+.f64 (pow.f64 (.f64 x y) 4) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 4))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (+.f64 (pow.f64 (.f64 x y) 4) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (+.f64 (pow.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 2) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) -1) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (+.f64 (pow.f64 (.f64 x y) 4) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 4))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (+.f64 (pow.f64 (.f64 x y) 4) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (+.f64 (pow.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 2) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9) (pow.f64 (.f64 x y) 9)) (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 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9) (pow.f64 (.f64 x y) 9)) (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 (.f64 x y) (log1p.f64 (exp.f64 x))) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9) (pow.f64 (.f64 x y) 9)) (.f64 (fma.f64 x (.f64 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)) 6) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) -1) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (neg.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (.f64 (/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6))) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.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))))) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.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)))) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (/.f64 -1 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) -1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 1 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 (.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))) (cbrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))))) (cbrt.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (.f64 (.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))) (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (exp.f64 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (fma.f32 (binary64->binary32 x) (neg.f32 (binary64->binary32 y)) (log1p.f32 (exp.f32 (binary64->binary32 x)))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (log1p.f32 (exp.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (fma.f32 (binary64->binary32 x) (neg.f32 (binary64->binary32 y)) (log1p.f32 (exp.f32 (binary64->binary32 x)))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (log1p.f32 (exp.f32 (binary64->binary32 x))))

eval129.0ms (1.1%)

Compiler: Compiled 10462 to 3623 computations (65.4% saved)

prune55.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	334	5	339
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	335	6	341

Accuracy

99.7%

Counts

341 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.9%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	50.9%	(*.f64 x (neg.f64 y))
▶	81.7%	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
▶	89.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.9%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	50.9%	(*.f64 x (neg.f64 y))
▶	81.7%	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))

Compiler

Compiled 190 to 140 computations (26.3% saved)

localize207.0ms (1.7%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	98.1%	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
	98.4%	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
	99.6%	(log1p.f64 (exp.f64 x))
	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
	100.0%	(*.f64 x (-.f64 1/2 y))
	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
	100.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	99.6%	(log1p.f64 (exp.f64 x))
✓	98.4%	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
✓	98.1%	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(fma.f64 x (neg.f64 y) (log.f64 2))

Compiler

Compiled 94 to 38 computations (59.6% saved)

series14.0ms (0.1%)

Counts

6 → 123

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(fma.f64 x (neg.f64 y) (log.f64 2))
1.0ms	x	@	-inf	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
1.0ms	y	@	0	(fma.f64 x (neg.f64 y) (log.f64 2))
1.0ms	y	@	inf	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	x	@	inf	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

rewrite236.0ms (2%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

2000×	`flip-+`
512×	`frac-times`
402×	`associate-r`
358×	`associate-*r/`
312×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	116
1	92	112
2	673	112
3	7710	112

Stop Event

1×	node limit

Counts

6 → 420

Calls

Call 1

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

Outputs
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 2))
(+.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log.f64 2)))))
(+.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 0 (-.f64 (*.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 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(-.f64 (+.f64 (log.f64 2) 0) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (neg.f64 (fma.f64 x y (log.f64 2)))) (/.f64 (pow.f64 (log.f64 2) 2) (neg.f64 (fma.f64 x y (log.f64 2)))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))
(.f64 (fma.f64 x y (log.f64 2)) (.f64 (-.f64 (log.f64 2) (*.f64 x y)) (/.f64 1 (fma.f64 x y (log.f64 2)))))
(.f64 1 (-.f64 (log.f64 2) (.f64 x y)))
(.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (neg.f64 (fma.f64 x y (log.f64 2)))))
(.f64 (/.f64 1 (fma.f64 x y (log.f64 2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)))
(.f64 (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)))
(.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 2) 2)) (pow.f64 (.f64 x y) 2)) (/.f64 1 (neg.f64 (fma.f64 x y (log.f64 2)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3))) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2))) (-.f64 (log.f64 2) (.f64 x y)))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log.f64 2)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (.f64 x (.f64 y (fma.f64 x y (log.f64 2)))) 2))) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 y (fma.f64 x y (log.f64 2))))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (.f64 x (.f64 y (fma.f64 x y (log.f64 2)))) 3))) (+.f64 (pow.f64 (log.f64 2) 4) (.f64 (.f64 x (.f64 y (fma.f64 x y (log.f64 2)))) (-.f64 (.f64 x (*.f64 y (fma.f64 x y (log.f64 2)))) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(/.f64 (fma.f64 x y (log.f64 2)) (/.f64 (fma.f64 x y (log.f64 2)) (-.f64 (log.f64 2) (*.f64 x y))))
(/.f64 -1 (neg.f64 (/.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 1 (/.f64 1 (-.f64 (log.f64 2) (*.f64 x y))))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(/.f64 1 (/.f64 (neg.f64 (fma.f64 x y (log.f64 2))) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (fma.f64 x y (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (.f64 x y) 4)) (.f64 (fma.f64 x y (log.f64 2)) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (.f64 x y) 6)) (.f64 (fma.f64 x y (log.f64 2)) (+.f64 (pow.f64 (log.f64 2) 4) (+.f64 (pow.f64 (.f64 x y) 4) (pow.f64 (.f64 x (*.f64 y (log.f64 2))) 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (.f64 x y) 6)) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 9) (pow.f64 (.f64 x y) 9)) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 6) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 x (.f64 y (log.f64 2))) 3)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 2) 2)) (pow.f64 (*.f64 x y) 2)) (neg.f64 (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 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2)))) (.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log.f64 2))) (/.f64 (pow.f64 (.f64 x y) 2) (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 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))) (.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))) (+.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) 1) (fma.f64 x y (log.f64 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) 1) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (.f64 x y) 4)) (/.f64 1 (fma.f64 x y (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (.f64 x y) 6)) (/.f64 1 (fma.f64 x y (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 4) (+.f64 (pow.f64 (.f64 x y) 4) (pow.f64 (.f64 x (*.f64 y (log.f64 2))) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (.f64 x y) 6)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 9) (pow.f64 (.f64 x y) 9)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))) (+.f64 (pow.f64 (log.f64 2) 6) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 x (.f64 y (log.f64 2))) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) 3) (pow.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log.f64 2))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2)))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log.f64 2))) (/.f64 (pow.f64 (.f64 x y) 2) (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 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) 3) (pow.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))) (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) (.f64 (fma.f64 x y (log.f64 2)) (pow.f64 (.f64 x y) 2))) (.f64 (fma.f64 x y (log.f64 2)) (fma.f64 x y (log.f64 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (pow.f64 (.f64 x y) 3))) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (.f64 x y) 4)) 1) (.f64 (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (fma.f64 x y (log.f64 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (.f64 x y) 6)) 1) (.f64 (+.f64 (pow.f64 (log.f64 2) 4) (+.f64 (pow.f64 (.f64 x y) 4) (pow.f64 (.f64 x (.f64 y (log.f64 2))) 2))) (fma.f64 x y (log.f64 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (.f64 x y) 6)) 1) (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 9) (pow.f64 (.f64 x y) 9)) 1) (.f64 (+.f64 (pow.f64 (log.f64 2) 6) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 x (.f64 y (log.f64 2))) 3))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (neg.f64 (fma.f64 x y (log.f64 2)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 2) 2)) (pow.f64 (*.f64 x y) 2))) (neg.f64 (neg.f64 (fma.f64 x y (log.f64 2)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2)))) (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log.f64 2)))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log.f64 2)))))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log.f64 2))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))) (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))))
(pow.f64 (/.f64 1 (-.f64 (log.f64 2) (*.f64 x y))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (fma.f64 x y (log.f64 2)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 2))
(+.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log.f64 2)))))
(+.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))
(.f64 (fma.f64 x y (log.f64 2)) (.f64 (-.f64 (log.f64 2) (*.f64 x y)) (/.f64 1 (fma.f64 x y (log.f64 2)))))
(.f64 1 (-.f64 (log.f64 2) (.f64 x y)))
(.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (neg.f64 (fma.f64 x y (log.f64 2)))))
(.f64 (/.f64 1 (fma.f64 x y (log.f64 2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)))
(.f64 (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)))
(.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 2) 2)) (pow.f64 (.f64 x y) 2)) (/.f64 1 (neg.f64 (fma.f64 x y (log.f64 2)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) 2) (+.f64 2 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (pow.f64 (*.f64 x y) 2))) (neg.f64 (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) 0) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 0))
(/.f64 (-.f64 1 (.f64 (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1))) (-.f64 1 (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)))
(/.f64 (-.f64 1 (.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) -1) (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) -1))) (-.f64 1 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) -1)))
(/.f64 (-.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (.f64 (+.f64 (.f64 y (neg.f64 x)) -1) (+.f64 (.f64 y (neg.f64 x)) -1))) (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (*.f64 y (neg.f64 x)) -1)))
(/.f64 (-.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (.f64 (-.f64 (.f64 y (neg.f64 x)) 1) (-.f64 (.f64 y (neg.f64 x)) 1))) (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (-.f64 (*.f64 y (neg.f64 x)) 1)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (.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 (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 (neg.f64 (/.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)))) (neg.f64 (/.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)) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (/.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 (.f64 (.f64 1 (log1p.f64 (exp.f64 x))) (.f64 1 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1 (.f64 y (neg.f64 x))) (.f64 1 (.f64 y (neg.f64 x))))) (-.f64 (.f64 1 (log1p.f64 (exp.f64 x))) (.f64 1 (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 1 (.f64 y (neg.f64 x))) (.f64 1 (.f64 y (neg.f64 x)))) (.f64 (.f64 1 (log1p.f64 (exp.f64 x))) (.f64 1 (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 1 (.f64 y (neg.f64 x))) (*.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (.f64 (log1p.f64 (exp.f64 x)) 1)) (.f64 (.f64 (.f64 y (neg.f64 x)) 1) (.f64 (.f64 y (neg.f64 x)) 1))) (-.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (.f64 (*.f64 y (neg.f64 x)) 1)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y (neg.f64 x)) 1) (.f64 (.f64 y (neg.f64 x)) 1)) (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (.f64 (log1p.f64 (exp.f64 x)) 1))) (-.f64 (.f64 (.f64 y (neg.f64 x)) 1) (*.f64 (log1p.f64 (exp.f64 x)) 1)))
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(neg.f64 (/.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)))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))

Calls

20 calls:

1.0ms	(fma.f64 x (neg.f64 y) (log.f64 2))
0.0ms	(fma.f64 x (neg.f64 y) (log.f64 2))
0.0ms	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
0.0ms	(*.f64 x (-.f64 1/2 y))

simplify272.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1454×	`associate-/l*`
1312×	`fma-def`
909×	`*-commutative`
840×	`associate-/r*`
821×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1074	32185
1	3215	31303

Stop Event

1×	node limit

Counts

543 → 544

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (.f64 x (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2))))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2))))))) (.f64 x (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3/4 (/.f64 (-.f64 1/2 y) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2))))))) (.f64 x (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2))))))))
(+.f64 (log.f64 (neg.f64 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (neg.f64 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))))
(+.f64 (log.f64 (neg.f64 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 x y))) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(+.f64 (log.f64 (neg.f64 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 x y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2) (.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3))))))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 y))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) x))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 y))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) x)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 y))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) x)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2) (.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3))))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (/.f64 (.f64 x y) (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))) (+.f64 (.f64 -1 (/.f64 (.f64 x y) (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2)))))
(+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))) (+.f64 (.f64 -1 (/.f64 (.f64 x y) (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2))) (.f64 -1/3 (/.f64 (.f64 (pow.f64 x 3) (pow.f64 y 3)) (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 3))))))
(+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (.f64 -1 (/.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 x y))) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 x y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2) (.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3))))))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 x))) (.f64 -1 (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) y))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) y)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) y)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 2) (.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3))))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
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(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) 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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (+.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)) (pow.f64 (.f64 x (*.f64 y (log1p.f64 (exp.f64 x)))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) (/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9) (pow.f64 (.f64 x y) 9)) (/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) 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 (/.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 (-.f64 (pow.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))) 3) (pow.f64 (/.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))) 3)) (+.f64 (.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 (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 (.f64 (/.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 (pow.f64 (.f64 x y) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (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 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) 2))) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (-.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 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (pow.f64 (.f64 x y) 3))) (.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)) 1) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) 1) (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (.f64 x y) 4)) (pow.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 x y) 6)) 1) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9) (pow.f64 (.f64 x y) 9)) 1) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 x (.f64 y (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 (neg.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) 2) -1)) (neg.f64 (+.f64 2 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) 2) (+.f64 2 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (pow.f64 (*.f64 x y) 2))) (neg.f64 (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) 0) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 0))
(/.f64 (-.f64 1 (.f64 (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1))) (-.f64 1 (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)))
(/.f64 (-.f64 1 (.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) -1) (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) -1))) (-.f64 1 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) -1)))
(/.f64 (-.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (.f64 (+.f64 (.f64 y (neg.f64 x)) -1) (+.f64 (.f64 y (neg.f64 x)) -1))) (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (*.f64 y (neg.f64 x)) -1)))
(/.f64 (-.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (.f64 (-.f64 (.f64 y (neg.f64 x)) 1) (-.f64 (.f64 y (neg.f64 x)) 1))) (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (-.f64 (*.f64 y (neg.f64 x)) 1)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (.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 (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 (neg.f64 (/.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)))) (neg.f64 (/.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)) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (/.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 (.f64 (.f64 1 (log1p.f64 (exp.f64 x))) (.f64 1 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1 (.f64 y (neg.f64 x))) (.f64 1 (.f64 y (neg.f64 x))))) (-.f64 (.f64 1 (log1p.f64 (exp.f64 x))) (.f64 1 (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 1 (.f64 y (neg.f64 x))) (.f64 1 (.f64 y (neg.f64 x)))) (.f64 (.f64 1 (log1p.f64 (exp.f64 x))) (.f64 1 (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 1 (.f64 y (neg.f64 x))) (*.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (.f64 (log1p.f64 (exp.f64 x)) 1)) (.f64 (.f64 (.f64 y (neg.f64 x)) 1) (.f64 (.f64 y (neg.f64 x)) 1))) (-.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (.f64 (*.f64 y (neg.f64 x)) 1)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y (neg.f64 x)) 1) (.f64 (.f64 y (neg.f64 x)) 1)) (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (.f64 (log1p.f64 (exp.f64 x)) 1))) (-.f64 (.f64 (.f64 y (neg.f64 x)) 1) (*.f64 (log1p.f64 (exp.f64 x)) 1)))
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(neg.f64 (/.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)))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(expm1.f64 (log1p.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1)
(.f64 1 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(cbrt.f64 (.f64 (.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(exp.f64 (log.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(log.f64 (exp.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(binary32->binary64 (binary64->binary32 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(binary32->binary64 (binary64->binary32 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(binary32->binary64 (expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log.f64 2))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log.f64 2))))
(binary32->binary64 (fma.f32 (binary64->binary32 x) (neg.f32 (binary64->binary32 y)) (log.f32 2)))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (log1p.f32 (exp.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(binary32->binary64 (binary64->binary32 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(binary32->binary64 (expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(binary32->binary64 (log1p.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y)))))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
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(/.f64 (-.f64 (.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 (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 (neg.f64 (/.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)))) (neg.f64 (/.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)) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (/.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 (+.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)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 x (.f64 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 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 x (.f64 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 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))
(/.f64 (-.f64 (.f64 (.f64 1 (log1p.f64 (exp.f64 x))) (.f64 1 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1 (.f64 y (neg.f64 x))) (.f64 1 (.f64 y (neg.f64 x))))) (-.f64 (.f64 1 (log1p.f64 (exp.f64 x))) (.f64 1 (*.f64 y (neg.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (-.f64 (.f64 (.f64 1 (.f64 y (neg.f64 x))) (.f64 1 (.f64 y (neg.f64 x)))) (.f64 (.f64 1 (log1p.f64 (exp.f64 x))) (.f64 1 (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 1 (.f64 y (neg.f64 x))) (*.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (.f64 (log1p.f64 (exp.f64 x)) 1)) (.f64 (.f64 (.f64 y (neg.f64 x)) 1) (.f64 (.f64 y (neg.f64 x)) 1))) (-.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (.f64 (*.f64 y (neg.f64 x)) 1)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y (neg.f64 x)) 1) (.f64 (.f64 y (neg.f64 x)) 1)) (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (.f64 (log1p.f64 (exp.f64 x)) 1))) (-.f64 (.f64 (.f64 y (neg.f64 x)) 1) (*.f64 (log1p.f64 (exp.f64 x)) 1)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) -1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(neg.f64 (/.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)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (neg.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 1 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (.f64 (.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (exp.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(binary32->binary64 (binary64->binary32 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log.f64 2))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log.f64 2))))
(binary32->binary64 (fma.f32 (binary64->binary32 x) (neg.f32 (binary64->binary32 y)) (log.f32 2)))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y)))))
(binary32->binary64 (fma.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y)) (log.f32 2)))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (log1p.f32 (exp.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(binary32->binary64 (log1p.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y)))))

eval421.0ms (3.5%)

Compiler: Compiled 26398 to 13151 computations (50.2% saved)

prune145.0ms (1.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	790	7	797
Fresh	0	0	0
Picked	2	3	5
Done	1	0	1
Total	793	10	803

Accuracy

99.7%

Counts

803 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	90.5%	(-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)
✓	89.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.7%	(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
▶	49.7%	(+.f64 (log.f64 2) (*.f64 x 1/2))
▶	34.6%	(*.f64 x (-.f64 1/2 y))
✓	50.9%	(*.f64 x (neg.f64 y))
	54.6%	(log1p.f64 (exp.f64 x))
▶	49.3%	(log.f64 2)
	32.9%	(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y)))))
✓	89.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	90.5%	(-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)
✓	89.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.7%	(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
▶	49.7%	(+.f64 (log.f64 2) (*.f64 x 1/2))
▶	34.6%	(*.f64 x (-.f64 1/2 y))
✓	50.9%	(*.f64 x (neg.f64 y))
	54.6%	(log1p.f64 (exp.f64 x))
▶	49.3%	(log.f64 2)
	32.9%	(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y)))))

Compiler

Compiled 292 to 236 computations (19.2% saved)

localize213.0ms (1.8%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	99.7%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	100.0%	(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
	100.0%	(/.f64 1 (-.f64 1/2 y))
	100.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
	100.0%	(*.f64 x (-.f64 1/2 y))
	91.3%	(-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)
	99.2%	(log1p.f64 (exp.f64 x))
	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	100.0%	(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
✓	100.0%	(/.f64 1 (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
✓	99.7%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	99.2%	(log1p.f64 (exp.f64 x))
✓	91.3%	(-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)

Compiler

Compiled 101 to 58 computations (42.6% saved)

series12.0ms (0.1%)

Counts

6 → 120

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	(-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)
0.0ms	y	@	inf	(/.f64 1 (-.f64 1/2 y))
0.0ms	y	@	-inf	(/.f64 1 (-.f64 1/2 y))
0.0ms	x	@	0	(+.f64 (log.f64 2) (*.f64 x 1/2))
0.0ms	y	@	0	(/.f64 1 (-.f64 1/2 y))

rewrite469.0ms (3.9%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1182×	`associate-*r/`
884×	`associate-*l/`
718×	`associate-r`
616×	`associate-l`
484×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	132
1	132	102
2	1110	102

Stop Event

1×	node limit

Counts

6 → 415

Calls

Call 1

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

Outputs
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x (neg.f64 y)) 0))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (neg.f64 (fma.f64 x y -1)) -1))
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 (neg.f64 (fma.f64 x y -1)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 0)
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)))
(+.f64 1 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)) 0))
(+.f64 1 (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)) 0))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) -1)
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)) 1)
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) 0))
(+.f64 (*.f64 x (neg.f64 y)) (-.f64 (log1p.f64 (exp.f64 x)) 0))
(+.f64 -1 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)))
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(/.f64 (-.f64 (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 3)))) (.f64 (+.f64 (log.f64 2) (.f64 x -1/2)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 x 1/4)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3) (.f64 1/512 (pow.f64 (pow.f64 x 3) 3))) (.f64 (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (-.f64 (.f64 1/64 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 (*.f64 x (log.f64 2)) 3) 1/8)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 x 1/4)))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x -1/2))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
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(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 x 1/4))) 1) (+.f64 (log.f64 2) (.f64 x -1/2)))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (log.f64 2) (.f64 x -1/2)))) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 x 1/4))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (.f64 1/64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (log.f64 2) (.f64 x -1/2)))) (+.f64 (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 3))) (.f64 (pow.f64 (log.f64 2) 2) (.f64 x (*.f64 x 1/4))))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (.f64 1/64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))) (-.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3) (.f64 1/512 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (-.f64 (.f64 1/64 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 (*.f64 x (log.f64 2)) 3) 1/8))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 x (neg.f64 y)) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(-.f64 0 (*.f64 x (+.f64 y -1/2)))
(-.f64 (+.f64 (.f64 x 1/2) 0) (.f64 x y))
(*.f64 x (-.f64 1/2 y))
(.f64 1 (.f64 x (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(.f64 (-.f64 1/4 (.f64 y y)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x))
(.f64 -1 (.f64 x (+.f64 y -1/2)))
(.f64 (-.f64 1/8 (pow.f64 y 3)) (.f64 (/.f64 1 (fma.f64 y (+.f64 y 1/2) 1/4)) x))
(*.f64 (neg.f64 x) (+.f64 y -1/2))
(*.f64 (+.f64 y -1/2) (neg.f64 x))
(.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 y 1/2)))
(.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 y (+.f64 y 1/2) 1/4)))
(.f64 (.f64 (neg.f64 x) -1) (-.f64 1/2 y))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (-.f64 (.f64 y y) (*.f64 y 1/2))))
(.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (-.f64 1/16 (.f64 (.f64 y (+.f64 y 1/2)) (.f64 y (+.f64 y 1/2))))) (-.f64 1/4 (.f64 y (+.f64 y 1/2))))
(.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (.f64 y (+.f64 y 1/2)) 3))) (+.f64 1/16 (-.f64 (.f64 (.f64 y (+.f64 y 1/2)) (.f64 y (+.f64 y 1/2))) (.f64 1/4 (.f64 y (+.f64 y 1/2))))))
(pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)
(neg.f64 (*.f64 x (+.f64 y -1/2)))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2)))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2)))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2)))))
(.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))) (/.f64 1 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2)))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(.f64 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (/.f64 1 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))))
(.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2)))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(.f64 (/.f64 1 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (-.f64 (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (.f64 (.f64 x (.f64 (-.f64 1/2 y) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))) (.f64 x (.f64 (-.f64 1/2 y) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))))) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 (-.f64 1/2 y) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (pow.f64 (.f64 x (.f64 (-.f64 1/2 y) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))) 3))) (+.f64 (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (-.f64 (.f64 (.f64 x (.f64 (-.f64 1/2 y) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))) (.f64 x (.f64 (-.f64 1/2 y) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))) (.f64 (pow.f64 (log.f64 2) 2) (.f64 x (*.f64 (-.f64 1/2 y) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))) (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (/.f64 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) 3)) (.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))) (+.f64 (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) 3)) (.f64 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))))
(/.f64 (-.f64 (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3) (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) 3)) (.f64 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (-.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) 3) (pow.f64 (.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2)))) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))))) (.f64 (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2)))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2)))))) (+.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2)))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) 1) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) 1) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (/.f64 1 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))))) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) 3)) (/.f64 1 (+.f64 (log.f64 2) (.f64 x (+.f64 y -1/2))))) (+.f64 (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) 3)) (/.f64 1 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3) (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) 3)) (/.f64 1 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (-.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) 3) (pow.f64 (.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) 3))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (neg.f64 x) (+.f64 y -1/2) (log.f64 2))
(-.f64 0 (/.f64 1 (+.f64 y -1/2)))
(*.f64 1 (/.f64 1 (-.f64 1/2 y)))
(*.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(.f64 (+.f64 y 1/2) (/.f64 1 (-.f64 1/4 (.f64 y y))))
(*.f64 -1 (/.f64 1 (+.f64 y -1/2)))
(*.f64 (fma.f64 y (+.f64 y 1/2) 1/4) (/.f64 1 (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 1 (+.f64 y -1/2)) -1)
(.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2))
(*.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y 1/2) 1/4))
(.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (-.f64 (.f64 y y) (*.f64 -1/2 y))))
(*.f64 (pow.f64 (-.f64 1/2 y) -1/2) (pow.f64 (-.f64 1/2 y) -1/2))
(.f64 (pow.f64 (-.f64 1/2 y) -1/2) (.f64 (pow.f64 (-.f64 1/2 y) -1/2) 1))
(.f64 (.f64 1 (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (+.f64 y 1/2))
(.f64 (.f64 1 (/.f64 1 (-.f64 1/8 (pow.f64 y 3)))) (fma.f64 y (+.f64 y 1/2) 1/4))
(.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) -1/2)) (pow.f64 (-.f64 1/2 y) -1/2))
(.f64 (/.f64 (fma.f64 y (+.f64 y 1/2) 1/4) (-.f64 1/64 (pow.f64 (.f64 y y) 3))) (+.f64 1/8 (pow.f64 y 3)))
(.f64 (/.f64 (fma.f64 y (+.f64 y 1/2) 1/4) (-.f64 1/512 (pow.f64 (pow.f64 y 3) 3))) (+.f64 1/64 (+.f64 (pow.f64 (.f64 y y) 3) (*.f64 1/8 (pow.f64 y 3)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 1/4 (.f64 y y)))) (neg.f64 (+.f64 y 1/2)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (neg.f64 (fma.f64 y (+.f64 y 1/2) 1/4)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 1/4 (.f64 y y)))) (+.f64 y 1/2))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (fma.f64 y (+.f64 y 1/2) 1/4))
(.f64 (/.f64 (+.f64 y 1/2) (-.f64 1/16 (.f64 y (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 (+.f64 y 1/2) (-.f64 1/64 (pow.f64 (.f64 y y) 3))) (+.f64 1/16 (+.f64 (.f64 y (pow.f64 y 3)) (.f64 1/4 (*.f64 y y)))))
(pow.f64 (-.f64 1/2 y) -1)
(pow.f64 (exp.f64 (log.f64 (-.f64 1/2 y))) -1)
(neg.f64 (/.f64 1 (+.f64 y -1/2)))
(exp.f64 (*.f64 -1 (log.f64 (-.f64 1/2 y))))

Calls

21 calls:

1.0ms	(-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)
0.0ms	(-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)
0.0ms	(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
0.0ms	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
0.0ms	(+.f64 (log.f64 2) (*.f64 x 1/2))

simplify295.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1363×	`fma-def`
938×	`+-commutative`
910×	`associate-/l*`
588×	`associate-*r/`
514×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1063	29895
1	3277	27949

Stop Event

1×	node limit

Counts

535 → 616

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 1 (log.f64 2))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(.f64 -1 (.f64 x y))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(.f64 -1 (.f64 x y))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(.f64 -1 (.f64 x y))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(.f64 -1 (.f64 x y))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
2
(+.f64 2 (*.f64 4 y))
(+.f64 2 (+.f64 (.f64 4 y) (.f64 8 (pow.f64 y 2))))
(+.f64 2 (+.f64 (.f64 4 y) (+.f64 (.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y))))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y))))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)))))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x (neg.f64 y)) 0))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (neg.f64 (fma.f64 x y -1)) -1))
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 (neg.f64 (fma.f64 x y -1)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 0)
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)))
(+.f64 1 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)) 0))
(+.f64 1 (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)) 0))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) -1)
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)) 1)
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) 0))
(+.f64 (*.f64 x (neg.f64 y)) (-.f64 (log1p.f64 (exp.f64 x)) 0))
(+.f64 -1 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (fma.f64 x (neg.f64 y) -1))
(+.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x y) -2))) (neg.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x y) -2)))))
(+.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x y) -2)))) (neg.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x y) -2))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (/.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 0 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(+.f64 (+.f64 -1 (log1p.f64 (exp.f64 x))) (neg.f64 (fma.f64 x y -1)))
(+.f64 (+.f64 -1 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (*.f64 x (neg.f64 y)))
(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)
(.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (*.f64 (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) -1) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x y) -2))))
(.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) -1) (.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) -2))) 1))
(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x y) -2)) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) -2)))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (.f64 (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 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 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (/.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 -1 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x y) -2)))))
(.f64 (+.f64 -1 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 3)) (.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) -2)))) 1))
(.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x y) -2))) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x y) -2)))) (+.f64 -1 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 3)))
(.f64 (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)))
(.f64 (/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(.f64 (.f64 1 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) -1)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) -2))))
(.f64 (.f64 1 (+.f64 -1 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) -2)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) -1) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) -1)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (+.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 x (.f64 (log1p.f64 (exp.f64 x)) y)))))
(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) -1) (-.f64 1 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) -1) (+.f64 1 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 3))) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2) (neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
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(pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(*.f64 1 (/.f64 1 (-.f64 1/2 y)))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) (cbrt.f64 (/.f64 1 (-.f64 1/2 y)))) (cbrt.f64 (/.f64 1 (-.f64 1/2 y))))
(cbrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 1 (-.f64 1/2 y))) (/.f64 1 (-.f64 1/2 y))))
(exp.f64 (log.f64 (/.f64 1 (-.f64 1/2 y))))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 1/2 y))))
(binary32->binary64 (/.f32 1 (-.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))
(binary32->binary64 (+.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 1))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (log1p.f32 (exp.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)))
(binary32->binary64 (-.f32 (+.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 1) 1))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 x 1/2))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 x 1/2))))
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) 1/2)))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 1/2 y))))
(binary32->binary64 (/.f32 1 (-.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))))
(binary32->binary64 (+.f32 (log.f32 2) (/.f32 (binary64->binary32 x) (/.f32 1 (-.f32 1/2 (binary64->binary32 y))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))
(binary32->binary64 (binary64->binary32 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (/.f32 1 (-.f32 1/2 (binary64->binary32 y)))))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (.f64 x x) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (.f64 1/8 (.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (.f64 x x) (.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (.f64 x x))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.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 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 1 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (.f64 x x) (.f64 x (-.f64 1/2 y)))) 1)
(+.f64 (log.f64 2) (+.f64 1 (fma.f64 x (-.f64 1/2 y) (.f64 1/8 (.f64 x x)))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(+.f64 (+.f64 (log.f64 2) 1) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (.f64 x x) (.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (+.f64 1 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (.f64 1/8 (.f64 x x))))))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
2
(+.f64 2 (*.f64 4 y))
(+.f64 2 (*.f64 y 4))
(fma.f64 y 4 2)
(+.f64 2 (+.f64 (.f64 4 y) (.f64 8 (pow.f64 y 2))))
(+.f64 2 (fma.f64 4 y (.f64 8 (.f64 y y))))
(+.f64 (fma.f64 y 4 2) (.f64 8 (.f64 y y)))
(+.f64 2 (+.f64 (.f64 4 y) (+.f64 (.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(+.f64 2 (fma.f64 4 y (fma.f64 8 (.f64 y y) (.f64 16 (pow.f64 y 3)))))
(+.f64 (fma.f64 y 4 2) (fma.f64 16 (pow.f64 y 3) (.f64 8 (.f64 y y))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(-.f64 (neg.f64 (/.f64 1 y)) (/.f64 1/2 (*.f64 y y)))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y))))
(neg.f64 (+.f64 (/.f64 1/4 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))))
(-.f64 (neg.f64 (/.f64 1/4 (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) (/.f64 1/8 (pow.f64 y 4))))
(-.f64 (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) (/.f64 1/8 (pow.f64 y 4)))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(-.f64 (neg.f64 (/.f64 1 y)) (/.f64 1/2 (*.f64 y y)))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y))))
(neg.f64 (+.f64 (/.f64 1/4 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))))
(-.f64 (neg.f64 (/.f64 1/4 (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) (/.f64 1/8 (pow.f64 y 4))))
(-.f64 (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) (/.f64 1/8 (pow.f64 y 4)))
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(*.f64 (/.f64 -1 (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (fma.f64 y (+.f64 y 1/2) 1/4))
(*.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (/.f64 1 (-.f64 1/8 (pow.f64 y 3))))
(/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3)))
(.f64 (/.f64 (+.f64 y 1/2) (-.f64 1/16 (.f64 y (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (.f64 y (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (.f64 y (pow.f64 y 3)))) (fma.f64 y y 1/4))
(.f64 (/.f64 (+.f64 y 1/2) (-.f64 1/64 (pow.f64 (.f64 y y) 3))) (+.f64 1/16 (+.f64 (.f64 y (pow.f64 y 3)) (.f64 1/4 (*.f64 y y)))))
(.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 (.f64 y y) 3))) (+.f64 1/16 (fma.f64 y (pow.f64 y 3) (.f64 (.f64 1/4 y) y))))
(.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 (.f64 y y) 3))) (+.f64 1/16 (fma.f64 y (pow.f64 y 3) (.f64 1/4 (.f64 y y)))))
(pow.f64 (-.f64 1/2 y) -1)
(/.f64 1 (-.f64 1/2 y))
(pow.f64 (exp.f64 (log.f64 (-.f64 1/2 y))) -1)
(/.f64 1 (-.f64 1/2 y))
(neg.f64 (/.f64 1 (+.f64 y -1/2)))
(/.f64 -1 (+.f64 y -1/2))
(exp.f64 (*.f64 -1 (log.f64 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 y))) (sqrt.f64 (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(/.f64 1 (-.f64 1/2 y))
(*.f64 1 (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (-.f64 1/2 y))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) (cbrt.f64 (/.f64 1 (-.f64 1/2 y)))) (cbrt.f64 (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(cbrt.f64 (.f64 (.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 1 (-.f64 1/2 y))) (/.f64 1 (-.f64 1/2 y))))
(cbrt.f64 (*.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 (/.f64 1 (-.f64 1/2 y)) (-.f64 1/2 y))))
(cbrt.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) (-.f64 1/2 y)) (-.f64 1/2 y)))
(exp.f64 (log.f64 (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 1/2 y))))
(binary32->binary64 (/.f32 1 (-.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))))
(binary32->binary64 (+.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 1))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 y)) 1)))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (fma.f32 (binary64->binary32 x) (binary64->binary32 y) -1)))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (+.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 0))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (exp.f64 x))))
(binary32->binary64 (log1p.f32 (exp.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(binary32->binary64 (-.f32 (+.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 1) 1))
(binary32->binary64 (+.f32 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 0))
(binary32->binary64 (-.f32 (log1p.f32 (exp.f32 (binary64->binary32 x))) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (/.f32 1 (-.f32 1/2 (binary64->binary32 y)))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 x 1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 x 1/2 (log.f64 2))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 x 1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 x 1/2 (log.f64 2))))
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) 1/2)))
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 1/2 (binary64->binary32 x))))
(binary32->binary64 (fma.f32 1/2 (binary64->binary32 x) (log.f32 2)))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 1/2 y))))
(binary32->binary64 (/.f32 1 (-.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(binary32->binary64 (+.f32 (log.f32 2) (/.f32 (binary64->binary32 x) (/.f32 1 (-.f32 1/2 (binary64->binary32 y))))))
(binary32->binary64 (fma.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y)) (log.f32 2)))
(binary32->binary64 (binary64->binary32 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1/2 y))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (/.f32 1 (-.f32 1/2 (binary64->binary32 y)))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y))))

eval568.0ms (4.7%)

Compiler: Compiled 29399 to 15440 computations (47.5% saved)

prune193.0ms (1.6%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	913	10	923
Fresh	1	1	2
Picked	2	3	5
Done	0	3	3
Total	916	17	933

Accuracy

99.7%

Counts

933 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	20.1%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	18.5%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2))
	34.5%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	18.5%	(/.f64 1 (/.f64 (+.f64 y 1/2) (.f64 x (-.f64 1/4 (.f64 y y)))))
▶	88.9%	(-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)
▶	42.7%	(-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)
✓	89.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	89.4%	(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
	62.2%	(+.f64 (log.f64 2) (.f64 (-.f64 1/4 (.f64 y y)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x)))
✓	49.7%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	34.6%	(*.f64 x (-.f64 1/2 y))
✓	50.9%	(*.f64 x (neg.f64 y))
▶	3.5%	(*.f64 x 1/2)
	54.6%	(log1p.f64 (exp.f64 x))
✓	49.3%	(log.f64 2)
	37.8%	(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) 1/2)))
✓	89.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	20.1%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	18.5%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2))
	34.5%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	18.5%	(/.f64 1 (/.f64 (+.f64 y 1/2) (.f64 x (-.f64 1/4 (.f64 y y)))))
▶	88.9%	(-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)
▶	42.7%	(-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)
✓	89.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	89.4%	(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
	62.2%	(+.f64 (log.f64 2) (.f64 (-.f64 1/4 (.f64 y y)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x)))
✓	49.7%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	34.6%	(*.f64 x (-.f64 1/2 y))
✓	50.9%	(*.f64 x (neg.f64 y))
▶	3.5%	(*.f64 x 1/2)
	54.6%	(log1p.f64 (exp.f64 x))
✓	49.3%	(log.f64 2)
	37.8%	(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) 1/2)))

Compiler

Compiled 562 to 436 computations (22.4% saved)

localize316.0ms (2.6%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
	99.1%	(-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)
	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
	100.0%	(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
	74.9%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	100.0%	(/.f64 (+.f64 y 1/2) x)
	100.0%	(-.f64 1/4 (*.f64 y y))
	60.0%	(-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)
	100.0%	(+.f64 (*.f64 x (neg.f64 y)) 1)
	99.6%	(/.f64 x (/.f64 -1 y))
	100.0%	(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
✓	100.0%	(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	99.1%	(-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)
✓	100.0%	(-.f64 1/4 (*.f64 y y))
✓	100.0%	(/.f64 (+.f64 y 1/2) x)
✓	74.9%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
✓	100.0%	(+.f64 (*.f64 x (neg.f64 y)) 1)
✓	60.0%	(-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)
✓	100.0%	(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
✓	99.6%	(/.f64 x (/.f64 -1 y))

Compiler

Compiled 117 to 66 computations (43.6% saved)

series12.0ms (0.1%)

Counts

9 → 204

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 (+.f64 y 1/2) x)
1.0ms	x	@	0	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
1.0ms	y	@	inf	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
1.0ms	x	@	inf	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
1.0ms	y	@	0	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))

rewrite204.0ms (1.7%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

942×	`associate-r`
926×	`associate-/r/`
914×	`associate-l`
852×	`fma-def`
444×	`flip-+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	165
1	184	145
2	1626	127

Stop Event

1×	node limit

Counts

9 → 726

Calls

Call 1

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

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

Calls

28 calls:

1.0ms	(/.f64 x (/.f64 -1 y))
0.0ms	(/.f64 x (/.f64 -1 y))
0.0ms	(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
0.0ms	(-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)
0.0ms	(/.f64 (+.f64 y 1/2) x)

simplify354.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1237×	`fma-def`
1098×	`associate-*r/`
950×	`associate-*l/`
938×	`+-commutative`
572×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1225	41444
1	3483	36648

Stop Event

1×	node limit

Counts

930 → 811

Calls

Call 1

Inputs
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
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(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) 1)
(fma.f64 (+.f64 -1 (pow.f64 (-.f64 (log.f64 2) (fma.f64 x y -1)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (log.f64 2) (fma.f64 x y -1)) 2) (+.f64 (log.f64 2) (-.f64 2 (*.f64 x y))))) 1)
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(.f64 (sqrt.f64 (+.f64 (-.f64 (log.f64 2) (.f64 x y)) 1)) (sqrt.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(pow.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)
(.f64 1 (+.f64 (-.f64 (log.f64 2) (.f64 x y)) 1))
(.f64 (.f64 (cbrt.f64 (+.f64 (-.f64 (log.f64 2) (.f64 x y)) 1)) (cbrt.f64 (+.f64 (-.f64 (log.f64 2) (.f64 x y)) 1))) (cbrt.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(cbrt.f64 (.f64 (.f64 (+.f64 (-.f64 (log.f64 2) (.f64 x y)) 1) (+.f64 (-.f64 (log.f64 2) (.f64 x y)) 1)) (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(exp.f64 (log.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(log.f64 (exp.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(binary32->binary64 (+.f32 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 1))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))))
(binary32->binary64 (binary64->binary32 (+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))))
(binary32->binary64 (+.f32 (log.f32 2) (/.f32 (binary64->binary32 x) (/.f32 -1 (binary64->binary32 y)))))
(binary32->binary64 (binary64->binary32 (/.f64 x (/.f64 -1 y))))
(binary32->binary64 (binary64->binary32 (/.f64 x (/.f64 -1 y))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (/.f32 -1 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (+.f64 (*.f64 x (neg.f64 y)) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 (*.f64 x (neg.f64 y)) 1)))
(binary32->binary64 (+.f32 (*.f32 (binary64->binary32 x) (neg.f32 (binary64->binary32 y))) 1))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)))
(binary32->binary64 (-.f32 (+.f32 (*.f32 (binary64->binary32 x) (neg.f32 (binary64->binary32 y))) 1) 1))
(binary32->binary64 (binary64->binary32 (-.f64 1/4 (*.f64 y y))))
(binary32->binary64 (binary64->binary32 (-.f64 1/4 (*.f64 y y))))
(binary32->binary64 (-.f32 1/4 (*.f32 (binary64->binary32 y) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 y 1/2) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 y 1/2) x)))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 y) 1/2) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))))
(binary32->binary64 (/.f32 (-.f32 1/4 (*.f32 (binary64->binary32 y) (binary64->binary32 y))) (/.f32 (+.f32 (binary64->binary32 y) 1/2) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(binary32->binary64 (+.f32 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 1))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)))
(binary32->binary64 (-.f32 (+.f32 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 1) 1))

Outputs
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
1
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
1
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(+.f64 1 (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) 1)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (.f64 x y) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (.f64 x y) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (.f64 x y) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (.f64 x y) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (.f64 x y) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (.f64 x y) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (.f64 x y) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (.f64 x y) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (.f64 x y) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 x y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1/2 x) (/.f64 y x))
(/.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1/2 x) (/.f64 y x))
(/.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1/2 x) (/.f64 y x))
(/.f64 (+.f64 y 1/2) x)
(/.f64 y x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1/2 x) (/.f64 y x))
(/.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1/2 x) (/.f64 y x))
(/.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1/2 x) (/.f64 y x))
(/.f64 (+.f64 y 1/2) x)
(/.f64 y x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1/2 x) (/.f64 y x))
(/.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1/2 x) (/.f64 y x))
(/.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1/2 x) (/.f64 y x))
(/.f64 (+.f64 y 1/2) x)
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(binary32->binary64 (binary64->binary32 (-.f64 1/4 (*.f64 y y))))
(binary32->binary64 (binary64->binary32 (fma.f64 y (neg.f64 y) 1/4)))
(binary32->binary64 (-.f32 1/4 (*.f32 (binary64->binary32 y) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 y 1/2) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 y 1/2) x)))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 y) 1/2) (binary64->binary32 x)))
(binary32->binary64 (/.f32 (+.f32 1/2 (binary64->binary32 y)) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)) x)))
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)) x)))
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)))))
(binary32->binary64 (/.f32 (-.f32 1/4 (*.f32 (binary64->binary32 y) (binary64->binary32 y))) (/.f32 (+.f32 (binary64->binary32 y) 1/2) (binary64->binary32 x))))
(binary32->binary64 (.f32 (/.f32 (-.f32 1/4 (.f32 (binary64->binary32 y) (binary64->binary32 y))) (+.f32 1/2 (binary64->binary32 y))) (binary64->binary32 x)))
(binary32->binary64 (.f32 (binary64->binary32 x) (/.f32 (-.f32 1/4 (.f32 (binary64->binary32 y) (binary64->binary32 y))) (+.f32 1/2 (binary64->binary32 y)))))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (fma.f64 x y -1))))
(binary32->binary64 (binary64->binary32 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (fma.f64 x y -1))))
(binary32->binary64 (+.f32 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 1))
(binary32->binary64 (+.f32 1 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y)))))
(binary32->binary64 (-.f32 (log.f32 2) (fma.f32 (binary64->binary32 x) (binary64->binary32 y) -1)))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log.f64 2))))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log.f64 2))))
(binary32->binary64 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (+.f32 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 0))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log.f64 2))))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)))
(binary32->binary64 (binary64->binary32 (fma.f64 x (neg.f64 y) (log.f64 2))))
(binary32->binary64 (binary64->binary32 (-.f64 (log.f64 2) (*.f64 x y))))
(binary32->binary64 (-.f32 (+.f32 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 1) 1))
(binary32->binary64 (+.f32 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))) 0))
(binary32->binary64 (-.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (binary64->binary32 y))))

eval418.0ms (3.5%)

Compiler: Compiled 19580 to 13249 computations (32.3% saved)

prune628.0ms (5.2%)

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	815	11	826
Fresh	2	4	6
Picked	2	3	5
Done	0	6	6
Total	819	24	843

Accuracy

99.7%

Counts

843 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
	42.3%	(/.f64 (-.f64 2 (.f64 x y)) (/.f64 (-.f64 2 (.f64 x y)) (*.f64 y (neg.f64 x))))
	19.8%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
	5.4%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
	19.9%	(/.f64 (*.f64 y (neg.f64 y)) (/.f64 (+.f64 y 1/2) x))
	50.6%	(/.f64 y (/.f64 -1 x))
	50.7%	(/.f64 x (/.f64 -1 y))
	18.5%	(/.f64 1 (/.f64 (+.f64 y 1/2) (.f64 x (-.f64 1/4 (.f64 y y)))))
	50.8%	(/.f64 1 (/.f64 -1 (*.f64 x y)))
	3.0%	(/.f64 1/4 (/.f64 (+.f64 y 1/2) x))
	50.6%	(/.f64 -1 (/.f64 (/.f64 1 y) x))
	42.7%	(-.f64 (-.f64 1 (*.f64 x y)) 1)
✓	88.9%	(-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)
✓	89.6%	(-.f64 (log.f64 2) (*.f64 x y))
	2.9%	(-.f64 1 1)
✓	89.4%	(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
	62.2%	(+.f64 (log.f64 2) (.f64 (-.f64 1/4 (.f64 y y)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x)))
✓	49.7%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	34.6%	(*.f64 x (-.f64 1/2 y))
✓	50.9%	(*.f64 x (neg.f64 y))
✓	3.5%	(*.f64 x 1/2)
	54.6%	(log1p.f64 (exp.f64 x))
✓	49.3%	(log.f64 2)
	37.8%	(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) 1/2)))

Compiler

Compiled 509 to 338 computations (33.6% saved)

regimes122.0ms (1%)

Counts

36 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)
(-.f64 1 1)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(/.f64 x (/.f64 -1 y))
(/.f64 y (/.f64 -1 x))
(-.f64 (-.f64 1 (*.f64 x y)) 1)
(/.f64 -1 (/.f64 (/.f64 1 y) x))
(/.f64 1/4 (/.f64 (+.f64 y 1/2) x))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 y (neg.f64 y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 1 (/.f64 (+.f64 y 1/2) (.f64 x (-.f64 1/4 (.f64 y y)))))
(/.f64 (-.f64 2 (.f64 x y)) (/.f64 (-.f64 2 (.f64 x y)) (*.f64 y (neg.f64 x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
(-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)
(+.f64 (log.f64 2) (.f64 (-.f64 1/4 (.f64 y y)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x)))
(log1p.f64 (exp.f64 x))
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) 1/2)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y)))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))

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

Calls

3 calls:

77.0ms	x
20.0ms	y
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 303 to 181 computations (40.3% saved)

regimes75.0ms (0.6%)

Counts

34 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)
(-.f64 1 1)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(/.f64 x (/.f64 -1 y))
(/.f64 y (/.f64 -1 x))
(-.f64 (-.f64 1 (*.f64 x y)) 1)
(/.f64 -1 (/.f64 (/.f64 1 y) x))
(/.f64 1/4 (/.f64 (+.f64 y 1/2) x))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 y (neg.f64 y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 1 (/.f64 (+.f64 y 1/2) (.f64 x (-.f64 1/4 (.f64 y y)))))
(/.f64 (-.f64 2 (.f64 x y)) (/.f64 (-.f64 2 (.f64 x y)) (*.f64 y (neg.f64 x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
(-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)
(+.f64 (log.f64 2) (.f64 (-.f64 1/4 (.f64 y y)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x)))
(log1p.f64 (exp.f64 x))
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) 1/2)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) 1)
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) (-.f32 1/2 (binary64->binary32 y)))))

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

Calls

3 calls:

29.0ms	x
28.0ms	y
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 287 to 178 computations (38% saved)

regimes118.0ms (1%)

Counts

30 → 2

Calls

Call 1

Inputs
(*.f64 x 1/2)
(-.f64 1 1)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(/.f64 x (/.f64 -1 y))
(/.f64 y (/.f64 -1 x))
(-.f64 (-.f64 1 (*.f64 x y)) 1)
(/.f64 -1 (/.f64 (/.f64 1 y) x))
(/.f64 1/4 (/.f64 (+.f64 y 1/2) x))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(-.f64 (+.f64 (*.f64 x (neg.f64 y)) 1) 1)
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 y (neg.f64 y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 1 (/.f64 (+.f64 y 1/2) (.f64 x (-.f64 1/4 (.f64 y y)))))
(/.f64 (-.f64 2 (.f64 x y)) (/.f64 (-.f64 2 (.f64 x y)) (*.f64 y (neg.f64 x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
(-.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) 1)
(+.f64 (log.f64 2) (.f64 (-.f64 1/4 (.f64 y y)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x)))
(log1p.f64 (exp.f64 x))
(binary32->binary64 (+.f32 (log.f32 2) (*.f32 (binary64->binary32 x) 1/2)))
(fma.f64 x (neg.f64 y) (log.f64 2))

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

Calls

2 calls:

37.0ms	x
15.0ms	y

Results

Accuracy	Segments	Branch
99.3%	2	`x`
89.6%	1	`y`

Compiler

Compiled 238 to 153 computations (35.7% saved)

regimes45.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 166 to 101 computations (39.2% saved)

regimes156.0ms (1.3%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

2 calls:

84.0ms	x
68.0ms	y

Results

Accuracy	Segments	Branch
71.1%	5	`y`
84.6%	3	`x`

Compiler

Compiled 163 to 100 computations (38.7% saved)

regimes44.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
50.9%	1	`y`
50.9%	1	`x`

Compiler

Compiled 155 to 93 computations (40% saved)

regimes17.0ms (0.1%)

Accuracy

Total -0.8b remaining (-1.3%)

Threshold costs -0.8b (-1.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x 1/2)

Calls

2 calls:

13.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`y`

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-65306.998540024644	-0.012409444047715799

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-65306.998540024644	-0.012409444047715799

Results

20.0ms	131×	body	256	valid
2.0ms	5×	body	1024	valid
2.0ms	2×	body	2048	valid
1.0ms	6×	body	512	valid

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.6276692719469954e-32	2.528883399375258e-30
14.0ms	-3.4182665650026034e-18	-1.2302227916800103e-18

Results

25.0ms

192×

body

256

valid

Compiler

Compiled 167 to 139 computations (16.8% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	187
1	55	187
2	67	187
3	72	187
4	74	187

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -102) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8048060130728983/2596148429267413814265248164610048) (.f64 x (neg.f64 y)) (if (<=.f64 x 959110449498405/45671926166590716193865151022383844364247891968) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (neg.f64 (.f64 x y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -102) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -102) (neg.f64 (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -102) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8048060130728983/2596148429267413814265248164610048) (.f64 x (neg.f64 y)) (if (<=.f64 x 959110449498405/45671926166590716193865151022383844364247891968) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8048060130728983/2596148429267413814265248164610048) (neg.f64 (.f64 x y)) (if (<=.f64 x 959110449498405/45671926166590716193865151022383844364247891968) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8048060130728983/2596148429267413814265248164610048) (.f64 y (neg.f64 x)) (if (<=.f64 x 959110449498405/45671926166590716193865151022383844364247891968) (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 x 1/2)

Compiler

Compiled 84 to 59 computations (29.8% saved)

soundness1.2s (9.7%)

Rules

1454×	`associate-/l*`
1363×	`fma-def`
1312×	`fma-def`
1022×	`fma-def`
1022×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	113
1	63	109
2	90	101
3	194	101
4	330	101
5	568	101
6	989	101
7	2261	101
8	4378	101
9	6348	101
0	553	24277
1	1455	23517
2	5868	23509
0	1074	32185
1	3215	31303
0	1063	29895
1	3277	27949
0	25	113
1	63	109
2	90	101
3	194	101
4	330	101
5	568	101
6	989	101
7	2261	101
8	4378	101
9	6348	101

Stop Event

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

Compiler

Compiled 122 to 71 computations (41.8% saved)

end0.0ms (0%)

preprocess107.0ms (0.9%)

Compiler: Compiled 222 to 132 computations (40.5% saved)

analyze0.0ms (0%)

sample4.0s (33.3%)

preprocess301.0ms (2.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize59.0ms (0.5%)

series56.0ms (0.5%)

rewrite182.0ms (1.5%)

simplify310.0ms (2.6%)

eval129.0ms (1.1%)

prune55.0ms (0.5%)

localize207.0ms (1.7%)

series14.0ms (0.1%)

rewrite236.0ms (2%)

simplify272.0ms (2.3%)

eval421.0ms (3.5%)

prune145.0ms (1.2%)

localize213.0ms (1.8%)

series12.0ms (0.1%)

rewrite469.0ms (3.9%)

simplify295.0ms (2.5%)

eval568.0ms (4.7%)

prune193.0ms (1.6%)

localize316.0ms (2.6%)

series12.0ms (0.1%)

rewrite204.0ms (1.7%)

simplify354.0ms (2.9%)

eval418.0ms (3.5%)

prune628.0ms (5.2%)

regimes122.0ms (1%)

regimes75.0ms (0.6%)

regimes118.0ms (1%)

regimes45.0ms (0.4%)

regimes156.0ms (1.3%)

regimes44.0ms (0.4%)

regimes17.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch29.0ms (0.2%)

bsearch28.0ms (0.2%)

simplify14.0ms (0.1%)

soundness1.2s (9.7%)

end0.0ms (0%)

preprocess107.0ms (0.9%)

Profiling