Details

analyze135.0ms (1.2%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.2s (38.3%)

Results

2.5s	2432×	body	8192	exit
1.4s	7775×	body	256	valid
101.0ms	214×	body	1024	valid
70.0ms	264×	body	512	valid
19.0ms	154×	body	256	infinite
3.0ms	3×	body	2048	valid

Bogosity

preprocess83.0ms (0.8%)

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)

simplify75.0ms (0.7%)

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))

eval1.0ms (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

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.5b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series45.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
16.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite78.0ms (0.7%)

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	30
1	187	30
2	2428	30

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

((#(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)))))))

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1014×	`+-commutative`
776×	`unswap-sqr`
590×	`*-commutative`
564×	`times-frac`
560×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	2193
1	396	2073
2	1955	2073
3	7844	2073

Stop Event

1×	node limit

Counts

91 → 80

Calls

Call 1

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

eval19.0ms (0.2%)

Compiler: Compiled 1130 to 411 computations (63.6% saved)

prune19.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Error

0.4b

Counts

81 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	7.3b	(-.f64 (log.f64 2) (*.f64 x y))
▶	18.5b	(+.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))))
▶	12.8b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	34.4b	(*.f64 x (neg.f64 y))
▶	12.0b	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))

Compiler

Compiled 123 to 94 computations (23.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`add-sqr-sqrt`
1908×	`*-un-lft-identity`
1780×	`add-cube-cbrt`
1762×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	17
2	2403	17

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

922×	`fma-def`
890×	`associate-/l/`
846×	`associate-+l+`
832×	`*-commutative`
630×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	1563
1	307	1443
2	1343	1443
3	4684	1443

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite75.0ms (0.7%)

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 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simplify81.0ms (0.7%)

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))))
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(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))))))
(.f64 (/.f64 (+.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)) 4) (.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))))))
(.f64 (/.f64 (+.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)) 4) (.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)) (.f64 (pow.f64 (log.f64 2) 2) (+.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 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(.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 (/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) 3) (pow.f64 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))) 3))) (fma.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (.f64 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (neg.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 6))) (fma.f64 (log.f64 2) (.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (neg.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)))) (pow.f64 (.f64 x (-.f64 1/2 y)) 4)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x (+.f64 -1/2 y)))) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 6))) (fma.f64 (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x (+.f64 -1/2 y)))) (-.f64 (.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 (*.f64 x (-.f64 1/2 y)) 4)))
(/.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 (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 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 (-.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 (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 (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 (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 (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 (+.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 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))))
(.f64 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (.f64 x (-.f64 1/2 y)) 3/2)) (/.f64 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (.f64 x (-.f64 1/2 y)) 3/2)) (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 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (.f64 x (-.f64 1/2 y)) 3/2)) (/.f64 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (.f64 x (-.f64 1/2 y)) 3/2)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x (+.f64 -1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
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(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))

localize39.0ms (0.4%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.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))))

✓

0.1b

(*.f64 -1/192 (pow.f64 x 4))

✓

7.8b

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))

Compiler

Compiled 77 to 61 computations (20.8% saved)

series3.0ms (0%)

Counts

3 → 33

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.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))))
0.0ms	x	@	inf	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))
0.0ms	x	@	0	(*.f64 -1/192 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 -1/192 (pow.f64 x 4))
0.0ms	x	@	0	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`associate-/r*`
492×	`associate-+l+`
446×	`add-sqr-sqrt`
434×	`+-commutative`
430×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	93
1	450	93
2	5850	93

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

Inputs

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))

(*.f64 -1/192 (pow.f64 x 4))

(+.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))))

Outputs

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simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1648×	`associate-/l*`
1016×	`+-commutative`
878×	`associate-/r*`
812×	`*-commutative`
744×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	10745
1	962	10311
2	3673	10089

Stop Event

1×	node limit

Counts

163 → 206

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/192 (pow.f64 x 4)))) (-.f64 1 (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (-.f64 1 (.f64 1/8 (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/8 (.f64 x x)))) (-.f64 1 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(-.f64 (/.f64 (.f64 1/36864 (pow.f64 x 8)) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (.f64 1/8 (*.f64 x x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 1/8 (*.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (+.f64 (.f64 1/8 (.f64 x x)) (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1)
(-.f64 (+.f64 (.f64 1/8 (.f64 x x)) (/.f64 (*.f64 1/36864 (pow.f64 x 8)) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2))))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))))
(-.f64 (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (exp.f64 (log1p.f64 (.f64 1/8 (.f64 x x))))) 1)
(-.f64 (+.f64 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4))) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (+.f64 (.f64 1/8 (.f64 x x)) (log.f64 2)) (exp.f64 (log1p.f64 (*.f64 -1/192 (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -1/192 (pow.f64 x 4))) 1) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 1)
(.f64 1 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2)) (/.f64 1 (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 1/8 (.f64 x x)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 2)) 1) (-.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 2)) (sqrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))) (sqrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) (cbrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))) (cbrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 2)) (+.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (sqrt.f64 (.f64 x (-.f64 1/2 y))))) (-.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 3)) 1) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x (-.f64 1/2 y))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x (-.f64 1/2 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x (-.f64 1/2 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x (-.f64 1/2 y)))))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2))
(log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(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 1 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x (-.f64 1/2 y)))
(fma.f64 1 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.0b	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
	0.5b	(log1p.f64 (exp.f64 x))
✓	1.1b	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite90.0ms (0.8%)

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

simplify120.0ms (1.1%)

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

eval407.0ms (3.7%)

Compiler: Compiled 23762 to 13577 computations (42.9% saved)

prune177.0ms (1.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	838	10	848
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	840	14	854

Error

0.4b

Counts

854 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	14.3b	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
▶	6.7b	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (-.f64 (*.f64 x y) -1))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	7.3b	(-.f64 (log.f64 2) (*.f64 x y))
✓	12.8b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	0.5b	(+.f64 (.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (.f64 x y))))
▶	29.4b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	22.2b	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
▶	46.2b	(*.f64 (-.f64 1/2 y) x)
✓	34.4b	(*.f64 x (neg.f64 y))
	29.1b	(log1p.f64 (exp.f64 x))
	29.3b	(log.f64 2)
	22.2b	(expm1.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
	22.2b	(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

Compiler

Compiled 237 to 182 computations (23.2% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (.f64 x y))))
	0.5b	(log1p.f64 (exp.f64 x))
✓	50.6b	(fma.f64 (neg.f64 y) x (*.f64 x y))

Compiler

Compiled 52 to 10 computations (80.8% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(+.f64 (.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (.f64 x y))))
1.0ms	x	@	-inf	(fma.f64 (neg.f64 y) x (*.f64 x y))
0.0ms	y	@	0	(fma.f64 (neg.f64 y) x (*.f64 x y))
0.0ms	x	@	inf	(fma.f64 (neg.f64 y) x (*.f64 x y))
0.0ms	y	@	inf	(fma.f64 (neg.f64 y) x (*.f64 x y))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`associate-*r/`
1260×	`distribute-lft-in`
944×	`associate-*l/`
314×	`add-sqr-sqrt`
308×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	299	48
2	4168	48

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (*.f64 x y))
(+.f64 (.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (.f64 x y))))

Outputs

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

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

simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1074×	`+-commutative`
850×	`associate-r`
692×	`associate-/l*`
690×	`times-frac`
686×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	12536
1	1253	11476
2	7478	10944

Stop Event

1×	node limit

Counts

200 → 295

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 x) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite59.0ms (0.5%)

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))))))

simplify52.0ms (0.5%)

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))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 x)) 1)
	0.5b	(log1p.f64 (exp.f64 x))
✓	1.9b	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (-.f64 (*.f64 x y) -1))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite116.0ms (1.1%)

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	44
1	282	44
2	3733	36

Stop Event

1×	node limit

Counts

2 → 268

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (-.f64 0 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 0 (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (+.f64 1 (*.f64 (-.f64 -1 (*.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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 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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)))))

simplify160.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

924×	`associate-/l*`
840×	`+-commutative`
796×	`distribute-lft-in`
746×	`distribute-rgt-in`
718×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	712	19968
1	2249	19562

Stop Event

1×	node limit

Counts

304 → 447

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

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	0.7b	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
0.0ms	y	@	inf	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`*-commutative`
1050×	`associate-*r/`
752×	`associate-*l/`
698×	`distribute-lft-in`
682×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	274	32
2	3270	32

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs

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

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1054×	`+-commutative`
822×	`associate-+l-`
764×	`associate-+r-`
676×	`associate-/l*`
630×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	423	8463
1	1223	8091
2	6532	8091

Stop Event

1×	node limit

Counts

207 → 237

Calls

Call 1

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

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

eval544.0ms (5%)

Compiler: Compiled 32242 to 16336 computations (49.3% saved)

prune279.0ms (2.6%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1067	7	1074
Fresh	2	3	5
Picked	0	1	1
Done	2	6	8
Total	1071	17	1088

Error

0.4b

Counts

1088 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
	30.6b	(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
▶	13.3b	(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 2) (+.f64 1 (-.f64 1 (log.f64 2))))
▶	7.8b	(-.f64 (+.f64 (log.f64 2) 1) (-.f64 (*.f64 x y) -1))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	7.3b	(-.f64 (log.f64 2) (*.f64 x y))
✓	12.8b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	29.4b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	24.0b	(+.f64 (log.f64 2) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)))
✓	22.2b	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	46.2b	(*.f64 (-.f64 1/2 y) x)
✓	34.4b	(*.f64 x (neg.f64 y))
▶	61.8b	(*.f64 1/2 x)
	29.1b	(log1p.f64 (exp.f64 x))
	29.3b	(log.f64 2)
▶	22.2b	(expm1.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
	29.9b	(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))

Compiler

Compiled 256 to 208 computations (18.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
	0.5b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
0.0ms	y	@	0	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
0.0ms	x	@	inf	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
0.0ms	x	@	-inf	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
0.0ms	y	@	inf	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`add-sqr-sqrt`
1478×	`*-un-lft-identity`
1364×	`add-cube-cbrt`
1346×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	177	17
2	2114	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1088×	`associate-r`
936×	`*-commutative`
900×	`associate-l`
786×	`+-commutative`
758×	`associate--r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1060
1	194	970
2	790	968
3	3492	926
4	7232	926

Stop Event

1×	node limit

Counts

46 → 51

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(-.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))

rewrite105.0ms (1%)

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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simplify208.0ms (1.9%)

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

localize29.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 2) (+.f64 1 (-.f64 1 (log.f64 2))))

Compiler

Compiled 48 to 39 computations (18.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`associate-/r*`
540×	`associate-+l+`
534×	`associate-/r/`
470×	`associate-/l*`
448×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	346	25
2	4824	19

Stop Event

1×	node limit

Counts

1 → 157

Calls

Call 1

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

Outputs

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

simplify210.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-+r-`
1276×	`associate--r+`
696×	`associate-+l+`
676×	`+-commutative`
668×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	11651
1	1330	11023
2	5778	10723

Stop Event

1×	node limit

Counts

181 → 262

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	0.0b	(log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
✓	0.7b	(expm1.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))

Compiler

Compiled 43 to 32 computations (25.6% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`associate-*r/`
972×	`associate-*l/`
766×	`distribute-rgt-in`
726×	`distribute-lft-in`
268×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	276	42
2	3277	42

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify171.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1244×	`associate-/r/`
1114×	`+-commutative`
722×	`associate-+r-`
646×	`associate-+l-`
494×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	9882
1	1230	9066
2	5683	9050

Stop Event

1×	node limit

Counts

168 → 266

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

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

eval895.0ms (8.2%)

Compiler: Compiled 32139 to 25431 computations (20.9% saved)

prune260.0ms (2.4%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	1046	4	1050
Fresh	0	5	5
Picked	1	0	1
Done	1	10	11
Total	1048	19	1067

Error

0.4b

Counts

1067 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
	30.6b	(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
✓	7.8b	(-.f64 (+.f64 (log.f64 2) 1) (-.f64 (*.f64 x y) -1))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	7.3b	(-.f64 (log.f64 2) (*.f64 x y))
	13.3b	(+.f64 (-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) (+.f64 2 (log.f64 1/2))) 1)
	13.3b	(+.f64 (+.f64 (log.f64 2) 1) (-.f64 (*.f64 (-.f64 1/2 y) x) 1))
✓	12.8b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	29.4b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	24.0b	(+.f64 (log.f64 2) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)))
✓	22.2b	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	46.2b	(*.f64 (-.f64 1/2 y) x)
✓	34.4b	(*.f64 x (neg.f64 y))
✓	61.8b	(*.f64 1/2 x)
	29.1b	(log1p.f64 (exp.f64 x))
	29.3b	(log.f64 2)
	62.6b	(expm1.f64 (+.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))) (+.f64 (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (/.f64 1 (.f64 x (-.f64 1/2 y))))))
	29.9b	(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
	29.9b	(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))

Compiler

Compiled 197 to 159 computations (19.3% saved)

regimes56.0ms (0.5%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
16.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
12.0ms	x

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 286 to 193 computations (32.5% saved)

regimes26.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
8.0ms	x
5.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 147 to 101 computations (31.3% saved)

regimes27.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	x
7.0ms	y

Results

Error	Segments	Branch
0.8b	2	`x`
7.3b	1	`y`

Compiler

Compiled 109 to 83 computations (23.9% saved)

bsearch36.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	-425252026.16850966	-12916761.308398297

Results

19.0ms	78×	body	256	valid
14.0ms	27×	body	1024	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 142 to 110 computations (22.5% saved)

regimes17.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
4.0ms	y

Results

Error	Segments	Branch
1.0b	2	`x`
7.3b	1	`y`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch44.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	-425252026.16850966	-12916761.308398297

Results

21.0ms	42×	body	1024	valid
13.0ms	14×	body	512	valid
8.0ms	55×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 128 to 96 computations (25% saved)

regimes81.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

67.0ms	y
12.0ms	x

Results

Error	Segments	Branch
9.1b	3	`x`
15.8b	11	`y`

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.5700059104821735e-31	2.730701538988539e-23
24.0ms	-8110643.976548743	-0.0009448720016614865

Results

39.0ms

304×

body

256

valid

Compiler

Compiled 329 to 268 computations (18.5% saved)

regimes71.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

47.0ms	y
23.0ms	x

Results

Error	Segments	Branch
9.1b	3	`x`
16.0b	11	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.5700059104821735e-31	2.730701538988539e-23
19.0ms	-5.865486694369429e-24	-4.059357243962999e-25

Results

34.0ms

240×

body

256

valid

Compiler

Compiled 205 to 171 computations (16.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -27.9b remaining (-80.9%)

Threshold costs -27.9b (-80.9%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

Error	Segments	Branch
34.4b	1	`x`
34.4b	1	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	246
1	59	246
2	71	246
3	76	246
4	78	246

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -13000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -13000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4496393867966703/2305843009213693952) (.f64 x (neg.f64 y)) (if (<=.f64 x 2858371882135883/1361129467683753853853498429727072845824) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -8166776806102523/5444517870735015415413993718908291383296) (.f64 x (neg.f64 y)) (if (<=.f64 x 22118353849861/170141183460469231731687303715884105728) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(if (<=.f64 x -13000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -13000000) (.f64 (neg.f64 y) x) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -13000000) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -13000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -13000000) (.f64 (neg.f64 y) x) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -13000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -4496393867966703/2305843009213693952) (.f64 x (neg.f64 y)) (if (<=.f64 x 2858371882135883/1361129467683753853853498429727072845824) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -4496393867966703/2305843009213693952) (.f64 (neg.f64 y) x) (if (<=.f64 x 2858371882135883/1361129467683753853853498429727072845824) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -4496393867966703/2305843009213693952) (.f64 y (neg.f64 x)) (if (<=.f64 x 2858371882135883/1361129467683753853853498429727072845824) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8166776806102523/5444517870735015415413993718908291383296) (.f64 x (neg.f64 y)) (if (<=.f64 x 22118353849861/170141183460469231731687303715884105728) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -8166776806102523/5444517870735015415413993718908291383296) (.f64 (neg.f64 y) x) (if (<=.f64 x 22118353849861/170141183460469231731687303715884105728) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8166776806102523/5444517870735015415413993718908291383296) (.f64 y (neg.f64 x)) (if (<=.f64 x 22118353849861/170141183460469231731687303715884105728) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 109 to 77 computations (29.4% saved)

soundness270.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1074×	`+-commutative`
1042×	`associate-l`
912×	`associate-/r*`
850×	`associate-r`
776×	`fma-def`

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
0	408	12536
1	1253	11476
2	7478	10944

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 81 to 47 computations (42% saved)

end61.0ms (0.6%)

Compiler: Compiled 95 to 52 computations (45.3% saved)