Details

analyze142.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.4s (46.4%)

Results

2.2s	2471×	body	8192	exit
1.0s	7786×	body	256	valid
106.0ms	229×	body	1024	valid
69.0ms	241×	body	512	valid
20.0ms	146×	body	256	infinite

Bogosity

preprocess86.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1194×	`associate-/r/`
856×	`fma-def`
832×	`unswap-sqr`
784×	`*-commutative`
694×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	32	42
2	45	42
3	70	42
4	100	42
5	179	42
6	280	42
7	367	42
8	530	42
9	740	42
10	823	42
11	864	42
12	1012	42
13	1553	42
14	3299	42
15	6026	42
16	7316	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))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-l`
912×	`associate-/r*`
776×	`fma-def`
728×	`associate-/l*`
628×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	51	21
4	69	21
5	113	21
6	188	21
7	238	21
8	329	21
9	490	21
10	544	21
11	571	21
12	650	21
13	931	21
14	1815	21
15	5167	21
16	6110	21

Stop Event

1×	node limit

Counts

1 → 2

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))

eval0.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.01%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series13.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
4.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
3.0ms	y	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2.0ms	x	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`add-sqr-sqrt`
1934×	`*-un-lft-identity`
1798×	`add-cube-cbrt`
1778×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	187	21
2	2428	21

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))))

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-+l+`
1020×	`fma-def`
644×	`associate-/r/`
558×	`associate--r+`
536×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	1891
1	351	1771
2	1468	1771
3	5042	1771

Stop Event

1×	node limit

Counts

63 → 61

Calls

Call 1

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

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

eval15.0ms (0.2%)

Compiler: Compiled 910 to 317 computations (65.2% saved)

prune12.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	6	62

Error

Counts

62 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	25.79%	(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
▶	17.24%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	55.45%	(*.f64 y (neg.f64 x))
▶	42.48%	(log1p.f64 (exp.f64 x))
▶	43.04%	(log.f64 2)
▶	17.58%	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))

Compiler

Compiled 138 to 92 computations (33.3% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite73.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`*-commutative`
898×	`associate-*r/`
732×	`associate-*l/`
606×	`swap-sqr`
572×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	238	19
2	3046	19

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1/2 y) x))) (-.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (.f64 (-.f64 1/2 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule 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Outputs

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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))))

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-/r*`
1426×	`associate-*r/`
1018×	`*-commutative`
850×	`associate-*l/`
806×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	228	6091
1	650	5257
2	2873	5257

Stop Event

1×	node limit

Counts

93 → 142

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
	0.01%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	1.56%	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
3.0ms	x	@	inf	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	x	@	-inf	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	x	@	0	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
0.0ms	y	@	inf	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

rewrite103.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`*-commutative`
790×	`unswap-sqr`
570×	`swap-sqr`
548×	`distribute-lft-in`
542×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	225	46
2	2660	46

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 0)))) 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simplify187.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def`
924×	`associate-+l+`
884×	`associate-+r+`
742×	`+-commutative`
644×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	625	15700
1	1814	14204

Stop Event

1×	node limit

Counts

252 → 370

Calls

Call 1

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

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

eval358.0ms (4.9%)

Compiler: Compiled 16147 to 8122 computations (49.7% saved)

prune145.0ms (2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	570	3	573
Fresh	1	0	1
Picked	1	0	1
Done	0	4	4
Total	572	7	579

Error

Counts

579 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.49%	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (-.f64 (*.f64 x y) -1))
✓	17.24%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	43.03%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	71.93%	(*.f64 (-.f64 1/2 y) x)
✓	55.45%	(*.f64 y (neg.f64 x))
✓	42.48%	(log1p.f64 (exp.f64 x))
✓	43.04%	(log.f64 2)

Compiler

Compiled 53 to 42 computations (20.8% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize27.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 1/2 x) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`add-sqr-sqrt`
1824×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1692×	`add-cbrt-cube`
182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	13
2	2282	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))))

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-r`
1134×	`associate-/r*`
1022×	`associate-l`
686×	`associate-+r+`
560×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1074
1	237	1044
2	812	976
3	4402	976

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize28.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (log1p.f64 (exp.f64 x)) 1)
✓	0.01%	(-.f64 (*.f64 x y) -1)
✓	2.14%	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (-.f64 (*.f64 x y) -1))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series38.0ms (0.5%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(+.f64 (log1p.f64 (exp.f64 x)) 1)
9.0ms	x	@	-inf	(+.f64 (log1p.f64 (exp.f64 x)) 1)
0.0ms	x	@	0	(-.f64 (*.f64 x y) -1)
0.0ms	x	@	0	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (-.f64 (*.f64 x y) -1))
0.0ms	x	@	0	(+.f64 (log1p.f64 (exp.f64 x)) 1)

rewrite145.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`associate-*l/`
1542×	`distribute-lft-in`
486×	`associate-+l+`
426×	`associate-/r*`
342×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	282	53
2	3733	45

Stop Event

1×	node limit

Counts

3 → 340

Calls

Call 1

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

Outputs

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(log1p.f64 (exp.f64 x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (E.f64) (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)))))

simplify190.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-/l*`
1078×	`associate-r`
944×	`associate-l`
940×	`+-commutative`
716×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	873	23638
1	2750	22676

Stop Event

1×	node limit

Counts

400 → 567

Calls

Call 1

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

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

eval332.0ms (4.5%)

Compiler: Compiled 17959 to 10016 computations (44.2% saved)

prune203.0ms (2.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	610	2	612
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	611	8	619

Error

Counts

619 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.11%	(-.f64 (+.f64 (log.f64 2) 1) (-.f64 (*.f64 x y) -1))
✓	17.24%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	43.03%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	71.93%	(*.f64 (-.f64 1/2 y) x)
✓	55.45%	(*.f64 y (neg.f64 x))
▶	96.58%	(*.f64 1/2 x)
✓	42.48%	(log1p.f64 (exp.f64 x))
✓	43.04%	(log.f64 2)

Compiler

Compiled 57 to 46 computations (19.3% saved)

localize14.0ms (0.2%)

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(-.f64 (*.f64 x y) -1)
✓	1%	(-.f64 (+.f64 (log.f64 2) 1) (-.f64 (*.f64 x y) -1))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite145.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`associate-*l/`
1448×	`distribute-lft-in`
480×	`associate-+l+`
428×	`associate-/r*`
342×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	283	25
2	3709	17

Stop Event

1×	node limit

Counts

1 → 196

Calls

Call 1

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

Outputs

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x y) 2)))) (+.f64 (log.f64 2) -1)) (fma.f64 x y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (log.f64 2) (log.f64 2) -1) (+.f64 (pow.f64 (*.f64 x y) 2) (+.f64 1 (*.f64 x (*.f64 y -1))))) (*.f64 (+.f64 (log.f64 2) -1) (+.f64 1 (pow.f64 (*.f64 x y) 3)))) (+.f64 (log.f64 2) -1)) (+.f64 (pow.f64 (*.f64 x y) 2) (+.f64 1 (*.f64 x (*.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (fma.f64 x y -1)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))) (+.f64 -1 (pow.f64 (*.f64 x y) 2)))) (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))) (fma.f64 x y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (+.f64 1 (*.f64 x (*.f64 y -1))))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))) (+.f64 1 (pow.f64 (*.f64 x y) 3)))) (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))) 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(-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (-.f64 0 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 2) 1) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (-.f64 0 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 2))) (hypot.f64 1 (sqrt.f64 (log.f64 2))) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (-.f64 0 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (cbrt.f64 (+.f64 (log.f64 2) 1)) (-.f64 -1 (*.f64 x y)))))))

simplify199.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1546×	`associate--l+`
864×	`fma-def`
662×	`+-commutative`
614×	`distribute-lft-in`
594×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	510	13566
1	1661	13040
2	7708	12682

Stop Event

1×	node limit

Counts

220 → 304

Calls

Call 1

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

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (-.f64 0 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (.f64 (-.f64 0 (.f64 x y)) 1))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 1 (.f64 (-.f64 -1 (.f64 x y)) 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (-.f64 0 (.f64 x y)) (fma.f64 (-.f64 -1 (.f64 x y)) 1 (fma.f64 x y 1))))
(+.f64 (+.f64 (fma.f64 (neg.f64 x) y -1) (fma.f64 x y 1)) (-.f64 (log.f64 2) (*.f64 y x)))
(-.f64 (+.f64 (-.f64 (log.f64 2) (fma.f64 y x 1)) (fma.f64 y x 1)) (*.f64 y x))
(+.f64 (fma.f64 y (neg.f64 x) (log.f64 2)) (.f64 0 (.f64 y x)))
(+.f64 (log.f64 2) (+.f64 (.f64 (-.f64 0 (.f64 x y)) 1) (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1))))
(+.f64 (+.f64 (fma.f64 (neg.f64 x) y -1) (fma.f64 x y 1)) (-.f64 (log.f64 2) (*.f64 y x)))
(-.f64 (+.f64 (-.f64 (log.f64 2) (fma.f64 y x 1)) (fma.f64 y x 1)) (*.f64 y x))
(+.f64 (fma.f64 y (neg.f64 x) (log.f64 2)) (.f64 0 (.f64 y x)))
(+.f64 (log.f64 2) (+.f64 (-.f64 0 (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1)) (-.f64 (log.f64 2) (*.f64 y x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y x 1))) (sqrt.f64 (fma.f64 y x 1)) (fma.f64 y x 1)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 (-.f64 0 (.f64 x y)) 1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1)) (-.f64 (log.f64 2) (*.f64 y x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y x 1))) (sqrt.f64 (fma.f64 y x 1)) (fma.f64 y x 1)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (-.f64 0 (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (fma.f64 x y 1))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (fma.f64 x y 1)) (-.f64 (log.f64 2) (*.f64 y x)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y x 1))) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (fma.f64 y x 1)) (*.f64 y x)))
(+.f64 (log.f64 2) (+.f64 (.f64 (-.f64 0 (.f64 x y)) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (fma.f64 x y 1))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (fma.f64 x y 1)) (-.f64 (log.f64 2) (*.f64 y x)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y x 1))) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (fma.f64 y x 1)) (*.f64 y x)))
(+.f64 (log.f64 2) (.f64 1 (.f64 (-.f64 0 (*.f64 x y)) 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 1 (-.f64 (log.f64 2) (fma.f64 x y 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 1 (+.f64 (log.f64 2) (.f64 (-.f64 -1 (.f64 x y)) 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 1 (+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1))))
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(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (cbrt.f64 (+.f64 (log.f64 2) 1)) (-.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))

eval283.0ms (3.8%)

Compiler: Compiled 12986 to 9318 computations (28.2% saved)

prune93.0ms (1.3%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	430	1	431
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	430	9	439

Error

Counts

439 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.11%	(-.f64 (+.f64 (log.f64 2) 1) (-.f64 (*.f64 x y) -1))
	9.27%	(-.f64 (log.f64 2) (*.f64 y x))
✓	17.24%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	43.03%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	71.93%	(*.f64 (-.f64 1/2 y) x)
✓	55.45%	(*.f64 y (neg.f64 x))
✓	96.58%	(*.f64 1/2 x)
✓	42.48%	(log1p.f64 (exp.f64 x))
✓	43.04%	(log.f64 2)

Compiler

Compiled 65 to 52 computations (20% saved)

regimes24.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
8.0ms	y
5.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`y`
0.01%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 133 to 73 computations (45.1% saved)

regimes25.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
5.0ms	y

Results

Error	Segments	Branch
0.6%	2	`x`
9.27%	1	`y`

Compiler

Compiled 55 to 40 computations (27.3% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.3280317797628127	-0.46022206060151133

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 124 to 96 computations (22.6% saved)

regimes18.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
8.0ms	x

Results

Error	Segments	Branch
0.73%	2	`x`
9.27%	1	`y`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch58.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	-1.1890244236650301e+22	-52989.76473612811

Results

33.0ms	50×	body	1024	valid
13.0ms	92×	body	256	valid
5.0ms	2×	body	2048	valid
4.0ms	16×	body	512	valid

Compiler

Compiled 176 to 132 computations (25% saved)

regimes42.0ms (0.6%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	x
15.0ms	y

Results

Error	Segments	Branch
15.19%	4	`x`
29.15%	3	`y`

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch45.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-5.206680687950177e-74	-2.3673393875174933e-77
8.0ms	-1.5980117452286721e-43	-8.714500224832107e-44
16.0ms	-1.311551562510162e-30	-1.5327076338491151e-33

Results

41.0ms

320×

body

256

valid

Compiler

Compiled 288 to 236 computations (18.1% saved)

regimes38.0ms (0.5%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	y
18.0ms	x

Results

Error	Segments	Branch
15.22%	4	`x`
29.22%	3	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch45.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-5.206680687950177e-74	-2.3673393875174933e-77
12.0ms	-1.5980117452286721e-43	-8.714500224832107e-44
16.0ms	-1.311551562510162e-30	-1.5327076338491151e-33

Results

41.0ms

320×

body

256

valid

Compiler

Compiled 256 to 212 computations (17.2% saved)

regimes18.0ms (0.2%)

Accuracy

Total -26.6b remaining (-75.1%)

Threshold costs -26.6b (-75.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
55.45%	1	`x`
55.45%	1	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	249
1	70	247
2	84	247
3	92	243
4	95	243
5	96	243

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -54000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -1598517415830675/2854495385411919762116571938898990272765493248) (.f64 y (neg.f64 x)) (if (<=.f64 x -4770597318893877/50216813883093446110686315385661331328818843555712276103168) (log.f64 2) (if (<=.f64 x -4277775550302421/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y (neg.f64 x)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -4019129502659983/91343852333181432387730302044767688728495783936) (.f64 y (neg.f64 x)) (if (<=.f64 x -8838159243424447/100433627766186892221372630771322662657637687111424552206336) (log.f64 2) (if (<=.f64 x -827545865385885/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (.f64 y (neg.f64 x)) (log.f64 2))))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -54000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -54000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -54000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1598517415830675/2854495385411919762116571938898990272765493248) (.f64 y (neg.f64 x)) (if (<=.f64 x -4770597318893877/50216813883093446110686315385661331328818843555712276103168) (log.f64 2) (if (<=.f64 x -4277775550302421/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y (neg.f64 x)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -1598517415830675/2854495385411919762116571938898990272765493248) (.f64 y (neg.f64 x)) (if (<=.f64 x -4770597318893877/50216813883093446110686315385661331328818843555712276103168) (log.f64 2) (if (<=.f64 x -4277775550302421/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -1598517415830675/2854495385411919762116571938898990272765493248) (.f64 x (neg.f64 y)) (if (<=.f64 x -4770597318893877/50216813883093446110686315385661331328818843555712276103168) (log.f64 2) (if (<=.f64 x -4277775550302421/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -4019129502659983/91343852333181432387730302044767688728495783936) (.f64 y (neg.f64 x)) (if (<=.f64 x -8838159243424447/100433627766186892221372630771322662657637687111424552206336) (log.f64 2) (if (<=.f64 x -827545865385885/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (.f64 y (neg.f64 x)) (log.f64 2))))
(if (or (<=.f64 x -4019129502659983/91343852333181432387730302044767688728495783936) (not (or (<=.f64 x -8838159243424447/100433627766186892221372630771322662657637687111424552206336) (not (<=.f64 x -827545865385885/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792))))) (*.f64 x (neg.f64 y)) (log.f64 2))
(if (or (<=.f64 x -4019129502659983/91343852333181432387730302044767688728495783936) (and (not (<=.f64 x -8838159243424447/100433627766186892221372630771322662657637687111424552206336)) (<=.f64 x -827545865385885/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792))) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 105 to 74 computations (29.5% saved)

soundness193.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-l`
912×	`associate-/r*`
776×	`fma-def`
728×	`associate-/l*`
628×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	51	21
4	69	21
5	113	21
6	188	21
7	238	21
8	329	21
9	490	21
10	544	21
11	571	21
12	650	21
13	931	21
14	1815	21
15	5167	21
16	6110	21

Stop Event

1×	node limit

Compiler

Compiled 18 to 10 computations (44.4% saved)

end60.0ms (0.8%)

Compiler: Compiled 93 to 53 computations (43% saved)

Details

analyze142.0ms (1.9%)

sample3.4s (46.4%)

preprocess86.0ms (1.2%)

simplify78.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series13.0ms (0.2%)

rewrite60.0ms (0.8%)

simplify71.0ms (1%)

eval15.0ms (0.2%)

prune12.0ms (0.2%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite73.0ms (1%)

simplify82.0ms (1.1%)

localize4.0ms (0.1%)

localize3.0ms (0%)

localize5.0ms (0.1%)

localize12.0ms (0.2%)

series10.0ms (0.1%)

rewrite103.0ms (1.4%)

simplify187.0ms (2.5%)

eval358.0ms (4.9%)

prune145.0ms (2%)

localize5.0ms (0.1%)

localize27.0ms (0.4%)

series1.0ms (0%)

rewrite66.0ms (0.9%)

simplify91.0ms (1.2%)

localize28.0ms (0.4%)

series38.0ms (0.5%)

rewrite145.0ms (2%)

simplify190.0ms (2.6%)

eval332.0ms (4.5%)

prune203.0ms (2.7%)

localize14.0ms (0.2%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite145.0ms (2%)

simplify199.0ms (2.7%)

eval283.0ms (3.8%)

prune93.0ms (1.3%)

regimes24.0ms (0.3%)

regimes25.0ms (0.3%)

bsearch13.0ms (0.2%)

regimes18.0ms (0.2%)

bsearch58.0ms (0.8%)

regimes42.0ms (0.6%)

bsearch45.0ms (0.6%)

regimes38.0ms (0.5%)

bsearch45.0ms (0.6%)

regimes18.0ms (0.2%)

simplify20.0ms (0.3%)

soundness193.0ms (2.6%)

end60.0ms (0.8%)

Profiling