Metrics for Logistic regression 2

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.7s (40.6%)

Results

2.0s	2301×	body	8192	exit
1.1s	6798×	body	256	valid
295.0ms	223×	body	512	valid
141.0ms	1024×	body	256	infinite
88.0ms	209×	body	1024	valid
2.0ms	2×	body	2048	valid

Bogosity

preprocess95.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accurracy

98.9%

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.8%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
▶	98.9%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.8%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 58 to 40 computations (31% saved)

localize208.0ms (2.3%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	98.9%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	98.9%	(log1p.f64 (exp.f64 x))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	98.8%	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 62 to 19 computations (69.4% saved)

series96.0ms (1.1%)

Counts

7 → 104

Calls

30 calls:

Time	Variable		Point	Expression
69.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
19.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	y	@	0	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	inf	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

rewrite157.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

7 → 581

Calls

Call 1

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

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

simplify257.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1306×	`fma-neg`
636×	`distribute-lft-neg-in`
588×	`fma-def`
576×	`distribute-rgt-neg-in`
408×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	570	28813
1	1348	24195
2	4217	19321

Stop Event

1×	node limit

Counts

685 → 313

Calls

Call 1

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

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

eval71.0ms (0.8%)

Compiler: Compiled 6453 to 1902 computations (70.5% saved)

prune99.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	305	8	313
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	308	8	316

Accurracy

99.4%

Counts

316 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	53.4%	(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
	87.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	98.8%	(-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y))
	90.3%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
▶	79.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	51.8%	(*.f64 x (neg.f64 y))
	51.8%	(log1p.f64 (exp.f64 x))
▶	79.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	53.4%	(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
	87.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	98.8%	(-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y))
	90.3%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
▶	79.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	51.8%	(*.f64 x (neg.f64 y))
	51.8%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 316 to 220 computations (30.4% saved)

localize135.0ms (1.5%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
✓	99.2%	(log1p.f64 (exp.f64 x))
✓	88.6%	(sqrt.f64 (*.f64 x y))
✓	100.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	100.0%	(-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 x y))
✓	99.6%	(pow.f64 (log1p.f64 (exp.f64 x)) 3)
✓	99.6%	(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
✓	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 113 to 47 computations (58.4% saved)

series19.0ms (0.2%)

Counts

10 → 126

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
2.0ms	x	@	-inf	(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
1.0ms	x	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms	y	@	-inf	(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
1.0ms	x	@	inf	(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))

rewrite127.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`fma-def`
704×	`expm1-udef`
700×	`log1p-udef`
526×	`fma-neg`
460×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	146
1	495	146
2	6004	138

Stop Event

1×	node limit

Counts

10 → 384

Calls

Call 1

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

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

simplify157.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1430×	`cancel-sign-sub-inv`
846×	`fma-neg`
612×	`log-prod`
534×	`associate-r`
520×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	549	12654
1	1227	12122
2	4407	12114

Stop Event

1×	node limit

Counts

510 → 347

Calls

Call 1

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

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

eval126.0ms (1.4%)

Compiler: Compiled 7283 to 2903 computations (60.1% saved)

prune85.0ms (0.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	418	9	427
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	420	15	435

Accurracy

99.4%

Counts

435 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	76.9%	(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
▶	87.3%	(-.f64 (log.f64 2) (*.f64 x y))
	71.9%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3)) (.f64 x y))
	68.2%	(-.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 1/2 (pow.f64 (log.f64 2) 2))) x) (+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/4 (log.f64 2))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (log.f64 2) (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/8 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 3))))) (.f64 x y))
▶	90.3%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
▶	78.6%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3) (log.f64 2))
	65.0%	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2)) (log.f64 2))
✓	79.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	49.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	65.1%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
▶	32.7%	(*.f64 (-.f64 1/2 y) x)
✓	51.8%	(*.f64 x (neg.f64 y))
▶	51.8%	(log1p.f64 (exp.f64 x))
	71.3%	(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
✓	79.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	76.9%	(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
▶	87.3%	(-.f64 (log.f64 2) (*.f64 x y))
	71.9%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3)) (.f64 x y))
	68.2%	(-.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 1/2 (pow.f64 (log.f64 2) 2))) x) (+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/4 (log.f64 2))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (log.f64 2) (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/8 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 3))))) (.f64 x y))
▶	90.3%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
▶	78.6%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3) (log.f64 2))
	65.0%	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2)) (log.f64 2))
✓	79.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	49.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	65.1%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
▶	32.7%	(*.f64 (-.f64 1/2 y) x)
✓	51.8%	(*.f64 x (neg.f64 y))
▶	51.8%	(log1p.f64 (exp.f64 x))
	71.3%	(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))

Compiler

Compiled 814 to 678 computations (16.7% saved)

localize229.0ms (2.5%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3) (log.f64 2))
✓	99.0%	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
✓	91.0%	(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
	98.9%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(fma.f64 x y (log1p.f64 (exp.f64 x)))
✓	100.0%	(.f64 (.f64 x y) -2)
	98.9%	(log1p.f64 (exp.f64 x))
✓	92.3%	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))

Compiler

Compiled 108 to 54 computations (50% saved)

series17.0ms (0.2%)

Counts

8 → 137

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
1.0ms	y	@	0	(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
1.0ms	x	@	0	(.f64 (.f64 x y) -2)
1.0ms	x	@	-inf	(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) -2))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)

rewrite139.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`fma-def`
840×	`expm1-udef`
834×	`log1p-udef`
492×	`add-sqr-sqrt`
476×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	148
1	504	140
2	6455	140

Stop Event

1×	node limit

Counts

8 → 347

Calls

Call 1

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

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

simplify209.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1250×	`fma-neg`
1014×	`associate-r`
954×	`log-prod`
934×	`associate-l`
758×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	766	17086
1	1905	15802
2	7004	15802

Stop Event

1×	node limit

Counts

484 → 488

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 (+.f64 (.f64 -2 y) (+.f64 1/2 y)) x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 (+.f64 (*.f64 -2 y) (+.f64 1/2 y)) x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (.f64 (+.f64 (.f64 -2 y) (+.f64 1/2 y)) x))))
(.f64 (+.f64 (.f64 -2 y) y) x)
(+.f64 (.f64 (+.f64 (.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(.f64 -1 (.f64 (+.f64 (.f64 2 y) (.f64 -1 y)) x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 2 y) (.f64 -1 y)) x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 2 y) (.f64 -1 y)) x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 2 y) (.f64 -1 y)) x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(.f64 (+.f64 (.f64 -2 x) x) y)
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(.f64 -1 (.f64 (+.f64 (.f64 2 x) (.f64 -1 x)) y))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 x) (.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 x) (.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 x) (.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 y x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 (+.f64 1/2 y) x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (*.f64 (+.f64 1/2 y) x))))
(*.f64 y x)
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 y x)
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 y x)
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 y x)
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) x))
(+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (.f64 1 x) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))
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(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2))) (cbrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 1)
(.f64 1 (cbrt.f64 (.f64 x (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(.f64 1 (.f64 x (-.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (-.f64 1/2 y)) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(.f64 (sqrt.f64 (-.f64 1/2 y)) (.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) (.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 2) 3) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6) 3))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 (-.f64 1/2 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) 1) (cbrt.f64 (.f64 x (-.f64 1/2 y))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y 1/2) 1/4))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y 1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 x (.f64 (-.f64 1/2 y) (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 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 1/2 y))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (-.f64 1/2 y)) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) (.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 2) 3) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) 3) (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) 3) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (.f64 (-.f64 1/2 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) 1) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6)) (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) (log.f64 2))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y 1/2) 1/4))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y 1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) 3/2)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))

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

eval340.0ms (3.8%)

Compiler: Compiled 12876 to 8002 computations (37.9% saved)

prune126.0ms (1.4%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	631	9	640
Fresh	2	5	7
Picked	1	4	5
Done	1	2	3
Total	635	20	655

Accurracy

99.4%

Counts

655 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.3%	(fma.f64 (neg.f64 y) x (log.f64 2))
▶	23.1%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	87.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	71.9%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3)) (.f64 x y))
	68.2%	(-.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 1/2 (pow.f64 (log.f64 2) 2))) x) (+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/4 (log.f64 2))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (log.f64 2) (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/8 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 3))))) (.f64 x y))
	76.4%	(+.f64 (fma.f64 y (neg.f64 x) (log.f64 2)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
	49.2%	(+.f64 (pow.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) 3) (log.f64 2))
✓	78.6%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3) (log.f64 2))
	65.0%	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2)) (log.f64 2))
▶	68.1%	(+.f64 (+.f64 (log.f64 2) (.f64 (+.f64 1/2 y) x)) (.f64 (*.f64 x y) -2))
✓	79.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	49.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	65.1%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
	22.8%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	32.7%	(*.f64 (-.f64 1/2 y) x)
	3.0%	(*.f64 x (+.f64 1/2 y))
✓	51.8%	(*.f64 x (neg.f64 y))
▶	3.8%	(*.f64 1/2 x)
✓	51.8%	(log1p.f64 (exp.f64 x))
	48.5%	(log.f64 2)
▶	87.3%	(fma.f64 (neg.f64 y) x (log.f64 2))
▶	23.1%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	87.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	71.9%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3)) (.f64 x y))
	68.2%	(-.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 1/2 (pow.f64 (log.f64 2) 2))) x) (+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/4 (log.f64 2))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (log.f64 2) (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/8 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 3))))) (.f64 x y))
	76.4%	(+.f64 (fma.f64 y (neg.f64 x) (log.f64 2)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
	49.2%	(+.f64 (pow.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) 3) (log.f64 2))
✓	78.6%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3) (log.f64 2))
	65.0%	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2)) (log.f64 2))
▶	68.1%	(+.f64 (+.f64 (log.f64 2) (.f64 (+.f64 1/2 y) x)) (.f64 (*.f64 x y) -2))
✓	79.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	49.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	65.1%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
	22.8%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	32.7%	(*.f64 (-.f64 1/2 y) x)
	3.0%	(*.f64 x (+.f64 1/2 y))
✓	51.8%	(*.f64 x (neg.f64 y))
▶	3.8%	(*.f64 1/2 x)
✓	51.8%	(log1p.f64 (exp.f64 x))
	48.5%	(log.f64 2)

Compiler

Compiled 954 to 772 computations (19.1% saved)

localize229.0ms (2.5%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	100.0%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3)) (.f64 x y))
✓	99.0%	(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 3)
✓	73.8%	(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 3))
✓	100.0%	(*.f64 (+.f64 1/2 y) x)
	100.0%	(.f64 (.f64 x y) -2)
✓	100.0%	(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 y) x))
✓	90.5%	(+.f64 (+.f64 (log.f64 2) (.f64 (+.f64 1/2 y) x)) (.f64 (*.f64 x y) -2))
✓	99.8%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	80.3%	(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
✓	100.0%	(fma.f64 (neg.f64 y) x (log.f64 2))

Compiler

Compiled 150 to 95 computations (36.7% saved)

series10.0ms (0.1%)

Counts

10 → 162

Calls

48 calls:

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

rewrite181.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`add-sqr-sqrt`
640×	`pow1`
638×	`*-un-lft-identity`
622×	`add-exp-log`
620×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	238
1	664	174

Stop Event

1×	node limit

Counts

10 → 330

Calls

Call 1

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

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

simplify129.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1068×	`fma-def`
760×	`associate-r`
696×	`associate-l`
480×	`distribute-rgt-in`
436×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	14576
1	2027	13022

Stop Event

1×	node limit

Counts

492 → 437

Calls

Call 1

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

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

eval228.0ms (2.5%)

Compiler: Compiled 8599 to 6023 computations (30% saved)

prune91.0ms (1%)

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	444	10	454
Fresh	1	8	9
Picked	1	4	5
Done	0	6	6
Total	446	28	474

Accurracy

99.4%

Counts

474 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.3%	(fma.f64 (neg.f64 y) x (log.f64 2))
	22.8%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	3.0%	(/.f64 x (/.f64 1 (+.f64 y 1/2)))
	51.6%	(/.f64 x (/.f64 -1 y))
	32.3%	(/.f64 x (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))))
	3.1%	(/.f64 x (+.f64 2 (*.f64 y 4)))
	2.8%	(/.f64 x (.f64 (+.f64 y 1/2) (/.f64 1 (+.f64 (.f64 y y) 1/4))))
✓	87.3%	(-.f64 (log.f64 2) (*.f64 x y))
✓	71.9%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3)) (.f64 x y))
	68.2%	(-.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 1/2 (pow.f64 (log.f64 2) 2))) x) (+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/4 (log.f64 2))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (log.f64 2) (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (.f64 1/8 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 3))))) (.f64 x y))
	76.4%	(+.f64 (fma.f64 y (neg.f64 x) (log.f64 2)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
	49.2%	(+.f64 (pow.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) 3) (log.f64 2))
✓	78.6%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3) (log.f64 2))
	65.0%	(+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2)) (log.f64 2))
	67.9%	(+.f64 (+.f64 (log.f64 2) (/.f64 1 (/.f64 (/.f64 1 (+.f64 y 1/2)) x))) (.f64 (.f64 x y) -2))
✓	68.1%	(+.f64 (+.f64 (log.f64 2) (.f64 (+.f64 1/2 y) x)) (.f64 (*.f64 x y) -2))
✓	79.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	49.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	65.1%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 2))
	2.7%	(.f64 (/.f64 x (+.f64 y 1/2)) (+.f64 1/4 (.f64 y y)))
	22.8%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
	2.8%	(.f64 (/.f64 1 (+.f64 y 1/2)) (.f64 (/.f64 x 1) (+.f64 (*.f64 y y) 1/4)))
✓	32.7%	(*.f64 (-.f64 1/2 y) x)
	3.0%	(*.f64 (+.f64 y 1/2) x)
✓	51.8%	(*.f64 x (neg.f64 y))
✓	3.8%	(*.f64 1/2 x)
✓	51.8%	(log1p.f64 (exp.f64 x))
	48.5%	(log.f64 2)

Compiler

Compiled 779 to 560 computations (28.1% saved)

regimes57.0ms (0.6%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
17.0ms	x
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`y`
98.9%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 430 to 283 computations (34.2% saved)

regimes41.0ms (0.5%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
13.0ms	y
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 243 to 152 computations (37.4% saved)

regimes40.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
98.6%	2	`x`
87.3%	1	`y`

Compiler

Compiled 209 to 134 computations (35.9% saved)

regimes22.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
97.9%	2	`x`

Compiler

Compiled 143 to 90 computations (37.1% saved)

regimes78.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

49.0ms	x
24.0ms	y

Results

Accuracy	Segments	Branch
68.7%	3	`y`
85.6%	3	`x`

Compiler

Compiled 140 to 88 computations (37.1% saved)

regimes20.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
51.8%	1	`y`
51.8%	1	`x`

Compiler

Compiled 132 to 81 computations (38.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch28.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-25816360485.096416	-2.329820110225531e-5

Results

22.0ms	154×	body	256	valid
2.0ms	4×	body	1024	valid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 196 to 152 computations (22.4% saved)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-25816360485.096416	-2.329820110225531e-5

Results

20.0ms	150×	body	256	valid
2.0ms	4×	body	1024	valid
1.0ms	5×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 176 to 132 computations (25% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.0023382164778188e-32	5.567018933422402e-27
37.0ms	-2.3584110540535556e-30	-6.6377044741783356e-40

Results

52.0ms

288×

body

256

valid

Compiler

Compiled 241 to 201 computations (16.6% saved)

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	187
1	55	187
2	65	187
3	70	187
4	72	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 -3039929748475085/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -48) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6279889847906223/2854495385411919762116571938898990272765493248) (.f64 x (neg.f64 y)) (if (<=.f64 x 8563486156235759/22835963083295358096932575511191922182123945984) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3039929748475085/2251799813685248) (neg.f64 (.f64 x y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -48) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -48) (neg.f64 (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -48) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6279889847906223/2854495385411919762116571938898990272765493248) (.f64 x (neg.f64 y)) (if (<=.f64 x 8563486156235759/22835963083295358096932575511191922182123945984) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -6279889847906223/2854495385411919762116571938898990272765493248) (neg.f64 (.f64 x y)) (if (<=.f64 x 8563486156235759/22835963083295358096932575511191922182123945984) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6279889847906223/2854495385411919762116571938898990272765493248) (.f64 y (neg.f64 x)) (if (<=.f64 x 8563486156235759/22835963083295358096932575511191922182123945984) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 84 to 59 computations (29.8% saved)

soundness1.2s (13.5%)

Rules

1942×	`prod-diff`
1340×	`fma-def`
1340×	`fma-def`
1306×	`fma-neg`
1306×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21
0	570	28813
1	1348	24195
2	4217	19321
0	16	101
1	328	89
2	3930	89
0	570	28813
1	1348	24195
2	4217	19321
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21

Stop Event

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

Compiler

Compiled 580 to 249 computations (57.1% saved)

end78.0ms (0.9%)

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

analyze0.0ms (0%)

sample3.7s (40.6%)

preprocess95.0ms (1%)

simplify87.0ms (1%)

eval1.0ms (0%)

prune3.0ms (0%)

localize208.0ms (2.3%)

series96.0ms (1.1%)

rewrite157.0ms (1.7%)

simplify257.0ms (2.8%)

eval71.0ms (0.8%)

prune99.0ms (1.1%)

localize135.0ms (1.5%)

series19.0ms (0.2%)

rewrite127.0ms (1.4%)

simplify157.0ms (1.7%)

eval126.0ms (1.4%)

prune85.0ms (0.9%)

localize229.0ms (2.5%)

series17.0ms (0.2%)

rewrite139.0ms (1.5%)

simplify209.0ms (2.3%)

eval340.0ms (3.8%)

prune126.0ms (1.4%)

localize229.0ms (2.5%)

series10.0ms (0.1%)

rewrite181.0ms (2%)

simplify129.0ms (1.4%)

eval228.0ms (2.5%)

prune91.0ms (1%)

regimes57.0ms (0.6%)

regimes41.0ms (0.5%)

regimes40.0ms (0.4%)

regimes22.0ms (0.2%)

regimes78.0ms (0.9%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch56.0ms (0.6%)

simplify46.0ms (0.5%)

soundness1.2s (13.5%)

end78.0ms (0.9%)

Profiling