Details

analyze181.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.3s (46.3%)

Results

2.7s	2471×	body	8192	exit
1.4s	7791×	body	256	valid
131.0ms	233×	body	1024	valid
63.0ms	231×	body	512	valid
19.0ms	140×	body	256	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess97.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

99.6%

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series112.0ms (1.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
59.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
48.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1934×	`pow1`
1780×	`add-exp-log`
1780×	`log1p-expm1-u`
1780×	`expm1-log1p-u`
196×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	187	30
2	2458	30

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg`
654×	`times-frac`
642×	`unswap-sqr`
568×	`log-prod`
488×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	2172
1	392	2052
2	1622	2052
3	7057	2052

Stop Event

1×	node limit

Counts

90 → 80

Calls

Call 1

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

eval37.0ms (0.4%)

Compiler: Compiled 1123 to 413 computations (63.2% saved)

prune24.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Accurracy

100.0%

Counts

81 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
	76.2%	(/.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)))))
▶	97.9%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	86.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	79.2%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	46.2%	(*.f64 y (neg.f64 x))

Compiler

Compiled 177 to 112 computations (36.7% saved)

localize19.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
	99.6%	(log1p.f64 (exp.f64 x))
✓	98.9%	(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
✓	98.3%	(cbrt.f64 (log1p.f64 (exp.f64 x)))

Compiler

Compiled 49 to 16 computations (67.3% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (log1p.f64 (exp.f64 x)))
2.0ms	x	@	inf	(cbrt.f64 (log1p.f64 (exp.f64 x)))
1.0ms	x	@	0	(cbrt.f64 (log1p.f64 (exp.f64 x)))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`pow1`
1296×	`add-exp-log`
1294×	`log1p-expm1-u`
1294×	`expm1-log1p-u`
1266×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	198	41
2	1916	41

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

Inputs
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)

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

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1194×	`fma-def`
948×	`log-prod`
700×	`fma-neg`
598×	`*-commutative`
520×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2519
1	404	2501
2	1359	2443
3	4407	2443
4	6513	2443

Stop Event

1×	node limit

Counts

83 → 94

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 x 3)))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/9) x)) (pow.f64 (pow.f64 (log.f64 2) 2) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) x)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 x 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/9) x)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) (pow.f64 x 3)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/3)
(-.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(pow.f64 (log1p.f64 (exp.f64 x)) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))

Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))
(+.f64 (cbrt.f64 (log.f64 2)) (.f64 1/6 (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x)))
(fma.f64 (.f64 (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x (cbrt.f64 (log.f64 2)))
(fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 1/6 x) (cbrt.f64 (log.f64 2)))
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(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
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(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
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(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
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(fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))
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(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
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(log1p.f64 (exp.f64 x))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (log1p.f64 (exp.f64 x)) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/2)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) 2)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(*.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)

localize5.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1908×	`pow1`
1764×	`add-exp-log`
1762×	`log1p-expm1-u`
1762×	`expm1-log1p-u`
198×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	17
2	2439	17

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 x y))

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1380×	`fma-neg`
1312×	`fma-def`
668×	`distribute-lft-neg-in`
510×	`distribute-rgt-neg-in`
476×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1546
1	300	1426
2	1153	1426
3	4859	1306

Stop Event

1×	node limit

Counts

62 → 51

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series3.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`prod-diff`
1052×	`log-prod`
694×	`pow-prod-down`
624×	`fma-def`
512×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	238	32
2	3091	32

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1738×	`fma-neg`
1554×	`fma-def`
684×	`log-prod`
632×	`unswap-sqr`
476×	`hypot-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	3335
1	482	2739
2	1445	2681
3	6106	2681

Stop Event

1×	node limit

Counts

115 → 114

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	99.6%	(log1p.f64 (exp.f64 x))
✓	98.7%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
✓	98.2%	(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series25.0ms (0.3%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	y	@	0	(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
1.0ms	x	@	0	(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`prod-diff`
1076×	`log-prod`
700×	`pow-prod-down`
594×	`fma-def`
564×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	253	46
2	2953	46

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)

Outputs
(+.f64 0 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 1)
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1)
(.f64 1 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1/6))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2) 3/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) 1/6)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/9)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2/3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (neg.f64 y)) 1))
(+.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 (.f64 x (neg.f64 y)) 1 (*.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 -1 (.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) x)) (cbrt.f64 (.f64 y y)) (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (.f64 (.f64 (cbrt.f64 x) y) (cbrt.f64 (.f64 x x))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) y)) (cbrt.f64 (.f64 x x)) (.f64 (.f64 (cbrt.f64 x) y) (cbrt.f64 (.f64 x x)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 x (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y))))))
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(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1 (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 1 (-.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)))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (neg.f64 (cbrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (neg.f64 y))) (cbrt.f64 (.f64 x (neg.f64 y)))) (cbrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (.f64 x (neg.f64 y))) (sqrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.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)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 2) (cbrt.f64 (cbrt.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)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))

simplify153.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

866×	`associate-r`
830×	`times-frac`
722×	`associate-l`
598×	`fma-def`
542×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	612	4294979203
1	1663	11031
2	5328	10161

Stop Event

1×	node limit

Counts

209 → 267

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x)))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (.f64 (-.f64 1/2 y) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (*.f64 y x))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 y x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 y x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y)))) x))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))) (.f64 2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y)))) x)))
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(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (neg.f64 y))) (cbrt.f64 (.f64 x (neg.f64 y)))) (cbrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (.f64 x (neg.f64 y))) (sqrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.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)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 2) (cbrt.f64 (cbrt.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)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))

Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (.f64 (-.f64 1/2 y) x)) (cbrt.f64 (log.f64 2)))
(fma.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (*.f64 (-.f64 1/2 y) x) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x)))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (+.f64 1/8 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))) (.f64 x x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 2)))
(fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 x x)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (.f64 (-.f64 1/2 y) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x))))))
(+.f64 (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (.f64 (-.f64 1/2 y) (+.f64 1/8 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3))) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (+.f64 1/8 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))) (.f64 x x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (log.f64 2)))
(+.f64 (fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 x x)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (.f64 (fma.f64 2/3 (.f64 (-.f64 1/2 y) (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (pow.f64 (-.f64 1/2 y) 3) 1/27))) (pow.f64 x 3)) -1/3)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (*.f64 y x))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (.f64 y x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(fma.f64 -1/3 (.f64 x (.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 y x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (.f64 y x)) (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18))) (.f64 (.f64 x x) (*.f64 y y)))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (fma.f64 -1/3 (.f64 x (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (*.f64 y x) 2)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 y x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (neg.f64 y))) (cbrt.f64 (.f64 x (neg.f64 y)))) (cbrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 x (neg.f64 y))) (sqrt.f64 (.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.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))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 y) (neg.f64 x)) (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y))))) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (cbrt.f64 y)) (neg.f64 (cbrt.f64 (.f64 y y))))))
(+.f64 (.f64 0 (.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y y))))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))))
(-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)))))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.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 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 2) (cbrt.f64 (cbrt.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 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 5/6) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 5/6) (.f64 0 (.f64 y x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 5/6) 0)
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 5/6) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 5/6) (.f64 0 (.f64 y x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 5/6) 0)
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 5/6) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 5/6) (.f64 0 (.f64 y x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) 5/6) 0)

eval293.0ms (3.1%)

Compiler: Compiled 18733 to 10703 computations (42.9% saved)

prune126.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	689	7	696
Fresh	1	0	1
Picked	1	0	1
Done	3	2	5
Total	694	9	703

Accurracy

100.0%

Counts

703 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.0%	(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
▶	98.3%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/3)) (.f64 x y))
✓	86.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	55.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	26.4%	(*.f64 (-.f64 1/2 y) x)
✓	46.2%	(*.f64 y (neg.f64 x))
	56.9%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))))
▶	56.0%	(log1p.f64 (exp.f64 x))
▶	54.6%	(log.f64 2)

Compiler

Compiled 148 to 114 computations (23% saved)

localize22.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (log1p.f64 (exp.f64 x)) 1/3)
	99.6%	(log1p.f64 (exp.f64 x))
✓	98.9%	(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/3))
	98.3%	(cbrt.f64 (log1p.f64 (exp.f64 x)))

Compiler

Compiled 57 to 23 computations (59.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(pow.f64 (log1p.f64 (exp.f64 x)) 1/3)
0.0ms	x	@	0	(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/3))
0.0ms	x	@	-inf	(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/3))
0.0ms	x	@	inf	(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/3))
0.0ms	x	@	inf	(pow.f64 (log1p.f64 (exp.f64 x)) 1/3)

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`pow1`
1428×	`add-exp-log`
1428×	`log1p-expm1-u`
1428×	`expm1-log1p-u`
1394×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	242	22
2	2130	22

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/3))
(pow.f64 (log1p.f64 (exp.f64 x)) 1/3)

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

990×	`associate-r`
900×	`associate-l`
870×	`log-prod`
738×	`associate-+r+`
716×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1259
1	262	1245
2	761	1207
3	4066	1187

Stop Event

1×	node limit

Counts

51 → 59

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)))
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 x 3)))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (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)))
(fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (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))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))
(+.f64 (cbrt.f64 (log.f64 2)) (.f64 1/6 (.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))))
(fma.f64 (.f64 (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x (cbrt.f64 (log.f64 2)))
(fma.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (.f64 x x) (+.f64 1/8 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))))) (+.f64 (cbrt.f64 (log.f64 2)) (.f64 1/6 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (.f64 x x) (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)))) (fma.f64 (.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x (cbrt.f64 (log.f64 2))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (.f64 x (.f64 x 1/3))) (fma.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2))))
(fma.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (fma.f64 1/3 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (cbrt.f64 (log.f64 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 x 3)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (.f64 x x) (+.f64 1/8 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))))) (+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (fma.f64 1/3 (.f64 (+.f64 1/8 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) (pow.f64 x 3))))))
(+.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (.f64 x x) (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)))) (fma.f64 (.f64 (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x (cbrt.f64 (log.f64 2)))) (.f64 -1/3 (.f64 (fma.f64 1/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))
(+.f64 (fma.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 (fma.f64 1/3 (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (.f64 -1/3 (pow.f64 x 3))) (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (.f64 x (*.f64 x 1/3))))))
(+.f64 (fma.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x (fma.f64 1/3 (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) -1/3) (.f64 1/3 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 1)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 x))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/6) 4)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (log1p.f64 (exp.f64 x)))

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 (-.f64 1/2 y) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize4.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize9.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`pow1`
1692×	`add-exp-log`
1690×	`log1p-expm1-u`
1690×	`expm1-log1p-u`
1660×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	13
2	2324	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-neg`
832×	`cancel-sign-sub-inv`
774×	`associate-r`
734×	`associate-l`
654×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1330
1	233	1136
2	727	924
3	4059	924

Stop Event

1×	node limit

Counts

38 → 44

Calls

Call 1

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

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

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 8 to 4 computations (50% saved)

eval105.0ms (1.1%)

Compiler: Compiled 5500 to 3701 computations (32.7% saved)

prune43.0ms (0.5%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	256	5	261
Fresh	0	2	2
Picked	0	1	1
Done	0	6	6
Total	256	14	270

Accurracy

100.0%

Counts

270 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.0%	(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
	8.7%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
▶	10.6%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	98.3%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/3)) (.f64 x y))
✓	86.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	26.4%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	55.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	10.6%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	26.4%	(*.f64 (-.f64 1/2 y) x)
✓	46.2%	(*.f64 y (neg.f64 x))
	56.9%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))))
▶	3.4%	(*.f64 1/2 x)
✓	56.0%	(log1p.f64 (exp.f64 x))
✓	54.6%	(log.f64 2)

Compiler

Compiled 214 to 158 computations (26.2% saved)

localize23.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	98.6%	(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
✓	98.1%	(cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series9.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
2.0ms	y	@	0	(cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))
1.0ms	x	@	0	(cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))
0.0ms	y	@	inf	(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`prod-diff`
1026×	`log-prod`
656×	`pow-prod-down`
574×	`fma-def`
524×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	253	38
2	2915	38

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)

Outputs
(+.f64 0 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))) 1)
(.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) 1)
(.f64 1 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/6))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 x y (log.f64 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 2) 3/2)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) 1/6)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/9)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(exp.f64 (.f64 (log.f64 (-.f64 (log.f64 2) (.f64 x y))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) 2)) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (.f64 (.f64 y (neg.f64 x)) 1))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 -1 (.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 2))
(+.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (fma.f64 (log.f64 2) 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 (log.f64 2) 1 (neg.f64 (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) x)) (cbrt.f64 (.f64 y y)) (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y)))))
(+.f64 (fma.f64 (log.f64 2) 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 (log.f64 2) 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 (log.f64 2) 1 (neg.f64 (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 x (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y))))))
(+.f64 (fma.f64 (log.f64 2) 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 (log.f64 2) 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 (log.f64 2) 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 1 (log.f64 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 1 (log.f64 2) (neg.f64 (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) x)) (cbrt.f64 (.f64 y y)) (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y)))))
(+.f64 (fma.f64 1 (log.f64 2) (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 (log.f64 2) (neg.f64 (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 x (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y))))))
(+.f64 (fma.f64 1 (log.f64 2) (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 (log.f64 2) (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 (log.f64 2) (neg.f64 (.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 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 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (neg.f64 (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) x)) (cbrt.f64 (.f64 y y)) (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y)))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (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 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (neg.f64 (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (neg.f64 (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 x (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y))))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (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 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (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 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (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 (log.f64 2)) 2) (cbrt.f64 (log.f64 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 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) x)) (cbrt.f64 (.f64 y y)) (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (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 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 x (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (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 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (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)))))
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(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1260×	`times-frac`
778×	`associate-r`
642×	`associate-l`
578×	`fma-def`
494×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	4294976099
1	1551	8109
2	4809	7619

Stop Event

1×	node limit

Counts

209 → 253

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 y x))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 y x)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 y x))))))
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 y x))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 y x)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 y x))))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y))) x))
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)) (.f64 -2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y))) x)))
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y))) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 y (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))))))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))))) (pow.f64 1 1/3))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3)))) (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))))) (pow.f64 (/.f64 1 (log.f64 2)) 1/3))) (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 y 3) (log.f64 2))))))))) (pow.f64 x 3)))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 x 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 x 2)))))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)) (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x))))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 x 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 x 2)))))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 x 3) (log.f64 2)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2)))) x))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 1 1/3))) (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3)))))))) (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)))))))
(+.f64 0 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))) 1)
(.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) 1)
(.f64 1 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/6))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 x y (log.f64 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 2) 3/2)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) 1/6)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/9)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(exp.f64 (.f64 (log.f64 (-.f64 (log.f64 2) (.f64 x y))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) 2)) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (.f64 (.f64 y (neg.f64 x)) 1))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 -1 (.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 2))
(+.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (fma.f64 (log.f64 2) 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 (log.f64 2) 1 (neg.f64 (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) x)) (cbrt.f64 (.f64 y y)) (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y)))))
(+.f64 (fma.f64 (log.f64 2) 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 (log.f64 2) 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 (log.f64 2) 1 (neg.f64 (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 x (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y))))))
(+.f64 (fma.f64 (log.f64 2) 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 (log.f64 2) 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 (log.f64 2) 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 1 (log.f64 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 1 (log.f64 2) (neg.f64 (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) x)) (cbrt.f64 (.f64 y y)) (.f64 (.f64 (cbrt.f64 y) x) (cbrt.f64 (.f64 y y)))))
(+.f64 (fma.f64 1 (log.f64 2) (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 (log.f64 2) (neg.f64 (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 x (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 y) (.f64 x (cbrt.f64 (.f64 y y))))))
(+.f64 (fma.f64 1 (log.f64 2) (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)))))
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(fma.f64 (sqrt.f64 (-.f64 (log.f64 2) (.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (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)))
(fma.f64 (neg.f64 x) y (log.f64 2))
(fma.f64 (.f64 (cbrt.f64 (.f64 y (neg.f64 x))) (cbrt.f64 (.f64 y (neg.f64 x)))) (cbrt.f64 (.f64 y (neg.f64 x))) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 x))) (sqrt.f64 (.f64 y (neg.f64 x))) (log.f64 2))
(fma.f64 (neg.f64 y) x (log.f64 2))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 -1 (*.f64 x y) (log.f64 2))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))

Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 y x))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 y x))) (cbrt.f64 (log.f64 2)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 y x)) (cbrt.f64 (log.f64 2)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 y x)))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 (.f64 y y) (.f64 x x))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 y x))) (cbrt.f64 (log.f64 2))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (pow.f64 (.f64 y x) 2)) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 y x)) (cbrt.f64 (log.f64 2))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 y x))))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 (.f64 y y) (.f64 x x))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 y 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 y 3)))) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 y x))) (cbrt.f64 (log.f64 2)))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (pow.f64 (.f64 y x) 2)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 y 3)) 5/27) (pow.f64 x 3))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 y x)) (cbrt.f64 (log.f64 2)))))
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 y x))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 y x))) (cbrt.f64 (log.f64 2)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 y x)) (cbrt.f64 (log.f64 2)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 y x)))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 (.f64 y y) (.f64 x x))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 y x))) (cbrt.f64 (log.f64 2))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (pow.f64 (.f64 y x) 2)) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 y x)) (cbrt.f64 (log.f64 2))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 y x))))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 (.f64 y y) (.f64 x x))) (+.f64 (.f64 -1/3 (+.f64 (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 3)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 y 3))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 y x)))) (cbrt.f64 (log.f64 2))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (pow.f64 (.f64 y x) 2)) (fma.f64 -1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (pow.f64 y 3) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 3)) 5/27)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 y x))) (cbrt.f64 (log.f64 2))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (pow.f64 (.f64 y x) 2)) (fma.f64 -1/3 (fma.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 3)) 5/27) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 y 3)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 y x))) (cbrt.f64 (log.f64 2))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(log.f64 2)
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y))) x))
(+.f64 (log.f64 2) (.f64 x (.f64 (.f64 y (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) -1)))
(fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (neg.f64 x)) (log.f64 2))
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)) (.f64 -2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y))) x)))
(+.f64 (log.f64 2) (fma.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (.f64 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) -1/9) (.f64 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))) 1/9)) (.f64 x x) (.f64 x (.f64 (.f64 y (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) -1))))
(+.f64 (log.f64 2) (fma.f64 x (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (neg.f64 y)) (.f64 (.f64 x x) (fma.f64 (.f64 -1/9 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (cbrt.f64 (log.f64 2)) (.f64 (.f64 y y) (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/9))))))
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(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 5/6) (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log.f64 2) (.f64 y x)) 5/6) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log.f64 2) (.f64 y x)) 5/6) (.f64 0 (.f64 y x)))
(fma.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 y x)) 1/6) (pow.f64 (-.f64 (log.f64 2) (.f64 y x)) 5/6) 0)

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1992×	`pow1`
1840×	`add-exp-log`
1838×	`log1p-expm1-u`
1838×	`expm1-log1p-u`
226×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	217	13
2	2984	13

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1234×	`fma-neg`
854×	`fma-def`
558×	`log-prod`
422×	`div-sub`
420×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1901
1	346	1553
2	1363	1295
3	5468	1291

Stop Event

1×	node limit

Counts

69 → 72

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 1/2 y))
✓	75.2%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`log-prod`
804×	`pow-prod-down`
530×	`pow-prod-up`
516×	`pow-exp`
444×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	250	32
2	3438	32

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

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

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1980×	`fma-def`
1150×	`distribute-lft-in`
1088×	`distribute-rgt-in`
692×	`unswap-sqr`
308×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	3807
1	731	3531
2	2791	3387

Stop Event

1×	node limit

Counts

133 → 172

Calls

Call 1

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

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

localize44.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	80.2%	(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`log-prod`
740×	`pow-prod-down`
542×	`pow-prod-up`
526×	`pow-exp`
452×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	256	26
2	3691	26

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

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

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1128×	`fma-def`
978×	`unswap-sqr`
976×	`associate-*r/`
844×	`distribute-lft-in`
828×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3654
1	765	3196
2	2384	3112

Stop Event

1×	node limit

Counts

138 → 180

Calls

Call 1

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

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

eval464.0ms (5%)

Compiler: Compiled 14937 to 9848 computations (34.1% saved)

prune229.0ms (2.5%)

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	712	16	728
Fresh	1	1	2
Picked	1	0	1
Done	2	9	11
Total	716	26	742

Accurracy

100.0%

Counts

742 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.0%	(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
	10.6%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	2.1%	(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 y y) -1/4)) (.f64 x (+.f64 y -1/2)))
	26.3%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	46.1%	(/.f64 x (/.f64 -1 y))
	26.4%	(/.f64 x (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1/2 y) y)))
	8.7%	(/.f64 1 (/.f64 (+.f64 1/2 y) (.f64 x (-.f64 1/4 (.f64 y y)))))
	2.7%	(-.f64 (+.f64 1 (*.f64 x (+.f64 1/2 y))) 1)
✓	98.3%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/3)) (.f64 x y))
✓	86.6%	(-.f64 (log.f64 2) (*.f64 x y))
✓	55.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	10.3%	(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
✓	26.4%	(*.f64 (-.f64 1/2 y) x)
	9.3%	(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
	9.5%	(.f64 (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (.f64 y y)))) (-.f64 1/4 (.f64 y y)))
	2.9%	(*.f64 (+.f64 1/2 y) x)
	10.0%	(.f64 (.f64 (/.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
	9.8%	(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
	2.4%	(.f64 (.f64 x (+.f64 2 (.f64 y (+.f64 -4 (.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
	2.4%	(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
	2.8%	(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
✓	46.2%	(*.f64 y (neg.f64 x))
	56.9%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))))
✓	3.4%	(*.f64 1/2 x)
✓	56.0%	(log1p.f64 (exp.f64 x))
✓	54.6%	(log.f64 2)

Compiler

Compiled 312 to 221 computations (29.2% saved)

regimes61.0ms (0.6%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
18.0ms	x
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 398 to 215 computations (46% saved)

regimes98.0ms (1.1%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

53.0ms	x
36.0ms	y

Results

Accuracy	Segments	Branch
99.0%	2	`x`
88.2%	3	`y`

Compiler

Compiled 280 to 164 computations (41.4% saved)

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-19.65995409551872	-0.00015893436426807285

Results

30.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes93.0ms (1%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	y
36.0ms	x

Results

Accuracy	Segments	Branch
98.4%	2	`x`
88.2%	3	`y`

Compiler

Compiled 269 to 156 computations (42% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-993913.172258451	-19.65995409551872

Results

14.0ms	113×	body	256	valid
6.0ms	9×	body	1024	valid
1.0ms	5×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 144 to 108 computations (25% saved)

regimes169.0ms (1.8%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

2 calls:

104.0ms	y
34.0ms	x

Results

Accuracy	Segments	Branch
85.0%	3	`x`
70.5%	5	`y`

Compiler

Compiled 263 to 152 computations (42.2% saved)

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	4.58348056958846e-42	1.6121312158844637e-37
18.0ms	-19.65995409551872	-0.00015893436426807285

Results

44.0ms

272×

body

256

valid

Compiler

Compiled 296 to 241 computations (18.6% saved)

regimes183.0ms (2%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

2 calls:

113.0ms	y
64.0ms	x

Results

Accuracy	Segments	Branch
84.6%	3	`x`
71.6%	7	`y`

Compiler

Compiled 257 to 147 computations (42.8% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.58348056958846e-42	1.6121312158844637e-37
23.0ms	-993913.172258451	-19.65995409551872

Results

31.0ms	244×	body	256	valid
2.0ms	8×	body	512	valid
2.0ms	3×	body	1024	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 216 to 180 computations (16.7% saved)

regimes34.0ms (0.4%)

Accuracy

Total -29.2b remaining (-84.9%)

Threshold costs -29.2b (-84.9%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
46.2%	1	`x`
46.2%	1	`y`

Compiler

Compiled 255 to 145 computations (43.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
14×	`*-commutative`
12×	`sub-neg`
8×	`cancel-sign-sub-inv`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	225
1	61	225
2	74	225
3	79	225
4	81	225

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -1553741871442821/1125899906842624) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -54) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4150517416584649/18446744073709551616) (.f64 y (neg.f64 x)) (if (<=.f64 x 6080942306155847/98079714615416886934934209737619787751599303819750539264) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -20) (.f64 y (neg.f64 x)) (if (<=.f64 x 8045601589545917/191561942608236107294793378393788647952342390272950272) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -1553741871442821/1125899906842624) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -1553741871442821/1125899906842624) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -1553741871442821/1125899906842624) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -54) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -54) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4150517416584649/18446744073709551616) (.f64 y (neg.f64 x)) (if (<=.f64 x 6080942306155847/98079714615416886934934209737619787751599303819750539264) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -4150517416584649/18446744073709551616) (.f64 y (neg.f64 x)) (if (<=.f64 x 6080942306155847/98079714615416886934934209737619787751599303819750539264) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -4150517416584649/18446744073709551616) (.f64 x (neg.f64 y)) (if (<=.f64 x 6080942306155847/98079714615416886934934209737619787751599303819750539264) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -20) (.f64 y (neg.f64 x)) (if (<=.f64 x 8045601589545917/191561942608236107294793378393788647952342390272950272) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -20) (.f64 y (neg.f64 x)) (if (<=.f64 x 8045601589545917/191561942608236107294793378393788647952342390272950272) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -20) (.f64 x (neg.f64 y)) (if (<=.f64 x 8045601589545917/191561942608236107294793378393788647952342390272950272) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 100 to 71 computations (29% saved)

soundness320.0ms (3.4%)

Rules

1340×	`fma-def`
786×	`fabs-mul`
740×	`associate-l`
738×	`times-frac`
708×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21
0	155	2172
1	392	2052
2	1622	2052
3	7057	2052

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 33 to 18 computations (45.5% saved)

end54.0ms (0.6%)

Compiler: Compiled 88 to 50 computations (43.2% saved)

Details

analyze181.0ms (1.9%)

sample4.3s (46.3%)

preprocess97.0ms (1%)

simplify90.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series112.0ms (1.2%)

rewrite86.0ms (0.9%)

simplify102.0ms (1.1%)

eval37.0ms (0.4%)

prune24.0ms (0.3%)

localize19.0ms (0.2%)

series8.0ms (0.1%)

rewrite58.0ms (0.6%)

simplify99.0ms (1.1%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite62.0ms (0.7%)

simplify71.0ms (0.8%)

localize12.0ms (0.1%)

series3.0ms (0%)

rewrite73.0ms (0.8%)

simplify83.0ms (0.9%)

localize13.0ms (0.1%)

series25.0ms (0.3%)

rewrite95.0ms (1%)

simplify153.0ms (1.6%)

eval293.0ms (3.1%)

prune126.0ms (1.3%)

localize22.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (0.7%)

simplify58.0ms (0.6%)

localize5.0ms (0.1%)

localize4.0ms (0%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite58.0ms (0.6%)

simplify54.0ms (0.6%)

localize5.0ms (0%)

eval105.0ms (1.1%)

prune43.0ms (0.5%)

localize23.0ms (0.2%)

series9.0ms (0.1%)

rewrite88.0ms (0.9%)

simplify130.0ms (1.4%)

localize3.0ms (0%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite60.0ms (0.6%)

simplify63.0ms (0.7%)

localize19.0ms (0.2%)

series5.0ms (0.1%)

rewrite75.0ms (0.8%)

simplify89.0ms (0.9%)

localize44.0ms (0.5%)

series1.0ms (0%)

rewrite90.0ms (1%)

simplify76.0ms (0.8%)

eval464.0ms (5%)

prune229.0ms (2.5%)

regimes61.0ms (0.6%)

regimes98.0ms (1.1%)

bsearch32.0ms (0.3%)

regimes93.0ms (1%)

bsearch24.0ms (0.3%)

regimes169.0ms (1.8%)

bsearch47.0ms (0.5%)

regimes183.0ms (2%)

bsearch39.0ms (0.4%)

regimes34.0ms (0.4%)

simplify9.0ms (0.1%)

soundness320.0ms (3.4%)

end54.0ms (0.6%)

Profiling