Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample2.9s (38.5%)

Results

1.7s	2236×	body	8192	exit
907.0ms	6834×	body	256	valid
163.0ms	998×	body	256	infinite
83.0ms	199×	body	1024	valid
54.0ms	225×	body	512	valid

Bogosity

preprocess97.0ms (1.3%)

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)

simplify89.0ms (1.2%)

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

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

99.3%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize38.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series54.0ms (0.7%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
20.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite66.0ms (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)))

simplify87.0ms (1.2%)

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))

localize40.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 7 computations (63.2% saved)

eval21.0ms (0.3%)

Compiler: Compiled 1405 to 529 computations (62.3% saved)

prune24.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	102	5	107

Accurracy

99.7%

Counts

107 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.5%	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
▶	93.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	84.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	52.2%	(*.f64 y (neg.f64 x))

Compiler

Compiled 90 to 68 computations (24.4% saved)

localize69.0ms (0.9%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
	99.2%	(log1p.f64 (exp.f64 x))
✓	99.0%	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)

Compiler

Compiled 37 to 18 computations (51.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`fma-def`
1134×	`log-prod`
772×	`pow-prod-down`
550×	`pow-exp`
548×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	264	30
2	3785	30

Stop Event

1×	node limit

Counts

2 → 224

Calls

Call 1

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

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

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1566×	`fma-neg`
812×	`unswap-sqr`
592×	`times-frac`
566×	`fma-def`
354×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	9136
1	1016	8866
2	3436	8814

Stop Event

1×	node limit

Counts

260 → 284

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

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

localize19.0ms (0.2%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize33.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series4.0ms (0.1%)

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))

rewrite58.0ms (0.8%)

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 (0.9%)

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))

localize46.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 25 to 18 computations (28% saved)

series3.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite73.0ms (1%)

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

Outputs
(-.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))
(+.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)))

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	3335
1	485	2739
2	1449	2681
3	6112	2681

Stop Event

1×	node limit

Counts

115 → 114

Calls

Call 1

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

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

localize35.0ms (0.5%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

eval129.0ms (1.7%)

Compiler: Compiled 7834 to 4070 computations (48% saved)

prune73.0ms (1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	468	6	474
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	470	9	479

Accurracy

99.7%

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	92.5%	(-.f64 (-.f64 (+.f64 1 (log.f64 2)) 1) (*.f64 x y))
✓	93.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	50.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	67.7%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
▶	37.1%	(*.f64 (-.f64 1/2 y) x)
✓	52.2%	(*.f64 y (neg.f64 x))
▶	50.3%	(log.f64 2)
	67.7%	(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

Compiler

Compiled 130 to 106 computations (18.5% saved)

localize50.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 32 to 25 computations (21.9% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`fma-def`
1084×	`log-prod`
732×	`pow-prod-down`
530×	`pow-exp`
504×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	265	22
2	3763	22

Stop Event

1×	node limit

Counts

2 → 221

Calls

Call 1

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

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

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1218×	`fma-neg`
868×	`cancel-sign-sub-inv`
826×	`unswap-sqr`
544×	`times-frac`
488×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	6103
1	947	5829
2	3167	5745

Stop Event

1×	node limit

Counts

245 → 262

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

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

localize22.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize18.0ms (0.2%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize33.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 17 to 14 computations (17.6% 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 (0.8%)

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))

simplify56.0ms (0.7%)

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))

localize69.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
✓	99.2%	(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
✓	89.4%	(log1p.f64 (*.f64 (-.f64 1/2 y) x))

Compiler

Compiled 40 to 29 computations (27.5% saved)

series4.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms	y	@	inf	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms	x	@	-inf	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
0.0ms	y	@	-inf	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
0.0ms	x	@	inf	(log1p.f64 (*.f64 (-.f64 1/2 y) x))

rewrite81.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`log-prod`
736×	`pow-prod-down`
684×	`fma-def`
552×	`pow-exp`
548×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	258	49
2	3284	49

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

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

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1716×	`times-frac`
1110×	`fma-neg`
894×	`cancel-sign-sub-inv`
508×	`fma-def`
508×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	6523
1	1014	5607
2	3391	5559

Stop Event

1×	node limit

Counts

211 → 258

Calls

Call 1

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

eval312.0ms (4.2%)

Compiler: Compiled 11076 to 8252 computations (25.5% saved)

prune108.0ms (1.4%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	635	7	642
Fresh	1	0	1
Picked	1	0	1
Done	0	7	7
Total	637	14	651

Accurracy

99.7%

Counts

651 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	23.9%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
✓	92.5%	(-.f64 (-.f64 (+.f64 1 (log.f64 2)) 1) (*.f64 x y))
✓	93.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	37.1%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	50.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	49.6%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
	45.5%	(+.f64 (expm1.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 2))
▶	25.0%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	37.1%	(*.f64 (-.f64 1/2 y) x)
✓	52.2%	(*.f64 y (neg.f64 x))
▶	3.7%	(*.f64 1/2 x)
✓	50.3%	(log.f64 2)
▶	49.6%	(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))

Compiler

Compiled 201 to 158 computations (21.4% saved)

localize126.0ms (1.7%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 1/2 x (log.f64 2))
✓	100.0%	(log.f64 (fma.f64 1/2 x (log.f64 2)))
✓	99.4%	(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))

Compiler

Compiled 26 to 22 computations (15.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`pow1`
1368×	`log1p-expm1-u`
1368×	`expm1-log1p-u`
1366×	`add-exp-log`
1332×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	178	43
2	1881	43

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))

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

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1164×	`fma-def`
776×	`unswap-sqr`
726×	`log-prod`
684×	`fma-neg`
410×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	2054
1	356	1976
2	1290	1942
3	5613	1942

Stop Event

1×	node limit

Counts

104 → 90

Calls

Call 1

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

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

localize16.0ms (0.2%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize29.0ms (0.4%)

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 23 to 11 computations (52.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	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)))

rewrite71.0ms (0.9%)

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))

simplify72.0ms (1%)

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))

localize38.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 1/2 y))
✓	81.8%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite78.0ms (1%)

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))))

simplify71.0ms (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)))
(/.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 1/2 x)
(*.f64 x 1/2)
(+.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 (.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 (.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 2 x)
(+.f64 (.f64 2 x) (.f64 -4 (*.f64 y x)))
(fma.f64 2 x (.f64 (.f64 y x) -4))
(.f64 x (+.f64 2 (.f64 y -4)))
(*.f64 x (fma.f64 y -4 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 -4 (.f64 y x)) (.f64 8 (*.f64 (pow.f64 y 2) x))))
(fma.f64 2 x (fma.f64 -4 (.f64 y x) (.f64 8 (.f64 x (.f64 y y)))))
(fma.f64 2 x (.f64 x (+.f64 (.f64 y -4) (.f64 8 (.f64 y y)))))
(.f64 x (+.f64 2 (.f64 y (+.f64 -4 (*.f64 8 y)))))
(+.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)))))
(fma.f64 -16 (.f64 x (pow.f64 y 3)) (fma.f64 2 x (fma.f64 -4 (.f64 y x) (.f64 8 (.f64 x (*.f64 y y))))))
(fma.f64 -16 (.f64 x (pow.f64 y 3)) (fma.f64 2 x (.f64 x (+.f64 (.f64 y -4) (.f64 8 (*.f64 y y))))))
(.f64 x (+.f64 (.f64 y (+.f64 -4 (*.f64 8 y))) (fma.f64 -16 (pow.f64 y 3) 2)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (.f64 y y))))
(fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y))
(*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y))
(+.f64 (.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (.f64 y y)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y))))
(+.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))))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (fma.f64 -1/2 (/.f64 x (.f64 y y)) (.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/2 (/.f64 x (.f64 y y)) (.f64 -1/8 (/.f64 x (pow.f64 y 4)))) (fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 1/4 y) -1/2)) (fma.f64 -1/8 (/.f64 x (pow.f64 y 4)) (/.f64 x y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (.f64 y y))))
(fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y))
(*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y))
(+.f64 (.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (.f64 y y)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y))))
(+.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))))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (fma.f64 -1/2 (/.f64 x (.f64 y y)) (.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/2 (/.f64 x (.f64 y y)) (.f64 -1/8 (/.f64 x (pow.f64 y 4)))) (fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 1/4 y) -1/2)) (fma.f64 -1/8 (/.f64 x (pow.f64 y 4)) (/.f64 x y)))
(+.f64 0 (*.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 (/.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)))
(+.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 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 (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 (*.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 (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 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.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))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(.f64 (/.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 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.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 1 (/.f64 (+.f64 1/2 y) (.f64 x (-.f64 1/4 (.f64 y 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 (+.f64 y 1/2) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6))))
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(*.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))

localize47.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	94.8%	(.f64 (-.f64 1/4 (.f64 y y)) x)
✓	89.2%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite82.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1202×	`log-prod`
762×	`pow-prod-down`
530×	`pow-prod-up`
516×	`pow-exp`
444×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	250	32
2	3457	32

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

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

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1200×	`fma-def`
1170×	`times-frac`
790×	`associate-*r/`
694×	`unswap-sqr`
632×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	3657
1	580	3095
2	2061	3025

Stop Event

1×	node limit

Counts

133 → 133

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

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

eval212.0ms (2.8%)

Compiler: Compiled 7206 to 4903 computations (32% saved)

prune81.0ms (1.1%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	456	11	467
Fresh	0	2	2
Picked	1	0	1
Done	2	9	11
Total	459	22	481

Accurracy

99.7%

Counts

481 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
	24.9%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
	2.2%	(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 y y) -1/4)) (.f64 x (+.f64 y -1/2)))
	2.8%	(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
✓	92.5%	(-.f64 (-.f64 (+.f64 1 (log.f64 2)) 1) (*.f64 x y))
✓	93.2%	(-.f64 (log.f64 2) (*.f64 x y))
✓	50.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	49.6%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
	45.5%	(+.f64 (expm1.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 2))
	25.1%	(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
✓	37.1%	(*.f64 (-.f64 1/2 y) x)
	24.1%	(.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (.f64 y y)))
	24.3%	(.f64 (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (.f64 y y)))) (-.f64 1/4 (.f64 y y)))
	2.5%	(*.f64 (+.f64 1/2 y) x)
	24.5%	(.f64 (.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
	7.9%	(.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)))
	8.1%	(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
✓	52.2%	(*.f64 y (neg.f64 x))
✓	3.7%	(*.f64 1/2 x)
✓	50.3%	(log.f64 2)
✓	49.6%	(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))

Compiler

Compiled 252 to 184 computations (27% saved)

regimes47.0ms (0.6%)

Counts

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

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

Calls

3 calls:

16.0ms	y
14.0ms	x
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 318 to 191 computations (39.9% saved)

regimes38.0ms (0.5%)

Counts

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 265 to 152 computations (42.6% saved)

regimes38.0ms (0.5%)

Counts

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

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

Calls

2 calls:

21.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
99.7%	2	`x`
93.2%	1	`y`

Compiler

Compiled 227 to 132 computations (41.9% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-1058.3689416327263	-5.3742542512760046e-20

Results

21.0ms

176×

body

256

valid

Compiler

Compiled 214 to 166 computations (22.4% saved)

regimes38.0ms (0.5%)

Counts

20 → 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 (*.f64 x 1/4) (+.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 x (+.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 (.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 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:

22.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
93.2%	1	`y`

Compiler

Compiled 203 to 116 computations (42.9% saved)

bsearch28.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-1058.3689416327263	-5.3742542512760046e-20

Results

21.0ms	156×	body	256	valid
4.0ms	19×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 192 to 144 computations (25% saved)

regimes77.0ms (1%)

Counts

19 → 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 (*.f64 x 1/4) (+.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 x (+.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 (.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 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))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)

Calls

2 calls:

44.0ms	y
27.0ms	x

Results

Accuracy	Segments	Branch
86.7%	3	`x`
78.3%	5	`y`

Compiler

Compiled 197 to 112 computations (43.1% saved)

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.0793282697527326e-16	5.314334305542295e-6
19.0ms	-5.852359329070876e-27	-1.0708121588992193e-32

Results

36.0ms

304×

body

256

valid

Compiler

Compiled 254 to 212 computations (16.5% saved)

regimes24.0ms (0.3%)

Accuracy

Total -32.9b remaining (-107.6%)

Threshold costs -32.9b (-107.6%)

Counts

17 → 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 (*.f64 x 1/4) (+.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 x (+.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 (.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 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:

9.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`y`

Compiler

Compiled 189 to 105 computations (44.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-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	37	187
1	57	187
2	70	187
3	74	187
4	75	187

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -110) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2026691723642463/1427247692705959881058285969449495136382746624) (.f64 y (neg.f64 x)) (if (<=.f64 x 2050338190066411/38685626227668133590597632) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -110) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -110) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2026691723642463/1427247692705959881058285969449495136382746624) (.f64 y (neg.f64 x)) (if (<=.f64 x 2050338190066411/38685626227668133590597632) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -2026691723642463/1427247692705959881058285969449495136382746624) (.f64 y (neg.f64 x)) (if (<=.f64 x 2050338190066411/38685626227668133590597632) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -2026691723642463/1427247692705959881058285969449495136382746624) (.f64 x (neg.f64 y)) (if (<=.f64 x 2050338190066411/38685626227668133590597632) (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 84 to 59 computations (29.8% saved)

soundness507.0ms (6.8%)

Rules

1340×	`fma-def`
1340×	`fma-def`
786×	`fabs-mul`
786×	`fabs-mul`
740×	`associate-l`

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

Stop Event

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

Compiler

Compiled 90 to 47 computations (47.8% saved)

end73.0ms (1%)

Compiler: Compiled 222 to 130 computations (41.4% saved)

Details

analyze0.0ms (0%)

sample2.9s (38.5%)

preprocess97.0ms (1.3%)

simplify89.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize38.0ms (0.5%)

series54.0ms (0.7%)

rewrite66.0ms (0.9%)

simplify87.0ms (1.2%)

localize40.0ms (0.5%)

eval21.0ms (0.3%)

prune24.0ms (0.3%)

localize69.0ms (0.9%)

series1.0ms (0%)

rewrite90.0ms (1.2%)

simplify119.0ms (1.6%)

localize19.0ms (0.2%)

localize33.0ms (0.4%)

series4.0ms (0.1%)

rewrite58.0ms (0.8%)

simplify71.0ms (0.9%)

localize46.0ms (0.6%)

series3.0ms (0%)

rewrite73.0ms (1%)

simplify85.0ms (1.1%)

localize35.0ms (0.5%)

eval129.0ms (1.7%)

prune73.0ms (1%)

localize50.0ms (0.7%)

series0.0ms (0%)

rewrite92.0ms (1.2%)

simplify96.0ms (1.3%)

localize22.0ms (0.3%)

localize18.0ms (0.2%)

localize33.0ms (0.4%)

series0.0ms (0%)

rewrite58.0ms (0.8%)

simplify56.0ms (0.7%)

localize69.0ms (0.9%)

series4.0ms (0.1%)

rewrite81.0ms (1.1%)

simplify98.0ms (1.3%)

eval312.0ms (4.2%)

prune108.0ms (1.4%)

localize126.0ms (1.7%)

series2.0ms (0%)

rewrite65.0ms (0.9%)

simplify76.0ms (1%)

localize16.0ms (0.2%)

localize29.0ms (0.4%)

series2.0ms (0%)

rewrite71.0ms (0.9%)

simplify72.0ms (1%)

localize38.0ms (0.5%)

series6.0ms (0.1%)

rewrite78.0ms (1%)

simplify71.0ms (0.9%)

localize47.0ms (0.6%)

series2.0ms (0%)

rewrite82.0ms (1.1%)

simplify70.0ms (0.9%)

eval212.0ms (2.8%)

prune81.0ms (1.1%)

regimes47.0ms (0.6%)

regimes38.0ms (0.5%)

regimes38.0ms (0.5%)

bsearch24.0ms (0.3%)

regimes38.0ms (0.5%)

bsearch28.0ms (0.4%)

regimes77.0ms (1%)

bsearch40.0ms (0.5%)

regimes24.0ms (0.3%)

simplify9.0ms (0.1%)

soundness507.0ms (6.8%)

end73.0ms (1%)

Profiling