Metrics for Logistic regression 2

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.0s (46.8%)

Results

1.7s	2163×	body	8192	exit
1.0s	6884×	body	256	valid
127.0ms	952×	body	256	infinite
91.0ms	188×	body	1024	valid
56.0ms	232×	body	512	valid

Bogosity

preprocess93.0ms (1.5%)

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)

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

98.9%

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize56.0ms (0.9%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	98.9%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	98.9%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 36 to 9 computations (75% saved)

series48.0ms (0.8%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
18.0ms	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))

rewrite74.0ms (1.2%)

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	39
1	187	39
2	2458	39

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

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)))
(-.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))

simplify87.0ms (1.4%)

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	2474
1	392	2354
2	1622	2354
3	7057	2354

Stop Event

1×	node limit

Counts

118 → 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)))
(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)))
(-.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)))
(-.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))

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))
(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))
(-.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))
(-.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))

eval20.0ms (0.3%)

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

prune21.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	101	6	107

Accurracy

100.0%

Counts

107 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.8%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	98.9%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	54.6%	(*.f64 y (neg.f64 x))
▶	91.8%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	98.9%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	54.6%	(*.f64 y (neg.f64 x))

Compiler

Compiled 190 to 140 computations (26.3% saved)

localize243.0ms (3.8%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	100.0%	(log1p.f64 (log1p.f64 (exp.f64 x)))
✓	99.9%	(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
	98.9%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 88 to 39 computations (55.7% saved)

series57.0ms (0.9%)

Counts

7 → 123

Calls

36 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(log1p.f64 (log1p.f64 (exp.f64 x)))
13.0ms	x	@	inf	(log1p.f64 (log1p.f64 (exp.f64 x)))
4.0ms	x	@	inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
3.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))

rewrite123.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`fma-def`
702×	`expm1-udef`
698×	`log1p-udef`
452×	`add-sqr-sqrt`
442×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	109
1	440	101
2	6132	97

Stop Event

1×	node limit

Counts

7 → 363

Calls

Call 1

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

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

simplify205.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1056×	`cancel-sign-sub-inv`
738×	`fma-neg`
674×	`log-prod`
594×	`fma-def`
436×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	599	15092
1	1353	14718
2	4558	14358

Stop Event

1×	node limit

Counts

486 → 429

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

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

eval237.0ms (3.7%)

Compiler: Compiled 7549 to 3652 computations (51.6% saved)

prune69.0ms (1.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	452	2	454
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	452	8	460

Accurracy

100.0%

Counts

460 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.8%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	98.9%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	47.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	37.3%	(*.f64 (-.f64 1/2 y) x)
✓	54.6%	(*.f64 y (neg.f64 x))
✓	91.8%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	98.9%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	47.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	37.3%	(*.f64 (-.f64 1/2 y) x)
✓	54.6%	(*.f64 y (neg.f64 x))

Compiler

Compiled 134 to 100 computations (25.4% saved)

localize53.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series18.0ms (0.3%)

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))

rewrite61.0ms (1%)

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))

simplify59.0ms (0.9%)

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))

eval26.0ms (0.4%)

Compiler: Compiled 837 to 654 computations (21.9% saved)

prune24.0ms (0.4%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	66	14	80

Accurracy

100.0%

Counts

80 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.8%	(fma.f64 x (neg.f64 y) (log.f64 2))
	2.1%	(/.f64 (+.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
▶	2.2%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	98.9%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	37.3%	(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
✓	47.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	37.3%	(*.f64 (-.f64 1/2 y) x)
✓	54.6%	(*.f64 y (neg.f64 x))
▶	2.5%	(*.f64 x (+.f64 1/2 y))
▶	3.5%	(*.f64 1/2 x)
▶	47.4%	(log.f64 2)
✓	91.8%	(fma.f64 x (neg.f64 y) (log.f64 2))
	2.1%	(/.f64 (+.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
▶	2.2%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	98.9%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	37.3%	(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
✓	47.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	37.3%	(*.f64 (-.f64 1/2 y) x)
✓	54.6%	(*.f64 y (neg.f64 x))
▶	2.5%	(*.f64 x (+.f64 1/2 y))
▶	3.5%	(*.f64 1/2 x)
▶	47.4%	(log.f64 2)

Compiler

Compiled 346 to 256 computations (26% saved)

localize114.0ms (1.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	90.3%	(/.f64 (.f64 (+.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
✓	89.7%	(.f64 (+.f64 1/4 (.f64 y y)) x)
✓	100.0%	(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
✓	100.0%	(*.f64 x (+.f64 1/2 y))

Compiler

Compiled 79 to 43 computations (45.6% saved)

series7.0ms (0.1%)

Counts

4 → 87

Calls

24 calls:

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

rewrite123.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`log-prod`
1260×	`fma-def`
606×	`expm1-udef`
602×	`log1p-udef`
536×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	410	68
2	5752	68

Stop Event

1×	node limit

Counts

4 → 429

Calls

Call 1

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

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

simplify197.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1440×	`fma-neg`
656×	`log-prod`
630×	`div-sub`
506×	`fma-def`
440×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	573	14532
1	1428	12608
2	4969	12464

Stop Event

1×	node limit

Counts

516 → 389

Calls

Call 1

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

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

eval170.0ms (2.7%)

Compiler: Compiled 6256 to 3422 computations (45.3% saved)

prune68.0ms (1.1%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	381	8	389
Fresh	0	1	1
Picked	2	3	5
Done	0	8	8
Total	383	20	403

Accurracy

100.0%

Counts

403 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.8%	(fma.f64 x (neg.f64 y) (log.f64 2))
	2.1%	(/.f64 (+.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	2.6%	(/.f64 (*.f64 x 1/4) (+.f64 y 1/2))
	2.1%	(-.f64 (+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/4 (/.f64 x y)) (.f64 y x))) (.f64 -1/4 (/.f64 x y)))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	98.9%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	10.8%	(+.f64 (.f64 (.f64 x 4) (.f64 y y)) (.f64 x (-.f64 1/2 y)))
	10.9%	(+.f64 (.f64 y (.f64 y (.f64 x 4))) (.f64 x (-.f64 1/2 y)))
	2.5%	(+.f64 (.f64 x (+.f64 1/2 y)) (+.f64 (.f64 x y) (*.f64 x y)))
✓	47.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	37.3%	(*.f64 (-.f64 1/2 y) x)
✓	54.6%	(*.f64 y (neg.f64 x))
	2.1%	(*.f64 y x)
	2.5%	(*.f64 x (+.f64 (+.f64 y y) (+.f64 1/2 y)))
	2.6%	(*.f64 x (+.f64 y -1/2))
✓	2.5%	(*.f64 x (+.f64 1/2 y))
✓	3.5%	(*.f64 1/2 x)
✓	47.4%	(log.f64 2)

Compiler

Compiled 386 to 241 computations (37.6% saved)

regimes38.0ms (0.6%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
12.0ms	y
8.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 209 to 118 computations (43.5% saved)

regimes33.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
10.0ms	y
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 193 to 114 computations (40.9% saved)

regimes52.0ms (0.8%)

Counts

20 → 2

Calls

Call 1

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

27.0ms	y
18.0ms	x

Results

Accuracy	Segments	Branch
99.8%	2	`x`
93.7%	3	`y`

Compiler

Compiled 166 to 99 computations (40.4% saved)

regimes22.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

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

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 149 to 87 computations (41.6% saved)

regimes118.0ms (1.9%)

Counts

17 → 3

Calls

Call 1

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

87.0ms	y
26.0ms	x

Results

Accuracy	Segments	Branch
72.8%	7	`y`
88.4%	3	`x`

Compiler

Compiled 146 to 86 computations (41.1% saved)

regimes20.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
54.6%	1	`y`
54.6%	1	`x`

Compiler

Compiled 138 to 79 computations (42.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -1.2b remaining (-1.9%)

Threshold costs -1.2b (-1.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 x)

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch43.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-226258108733222530.0	-334.3511095263242

Results

18.0ms	113×	body	256	valid
15.0ms	35×	body	1024	valid
5.0ms	2×	body	2048	valid
3.0ms	10×	body	512	valid

Compiler

Compiled 196 to 152 computations (22.4% saved)

bsearch39.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-226258108733222530.0	-334.3511095263242

Results

17.0ms	108×	body	256	valid
15.0ms	34×	body	1024	valid
4.0ms	16×	body	512	valid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 176 to 132 computations (25% saved)

bsearch41.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.1907034848172427e-71	2.7245757994246566e-62
21.0ms	-3.7483381217788683e-59	-6.274402482180202e-65

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 241 to 201 computations (16.6% saved)

simplify10.0ms (0.2%)

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	35	187
1	55	187
2	68	187
3	72	187
4	73	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 -340) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -340) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (.f64 y (neg.f64 x)) (if (<=.f64 x 8256342791959349/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (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 -340) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -340) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -340) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -340) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -340) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (.f64 y (neg.f64 x)) (if (<=.f64 x 8256342791959349/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (.f64 y (neg.f64 x)) (if (<=.f64 x 8256342791959349/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (.f64 x (neg.f64 y)) (if (<=.f64 x 8256342791959349/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (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)

soundness505.0ms (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	2474
1	392	2354
2	1622	2354
3	7057	2354
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)

end96.0ms (1.5%)

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

analyze0.0ms (0%)

sample3.0s (46.8%)

preprocess93.0ms (1.5%)

simplify86.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize56.0ms (0.9%)

series48.0ms (0.8%)

rewrite74.0ms (1.2%)

simplify87.0ms (1.4%)

eval20.0ms (0.3%)

prune21.0ms (0.3%)

localize243.0ms (3.8%)

series57.0ms (0.9%)

rewrite123.0ms (1.9%)

simplify205.0ms (3.2%)

eval237.0ms (3.7%)

prune69.0ms (1.1%)

localize53.0ms (0.8%)

series18.0ms (0.3%)

rewrite61.0ms (1%)

simplify59.0ms (0.9%)

eval26.0ms (0.4%)

prune24.0ms (0.4%)

localize114.0ms (1.8%)

series7.0ms (0.1%)

rewrite123.0ms (1.9%)

simplify197.0ms (3.1%)

eval170.0ms (2.7%)

prune68.0ms (1.1%)

regimes38.0ms (0.6%)

regimes33.0ms (0.5%)

regimes52.0ms (0.8%)

regimes22.0ms (0.3%)

regimes118.0ms (1.9%)

regimes20.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch43.0ms (0.7%)

bsearch39.0ms (0.6%)

bsearch41.0ms (0.6%)

simplify10.0ms (0.2%)

soundness505.0ms (8%)

end96.0ms (1.5%)

Profiling