Details

analyze1.2s (13%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	199.8%	-99.8%	0%	0%	0%	1
0%	0%	399.6%	-299.6%	0%	0%	0%	2
0%	0%	799.2%	-699.2%	0%	0%	0%	3
0%	0%	1598.4%	-1498.4%	0%	0%	0%	4
0%	0%	3196.9%	-3096.9%	0%	0%	0%	5
0%	0%	6393.8%	-6293.8%	0%	0%	0%	6
0%	0%	12787.5%	-12687.5%	0%	0%	0%	7
0%	0%	25575%	-25475%	0%	0%	0%	8
0%	0%	51150%	-51050%	0%	0%	0%	9
0%	0%	102300%	-102200%	0%	0%	0%	10
0%	0%	204600%	-204500%	0%	0%	0%	11
0%	0%	409200.1%	-409100.1%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample2.1s (22.4%)

Results

1.5s	6297×	body	256	valid
270.0ms	798×	body	512	valid
130.0ms	667×	body	256	infinite
94.0ms	348×	body	512	infinite
90.0ms	145×	body	1024	valid
0.0ms	1×	body	2048	valid

Bogosity

preprocess102.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

80.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	80.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	80.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	80.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize127.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	77.1%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	77.1%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 36 to 9 computations (75% saved)

series59.0ms (0.6%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
22.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
5.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	0	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

rewrite127.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 367

Calls

Call 1

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

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

simplify176.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

439 → 257

Calls

Call 1

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

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

eval96.0ms (1%)

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

prune55.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	294	6	300
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	295	7	302

Accurracy

91.4%

Counts

302 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	78.6%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
	79.4%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	80.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	81.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	78.6%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	51.2%	(*.f64 x (neg.f64 y))
▶	81.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	78.6%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
	79.4%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	80.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	81.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	78.6%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	51.2%	(*.f64 x (neg.f64 y))

Compiler

Compiled 250 to 188 computations (24.8% saved)

localize253.0ms (2.6%)

Local Accuracy

Found 6 expressions with local accuracy:

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

Compiler

Compiled 88 to 50 computations (43.2% saved)

series13.0ms (0.1%)

Counts

6 → 102

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(fma.f64 x (neg.f64 y) (log.f64 2))
1.0ms	y	@	0	(fma.f64 x (neg.f64 y) (log.f64 2))
0.0ms	x	@	-inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	x	@	-inf	(*.f64 (-.f64 1/2 y) x)
0.0ms	y	@	inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

rewrite119.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`fma-neg`
678×	`expm1-udef`
674×	`log1p-udef`
458×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	98
1	433	90
2	6457	90

Stop Event

1×	node limit

Counts

6 → 276

Calls

Call 1

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

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

simplify148.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1100×	`fma-neg`
834×	`distribute-rgt-neg-in`
812×	`distribute-lft-neg-in`
562×	`fma-def`
514×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	10898
1	896	10382
2	3716	10258

Stop Event

1×	node limit

Counts

378 → 251

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

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

eval93.0ms (1%)

Compiler: Compiled 4111 to 2910 computations (29.2% saved)

prune65.0ms (0.7%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	239	12	251
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	240	18	258

Accurracy

91.4%

Counts

258 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.4%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 x (+.f64 y 1/2))) (log.f64 2))
✓	81.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
	65.1%	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (*.f64 x y))
✓	78.6%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
▶	79.4%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	80.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	81.5%	(-.f64 (log.f64 2) (*.f64 x y))
	18.7%	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (log.f64 2))
	41.4%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3) (log.f64 2))
▶	41.4%	(+.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
	42.5%	(+.f64 (*.f64 x 1/2) (log.f64 2))
	41.3%	(+.f64 (log.f64 2) (*.f64 x (+.f64 (+.f64 y 1/2) (+.f64 y y))))
	40.8%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) (log.f64 2))
▶	40.2%	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (log.f64 2))
▶	40.5%	(*.f64 (-.f64 1/2 y) x)
✓	51.2%	(*.f64 x (neg.f64 y))
	40.6%	(log.f64 2)
▶	40.8%	(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
	41.4%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 x (+.f64 y 1/2))) (log.f64 2))
✓	81.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
	65.1%	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (*.f64 x y))
✓	78.6%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
▶	79.4%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	80.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	81.5%	(-.f64 (log.f64 2) (*.f64 x y))
	18.7%	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (log.f64 2))
	41.4%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3) (log.f64 2))
▶	41.4%	(+.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
	42.5%	(+.f64 (*.f64 x 1/2) (log.f64 2))
	41.3%	(+.f64 (log.f64 2) (*.f64 x (+.f64 (+.f64 y 1/2) (+.f64 y y))))
	40.8%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) (log.f64 2))
▶	40.2%	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (log.f64 2))
▶	40.5%	(*.f64 (-.f64 1/2 y) x)
✓	51.2%	(*.f64 x (neg.f64 y))
	40.6%	(log.f64 2)
▶	40.8%	(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))

Compiler

Compiled 694 to 554 computations (20.2% saved)

localize642.0ms (6.7%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
✓	97.9%	(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
✓	97.7%	(log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))
✓	100.0%	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (log.f64 2))
✓	99.9%	(pow.f64 (*.f64 x (+.f64 y 1/2)) 3)
✓	75.6%	(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
✓	100.0%	(+.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	84.5%	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 154 to 104 computations (32.5% saved)

series77.0ms (0.8%)

Counts

10 → 180

Calls

51 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
20.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
7.0ms	x	@	0	(sqrt.f64 (+.f64 1 (exp.f64 x)))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))

rewrite164.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`fma-neg`
826×	`expm1-udef`
824×	`log1p-udef`
502×	`add-sqr-sqrt`
488×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	194
1	567	174
2	6596	174

Stop Event

1×	node limit

Counts

10 → 371

Calls

Call 1

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

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

simplify183.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1084×	`fma-def`
988×	`associate-r`
874×	`associate-l`
454×	`associate-+r+`
416×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	820	18573
1	2094	16367

Stop Event

1×	node limit

Counts

551 → 525

Calls

Call 1

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

Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 x 4))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 2) 2)) (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/16 (*.f64 x x) (/.f64 x 4)))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))) (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2))))))
(fma.f64 1/6 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (fma.f64 3 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3)) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 2) 2)) (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x))))))
(+.f64 (fma.f64 1/6 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (pow.f64 x 3)) (log.f64 (sqrt.f64 2))) (fma.f64 1/16 (.f64 x x) (/.f64 x 4)))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (.f64 x (.f64 x 1/8))))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x) (.f64 1/3 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x (.f64 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (fma.f64 3 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3)) 1/3))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (.f64 x x) 1/8 (fma.f64 x (-.f64 1/2 y) (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (*.f64 (pow.f64 x 3) 1/3)))))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.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))
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(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(*.f64 1 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1)
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1)
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 3)
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3) 1/3)
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 2)
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))) 2))
(fabs.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3))
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 1))
(log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(log1p.f64 (-.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1))
(log1p.f64 (+.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)) -1))
(+.f64 (.f64 x y) (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(+.f64 (+.f64 (log.f64 2) (.f64 x y)) (.f64 x 1/2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 1)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2)))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (+.f64 1/2 y) (neg.f64 (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 1 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(*.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 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 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (+.f64 1/2 y) (neg.f64 (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 1 (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (+.f64 y 1/2))))) (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 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 1 (/.f64 (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2))) (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (+.f64 1/2 y) (neg.f64 (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 (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (+.f64 y 1/2))))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 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 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 x (.f64 (+.f64 y 1/2) (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (.f64 (log.f64 2) (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (+.f64 1/2 y)) (-.f64 (.f64 x (+.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (+.f64 1/2 y) (neg.f64 (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 y 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (+.f64 1/2 y)))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 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 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x (+.f64 1/2 y) (neg.f64 (log.f64 2)))))
(.f64 1 (/.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 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (.f64 x (+.f64 y 1/2))))
(/.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))))
(/.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 y 1/2) (log.f64 2)) 1)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (E.f64) (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3) 1/3)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2))) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))) 2))) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)) 2))
(fabs.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (+.f64 y 1/2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (cbrt.f64 (.f64 x (+.f64 y 1/2))) (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 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))

eval269.0ms (2.8%)

Compiler: Compiled 10760 to 7189 computations (33.2% saved)

prune174.0ms (1.8%)

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	525	26	551
Fresh	4	4	8
Picked	4	1	5
Done	2	3	5
Total	535	34	569

Accurracy

91.4%

Counts

569 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
	3.1%	(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
	2.1%	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
	40.2%	(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2))) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
	4.2%	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
	4.0%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
	4.0%	(/.f64 x (/.f64 (+.f64 y 1/2) (+.f64 1/4 (*.f64 y y))))
	65.1%	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (*.f64 x y))
▶	81.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	81.5%	(-.f64 (log.f64 2) (*.f64 x y))
	41.4%	(+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (.f64 (cbrt.f64 (+.f64 y 1/2)) x)) (log.f64 2))
	35.3%	(+.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
	26.4%	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3/2))) (log.f64 2))
▶	42.5%	(+.f64 (*.f64 x 1/2) (log.f64 2))
	40.5%	(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
	41.3%	(+.f64 (log.f64 2) (*.f64 x (+.f64 (+.f64 y 1/2) (+.f64 y y))))
	39.7%	(+.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))) (log.f64 2))
✓	40.5%	(*.f64 (-.f64 1/2 y) x)
	4.2%	(*.f64 (+.f64 1/2 y) x)
	2.1%	(*.f64 y x)
✓	51.2%	(*.f64 x (neg.f64 y))
▶	5.1%	(*.f64 x 1/2)
	44.4%	(log1p.f64 (exp.f64 x))
	40.6%	(log.f64 2)
	3.6%	(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
	2.1%	(exp.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 2))
	40.8%	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 3))
	39.2%	(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))) (log.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (+.f64 y 1/2))))))))
	41.0%	(exp.f64 (+.f64 (/.f64 (.f64 y x) (+.f64 (.f64 1/2 x) (log.f64 2))) (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))))
▶	3.0%	(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (+.f64 1/2 y))))
	41.7%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
	40.8%	(exp.f64 (expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))))
▶	2.1%	(exp.f64 (exp.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))))
	40.8%	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)))
✓	81.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
	3.1%	(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
	2.1%	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
	40.2%	(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2))) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
	4.2%	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
	4.0%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
	4.0%	(/.f64 x (/.f64 (+.f64 y 1/2) (+.f64 1/4 (*.f64 y y))))
	65.1%	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (*.f64 x y))
▶	81.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	81.5%	(-.f64 (log.f64 2) (*.f64 x y))
	41.4%	(+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (.f64 (cbrt.f64 (+.f64 y 1/2)) x)) (log.f64 2))
	35.3%	(+.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
	26.4%	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3/2))) (log.f64 2))
▶	42.5%	(+.f64 (*.f64 x 1/2) (log.f64 2))
	40.5%	(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
	41.3%	(+.f64 (log.f64 2) (*.f64 x (+.f64 (+.f64 y 1/2) (+.f64 y y))))
	39.7%	(+.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))) (log.f64 2))
✓	40.5%	(*.f64 (-.f64 1/2 y) x)
	4.2%	(*.f64 (+.f64 1/2 y) x)
	2.1%	(*.f64 y x)
✓	51.2%	(*.f64 x (neg.f64 y))
▶	5.1%	(*.f64 x 1/2)
	44.4%	(log1p.f64 (exp.f64 x))
	40.6%	(log.f64 2)
	3.6%	(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
	2.1%	(exp.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 2))
	40.8%	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 3))
	39.2%	(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))) (log.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (+.f64 y 1/2))))))))
	41.0%	(exp.f64 (+.f64 (/.f64 (.f64 y x) (+.f64 (.f64 1/2 x) (log.f64 2))) (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))))
▶	3.0%	(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (+.f64 1/2 y))))
	41.7%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
	40.8%	(exp.f64 (expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))))
▶	2.1%	(exp.f64 (exp.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))))
	40.8%	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)))

Compiler

Compiled 1682 to 1362 computations (19% saved)

localize409.0ms (4.3%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
✓	99.7%	(exp.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
	99.6%	(log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))
✓	98.2%	(exp.f64 (exp.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))))
✓	100.0%	(log.f64 (+.f64 1/2 y))
✓	99.9%	(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (+.f64 1/2 y)))
✓	98.2%	(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (+.f64 1/2 y))))
✓	99.7%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 149 to 113 computations (24.2% saved)

series132.0ms (1.4%)

Counts

7 → 124

Calls

33 calls:

Time	Variable		Point	Expression
39.0ms	y	@	inf	(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (+.f64 1/2 y))))
30.0ms	x	@	0	(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (+.f64 1/2 y))))
16.0ms	y	@	0	(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (+.f64 1/2 y))))
14.0ms	x	@	inf	(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (+.f64 1/2 y))))
12.0ms	x	@	-inf	(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (+.f64 1/2 y))))

rewrite120.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`prod-diff`
708×	`expm1-udef`
706×	`log1p-udef`
458×	`add-sqr-sqrt`
446×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	145
1	507	119
2	5797	119

Stop Event

1×	node limit

Counts

7 → 180

Calls

Call 1

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

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

simplify145.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1160×	`fma-def`
850×	`associate-r`
766×	`times-frac`
690×	`associate-+r+`
680×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	763	14632
1	2089	13138

Stop Event

1×	node limit

Counts

304 → 466

Calls

Call 1

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

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

eval356.0ms (3.7%)

Compiler: Compiled 15135 to 11729 computations (22.5% saved)

prune223.0ms (2.3%)

Pruning

50 alts after pruning (43 fresh and 7 done)

	Pruned	Kept	Total
New	532	33	565
Fresh	15	10	25
Picked	2	3	5
Done	0	4	4
Total	549	50	599

Accurracy

91.4%

Counts

599 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.6%	(fma.f64 x (neg.f64 y) (log.f64 2))
	1.9%	(fma.f64 1/2 (/.f64 (.f64 x (exp.f64 (log.f64 y))) y) (.f64 x (exp.f64 (log.f64 y))))
	3.1%	(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)
	3.1%	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (+.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (.f64 (+.f64 1/2 y) x))))
	2.1%	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (+.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (.f64 (+.f64 1/2 y) x))))
	4.2%	(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)
	4.0%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
	4.0%	(/.f64 x (/.f64 (-.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
	4.0%	(/.f64 x (/.f64 (+.f64 y 1/2) (+.f64 1/4 (*.f64 y y))))
	65.1%	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (*.f64 x y))
✓	81.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	81.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	42.5%	(+.f64 (*.f64 x 1/2) (log.f64 2))
	1.5%	(+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 y))))) y)) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 y))))))
	40.5%	(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
	41.3%	(+.f64 (log.f64 2) (*.f64 x (+.f64 (+.f64 y 1/2) (+.f64 y y))))
✓	40.5%	(*.f64 (-.f64 1/2 y) x)
	4.2%	(*.f64 (+.f64 1/2 y) x)
	4.2%	(.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
	3.9%	(.f64 (.f64 x (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
	3.1%	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 1/2 y)))
	2.1%	(*.f64 y x)
✓	51.2%	(*.f64 x (neg.f64 y))
✓	5.1%	(*.f64 x 1/2)
	44.4%	(log1p.f64 (exp.f64 x))
	40.6%	(log.f64 2)
	3.6%	(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))
	2.1%	(exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 1/2 y) x))) 2))
	3.1%	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 1/2 y) x))) 3))
	3.3%	(exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 1/2 y)) 2)) (log.f64 (/.f64 x (+.f64 1/2 y)))))
	2.9%	(exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (+.f64 1/2 y)) (log.f64 (.f64 (+.f64 1/2 y) x))))))
	2.9%	(exp.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (+.f64 1/2 y)) (log.f64 (.f64 (+.f64 1/2 y) x)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1/2 y)) 3)))))
	3.2%	(exp.f64 (+.f64 (.f64 2 y) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2))))
	3.7%	(exp.f64 (+.f64 (log.f64 x) (log.f64 1/2)))
	3.1%	(exp.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (+.f64 1/2 y) x))) 2) (cbrt.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))))
	2.9%	(exp.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (+.f64 1/2 y)) (log.f64 (*.f64 (+.f64 1/2 y) x)))))))
	41.7%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
	2.1%	(exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))))
	2.1%	(exp.f64 (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))) 2)))
	2.1%	(exp.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))) 3)))
	2.3%	(exp.f64 (exp.f64 (+.f64 (/.f64 (.f64 y x) (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) (+.f64 (.f64 1/2 x) (log.f64 2)))) (log.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))))))
	2.1%	(exp.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))) 1))))
	2.1%	(exp.f64 (exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 3))))
	2.5%	(exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))))
	2.1%	(exp.f64 (exp.f64 (log.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))))
	2.1%	(exp.f64 (exp.f64 (log.f64 (expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))))))
	2.1%	(exp.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))))))
	2.1%	(exp.f64 (exp.f64 (exp.f64 (log.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))))))
	2.1%	(exp.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)))) 3))))
	3.1%	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)) 3)))

Compiler

Compiled 1696 to 1310 computations (22.8% saved)

regimes302.0ms (3.2%)

Counts

80 → 2

Calls

Call 1

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

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

Calls

3 calls:

132.0ms	y
95.0ms	x
48.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
91.4%	2	`x`
90.1%	3	`y`
91.4%	2	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 1007 to 757 computations (24.8% saved)

regimes81.0ms (0.8%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

2 calls:

53.0ms	x
21.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
91.4%	2	`x`
91.4%	2	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 236 to 152 computations (35.6% saved)

regimes31.0ms (0.3%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
91.0%	2	`x`

Compiler

Compiled 142 to 91 computations (35.9% saved)

regimes29.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
89.2%	2	`x`

Compiler

Compiled 89 to 56 computations (37.1% saved)

regimes120.0ms (1.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

91.0ms	y
26.0ms	x

Results

Accuracy	Segments	Branch
67.2%	3	`y`
82.1%	3	`x`

Compiler

Compiled 78 to 48 computations (38.5% saved)

regimes30.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
81.8%	3	`x`

Compiler

Compiled 69 to 41 computations (40.6% saved)

regimes29.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
51.2%	1	`y`
53.1%	2	`x`

Compiler

Compiled 70 to 41 computations (41.4% saved)

regimes16.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
53.1%	2	`x`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes15.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
51.2%	1	`y`
51.2%	1	`x`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes9.0ms (0.1%)

Accuracy

Total -2.1b remaining (-3.5%)

Threshold costs -2.1b (-3.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x 1/2)

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
5.1%	1	`x`
5.1%	1	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.729953162045216e+304	+inf

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.729953162045216e+304	+inf

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-4548.071673432157	-1.697712138875959e-5

Results

24.0ms	142×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-4548.071673432157	-1.697712138875959e-5

Results

16.0ms	133×	body	256	valid
1.0ms	5×	body	1024	valid
0.0ms	4×	body	256	infinite
0.0ms	2×	body	512	valid

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	4.049517015542212e-52	1.2758911557625195e-45
18.0ms	-1.697712138875959e-5	-3.838269981449721e-6

Results

38.0ms

240×

body

256

valid

Compiler

Compiled 265 to 216 computations (18.5% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	4.049517015542212e-52	1.2758911557625195e-45
17.0ms	-1.697712138875959e-5	-3.838269981449721e-6

Results

37.0ms

240×

body

256

valid

Compiler

Compiled 205 to 171 computations (16.6% saved)

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-5.76174190661604e-298	3.1808098826629314e-307

Results

26.0ms

160×

body

256

valid

Compiler

Compiled 206 to 152 computations (26.2% saved)

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-5.76174190661604e-298	3.1808098826629314e-307

Results

27.0ms

160×

body

256

valid

Compiler

Compiled 166 to 122 computations (26.5% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
14×	`sub-neg`
14×	`*-commutative`
6×	`cancel-sign-sub-inv`
6×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	438
1	91	434
2	102	434
3	106	434
4	108	434

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -52) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8500259669165361/1180591620717411303424) (.f64 x (neg.f64 y)) (if (<=.f64 x 3496697184307563/205688069665150755269371147819668813122841983204197482918576128) (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -287769207549869/73786976294838206464) (.f64 x (neg.f64 y)) (if (<=.f64 x 819538402572085/803469022129495137770981046170581301261101496891396417650688) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y x))))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 x (neg.f64 y)) (.f64 (-.f64 1/2 y) x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (neg.f64 (.f64 x y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -52) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -52) (neg.f64 (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8500259669165361/1180591620717411303424) (.f64 x (neg.f64 y)) (if (<=.f64 x 3496697184307563/205688069665150755269371147819668813122841983204197482918576128) (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -8500259669165361/1180591620717411303424) (neg.f64 (.f64 x y)) (if (<=.f64 x 3496697184307563/205688069665150755269371147819668813122841983204197482918576128) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -287769207549869/73786976294838206464) (.f64 x (neg.f64 y)) (if (<=.f64 x 819538402572085/803469022129495137770981046170581301261101496891396417650688) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -287769207549869/73786976294838206464) (neg.f64 (.f64 x y)) (if (<=.f64 x 819538402572085/803469022129495137770981046170581301261101496891396417650688) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y x))))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (neg.f64 (.f64 x y)) (+.f64 (neg.f64 (.f64 x y)) (*.f64 x 1/2)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (neg.f64 (.f64 x y)) (-.f64 (.f64 x 1/2) (*.f64 x y)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 x (neg.f64 y)) (.f64 (-.f64 1/2 y) x))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (neg.f64 (.f64 x y)) (.f64 x (-.f64 1/2 y)))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 x y))
(*.f64 x 1/2)

Compiler

Compiled 181 to 123 computations (32% saved)

soundness740.0ms (7.7%)

Rules

1340×	`fma-def`
1340×	`fma-def`
1202×	`fma-neg`
1100×	`fma-neg`
834×	`distribute-rgt-neg-in`

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	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	391	10898
1	896	10382
2	3716	10258
0	519	9877
1	1260	9639
2	3640	9489

Stop Event

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

Compiler

Compiled 104 to 58 computations (44.2% saved)

end134.0ms (1.4%)

Compiler: Compiled 404 to 234 computations (42.1% saved)

Details

analyze1.2s (13%)

sample2.1s (22.4%)

preprocess102.0ms (1.1%)

simplify88.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize127.0ms (1.3%)

series59.0ms (0.6%)

rewrite127.0ms (1.3%)

simplify176.0ms (1.8%)

eval96.0ms (1%)

prune55.0ms (0.6%)

localize253.0ms (2.6%)

series13.0ms (0.1%)

rewrite119.0ms (1.2%)

simplify148.0ms (1.5%)

eval93.0ms (1%)

prune65.0ms (0.7%)

localize642.0ms (6.7%)

series77.0ms (0.8%)

rewrite164.0ms (1.7%)

simplify183.0ms (1.9%)

eval269.0ms (2.8%)

prune174.0ms (1.8%)

localize409.0ms (4.3%)

series132.0ms (1.4%)

rewrite120.0ms (1.3%)

simplify145.0ms (1.5%)

eval356.0ms (3.7%)

prune223.0ms (2.3%)

regimes302.0ms (3.2%)

regimes81.0ms (0.8%)

regimes31.0ms (0.3%)

regimes29.0ms (0.3%)

regimes120.0ms (1.3%)

regimes30.0ms (0.3%)

regimes29.0ms (0.3%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch41.0ms (0.4%)

bsearch41.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch29.0ms (0.3%)

simplify22.0ms (0.2%)

soundness740.0ms (7.7%)

end134.0ms (1.4%)

Profiling