Details

analyze189.0ms (2.2%)

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)

sample4.1s (47.3%)

Results

2.7s	2453×	body	8192	exit
1.2s	7780×	body	256	valid
104.0ms	222×	body	1024	valid
69.0ms	253×	body	512	valid
18.0ms	133×	body	256	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess80.0ms (0.9%)

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)

simplify72.0ms (0.8%)

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)

localize8.0ms (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 (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
2.0ms	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))

rewrite63.0ms (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)))))))

simplify82.0ms (0.9%)

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))

eval15.0ms (0.2%)

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

prune15.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Error

0.2b

Counts

81 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.4b	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	6.7b	(-.f64 (log.f64 2) (*.f64 x y))
▶	11.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	35.1b	(*.f64 x (neg.f64 y))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize4.0ms (0.1%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series6.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

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

rewrite80.0ms (0.9%)

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	32
1	238	32
2	3046	32

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs
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Outputs

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

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1094×	`associate-/l/`
976×	`associate-/r/`
556×	`associate-/l*`
512×	`+-commutative`
464×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	343	7768
1	969	6680
2	4203	6680

Stop Event

1×	node limit

Counts

148 → 214

Calls

Call 1

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

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

localize9.0ms (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)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.7%)

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)))))))

simplify66.0ms (0.8%)

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))

localize14.0ms (0.2%)

Local error

Found 4 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))
✓	0.5b	(sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
✓	0.6b	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)

Compiler

Compiled 38 to 10 computations (73.7% saved)

series10.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)

rewrite101.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`*-commutative`
810×	`unswap-sqr`
596×	`swap-sqr`
520×	`distribute-lft-in`
514×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	251	46
2	2870	46

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

Outputs

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

simplify166.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-+l-`
842×	`fma-def`
808×	`associate-+r-`
792×	`associate-r`
686×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	579	15388
1	1601	13734
2	7280	13734

Stop Event

1×	node limit

Counts

226 → 343

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

eval253.0ms (2.9%)

Compiler: Compiled 18135 to 9314 computations (48.6% saved)

prune122.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	680	7	687
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	683	9	692

Error

0.2b

Counts

692 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.5b	(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
✓	6.7b	(-.f64 (log.f64 2) (*.f64 x y))
▶	28.6b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	36.6b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
▶	45.3b	(*.f64 (-.f64 1/2 y) x)
✓	35.1b	(*.f64 x (neg.f64 y))
▶	28.4b	(log1p.f64 (exp.f64 x))
▶	28.8b	(log.f64 2)
	20.3b	(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

Compiler

Compiled 130 to 106 computations (18.5% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (log.f64 2) (*.f64 x y))
✓	0.6b	(sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))
✓	0.7b	(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)

Compiler

Compiled 32 to 19 computations (40.6% saved)

series8.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`*-commutative`
756×	`unswap-sqr`
554×	`swap-sqr`
434×	`associate-*r/`
416×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	231	38
2	2670	38

Stop Event

1×	node limit

Counts

2 → 216

Calls

Call 1

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

Outputs

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

simplify150.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-+l-`
906×	`fma-def`
826×	`associate-+r-`
708×	`associate-+l+`
700×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	14188
1	1584	12608
2	7369	12608

Stop Event

1×	node limit

Counts

232 → 345

Calls

Call 1

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

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.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 (+.f64 (.f64 1/4 (/.f64 (pow.f64 y 2) (log.f64 2))) (.f64 -1/4 (/.f64 (pow.f64 y 2) (log.f64 2)))) (pow.f64 x 2)) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 2) (fma.f64 (.f64 (/.f64 (.f64 y y) (log.f64 2)) 0) (.f64 x x) (.f64 x (neg.f64 y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (.f64 x (*.f64 x 0)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2))) (.f64 1/8 (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2)))) (pow.f64 x 3)) (+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 y 2) (log.f64 2))) (.f64 -1/4 (/.f64 (pow.f64 y 2) (log.f64 2)))) (pow.f64 x 2)) (.f64 -1 (.f64 y x)))))
(fma.f64 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2)) 0) (pow.f64 x 3) (+.f64 (log.f64 2) (fma.f64 (.f64 (/.f64 (.f64 y y) (log.f64 2)) 0) (.f64 x x) (*.f64 x (neg.f64 y)))))
(+.f64 (-.f64 (.f64 x (.f64 x 0)) (*.f64 y x)) (fma.f64 (pow.f64 x 3) 0 (log.f64 2)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.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 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (.f64 1/4 (/.f64 (pow.f64 x 2) (log.f64 2)))) (pow.f64 y 2)) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 2) (fma.f64 (.f64 (/.f64 (.f64 x x) (log.f64 2)) 0) (.f64 y y) (.f64 x (neg.f64 y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (.f64 y (*.f64 y 0)))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)))) (pow.f64 y 3)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (.f64 1/4 (/.f64 (pow.f64 x 2) (log.f64 2)))) (pow.f64 y 2)) (.f64 -1 (.f64 y x)))))
(+.f64 (log.f64 2) (fma.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) 0) (pow.f64 y 3) (fma.f64 (.f64 (/.f64 (.f64 x x) (log.f64 2)) 0) (.f64 y y) (*.f64 x (neg.f64 y)))))
(+.f64 (fma.f64 (pow.f64 y 3) 0 (.f64 y (.f64 y 0))) (-.f64 (log.f64 2) (*.f64 y x)))
(sqrt.f64 (log.f64 2))
(+.f64 (sqrt.f64 (log.f64 2)) (.f64 -1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (log.f64 2))))))
(+.f64 (sqrt.f64 (log.f64 2)) (.f64 (.f64 -1/2 (*.f64 y x)) (sqrt.f64 (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))
(+.f64 (sqrt.f64 (log.f64 2)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 -1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (log.f64 2)))))))
(+.f64 (sqrt.f64 (log.f64 2)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (.f64 y y) (.f64 x x))) (.f64 (.f64 -1/2 (*.f64 y x)) (sqrt.f64 (/.f64 1 (log.f64 2))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (pow.f64 (.f64 y x) 2)) (fma.f64 -1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2))))
(+.f64 (sqrt.f64 (log.f64 2)) (+.f64 (.f64 -1/16 (.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 -1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (log.f64 2))))))))
(+.f64 (sqrt.f64 (log.f64 2)) (fma.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) (pow.f64 (.f64 y x) 3)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (.f64 y y) (.f64 x x))) (.f64 (.f64 -1/2 (*.f64 y x)) (sqrt.f64 (/.f64 1 (log.f64 2)))))))
(+.f64 (fma.f64 (.f64 -1/16 (pow.f64 (.f64 y x) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 2))) (.f64 -1/2 (.f64 y x)))) (fma.f64 (.f64 -1/8 (pow.f64 (*.f64 y x) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (sqrt.f64 (log.f64 2))))
(sqrt.f64 (log.f64 2))
(+.f64 (sqrt.f64 (log.f64 2)) (.f64 -1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (log.f64 2))))))
(+.f64 (sqrt.f64 (log.f64 2)) (.f64 (.f64 -1/2 (*.f64 y x)) (sqrt.f64 (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))
(+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (+.f64 (sqrt.f64 (log.f64 2)) (.f64 -1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (log.f64 2)))))))
(+.f64 (sqrt.f64 (log.f64 2)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (.f64 y y) (.f64 x x))) (.f64 (.f64 -1/2 (*.f64 y x)) (sqrt.f64 (/.f64 1 (log.f64 2))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (pow.f64 (.f64 y x) 2)) (fma.f64 -1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2))))
(+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (+.f64 (sqrt.f64 (log.f64 2)) (+.f64 (.f64 -1/16 (.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))))) (.f64 -1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (log.f64 2))))))))
(+.f64 (sqrt.f64 (log.f64 2)) (fma.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) (pow.f64 (.f64 y x) 3)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (.f64 y y) (.f64 x x))) (.f64 (.f64 -1/2 (*.f64 y x)) (sqrt.f64 (/.f64 1 (log.f64 2)))))))
(+.f64 (fma.f64 (.f64 -1/16 (pow.f64 (.f64 y x) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 2))) (.f64 -1/2 (.f64 y x)))) (fma.f64 (.f64 -1/8 (pow.f64 (*.f64 y x) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (sqrt.f64 (log.f64 2))))
(+.f64 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 1) (*.f64 y x))
(+.f64 (log1p.f64 1) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 y x)) (-.f64 (log1p.f64 1) (.f64 y x)))
(-.f64 (log1p.f64 1) (fma.f64 y x (.f64 0 (.f64 y x))))
(+.f64 (log1p.f64 1) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 y x)) (-.f64 (log1p.f64 1) (.f64 y x)))
(-.f64 (log1p.f64 1) (fma.f64 y x (.f64 0 (.f64 y x))))
(+.f64 (log1p.f64 1) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 y x)) (-.f64 (log1p.f64 1) (.f64 y x)))
(-.f64 (log1p.f64 1) (fma.f64 y x (.f64 0 (.f64 y x))))
(+.f64 (log1p.f64 1) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 y x)) (-.f64 (log1p.f64 1) (.f64 y x)))
(+.f64 (log1p.f64 1) (+.f64 (.f64 (sqrt.f64 (.f64 y x)) (neg.f64 (sqrt.f64 (.f64 y x)))) (.f64 0 (*.f64 y x))))
(+.f64 (log1p.f64 1) (+.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 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 y x)) (-.f64 (log1p.f64 1) (.f64 y x)))
(+.f64 (log1p.f64 1) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (.f64 0 (*.f64 y x))))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 y x)) (-.f64 (log1p.f64 1) (.f64 y x)))
(-.f64 (log1p.f64 1) (fma.f64 y x (.f64 0 (.f64 y x))))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 y x)) (-.f64 (log1p.f64 1) (.f64 y x)))
(-.f64 (log1p.f64 1) (fma.f64 y x (.f64 0 (.f64 y x))))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 y x)) (-.f64 (log1p.f64 1) (.f64 y x)))
(-.f64 (log1p.f64 1) (fma.f64 y x (.f64 0 (.f64 y x))))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 y x)) (-.f64 (log1p.f64 1) (.f64 y x)))
(+.f64 (log1p.f64 1) (+.f64 (.f64 (sqrt.f64 (.f64 y x)) (neg.f64 (sqrt.f64 (.f64 y x)))) (.f64 0 (*.f64 y x))))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
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(.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (.f64 y x))) (.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (.f64 y x)) 1/4)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 y x)) 1/4))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 x y)))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))) 3/2))
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (.f64 x y)) 3/2) 1/6) (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3/2) 1/6))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 y x)) 3/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 y x) (+.f64 (log1p.f64 1) (.f64 y x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (sqrt.f64 (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2))) (sqrt.f64 (+.f64 (log1p.f64 1) (.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 y x) 2))) (sqrt.f64 (+.f64 (log1p.f64 1) (.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2))) (sqrt.f64 (fma.f64 y x (log1p.f64 1))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 y x) (+.f64 (log1p.f64 1) (.f64 y x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (sqrt.f64 (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 y x) 2))) (sqrt.f64 (+.f64 (log1p.f64 1) (.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2))) (sqrt.f64 (fma.f64 y x (log1p.f64 1))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 x y)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (.f64 x y))))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 y x)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 y x) (+.f64 (log1p.f64 1) (.f64 y x))))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 y x)))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 x y)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)))) (cbrt.f64 (+.f64 (log1p.f64 1) (.f64 x y))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 y x)))) (/.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (.f64 y x))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 y x) 2))) (cbrt.f64 (fma.f64 y x (log1p.f64 1)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 y x) (+.f64 (log1p.f64 1) (.f64 y x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (sqrt.f64 (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 y x) 2))) (sqrt.f64 (+.f64 (log1p.f64 1) (.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2))) (sqrt.f64 (fma.f64 y x (log1p.f64 1))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 y x) (+.f64 (log1p.f64 1) (.f64 y x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (sqrt.f64 (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2))) 1) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 y x) 2))) (sqrt.f64 (+.f64 (log1p.f64 1) (.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2))) (sqrt.f64 (fma.f64 y x (log1p.f64 1))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (.f64 x y))))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 y x)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 y x) (+.f64 (log1p.f64 1) (.f64 y x))))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 y x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 1) (.f64 x y))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 y x)))) (/.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (.f64 y x))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 y x) 2))) (cbrt.f64 (fma.f64 y x (log1p.f64 1)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))))
(pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 1/2)
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 1)
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 1/4) 2)
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))) 3)
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 y x)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))))
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))))
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3/2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 y x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))))
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))))
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))))
(sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 y x)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize3.0ms (0%)

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

rewrite55.0ms (0.6%)

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))))))

simplify54.0ms (0.6%)

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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.5b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 8 to 4 computations (50% saved)

eval267.0ms (3.1%)

Compiler: Compiled 11896 to 7205 computations (39.4% saved)

prune139.0ms (1.6%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	530	9	539
Fresh	1	1	2
Picked	0	1	1
Done	1	5	6
Total	532	16	548

Error

0.2b

Counts

548 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.2b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	57.2b	(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
	45.4b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓	6.7b	(-.f64 (log.f64 2) (*.f64 x y))
▶	6.8b	(+.f64 (-.f64 (log1p.f64 1) (.f64 y x)) (.f64 2 (fma.f64 (neg.f64 y) x (*.f64 y x))))
▶	45.3b	(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))
✓	28.6b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	36.6b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	57.1b	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
✓	45.3b	(*.f64 (-.f64 1/2 y) x)
✓	35.1b	(*.f64 x (neg.f64 y))
▶	61.6b	(*.f64 1/2 x)
✓	28.4b	(log1p.f64 (exp.f64 x))
✓	28.8b	(log.f64 2)
▶	52.7b	(fabs.f64 (*.f64 x (-.f64 1/2 y)))
	29.2b	(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))

Compiler

Compiled 260 to 192 computations (26.2% saved)

localize23.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 1) (*.f64 y x))
✓	46.8b	(fma.f64 (neg.f64 y) x (*.f64 y x))

Compiler

Compiled 51 to 20 computations (60.8% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite100.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`*-commutative`
784×	`unswap-sqr`
556×	`swap-sqr`
450×	`distribute-lft-in`
440×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	244	30
2	3108	30

Stop Event

1×	node limit

Counts

2 → 222

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (*.f64 y x))
(-.f64 (log1p.f64 1) (*.f64 y x))

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

simplify180.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-+r+`
908×	`associate-l`
896×	`associate-r`
888×	`fma-def`
596×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	497	8098
1	1527	7122
2	7650	7122

Stop Event

1×	node limit

Counts

270 → 304

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`*-commutative`
710×	`unswap-sqr`
546×	`swap-sqr`
438×	`distribute-lft-in`
430×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	215	13
2	2847	13

Stop Event

1×	node limit

Counts

1 → 115

Calls

Call 1

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

Outputs

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

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

902×	`distribute-lft-neg-in`
880×	`distribute-rgt-neg-in`
760×	`associate-r`
602×	`associate-l`
426×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	5993
1	1012	5561
2	5215	5463

Stop Event

1×	node limit

Counts

139 → 202

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1/2 y) x)
✓	17.8b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`associate-/l/`
728×	`distribute-rgt-in`
680×	`distribute-lft-in`
568×	`distribute-lft-neg-in`
516×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	259	26
2	3833	26

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-*r/`
1214×	`distribute-lft-in`
1174×	`distribute-rgt-in`
988×	`associate-*l/`
944×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2912
1	679	2558
2	2812	2414

Stop Event

1×	node limit

Counts

138 → 121

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`add-sqr-sqrt`
1578×	`*-un-lft-identity`
1476×	`add-cube-cbrt`
1460×	`add-cbrt-cube`
1446×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	151	13
2	1901	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def`
882×	`*-commutative`
746×	`associate-r`
650×	`associate-l`
626×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	632
1	150	624
2	458	624
3	2568	624
4	5287	624

Stop Event

1×	node limit

Counts

42 → 30

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

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

eval357.0ms (4.1%)

Compiler: Compiled 15833 to 8985 computations (43.3% saved)

prune178.0ms (2.1%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	649	8	657
Fresh	1	4	5
Picked	1	0	1
Done	2	8	10
Total	653	20	673

Error

0.2b

Counts

673 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	57.6b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
	62.1b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
	57.2b	(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
	45.4b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	45.3b	(-.f64 (.f64 x 1/2) (.f64 x y))
✓	6.7b	(-.f64 (log.f64 2) (*.f64 x y))
✓	6.8b	(+.f64 (-.f64 (log1p.f64 1) (.f64 y x)) (.f64 2 (fma.f64 (neg.f64 y) x (*.f64 y x))))
✓	28.6b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	36.6b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
✓	45.3b	(*.f64 (-.f64 1/2 y) x)
	57.2b	(.f64 (+.f64 (.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
	61.8b	(*.f64 (+.f64 y 1/2) x)
	57.1b	(.f64 (neg.f64 x) (-.f64 (/.f64 1/4 (-.f64 -1/2 y)) (/.f64 (.f64 y y) (-.f64 -1/2 y))))
✓	35.1b	(*.f64 x (neg.f64 y))
✓	61.6b	(*.f64 1/2 x)
✓	28.4b	(log1p.f64 (exp.f64 x))
✓	28.8b	(log.f64 2)
	53.4b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1))
	61.3b	(fabs.f64 (*.f64 1/2 x))
	29.2b	(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))

Compiler

Compiled 194 to 145 computations (25.3% saved)

regimes56.0ms (0.6%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
17.0ms	x
15.0ms	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 261 to 159 computations (39.1% saved)

regimes39.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
12.0ms	y

Results

Error	Segments	Branch
0.5b	2	`x`
6.7b	1	`y`

Compiler

Compiled 173 to 108 computations (37.6% saved)

bsearch47.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
47.0ms	-1546510972.7746842	-25629.18375504053

Results

16.0ms	31×	body	1024	valid
12.0ms	13×	body	512	valid
11.0ms	78×	body	256	valid
6.0ms	6×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes51.0ms (0.6%)

Counts

19 → 2

Calls

Call 1

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

27.0ms	x
20.0ms	y

Results

Error	Segments	Branch
0.7b	2	`x`
6.7b	1	`y`

Compiler

Compiled 152 to 92 computations (39.5% saved)

bsearch54.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
53.0ms	-1546510972.7746842	-25629.18375504053

Results

21.0ms	30×	body	1024	valid
15.0ms	6×	body	2048	valid
10.0ms	73×	body	256	valid
5.0ms	19×	body	512	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 144 to 108 computations (25% saved)

regimes127.0ms (1.5%)

Counts

18 → 3

Calls

Call 1

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

96.0ms	y
27.0ms	x

Results

Error	Segments	Branch
11.6b	3	`x`
18.2b	5	`y`

Compiler

Compiled 146 to 89 computations (39% saved)

bsearch64.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	3.853710919931737e-30	2.4895942979111978e-29
52.0ms	-1.0249307800010913e-94	-2.920714216445355e-96

Results

61.0ms

208×

body

256

valid

Compiler

Compiled 230 to 187 computations (18.7% saved)

regimes86.0ms (1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	y
37.0ms	x

Results

Error	Segments	Branch
11.6b	3	`x`
19.4b	3	`y`

Compiler

Compiled 140 to 84 computations (40% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	3.853710919931737e-30	2.4895942979111978e-29
14.0ms	-1.0249307800010913e-94	-2.920714216445355e-96

Results

32.0ms

208×

body

256

valid

Compiler

Compiled 178 to 148 computations (16.9% saved)

regimes33.0ms (0.4%)

Accuracy

Total -28.2b remaining (-80.4%)

Threshold costs -28.2b (-80.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
10.0ms	x

Results

Error	Segments	Branch
35.1b	1	`x`
35.1b	1	`y`

Compiler

Compiled 128 to 75 computations (41.4% saved)

simplify9.0ms (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	39	225
1	57	225
2	69	225
3	74	225
4	76	225

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -26000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -26000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -239551343442931/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 x (neg.f64 y)) (if (<=.f64 x 178405961588245/11150372599265311570767859136324180752990208) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 x (neg.f64 y)) (if (<=.f64 x 6779426540353309/713623846352979940529142984724747568191373312) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -26000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -26000) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -26000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -239551343442931/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 x (neg.f64 y)) (if (<=.f64 x 178405961588245/11150372599265311570767859136324180752990208) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -239551343442931/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 x (neg.f64 y)) (if (<=.f64 x 178405961588245/11150372599265311570767859136324180752990208) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 x (neg.f64 y)) (if (<=.f64 x 6779426540353309/713623846352979940529142984724747568191373312) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 x (neg.f64 y)) (if (<=.f64 x 6779426540353309/713623846352979940529142984724747568191373312) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 100 to 71 computations (29% saved)

soundness192.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 18 to 10 computations (44.4% saved)

end64.0ms (0.7%)

Compiler: Compiled 88 to 50 computations (43.2% saved)

Details

analyze189.0ms (2.2%)

sample4.1s (47.3%)

preprocess80.0ms (0.9%)

simplify72.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series45.0ms (0.5%)

rewrite63.0ms (0.7%)

simplify82.0ms (0.9%)

eval15.0ms (0.2%)

prune15.0ms (0.2%)

localize4.0ms (0.1%)

localize13.0ms (0.1%)

series6.0ms (0.1%)

rewrite80.0ms (0.9%)

simplify103.0ms (1.2%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite60.0ms (0.7%)

simplify66.0ms (0.8%)

localize14.0ms (0.2%)

series10.0ms (0.1%)

rewrite101.0ms (1.2%)

simplify166.0ms (1.9%)

eval253.0ms (2.9%)

prune122.0ms (1.4%)

localize15.0ms (0.2%)

series8.0ms (0.1%)

rewrite90.0ms (1%)

simplify150.0ms (1.7%)

localize5.0ms (0.1%)

localize3.0ms (0%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite55.0ms (0.6%)

simplify54.0ms (0.6%)

localize5.0ms (0.1%)

eval267.0ms (3.1%)

prune139.0ms (1.6%)

localize23.0ms (0.3%)

series6.0ms (0.1%)

rewrite100.0ms (1.2%)

simplify180.0ms (2.1%)

localize3.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite73.0ms (0.8%)

simplify101.0ms (1.2%)

localize12.0ms (0.1%)

series4.0ms (0.1%)

rewrite86.0ms (1%)

simplify75.0ms (0.9%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite58.0ms (0.7%)

simplify57.0ms (0.7%)

eval357.0ms (4.1%)

prune178.0ms (2.1%)

regimes56.0ms (0.6%)

regimes39.0ms (0.4%)

bsearch47.0ms (0.5%)

regimes51.0ms (0.6%)

bsearch54.0ms (0.6%)

regimes127.0ms (1.5%)

bsearch64.0ms (0.7%)

regimes86.0ms (1%)

bsearch34.0ms (0.4%)

regimes33.0ms (0.4%)

simplify9.0ms (0.1%)

soundness192.0ms (2.2%)

end64.0ms (0.7%)

Profiling