Details

analyze178.0ms (1.6%)

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)

sample4.6s (41.5%)

Results

2.8s	2560×	body	8192	exit
1.3s	7770×	body	256	valid
354.0ms	256×	body	512	valid
127.0ms	230×	body	1024	valid
25.0ms	135×	body	256	infinite

Bogosity

preprocess256.0ms (2.3%)

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)

simplify225.0ms (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

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)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	0.3b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 20 to 14 computations (30% saved)

localize32.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	0.2b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 28 to 14 computations (50% saved)

series98.0ms (0.9%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
69.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
20.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	y	@	-inf	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
3.0ms	y	@	0	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
1.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite223.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`*-commutative`
734×	`distribute-lft-in`
722×	`distribute-rgt-in`
686×	`associate-*r/`
540×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	226	30
2	2914	30

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

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

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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)))))))

simplify226.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1258×	`+-commutative`
1190×	`associate-+l-`
1082×	`fma-def`
826×	`associate-+r-`
696×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	10599
1	1136	9469
2	5937	9469

Stop Event

1×	node limit

Counts

195 → 254

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.2b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite70.0ms (0.6%)

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)))))))

simplify84.0ms (0.8%)

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))

eval98.0ms (0.9%)

Compiler: Compiled 7423 to 2453 computations (67% saved)

prune46.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	327	7	334
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	329	7	336

Error

0.2b

Counts

336 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	12.7b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	0.7b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
▶	8.1b	(-.f64 (log.f64 2) (*.f64 x y))
▶	12.7b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	30.9b	(*.f64 x (neg.f64 y))
▶	32.2b	(log1p.f64 (exp.f64 x))
	32.2b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 118 to 92 computations (22% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	0.0b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	0.9b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 46 to 28 computations (39.1% saved)

series48.0ms (0.4%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
11.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
6.0ms	x	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
1.0ms	x	@	0	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`distribute-lft-in`
926×	`associate-*r/`
802×	`associate-*l/`
404×	`associate-+l+`
298×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	291	51
2	3721	51

Stop Event

1×	node limit

Counts

3 → 276

Calls

Call 1

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

Outputs

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

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1376×	`fma-def`
752×	`associate-+r+`
748×	`associate-+l+`
708×	`associate-r`
674×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	693	18254
1	1879	14534

Stop Event

1×	node limit

Counts

308 → 394

Calls

Call 1

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

Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(fma.f64 1/2 (/.f64 x 2) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 2) 2)) (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/2 (/.f64 x 2) (.f64 (.f64 x x) 1/16)))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))) (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2))))))
(fma.f64 1/6 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (fma.f64 3 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3)) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 2) 2)) (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x))))))
(+.f64 (fma.f64 1/2 (/.f64 x 2) (.f64 (.f64 x x) 1/16)) (fma.f64 1/6 (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (pow.f64 x 3)) (log.f64 (sqrt.f64 2))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (.f64 x (.f64 x 1/8))))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x) (.f64 1/3 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x (.f64 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (fma.f64 3 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3)) 1/3))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (.f64 x x) 1/8 (fma.f64 x (-.f64 1/2 y) (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (*.f64 (pow.f64 x 3) 1/3)))))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (sqrt.f64 2))
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(/.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 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (/.f64 (-.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 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.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)
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (.f64 0 (.f64 x y))))
(fma.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2 (.f64 x (neg.f64 y)))
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (.f64 0 (.f64 x y))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (.f64 0 (.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)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) 1) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) 1) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

localize4.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (0%)

Counts

2 → 27

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(*.f64 (-.f64 1/2 y) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	y	@	inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	x	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	x	@	inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	238	32
2	3046	32

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	343	7606
1	969	6680
2	4203	6680

Stop Event

1×	node limit

Counts

148 → 201

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 8 to 4 computations (50% saved)

eval284.0ms (2.5%)

Compiler: Compiled 16688 to 8913 computations (46.6% saved)

prune170.0ms (1.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	660	10	670
Fresh	2	0	2
Picked	0	1	1
Done	2	2	4
Total	664	13	677

Error

0.2b

Counts

677 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	29.4b	(/.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)))))
▶	8.6b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	8.1b	(-.f64 (log.f64 2) (*.f64 x y))
▶	13.1b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
	12.8b	(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
▶	32.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	14.0b	(*.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))))
▶	43.0b	(*.f64 (-.f64 1/2 y) x)
✓	30.9b	(*.f64 x (neg.f64 y))
	32.8b	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	32.2b	(log1p.f64 (exp.f64 x))
▶	32.2b	(log.f64 (+.f64 (exp.f64 x) 1))
	32.4b	(log.f64 2)

Compiler

Compiled 321 to 268 computations (16.5% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	1.0b	(log.f64 (sqrt.f64 2))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
1.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
0.0ms	y	@	inf	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
0.0ms	x	@	inf	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
0.0ms	x	@	-inf	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`*-commutative`
822×	`unswap-sqr`
638×	`swap-sqr`
588×	`distribute-lft-in`
578×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	232	26
2	2968	26

Stop Event

1×	node limit

Counts

2 → 201

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 2 1/4))) (log.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 2 1/4))) (*.f64 1 (log.f64 (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (cbrt.f64 2))) (*.f64 1 (log.f64 (cbrt.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 2 1/4)) 1) (*.f64 (log.f64 (pow.f64 2 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 2)) 1) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2)))) (cbrt.f64 (log.f64 (sqrt.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2)))) (cbrt.f64 (log.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))))) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sqrt.f64 2) 1))))))

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

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-*r/`
900×	`+-commutative`
788×	`fma-def`
666×	`associate-+l-`
518×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	9815
1	1363	8363
2	5518	8279

Stop Event

1×	node limit

Counts

225 → 274

Calls

Call 1

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

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

localize5.0ms (0%)

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)

localize9.0ms (0.1%)

Compiler: Compiled 16 to 13 computations (18.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`add-sqr-sqrt`
1392×	`*-un-lft-identity`
1294×	`add-cube-cbrt`
1280×	`add-cbrt-cube`
1266×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	154	9
2	1819	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 x) 1))

Outputs

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1160×	`distribute-lft-in`
1074×	`*-commutative`
992×	`distribute-rgt-in`
732×	`distribute-lft-out`
708×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	471
1	161	447
2	568	441
3	2489	435
4	5993	429

Stop Event

1×	node limit

Counts

33 → 42

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	0.0b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
✓	0.5b	(cbrt.f64 (*.f64 (-.f64 1/2 y) x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)

Compiler

Compiled 42 to 31 computations (26.2% saved)

series11.0ms (0.1%)

Counts

3 → 17

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
1.0ms	y	@	0	(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
1.0ms	x	@	0	(cbrt.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)

rewrite124.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`associate-*r/`
926×	`associate-*l/`
754×	`distribute-rgt-in`
714×	`distribute-lft-in`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	302	49
2	3553	49

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

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 x 1/2) (*.f64 x (*.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))))) (#(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 1/2 x) (*.f64 (*.f64 (neg.f64 y) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 y) x) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x 1/2)) (*.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 (neg.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change 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2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))))

simplify171.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1054×	`+-commutative`
1042×	`associate-r`
942×	`associate-l`
784×	`associate-/l*`
680×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	637	11776
1	1864	11142
2	7711	11142

Stop Event

1×	node limit

Counts

222 → 332

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (pow.f64 1 1/3) x))
(+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (.f64 1 x) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (+.f64 (.f64 4/27 (.f64 (pow.f64 1 1/9) (pow.f64 x 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (.f64 1 x) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 1/2 (.f64 (pow.f64 1 1/3) x)))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))))
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(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))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(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 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (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 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.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))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))

Outputs
(.f64 1/2 (.f64 (pow.f64 1 1/3) x))
(*.f64 1/2 x)
(+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))
(fma.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) (neg.f64 y)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (.f64 1 x) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 (cbrt.f64 1/2) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 x) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9)) (fma.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (.f64 1/2 x)))
(fma.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) -1/9)) (.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/9))) (.f64 y y) (fma.f64 1/2 x (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) (neg.f64 y))))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (+.f64 (.f64 4/27 (.f64 (pow.f64 1 1/9) (pow.f64 x 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (.f64 1 x) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 1/2 (.f64 (pow.f64 1 1/3) x)))))
(fma.f64 (pow.f64 y 3) (fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 4/27 (.f64 x x)) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27)) (cbrt.f64 1/2)))))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9) (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27))) (.f64 2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))))))) (fma.f64 (.f64 y y) (fma.f64 (.f64 (cbrt.f64 1/2) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 x) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9)) (fma.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (.f64 1/2 x))))
(fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) -1/9)) (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (cbrt.f64 1/2))) (.f64 4/27 (.f64 x x))) (.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 2/27)))) (fma.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) -1/9)) (.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/9))) (.f64 y y) (fma.f64 1/2 x (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) (neg.f64 y)))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (.f64 (cbrt.f64 1/2) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 x) (.f64 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (.f64 y y))) (.f64 (cbrt.f64 1/2) (cbrt.f64 x))))
(fma.f64 -1/3 (.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) y) (.f64 (pow.f64 (pow.f64 x 11) 1/18) y))) (.f64 (cbrt.f64 1/2) (cbrt.f64 x))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (.f64 y y))) (.f64 (cbrt.f64 1/2) (cbrt.f64 x)))))
(fma.f64 -1/3 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 y 3)) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27))) (fma.f64 -1/3 (.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) y) (.f64 (pow.f64 (pow.f64 x 11) 1/18) y))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))))
(+.f64 (log.f64 2) (.f64 1/2 (.f64 (pow.f64 1 1/3) x)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))
(fma.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (+.f64 (log.f64 2) (.f64 1/2 x)))
(fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) -1)) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (.f64 1 x) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 (cbrt.f64 1/2) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 x) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9)) (fma.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (+.f64 (log.f64 2) (.f64 1/2 x))))
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(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (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 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(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))
(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))
(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))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval588.0ms (5.3%)

Compiler: Compiled 20064 to 14640 computations (27% saved)

prune224.0ms (2%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	777	5	782
Fresh	2	3	5
Picked	1	0	1
Done	1	6	7
Total	781	14	795

Error

0.2b

Counts

795 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.7b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	43.1b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓	8.6b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	8.1b	(-.f64 (log.f64 2) (*.f64 x y))
▶	13.5b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3) (log.f64 2))
	32.3b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2))
▶	12.8b	(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
✓	32.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	30.9b	(*.f64 x (neg.f64 y))
▶	32.8b	(*.f64 2 (log.f64 (sqrt.f64 2)))
▶	61.8b	(*.f64 1/2 x)
✓	32.2b	(log1p.f64 (exp.f64 x))
✓	32.2b	(log.f64 (+.f64 (exp.f64 x) 1))
	32.4b	(log.f64 2)

Compiler

Compiled 199 to 166 computations (16.6% saved)

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
✓	0.1b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))

Compiler

Compiled 34 to 26 computations (23.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite103.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`associate-/r*`
908×	`associate-/l*`
774×	`distribute-rgt-in`
738×	`distribute-lft-in`
654×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	283	32
2	3744	32

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

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 x 1/2) (*.f64 x (*.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))))) (#(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 1/2 x) (*.f64 (*.f64 (neg.f64 y) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 y) x) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x 1/2)) (*.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x -1) -1/2) (*.f64 (/.f64 x -1) (neg.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 (neg.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 x -1)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 x -1)))))) (#(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 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (neg.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (+.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1/2 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (*.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) -1) (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 1/2 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 1/2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 1) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) 1) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1/2 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/2 y)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) -1) (cbrt.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (-.f64 (*.f64 y y) (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (-.f64 1/16 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))))) (-.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))) (*.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 (/.f64 (/.f64 -1 x) (+.f64 -1/2 y)) -1)))) (#(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 neg.f64 (*.f64 x (+.f64 -1/2 y)))))) (#(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 x) (-.f64 1/2 y)))))) (#(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 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 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (log1p.f64 (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 3) (pow.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(pow.f64 (exp.f64 x) (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))))))

simplify150.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1434×	`associate-/l/`
1198×	`associate-/r/`
726×	`associate-+r+`
692×	`associate-+l+`
646×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	359	5347
1	1062	5155
2	4752	5155

Stop Event

1×	node limit

Counts

171 → 182

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.4b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 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))

rewrite103.0ms (0.9%)

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	31
1	259	13
2	3833	13

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.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))))))))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-+r+`
874×	`associate-+l+`
662×	`associate-/l*`
556×	`distribute-lft-in`
530×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1918
1	426	1894
2	1480	1862
3	5557	1856

Stop Event

1×	node limit

Counts

76 → 74

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 (.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))))

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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(+.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (.f64 x (/.f64 (.f64 y y) (-.f64 -1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 y y) (/.f64 (-.f64 -1/2 y) x)))
(fma.f64 x (/.f64 y (+.f64 (/.f64 -1/2 y) -1)) (/.f64 x (/.f64 (+.f64 1/2 y) 1/4)))
(*.f64 x (+.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 y (+.f64 -1 (/.f64 -1/2 y)))))
(+.f64 (.f64 (/.f64 (.f64 y y) (-.f64 -1/2 y)) x) (*.f64 1/4 (/.f64 x (+.f64 y 1/2))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (.f64 x (/.f64 (.f64 y y) (-.f64 -1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 y y) (/.f64 (-.f64 -1/2 y) x)))
(fma.f64 x (/.f64 y (+.f64 (/.f64 -1/2 y) -1)) (/.f64 x (/.f64 (+.f64 1/2 y) 1/4)))
(*.f64 x (+.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 y (+.f64 -1 (/.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (.f64 x (/.f64 (.f64 y y) (-.f64 -1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 y y) (/.f64 (-.f64 -1/2 y) x)))
(fma.f64 x (/.f64 y (+.f64 (/.f64 -1/2 y) -1)) (/.f64 x (/.f64 (+.f64 1/2 y) 1/4)))
(*.f64 x (+.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 y (+.f64 -1 (/.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 (neg.f64 x) (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 -1/2 y)))
(.f64 (/.f64 (neg.f64 (-.f64 1/4 (.f64 y y))) (-.f64 -1/2 y)) x)
(*.f64 x (/.f64 (fma.f64 y y -1/4) (-.f64 -1/2 y)))
(.f64 (+.f64 (.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
(.f64 (neg.f64 x) (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 -1/2 y)))
(.f64 (/.f64 (neg.f64 (-.f64 1/4 (.f64 y y))) (-.f64 -1/2 y)) x)
(*.f64 x (/.f64 (fma.f64 y y -1/4) (-.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 1 (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (sqrt.f64 (/.f64 (+.f64 1/2 y) 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 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 2)) (/.f64 (-.f64 1/4 (.f64 y y)) (cbrt.f64 (/.f64 (+.f64 1/2 y) x))))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (/.f64 (+.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 2))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 -1/2 y)) (neg.f64 x))
(.f64 (neg.f64 x) (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 -1/2 y)))
(.f64 (/.f64 (neg.f64 (-.f64 1/4 (.f64 y y))) (-.f64 -1/2 y)) x)
(*.f64 x (/.f64 (fma.f64 y y -1/4) (-.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 2)) (/.f64 (-.f64 1/4 (.f64 y y)) (cbrt.f64 (/.f64 (+.f64 1/2 y) x))))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (/.f64 (+.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 2))
(.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.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 1 (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x))) (sqrt.f64 (/.f64 (+.f64 1/2 y) 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))))
(.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 (.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (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 (neg.f64 x) (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 -1/2 y)))
(.f64 (/.f64 (neg.f64 (-.f64 1/4 (.f64 y y))) (-.f64 -1/2 y)) x)
(*.f64 x (/.f64 (fma.f64 y y -1/4) (-.f64 -1/2 y)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(*.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))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	1.0b	(log.f64 (sqrt.f64 2))

Compiler

Compiled 13 to 13 computations (0% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (*.f64 (-.f64 1/2 y) x))
✓	0.6b	(cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
✓	0.7b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3)
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)

Compiler

Compiled 64 to 49 computations (23.4% saved)

series109.0ms (1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
42.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)
24.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)
12.0ms	x	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)
11.0ms	y	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3)
5.0ms	y	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3)

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`unswap-sqr`
944×	`*-commutative`
596×	`swap-sqr`
548×	`associate-*r/`
446×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	280	51
2	2930	51

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3)
(cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/18) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))))))

simplify271.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1058×	`fma-def`
700×	`+-commutative`
676×	`distribute-lft-in`
674×	`distribute-rgt-in`
670×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	772	24094
1	2419	19946
2	7656	19946

Stop Event

1×	node limit

Counts

240 → 366

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)) (.f64 y (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (.f64 -4/9 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 1/8 1/9))))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 8/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (+.f64 (.f64 (+.f64 (.f64 4/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 -32/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))) (pow.f64 (.f64 x 1/2) 1/9)) (.f64 -16/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)))))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)) (.f64 y (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (.f64 -4/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)))))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 8/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (+.f64 (.f64 (+.f64 (.f64 4/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 -32/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))) (pow.f64 (.f64 x 1/2) 1/9)) (.f64 -16/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)))))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)) (+.f64 (.f64 y (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (.f64 -4/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -2/9 (.f64 (+.f64 (.f64 4/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 -32/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))) (pow.f64 (.f64 x 1/2) 1/9))) (+.f64 (.f64 64/729 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (+.f64 (.f64 -544/2187 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (.f64 (+.f64 (.f64 64/729 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 -1088/2187 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))) (pow.f64 (.f64 x 1/2) 1/9)))))))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 3)
(+.f64 (.f64 -1/18 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 3)))
(+.f64 (.f64 -1/18 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (+.f64 (.f64 1/162 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) (pow.f64 y 2))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (.f64 1/324 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)) (.f64 -2/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)))) (pow.f64 y 2)) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (+.f64 (.f64 -1/81 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) (pow.f64 y 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 3))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (.f64 1/324 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)) (.f64 -2/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)))) (pow.f64 y 2)) (+.f64 (.f64 1/162 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) (pow.f64 y 2))) (+.f64 (.f64 1/729 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) (pow.f64 y 3))) (+.f64 (.f64 -1/81 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) (pow.f64 y 2))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (.f64 -17/2187 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)) (.f64 1/729 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)))) (pow.f64 y 3)) (+.f64 (.f64 -17/4374 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) (pow.f64 y 3))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (.f64 1/324 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)) (.f64 -2/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)))) (pow.f64 y 3))))))))))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3) (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3))) y)))
(+.f64 (.f64 1/162 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3) (pow.f64 y 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3))) y)) (+.f64 (.f64 -1/81 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3) (pow.f64 y 2))) (/.f64 (.f64 (+.f64 (.f64 1/324 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)) (.f64 -2/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))))) (pow.f64 y 2))))))
(+.f64 (.f64 1/162 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3) (pow.f64 y 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3))) y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (.f64 (+.f64 (.f64 1/324 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)) (.f64 -2/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))))) (+.f64 (.f64 17/4374 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)) (+.f64 (.f64 -1/729 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)) (.f64 (+.f64 (.f64 -1/729 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)) (.f64 17/2187 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))))))) (pow.f64 y 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/324 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)) (.f64 -2/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))))) (pow.f64 y 2)) (.f64 -1/81 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3) (pow.f64 y 2))))))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 3)
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))
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(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3/2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(.f64 (.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 1/6) 1/6) (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 1/6) 1/6)) (.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 1/6) 1/6) (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 1/6)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 1/6)) (*.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 x) 1/6)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 x) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 1/6))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/6))))
(.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 1/18) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/18))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/3)
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1/9)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))

Outputs
(.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18)))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)) (.f64 y (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (.f64 -4/9 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 1/8 1/9))))))
(fma.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18)) (.f64 y (.f64 (.f64 (cbrt.f64 x) (*.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) -2/3)))
(fma.f64 y (.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) -2/3) (.f64 (cbrt.f64 x) (*.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 8/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (+.f64 (.f64 (+.f64 (.f64 4/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 -32/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))) (pow.f64 (.f64 x 1/2) 1/9)) (.f64 -16/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)))))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)) (.f64 y (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (.f64 -4/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)))))))
(fma.f64 (.f64 y y) (fma.f64 8/81 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 1/18) (pow.f64 (.f64 1/4 (.f64 x x)) 1/18)) -28/81) (.f64 (pow.f64 (.f64 x 1/2) 1/18) (pow.f64 (.f64 x 1/2) 1/18)) (.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) -16/81))) (fma.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18)) (.f64 y (.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) -2/3))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) 8/81 (fma.f64 (.f64 (.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 1/18) (pow.f64 (.f64 1/4 (.f64 x x)) 1/18)) -28/81) (.f64 (pow.f64 (.f64 x 1/2) 1/18) (pow.f64 (.f64 x 1/2) 1/18)) (.f64 (.f64 -16/81 (cbrt.f64 x)) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))))) (fma.f64 y (.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) -2/3) (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18)))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 8/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (+.f64 (.f64 (+.f64 (.f64 4/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 -32/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))) (pow.f64 (.f64 x 1/2) 1/9)) (.f64 -16/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)))))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9)) (+.f64 (.f64 y (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (.f64 -4/9 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -2/9 (.f64 (+.f64 (.f64 4/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 -32/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))) (pow.f64 (.f64 x 1/2) 1/9))) (+.f64 (.f64 64/729 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (+.f64 (.f64 -544/2187 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 1/8 1/9))) (.f64 (+.f64 (.f64 64/729 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 -1088/2187 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))) (pow.f64 (.f64 x 1/2) 1/9)))))))))
(fma.f64 (.f64 y y) (fma.f64 8/81 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 1/18) (pow.f64 (.f64 1/4 (.f64 x x)) 1/18)) -28/81) (.f64 (pow.f64 (.f64 x 1/2) 1/18) (pow.f64 (.f64 x 1/2) 1/18)) (.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) -16/81))) (fma.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18)) (fma.f64 y (.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) -2/3) (.f64 (pow.f64 y 3) (fma.f64 -2/9 (.f64 (.f64 (.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 1/18) (pow.f64 (.f64 1/4 (.f64 x x)) 1/18)) -28/81) (.f64 (pow.f64 (.f64 x 1/2) 1/18) (pow.f64 (.f64 x 1/2) 1/18))) (fma.f64 64/729 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) (fma.f64 -544/2187 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) (.f64 (.f64 (pow.f64 (.f64 x 1/2) 1/18) (pow.f64 (.f64 x 1/2) 1/18)) (.f64 (.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 1/18) (pow.f64 (.f64 1/4 (.f64 x x)) 1/18)) -896/2187)))))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) 8/81 (fma.f64 (.f64 (.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 1/18) (pow.f64 (.f64 1/4 (.f64 x x)) 1/18)) -28/81) (.f64 (pow.f64 (.f64 x 1/2) 1/18) (pow.f64 (.f64 x 1/2) 1/18)) (.f64 (.f64 -16/81 (cbrt.f64 x)) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))))) (fma.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18)) (fma.f64 (pow.f64 y 3) (fma.f64 -2/9 (.f64 (.f64 (.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 1/18) (pow.f64 (.f64 1/4 (.f64 x x)) 1/18)) -28/81) (.f64 (pow.f64 (.f64 x 1/2) 1/18) (pow.f64 (.f64 x 1/2) 1/18))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x 1/2) 1/18) (pow.f64 (.f64 x 1/2) 1/18)) (.f64 (.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 1/18) (pow.f64 (.f64 1/4 (.f64 x x)) 1/18)) -896/2187)) (.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) -352/2187))) (.f64 y (.f64 (.f64 (cbrt.f64 x) (*.f64 (pow.f64 1/8 1/18) (pow.f64 1/8 1/18))) -2/3)))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 3)
(+.f64 (.f64 -1/18 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 3)))
(fma.f64 -1/18 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 3) y) (fma.f64 -1/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 3) y) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 3)))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 3) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 3) y) -1/6))
(+.f64 (.f64 -1/18 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (+.f64 (.f64 1/162 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) (pow.f64 y 2))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (.f64 1/324 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)) (.f64 -2/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)))) (pow.f64 y 2)) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (+.f64 (.f64 -1/81 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) (pow.f64 y 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 3))))))
(fma.f64 -1/18 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 3) y) (fma.f64 1/162 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 3) (.f64 y y)) (+.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (.f64 y y) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 2) -7/324))) (fma.f64 -1/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 3) y) (fma.f64 -1/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 3) (.f64 y y)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 3))))))
(fma.f64 -1/18 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 3) y) (+.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 3) y) -1/9 (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 3) (.f64 y y)) -1/81 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 3))) (fma.f64 1/162 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 3) (.f64 y y)) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (.f64 y y)) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 2) -7/324)))))
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(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))

eval697.0ms (6.3%)

Compiler: Compiled 30638 to 23836 computations (22.2% saved)

prune197.0ms (1.8%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	704	6	710
Fresh	0	3	3
Picked	0	1	1
Done	0	10	10
Total	704	20	724

Error

0.2b

Counts

724 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.7b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	43.1b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓	8.6b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	8.1b	(-.f64 (log.f64 2) (*.f64 x y))
	13.9b	(+.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3) 3) 3) (log.f64 2))
	39.8b	(+.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3/2)) 3) 3) (log.f64 2))
✓	13.5b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3) (log.f64 2))
	32.3b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2))
✓	12.8b	(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
	53.4b	(+.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 6) (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 6) (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3))))) y)) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 9)) (log.f64 2))
	13.9b	(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 9)) (log.f64 2))
✓	32.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	56.2b	(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
	53.7b	(.f64 (+.f64 (.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
✓	30.9b	(*.f64 x (neg.f64 y))
✓	32.8b	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	61.8b	(*.f64 1/2 x)
✓	32.2b	(log1p.f64 (exp.f64 x))
✓	32.2b	(log.f64 (+.f64 (exp.f64 x) 1))
	32.4b	(log.f64 2)

Compiler

Compiled 354 to 294 computations (16.9% saved)

regimes72.0ms (0.6%)

Counts

30 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(.f64 (+.f64 (.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) 3) (log.f64 2))
(+.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3) 3) 3) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 9)) (log.f64 2))
(+.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3/2)) 3) 3) (log.f64 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 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 6) (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 6) (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 3))))) y)) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 9)) (log.f64 2))

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

Calls

3 calls:

20.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
16.0ms	x
13.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 475 to 366 computations (22.9% saved)

regimes43.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
8.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`

Compiler

Compiled 130 to 87 computations (33.1% saved)

regimes30.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
8.0ms	y

Results

Error	Segments	Branch
0.4b	2	`x`
8.1b	1	`y`

Compiler

Compiled 116 to 81 computations (30.2% saved)

bsearch39.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	-342877859456837100.0	-19981038644552.88

Results

18.0ms	39×	body	1024	valid
8.0ms	63×	body	256	valid
7.0ms	25×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes21.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
7.0ms	y

Results

Error	Segments	Branch
0.5b	2	`x`
8.1b	1	`y`

Compiler

Compiled 80 to 54 computations (32.5% saved)

bsearch39.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	-342877859456837100.0	-19981038644552.88

Results

20.0ms	38×	body	1024	valid
9.0ms	67×	body	256	valid
7.0ms	21×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 144 to 108 computations (25% saved)

regimes75.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	y
28.0ms	x

Results

Error	Segments	Branch
10.0b	3	`x`
19.8b	5	`y`

Compiler

Compiled 74 to 50 computations (32.4% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	3.5230600660201594e-148	4.1733281712844737e-147
20.0ms	-1.018602601194637e-64	-1.7379378026966798e-65

Results

29.0ms

192×

body

256

valid

Compiler

Compiled 166 to 138 computations (16.9% saved)

regimes18.0ms (0.2%)

Accuracy

Total -31.7b remaining (-102.6%)

Threshold costs -31.7b (-102.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	y
5.0ms	x

Results

Error	Segments	Branch
30.9b	1	`x`
30.9b	1	`y`

Compiler

Compiled 66 to 43 computations (34.8% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	193
1	57	193
2	71	193
3	76	193
4	78	193

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -20000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -20000000000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3853560729817883/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (.f64 x (neg.f64 y)) (if (<=.f64 x 3689109311525421/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -20000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -20000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -20000000000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3853560729817883/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (.f64 x (neg.f64 y)) (if (<=.f64 x 3689109311525421/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -3853560729817883/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (.f64 x (neg.f64 y)) (if (<=.f64 x 3689109311525421/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 86 to 61 computations (29.1% saved)

soundness0.0ms (0%)

end66.0ms (0.6%)

Compiler: Compiled 74 to 40 computations (45.9% saved)

Details

analyze178.0ms (1.6%)

sample4.6s (41.5%)

preprocess256.0ms (2.3%)

simplify225.0ms (2%)

eval1.0ms (0%)

prune4.0ms (0%)

localize32.0ms (0.3%)

series98.0ms (0.9%)

rewrite223.0ms (2%)

simplify226.0ms (2%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite70.0ms (0.6%)

simplify84.0ms (0.8%)

eval98.0ms (0.9%)

prune46.0ms (0.4%)

localize19.0ms (0.2%)

series48.0ms (0.4%)

rewrite107.0ms (1%)

simplify143.0ms (1.3%)

localize4.0ms (0%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite66.0ms (0.6%)

simplify64.0ms (0.6%)

localize12.0ms (0.1%)

series5.0ms (0%)

rewrite80.0ms (0.7%)

simplify103.0ms (0.9%)

localize6.0ms (0.1%)

eval284.0ms (2.5%)

prune170.0ms (1.5%)

localize14.0ms (0.1%)

series5.0ms (0%)

rewrite94.0ms (0.8%)

simplify131.0ms (1.2%)

localize5.0ms (0%)

localize9.0ms (0.1%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite50.0ms (0.4%)

simplify57.0ms (0.5%)

localize23.0ms (0.2%)

series11.0ms (0.1%)

rewrite124.0ms (1.1%)

simplify171.0ms (1.5%)

eval588.0ms (5.3%)

prune224.0ms (2%)

localize22.0ms (0.2%)

series1.0ms (0%)

rewrite103.0ms (0.9%)

simplify150.0ms (1.3%)

localize3.0ms (0%)

localize16.0ms (0.1%)

series3.0ms (0%)

rewrite103.0ms (0.9%)

simplify67.0ms (0.6%)

localize13.0ms (0.1%)

localize30.0ms (0.3%)

series109.0ms (1%)

rewrite101.0ms (0.9%)

simplify271.0ms (2.4%)

eval697.0ms (6.3%)

prune197.0ms (1.8%)

regimes72.0ms (0.6%)

regimes43.0ms (0.4%)

regimes30.0ms (0.3%)

bsearch39.0ms (0.3%)

regimes21.0ms (0.2%)

bsearch39.0ms (0.4%)

regimes75.0ms (0.7%)

bsearch32.0ms (0.3%)

regimes18.0ms (0.2%)

simplify9.0ms (0.1%)

soundness0.0ms (0%)

end66.0ms (0.6%)

Profiling