Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.9s (51.1%)

Results

2.0s	2156×	body	8192	exit
1.6s	6849×	body	256	valid
128.0ms	976×	body	256	infinite
90.0ms	210×	body	1024	valid
54.0ms	221×	body	512	valid

Bogosity

preprocess97.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
▶	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 40 to 28 computations (30% saved)

localize205.0ms (2.7%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 46 to 17 computations (63% saved)

series50.0ms (0.7%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
19.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	y	@	0	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	-inf	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite116.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`prod-diff`
1070×	`log-prod`
738×	`fma-def`
718×	`pow-prod-down`
536×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	266	60
2	3006	60

Stop Event

1×	node limit

Counts

4 → 362

Calls

Call 1

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

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

simplify163.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1524×	`fma-neg`
762×	`times-frac`
712×	`distribute-lft-neg-in`
664×	`unswap-sqr`
562×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	16354
1	1060	14686
2	3614	12974

Stop Event

1×	node limit

Counts

426 → 230

Calls

Call 1

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

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

eval46.0ms (0.6%)

Compiler: Compiled 4630 to 1250 computations (73% saved)

prune36.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	225	5	230
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	225	7	232

Accurracy

100.0%

Counts

232 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(-.f64 (.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
▶	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.4%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	53.0%	(*.f64 x (neg.f64 y))
▶	53.6%	(log1p.f64 (exp.f64 x))
▶	99.3%	(-.f64 (.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
▶	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.4%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	53.0%	(*.f64 x (neg.f64 y))
▶	53.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 208 to 156 computations (25% saved)

localize158.0ms (2.1%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (exp.f64 x))
✓	100.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(-.f64 (.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	100.0%	(*.f64 3 (log1p.f64 (exp.f64 x)))
✓	100.0%	(log1p.f64 (exp.f64 x))
✓	99.1%	(.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))))

Compiler

Compiled 88 to 42 computations (52.3% saved)

series8.0ms (0.1%)

Counts

8 → 123

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	y	@	inf	(*.f64 (-.f64 1/2 y) x)
0.0ms	x	@	inf	(*.f64 (-.f64 1/2 y) x)
0.0ms	x	@	0	(*.f64 (-.f64 1/2 y) x)

rewrite141.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1866×	`fma-def`
750×	`expm1-udef`
744×	`log1p-udef`
614×	`fma-neg`
432×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
1	449	112
2	5686	112

Stop Event

1×	node limit

Counts

8 → 376

Calls

Call 1

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

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

simplify185.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1778×	`times-frac`
846×	`log-prod`
654×	`fma-def`
548×	`associate-l`
546×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	609	15393
1	1387	14145
2	5016	14139

Stop Event

1×	node limit

Counts

499 → 430

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 3 (log.f64 2))
(+.f64 (.f64 3 (log.f64 2)) (.f64 3/2 x))
(+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 2)) (*.f64 3/2 x)))
(+.f64 (.f64 -1/64 (pow.f64 x 4)) (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 2)) (.f64 3/2 x))))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (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 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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))
(log1p.f64 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))))
(.f64 3 (.f64 (log1p.f64 (exp.f64 x)) 1/3))
(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 1/3))
(*.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 (.f64 3 (log1p.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3)
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 3 (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 (exp.f64 (log1p.f64 (*.f64 3 (log1p.f64 (exp.f64 x))))) 1)
(pow.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 9))
(log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (*.f64 3 (log1p.f64 (exp.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (log1p.f64 (exp.f64 x)))))
(+.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 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 x (neg.f64 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)) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (fma.f64 x (neg.f64 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 (-.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))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 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 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (pow.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (-.f64 (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))))
(/.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 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y)))) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(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))))
(log.f64 (+.f64 1 (expm1.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 1/3 (.f64 3 (log1p.f64 (exp.f64 x))) (.f64 y (neg.f64 x)))
(fma.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 3 (.f64 (log1p.f64 (exp.f64 x)) 1/3) (.f64 y (neg.f64 x)))
(fma.f64 3 (.f64 (log1p.f64 (exp.f64 x)) 1/3) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 3 (.f64 (log1p.f64 (exp.f64 x)) 1/3) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 3 (.f64 (log1p.f64 (exp.f64 x)) 1/3) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3 (.f64 y (neg.f64 x)))
(fma.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3 (.f64 (*.f64 y (neg.f64 x)) 1))
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(*.f64 1 (log1p.f64 (exp.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 1/3))
(*.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 (.f64 3 (log1p.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3)
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 3 (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 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 3 (log.f64 2))
(*.f64 (log.f64 2) 3)
(+.f64 (.f64 3 (log.f64 2)) (.f64 3/2 x))
(fma.f64 3 (log.f64 2) (*.f64 x 3/2))
(fma.f64 (log.f64 2) 3 (*.f64 x 3/2))
(+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 2)) (*.f64 3/2 x)))
(fma.f64 3/8 (.f64 x x) (fma.f64 3 (log.f64 2) (.f64 x 3/2)))
(fma.f64 (.f64 x x) 3/8 (fma.f64 (log.f64 2) 3 (.f64 x 3/2)))
(+.f64 (.f64 -1/64 (pow.f64 x 4)) (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 2)) (.f64 3/2 x))))
(fma.f64 -1/64 (pow.f64 x 4) (fma.f64 3/8 (.f64 x x) (fma.f64 3 (log.f64 2) (.f64 x 3/2))))
(fma.f64 (pow.f64 x 4) -1/64 (fma.f64 (.f64 x x) 3/8 (fma.f64 (log.f64 2) 3 (.f64 x 3/2))))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log1p.f64 (exp.f64 x)))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log1p.f64 (exp.f64 x)))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log1p.f64 (exp.f64 x)))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log1p.f64 (exp.f64 x)))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log1p.f64 (exp.f64 x)))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log1p.f64 (exp.f64 x)))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log1p.f64 (exp.f64 x)))
(*.f64 3 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 3 (log1p.f64 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(log1p.f64 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 3 (.f64 (log1p.f64 (exp.f64 x)) 1/3))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)
(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 (pow.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 1/3))
(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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (sqrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
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(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 3 (.f64 (log1p.f64 (exp.f64 x)) 1/3))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)
(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 (pow.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 1/3))
(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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (sqrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (.f64 3 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 3 (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))

eval150.0ms (2%)

Compiler: Compiled 7850 to 3490 computations (55.5% saved)

prune84.0ms (1.1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	440	3	443
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	442	8	450

Accurracy

100.0%

Counts

450 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	48.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	36.3%	(*.f64 (-.f64 1/2 y) x)
▶	53.0%	(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)
✓	53.0%	(*.f64 x (neg.f64 y))
✓	53.6%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	48.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	36.3%	(*.f64 (-.f64 1/2 y) x)
▶	53.0%	(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)
✓	53.0%	(*.f64 x (neg.f64 y))
✓	53.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 126 to 96 computations (23.8% saved)

localize104.0ms (1.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 (-.f64 1/2 y) x)
	100.0%	(*.f64 3 (log1p.f64 (exp.f64 x)))
	100.0%	(log1p.f64 (exp.f64 x))
✓	99.1%	(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)

Compiler

Compiled 48 to 30 computations (37.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`pow1`
1398×	`add-exp-log`
1398×	`log1p-expm1-u`
1398×	`expm1-log1p-u`
1368×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	197	9
2	2176	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1742×	`fma-neg`
1210×	`log-prod`
652×	`fma-def`
566×	`*-commutative`
428×	`distribute-rgt-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	257
1	100	257
2	294	257
3	1273	245
4	3033	245
5	4193	245
6	6837	245

Stop Event

1×	node limit

Counts

23 → 24

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

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

eval23.0ms (0.3%)

Compiler: Compiled 944 to 654 computations (30.7% saved)

prune27.0ms (0.4%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	90	12	102

Accurracy

100.0%

Counts

102 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	48.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	26.1%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	36.3%	(*.f64 (-.f64 1/2 y) x)
✓	53.0%	(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)
✓	53.0%	(*.f64 x (neg.f64 y))
▶	3.6%	(*.f64 1/2 x)
✓	53.6%	(log1p.f64 (exp.f64 x))
▶	47.9%	(log.f64 2)
▶	26.4%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	48.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	26.1%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	36.3%	(*.f64 (-.f64 1/2 y) x)
✓	53.0%	(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)
✓	53.0%	(*.f64 x (neg.f64 y))
▶	3.6%	(*.f64 1/2 x)
✓	53.6%	(log1p.f64 (exp.f64 x))
▶	47.9%	(log.f64 2)

Compiler

Compiled 196 to 148 computations (24.5% saved)

localize100.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	77.5%	(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
✓	100.0%	(/.f64 x (+.f64 1/2 y))
✓	81.9%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))

Compiler

Compiled 77 to 42 computations (45.5% saved)

series6.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite102.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`log-prod`
580×	`pow-exp`
534×	`log-div`
496×	`expm1-udef`
494×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	100
1	302	52
2	4198	52

Stop Event

1×	node limit

Counts

4 → 223

Calls

Call 1

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

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

simplify118.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

762×	`div-sub`
556×	`associate-r`
552×	`associate-/l*`
552×	`associate-l`
504×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	8155
1	1298	7275
2	5263	7251

Stop Event

1×	node limit

Counts

295 → 300

Calls

Call 1

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

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

eval113.0ms (1.5%)

Compiler: Compiled 4650 to 3079 computations (33.8% saved)

prune78.0ms (1%)

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	287	13	300
Fresh	0	0	0
Picked	2	2	4
Done	0	8	8
Total	289	23	312

Accurracy

100.0%

Counts

312 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.1%	(/.f64 (/.f64 x (+.f64 1/2 y)) (/.f64 1 (-.f64 1/4 (*.f64 y y))))
	36.2%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	52.9%	(/.f64 x (/.f64 -1 y))
	36.1%	(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))))
	2.8%	(/.f64 x (+.f64 2 (*.f64 y 4)))
	36.2%	(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	48.6%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	25.8%	(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
✓	36.3%	(*.f64 (-.f64 1/2 y) x)
	25.4%	(.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 -1/2 x) (.f64 y y))) (-.f64 1/4 (.f64 y y)))
	15.4%	(.f64 (.f64 (/.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
	26.1%	(.f64 (.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
	2.4%	(.f64 (.f64 x (+.f64 2 (.f64 y -4))) (-.f64 1/4 (.f64 y y)))
✓	53.0%	(.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3)
	7.0%	(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
	36.2%	(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
✓	53.0%	(*.f64 x (neg.f64 y))
✓	3.6%	(*.f64 1/2 x)
✓	53.6%	(log1p.f64 (exp.f64 x))
✓	47.9%	(log.f64 2)

Compiler

Compiled 473 to 312 computations (34% saved)

regimes49.0ms (0.6%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
13.0ms	x
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 252 to 150 computations (40.5% saved)

regimes36.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 221 to 133 computations (39.8% saved)

regimes47.0ms (0.6%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
99.3%	2	`x`
91.0%	1	`y`

Compiler

Compiled 214 to 132 computations (38.3% saved)

regimes38.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 193 to 118 computations (38.9% saved)

regimes102.0ms (1.4%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

2 calls:

61.0ms	y
27.0ms	x

Results

Accuracy	Segments	Branch
72.5%	5	`y`
86.9%	3	`x`

Compiler

Compiled 190 to 116 computations (38.9% saved)

regimes35.0ms (0.5%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
86.5%	3	`x`

Compiler

Compiled 181 to 109 computations (39.8% saved)

regimes31.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
53.0%	1	`y`
53.0%	1	`x`

Compiler

Compiled 182 to 109 computations (40.1% saved)

regimes14.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

11.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
3.6%	1	`y`
3.6%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-2039.890178904055	-0.021296263598566526

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-2039.890178904055	-0.021296263598566526

Results

19.0ms	143×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8342267637797617e-6	0.06062369040943281
22.0ms	-5.642363627046899e-26	-4.924718398123911e-31

Results

35.0ms

272×

body

256

valid

Compiler

Compiled 296 to 241 computations (18.6% saved)

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.8342267637797617e-6	0.06062369040943281
18.0ms	-5.642363627046899e-26	-4.924718398123911e-31

Results

36.0ms

272×

body

256

valid

Compiler

Compiled 228 to 190 computations (16.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
14×	`sub-neg`
14×	`*-commutative`
6×	`neg-mul-1`
6×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	252
1	70	252
2	81	252
3	86	252
4	88	252

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -112) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2676089423823675/11150372599265311570767859136324180752990208) (.f64 x (neg.f64 y)) (if (<=.f64 x 4722366482869645/1180591620717411303424) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -8885453165039545/348449143727040986586495598010130648530944) (.f64 x (neg.f64 y)) (if (<=.f64 x 6139076427730539/1180591620717411303424) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -112) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2676089423823675/11150372599265311570767859136324180752990208) (.f64 x (neg.f64 y)) (if (<=.f64 x 4722366482869645/1180591620717411303424) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -2676089423823675/11150372599265311570767859136324180752990208) (.f64 x (neg.f64 y)) (if (<=.f64 x 4722366482869645/1180591620717411303424) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8885453165039545/348449143727040986586495598010130648530944) (.f64 x (neg.f64 y)) (if (<=.f64 x 6139076427730539/1180591620717411303424) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -8885453165039545/348449143727040986586495598010130648530944) (.f64 x (neg.f64 y)) (if (<=.f64 x 6139076427730539/1180591620717411303424) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 111 to 79 computations (28.8% saved)

soundness728.0ms (9.6%)

Rules

1866×	`fma-def`
1524×	`fma-neg`
1524×	`fma-neg`
1340×	`fma-def`
786×	`fabs-mul`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	16354
1	1060	14686
2	3614	12974
0	447	16354
1	1060	14686
2	3614	12974
0	20	112
1	449	112
2	5686	112
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21

Stop Event

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

Compiler

Compiled 78 to 45 computations (42.3% saved)

end148.0ms (2%)

Compiler: Compiled 272 to 164 computations (39.7% saved)

Details

analyze0.0ms (0%)

sample3.9s (51.1%)

preprocess97.0ms (1.3%)

simplify92.0ms (1.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize205.0ms (2.7%)

series50.0ms (0.7%)

rewrite116.0ms (1.5%)

simplify163.0ms (2.2%)

eval46.0ms (0.6%)

prune36.0ms (0.5%)

localize158.0ms (2.1%)

series8.0ms (0.1%)

rewrite141.0ms (1.9%)

simplify185.0ms (2.5%)

eval150.0ms (2%)

prune84.0ms (1.1%)

localize104.0ms (1.4%)

series0.0ms (0%)

rewrite67.0ms (0.9%)

simplify72.0ms (1%)

eval23.0ms (0.3%)

prune27.0ms (0.4%)

localize100.0ms (1.3%)

series6.0ms (0.1%)

rewrite102.0ms (1.3%)

simplify118.0ms (1.6%)

eval113.0ms (1.5%)

prune78.0ms (1%)

regimes49.0ms (0.6%)

regimes36.0ms (0.5%)

regimes47.0ms (0.6%)

regimes38.0ms (0.5%)

regimes102.0ms (1.4%)

regimes35.0ms (0.5%)

regimes31.0ms (0.4%)

regimes14.0ms (0.2%)

bsearch19.0ms (0.3%)

bsearch21.0ms (0.3%)

bsearch38.0ms (0.5%)

bsearch40.0ms (0.5%)

simplify10.0ms (0.1%)

soundness728.0ms (9.6%)

end148.0ms (2%)

Profiling