Details

analyze21.0ms (0.3%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	3
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	4
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	5
78.6%	68.7%	18.7%	0.1%	0%	0%	12.5%	6
80%	68.7%	17.2%	0.1%	0%	0%	14%	7
87.1%	68.7%	10.1%	0.1%	0%	0%	21.1%	8
88.4%	68.7%	9%	0.1%	0%	0%	22.2%	9
92.9%	68.7%	5.3%	0.1%	0%	0%	26%	10
93.7%	68.7%	4.6%	0.1%	0%	0%	26.6%	11
96.2%	68.7%	2.7%	0.1%	0%	0%	28.5%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample933.0ms (12.2%)

Results

902.0ms	8256×	body	256	valid
17.0ms	195×	body	256	unsamplable

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	12	50
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	10	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.0ms	b	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`associate-*r/`
900×	`*-commutative`
794×	`associate-/r*`
654×	`associate-*l/`
614×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	187	40
2	2530	40

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))

Outputs
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Outputs

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simplify447.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

840×	`+-commutative`
714×	`associate-+r+`
666×	`times-frac`
604×	`associate-r`
600×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	493	11055
1	1397	8829
2	6725	8829

Stop Event

1×	node limit

Counts

191 → 266

Calls

Call 1

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

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

eval88.0ms (1.2%)

Compiler: Compiled 6833 to 2944 computations (56.9% saved)

prune53.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	261	5	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	262	5	267

Error

Counts

267 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
▶	20.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	14.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	21.7b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
▶	0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 122 to 84 computations (31.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series8.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
1.0ms	a	@	-inf	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
1.0ms	a	@	0	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
1.0ms	a	@	inf	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
0.0ms	a	@	-inf	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)

rewrite96.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`associate-*r/`
1024×	`*-commutative`
1010×	`associate-/r*`
860×	`associate-*l/`
698×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	232	50
2	3005	50

Stop Event

1×	node limit

Counts

2 → 245

Calls

Call 1

Inputs
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)) (.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))))) 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-/l*`
904×	`+-commutative`
694×	`*-commutative`
644×	`associate-r`
606×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	669	13543
1	1821	12221
2	7894	12221

Stop Event

1×	node limit

Counts

277 → 391

Calls

Call 1

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

Outputs
(+.f64 1 (exp.f64 b))
(+.f64 (.f64 -1 (.f64 a (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(fma.f64 -1 (*.f64 (exp.f64 b) a) (+.f64 1 (exp.f64 b)))
(+.f64 (exp.f64 b) (fma.f64 (neg.f64 a) (exp.f64 b) 1))
(+.f64 (.f64 -1 (.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))))) (exp.f64 b))))
(fma.f64 -1 (.f64 (exp.f64 b) a) (+.f64 1 (fma.f64 (.f64 a a) (-.f64 1/2 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b)))) (exp.f64 b))))
(+.f64 (fma.f64 (.f64 a a) (-.f64 (-.f64 0 (.f64 (exp.f64 b) 1/2)) (neg.f64 (exp.f64 b))) (exp.f64 b)) (fma.f64 (neg.f64 a) (exp.f64 b) 1))
(+.f64 (.f64 -1 (.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (.f64 1/2 (+.f64 1 (exp.f64 b))) (.f64 -1 (exp.f64 b))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 1 (exp.f64 b))) (.f64 -1 (exp.f64 b))) (+.f64 1/3 (+.f64 (.f64 -1/2 (exp.f64 b)) (.f64 1/6 (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 -1 (.f64 (exp.f64 b) a) (+.f64 1 (fma.f64 (.f64 a a) (-.f64 1/2 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b)))) (fma.f64 (-.f64 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b))) (+.f64 1/3 (fma.f64 -1/2 (exp.f64 b) (+.f64 1/6 (*.f64 1/6 (exp.f64 b)))))) (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (fma.f64 (.f64 a a) (-.f64 (-.f64 0 (.f64 (exp.f64 b) 1/2)) (neg.f64 (exp.f64 b))) (fma.f64 (-.f64 (+.f64 (fma.f64 (+.f64 1 (exp.f64 b)) 1/2 (neg.f64 (exp.f64 b))) -1/3) (fma.f64 (exp.f64 b) -1/2 (+.f64 1/6 (*.f64 (exp.f64 b) 1/6)))) (pow.f64 a 3) (exp.f64 b))) (fma.f64 (neg.f64 a) (exp.f64 b) 1))
(/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a)))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(+.f64 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))) (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) 1))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) 1)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a))) (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a))))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)) (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))))
(+.f64 (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)) (/.f64 b (exp.f64 a)))) (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) 1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 (exp.f64 b) a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b)))
(+.f64 (/.f64 (.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 (.f64 (exp.f64 b) a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (fma.f64 (-.f64 (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b)) (fma.f64 (.f64 a a) (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 (.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 -1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (exp.f64 b)) (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (.f64 1/3 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (.f64 (-.f64 1/2 (+.f64 (.f64 1/2 (+.f64 1 (exp.f64 b))) (.f64 -1 (exp.f64 b)))) (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 3))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 (.f64 (exp.f64 b) a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (fma.f64 (-.f64 (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 a a) (fma.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (.f64 (exp.f64 b) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))) (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 1/3 (+.f64 1 (exp.f64 b))) (/.f64 (.f64 (exp.f64 b) (-.f64 1/2 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b)) (fma.f64 (.f64 a a) (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (fma.f64 (pow.f64 a 3) (-.f64 (fma.f64 -1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (-.f64 (+.f64 (/.f64 1/3 (+.f64 1 (exp.f64 b))) (.f64 (/.f64 (-.f64 (-.f64 0 (.f64 (exp.f64 b) 1/2)) (neg.f64 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (/.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
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(/.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) (sqrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(/.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))) 2))))
(/.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b)))))))
(/.f64 (/.f64 (neg.f64 (exp.f64 a)) -1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (neg.f64 (exp.f64 a)) 1) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (neg.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (neg.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (neg.f64 (exp.f64 a)) (sqrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))) (sqrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (neg.f64 (exp.f64 a)) (*.f64 (cbrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) (cbrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))) (cbrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 (neg.f64 a)))) (sqrt.f64 (exp.f64 (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (cbrt.f64 (exp.f64 (neg.f64 a))) (cbrt.f64 (exp.f64 (neg.f64 a))))) (cbrt.f64 (exp.f64 (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))) 2))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) 1) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))))
(/.f64 (exp.f64 a) (.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))))
(/.f64 (exp.f64 a) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) 1) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 -1 a b)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (exp.f64 (neg.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (*.f64 (cbrt.f64 (exp.f64 (neg.f64 a))) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))) 2) (*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (cbrt.f64 (exp.f64 (neg.f64 a)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) -2))
(fabs.f64 (/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a)))))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(exp.f64 (log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(+.f64 1 (exp.f64 b))
0.0ms	b	@	inf	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	-inf	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`add-sqr-sqrt`
1544×	`*-un-lft-identity`
1440×	`add-cube-cbrt`
1426×	`add-cbrt-cube`
1410×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	163	28
2	1984	28

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))

Outputs

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1544×	`distribute-lft-in`
1474×	`distribute-rgt-in`
1066×	`unswap-sqr`
580×	`associate-/r*`
572×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1762
1	365	1576
2	1354	1274
3	5449	1274

Stop Event

1×	node limit

Counts

68 → 103

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 b 5)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1)
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/48 (pow.f64 b 3)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 b 5)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2))
(+.f64 2 (fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)) (cbrt.f64 (+.f64 2 (expm1.f64 b))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)) (cbrt.f64 (+.f64 2 (expm1.f64 b))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 -1 (-.f64 -2 (expm1.f64 b)))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 2) b)))
(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(*.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1)
(/.f64 (-.f64 -1 (exp.f64 b)) -1)
(-.f64 1 (/.f64 (exp.f64 b) -1))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))
(exp.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(fma.f64 1 (exp.f64 b) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) b)) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) 1)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.0ms	a	@	0	(+.f64 1 (exp.f64 a))
0.0ms	a	@	inf	(+.f64 1 (exp.f64 a))

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`add-sqr-sqrt`
1690×	`*-un-lft-identity`
1576×	`add-cube-cbrt`
1558×	`add-cbrt-cube`
162×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	30
2	2097	30

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))

Outputs

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

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

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

996×	`associate-+r+`
848×	`associate-+l+`
782×	`unswap-sqr`
606×	`associate-/l*`
532×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1806
1	412	1540
2	1617	1452
3	5724	1452

Stop Event

1×	node limit

Counts

74 → 97

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(.f64 (sqrt.f64 (exp.f64 a)) (.f64 (sqrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (.f64 (cbrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)

Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 1/2 a) a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 a (.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 a)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(.f64 (sqrt.f64 (exp.f64 a)) (.f64 (sqrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (.f64 (cbrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 a))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -1 (exp.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)))
(.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (exp.f64 a) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(*.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -1 (exp.f64 a)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)
(+.f64 (exp.f64 a) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 (exp.f64 a) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(+.f64 (exp.f64 a) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 (exp.f64 a) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(+.f64 (exp.f64 a) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(+.f64 (exp.f64 a) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(+.f64 (exp.f64 a) 1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(+.f64 (exp.f64 a) 1)
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (exp.f64 a) 1)
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(+.f64 (exp.f64 a) 1)
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(fma.f64 1 (exp.f64 a) 1)
(+.f64 (exp.f64 a) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	1.2b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	2.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series126.0ms (1.6%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
58.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
33.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	b	@	0	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite134.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`*-commutative`
876×	`associate-*r/`
788×	`distribute-lft-in`
768×	`distribute-rgt-in`
674×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	226	69
2	3042	69

Stop Event

1×	node limit

Counts

3 → 295

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Outputs

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simplify225.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-/l*`
974×	`associate-r`
862×	`associate-l`
756×	`*-commutative`
630×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	827	23321
1	2284	23113

Stop Event

1×	node limit

Counts

331 → 493

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 -1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 -1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 a (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (.f64 a (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (.f64 a (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 -1/6 (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (.f64 -1 (/.f64 (.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (.f64 (+.f64 (.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (.f64 -1 (/.f64 (.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (.f64 (pow.f64 b 3) (-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a)))) (.f64 -1/6 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 (.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (.f64 (+.f64 (.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))))
(+.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))) 1)
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 a (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(+.f64 a (+.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(+.f64 a (+.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(+.f64 a (+.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 0)
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (+.f64 (fma.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
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(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (+.f64 (fma.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(+.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (*.f64 1 (fma.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (/.f64 (/.f64 (exp.f64 a) 1) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (exp.f64 1) (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))) (sqrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a a)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (.f64 a (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a a)) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(+.f64 (fma.f64 1/2 (.f64 a (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 1/6 (pow.f64 a 3))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 b (.f64 b (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 b (*.f64 b (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 -1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) -1/2)))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 -1/2 (*.f64 a a)))))
(+.f64 (.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 -1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 -1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a a)) -1/2))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 -1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 -1/2 (.f64 a a))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(+.f64 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(-.f64 (fma.f64 -1/2 (.f64 b (.f64 b (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (+.f64 a (fma.f64 -1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
(-.f64 (fma.f64 -1/2 (.f64 b (.f64 b (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 a (fma.f64 -1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 (.f64 a (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (.f64 a (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))
(fma.f64 (.f64 a a) (.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (.f64 a (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 -1/6 (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))
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(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
	0.0b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 a)) 2)

Compiler

Compiled 64 to 35 computations (45.3% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
0.0ms	a	@	inf	(/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
0.0ms	a	@	-inf	(/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
0.0ms	a	@	inf	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
0.0ms	a	@	0	(/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`add-sqr-sqrt`
1926×	`*-un-lft-identity`
1798×	`add-cube-cbrt`
1780×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	207	42
2	2535	42

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

Outputs

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

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

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1018×	`+-commutative`
920×	`distribute-lft-in`
814×	`distribute-rgt-in`
814×	`times-frac`
728×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2170
1	477	2122
2	1612	2050
3	6388	2050

Stop Event

1×	node limit

Counts

70 → 114

Calls

Call 1

Inputs
4
(+.f64 (*.f64 4 a) 4)
(+.f64 (.f64 4 a) (+.f64 (.f64 3 (pow.f64 a 2)) 4))
(+.f64 (.f64 4 a) (+.f64 (.f64 3 (pow.f64 a 2)) (+.f64 4 (*.f64 5/3 (pow.f64 a 3)))))
1/4
(+.f64 (*.f64 -1/16 (pow.f64 a 2)) 1/4)
(+.f64 (.f64 -1/16 (pow.f64 a 2)) (+.f64 1/4 (.f64 1/96 (pow.f64 a 4))))
(+.f64 (.f64 -1/16 (pow.f64 a 2)) (+.f64 (.f64 -17/11520 (pow.f64 a 6)) (+.f64 1/4 (*.f64 1/96 (pow.f64 a 4)))))
(+.f64 (+.f64 1 (exp.f64 a)) (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)))
(+.f64 (+.f64 1 (exp.f64 a)) (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 1)
(.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(.f64 (.f64 (+.f64 1 (exp.f64 a)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(/.f64 (.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (+.f64 a a)))) (.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 a))))
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 a 3))) (+.f64 1 (exp.f64 (.f64 a 3)))) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a)))
(/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 (.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (+.f64 1 (exp.f64 a))) (-.f64 1 (exp.f64 a)))
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 a 3))) (+.f64 1 (exp.f64 a))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (+.f64 1 (exp.f64 (.f64 a 3)))) (.f64 (-.f64 1 (exp.f64 a)) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 a 3))) (-.f64 1 (exp.f64 (+.f64 a a)))) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 1 (exp.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(exp.f64 (*.f64 2 (log1p.f64 (exp.f64 a))))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))))) 1)
(.f64 1 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a))))))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(.f64 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a))))) 1)
(.f64 (sqrt.f64 (exp.f64 a)) (.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) -2)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) -2)))
(.f64 (cbrt.f64 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a)))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a)))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (+.f64 1 (exp.f64 a))) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (cbrt.f64 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a)))))))
(pow.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))) 1)
(pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))) 3) 1/3)
(pow.f64 (exp.f64 (-.f64 (*.f64 2 (log1p.f64 (exp.f64 a))) a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))))

Outputs
4
(+.f64 (*.f64 4 a) 4)
(fma.f64 4 a 4)
(+.f64 (.f64 4 a) (+.f64 (.f64 3 (pow.f64 a 2)) 4))
(fma.f64 4 a (fma.f64 3 (*.f64 a a) 4))
(fma.f64 a (*.f64 a 3) (fma.f64 4 a 4))
(+.f64 (.f64 4 a) (+.f64 (.f64 3 (pow.f64 a 2)) (+.f64 4 (*.f64 5/3 (pow.f64 a 3)))))
(fma.f64 4 a (+.f64 (fma.f64 3 (.f64 a a) 4) (.f64 5/3 (pow.f64 a 3))))
(fma.f64 4 a (fma.f64 3 (*.f64 a a) (fma.f64 5/3 (pow.f64 a 3) 4)))
(fma.f64 a (*.f64 a 3) (fma.f64 4 a (fma.f64 5/3 (pow.f64 a 3) 4)))
1/4
(+.f64 (*.f64 -1/16 (pow.f64 a 2)) 1/4)
(fma.f64 -1/16 (*.f64 a a) 1/4)
(fma.f64 (*.f64 a a) -1/16 1/4)
(fma.f64 a (*.f64 a -1/16) 1/4)
(+.f64 (.f64 -1/16 (pow.f64 a 2)) (+.f64 1/4 (.f64 1/96 (pow.f64 a 4))))
(+.f64 (fma.f64 -1/16 (.f64 a a) 1/4) (.f64 1/96 (pow.f64 a 4)))
(fma.f64 (*.f64 a a) -1/16 (fma.f64 1/96 (pow.f64 a 4) 1/4))
(fma.f64 a (*.f64 a -1/16) (fma.f64 1/96 (pow.f64 a 4) 1/4))
(+.f64 (.f64 -1/16 (pow.f64 a 2)) (+.f64 (.f64 -17/11520 (pow.f64 a 6)) (+.f64 1/4 (*.f64 1/96 (pow.f64 a 4)))))
(fma.f64 -1/16 (.f64 a a) (fma.f64 -17/11520 (pow.f64 a 6) (+.f64 1/4 (.f64 1/96 (pow.f64 a 4)))))
(fma.f64 (*.f64 a a) -1/16 (fma.f64 -17/11520 (pow.f64 a 6) (fma.f64 1/96 (pow.f64 a 4) 1/4)))
(fma.f64 a (*.f64 a -1/16) (fma.f64 1/96 (pow.f64 a 4) (fma.f64 -17/11520 (pow.f64 a 6) 1/4)))
(+.f64 (+.f64 1 (exp.f64 a)) (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(+.f64 (+.f64 1 (exp.f64 a)) (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(+.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) 1)
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 1)
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))
(.f64 (.f64 (+.f64 1 (exp.f64 a)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(/.f64 (.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (+.f64 a a)))) (.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))) (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))))
(.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 a)))))
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 a 3))) (+.f64 1 (exp.f64 (.f64 a 3)))) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))
(/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a)))
(/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 1 (exp.f64 a)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a))))
(/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 (.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (+.f64 1 (exp.f64 a)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) (+.f64 1 (pow.f64 (exp.f64 a) 3)))
(*.f64 (+.f64 1 (exp.f64 a)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (+.f64 1 (exp.f64 a))) (-.f64 1 (exp.f64 a)))
(/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 1 (exp.f64 a)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a))))
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 a 3))) (+.f64 1 (exp.f64 a))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (+.f64 1 (exp.f64 a)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) (+.f64 1 (pow.f64 (exp.f64 a) 3)))
(*.f64 (+.f64 1 (exp.f64 a)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(/.f64 (.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (+.f64 1 (exp.f64 (.f64 a 3)))) (.f64 (-.f64 1 (exp.f64 a)) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))))
(.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (.f64 (-.f64 1 (exp.f64 a)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 a 3))) (-.f64 1 (exp.f64 (+.f64 a a)))) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 1 (exp.f64 a))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))))
(.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (.f64 (-.f64 1 (exp.f64 a)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 3))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(exp.f64 (*.f64 2 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 2) (log1p.f64 (exp.f64 a)))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 a))) 1))
(pow.f64 (exp.f64 2) (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))))) 1)
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(.f64 1 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(.f64 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a))))) 1)
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(.f64 (sqrt.f64 (exp.f64 a)) (.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) -2)))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) -2)))
(.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (cbrt.f64 (exp.f64 a))))
(.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (.f64 (cbrt.f64 (pow.f64 (exp.f64 2) a)) (cbrt.f64 (exp.f64 a))))
(.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (exp.f64 a))))
(.f64 (cbrt.f64 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a)))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))) 2))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a)))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2) (exp.f64 a))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(/.f64 (exp.f64 a) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(/.f64 (exp.f64 a) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) a)) (/.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (/.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (+.f64 1 (exp.f64 a))) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) a)) (/.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (/.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (cbrt.f64 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a)))))))
(.f64 (cbrt.f64 (exp.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a)))))) (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))))
(.f64 (cbrt.f64 (exp.f64 (+.f64 a (.f64 (log1p.f64 (exp.f64 a)) -2)))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 2) a)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4))))
(pow.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))) 1)
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) 2)
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))) 3)
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))) 3) 1/3)
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(pow.f64 (exp.f64 (-.f64 (*.f64 2 (log1p.f64 (exp.f64 a))) a)) -1)
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))) 2))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))))))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a))))) 3))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(exp.f64 (.f64 (-.f64 a (.f64 2 (log1p.f64 (exp.f64 a)))) 1))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))))
(exp.f64 (-.f64 a (*.f64 2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) -2)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) -2 a))

eval664.0ms (8.7%)

Compiler: Compiled 40907 to 16655 computations (59.3% saved)

prune539.0ms (7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1634	9	1643
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	1637	11	1648

Error

Counts

1648 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	21.5b	(/.f64 (exp.f64 a) 2)
	34.5b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	40.7b	(/.f64 1 (+.f64 b 2))
✓	14.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	0.0b	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
▶	39.3b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	39.1b	(+.f64 1/2 (*.f64 1/4 a))
▶	40.8b	(+.f64 1/2 (*.f64 -1/4 b))
▶	31.3b	(exp.f64 a)
	39.5b	1/2

Compiler

Compiled 154 to 126 computations (18.2% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
✓	0.0b	(-.f64 -1 (exp.f64 (-.f64 b a)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
1.0ms	a	@	0	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
0.0ms	b	@	-inf	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
0.0ms	a	@	-inf	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
0.0ms	b	@	inf	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`associate-*r/`
994×	`*-commutative`
866×	`associate-*l/`
576×	`distribute-lft-in`
554×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	221	40
2	2916	40

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(-.f64 -1 (exp.f64 (-.f64 b a)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))

Outputs

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

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate-/r/`
1042×	`associate-/l/`
682×	`associate-+r+`
668×	`+-commutative`
588×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	8776
1	1248	8322
2	5038	8268

Stop Event

1×	node limit

Counts

174 → 250

Calls

Call 1

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

Outputs
(*.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a))))
(neg.f64 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 -1 (/.f64 -1 (exp.f64 a)))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(+.f64 (.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a)))) (.f64 -1 (*.f64 b (exp.f64 (neg.f64 a)))))
(fma.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a))) (*.f64 (neg.f64 b) (exp.f64 (neg.f64 a))))
(-.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) (/.f64 b (exp.f64 a)))
(-.f64 (-.f64 -1 (exp.f64 (neg.f64 a))) (/.f64 b (exp.f64 a)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (exp.f64 (neg.f64 a)))) (+.f64 (.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a)))) (.f64 -1 (*.f64 b (exp.f64 (neg.f64 a))))))
(fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 a)) (.f64 b b)) (fma.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a))) (*.f64 (neg.f64 b) (exp.f64 (neg.f64 a)))))
(fma.f64 -1/2 (*.f64 b (/.f64 b (exp.f64 a))) (-.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) (/.f64 b (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 b (/.f64 b (exp.f64 a))) (-.f64 -1 (exp.f64 (neg.f64 a)))) (/.f64 b (exp.f64 a)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (exp.f64 (neg.f64 a)))) (+.f64 (.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (.f64 -1 (.f64 b (exp.f64 (neg.f64 a)))) (.f64 -1/6 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 a)))))))
(fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 a)) (.f64 b b)) (fma.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a))) (fma.f64 -1 (.f64 (exp.f64 (neg.f64 a)) b) (.f64 -1/6 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 b 3))))))
(fma.f64 -1/2 (.f64 b (/.f64 b (exp.f64 a))) (-.f64 (.f64 (exp.f64 (neg.f64 a)) (+.f64 (neg.f64 b) (*.f64 -1/6 (pow.f64 b 3)))) (+.f64 1 (exp.f64 (neg.f64 a)))))
(+.f64 (.f64 (exp.f64 (neg.f64 a)) (+.f64 (neg.f64 b) (.f64 -1/6 (pow.f64 b 3)))) (fma.f64 -1/2 (*.f64 b (/.f64 b (exp.f64 a))) (-.f64 -1 (exp.f64 (neg.f64 a)))))
(*.f64 -1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(*.f64 -1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(*.f64 -1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(*.f64 -1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(.f64 -1 (+.f64 (exp.f64 (neg.f64 (+.f64 a (.f64 -1 b)))) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(.f64 -1 (+.f64 (exp.f64 (neg.f64 (+.f64 a (.f64 -1 b)))) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(.f64 -1 (+.f64 (exp.f64 (neg.f64 (+.f64 a (.f64 -1 b)))) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(.f64 -1 (+.f64 (exp.f64 (neg.f64 (+.f64 a (.f64 -1 b)))) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(*.f64 -1 (+.f64 1 (exp.f64 b)))
(neg.f64 (+.f64 1 (exp.f64 b)))
(+.f64 -1 (neg.f64 (exp.f64 b)))
(-.f64 -1 (exp.f64 b))
(+.f64 (.f64 -1 (+.f64 1 (exp.f64 b))) (.f64 a (exp.f64 b)))
(fma.f64 -1 (+.f64 1 (exp.f64 b)) (*.f64 a (exp.f64 b)))
(-.f64 (*.f64 a (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(fma.f64 a (exp.f64 b) (-.f64 -1 (exp.f64 b)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (exp.f64 b))) (+.f64 (.f64 -1 (+.f64 1 (exp.f64 b))) (.f64 a (exp.f64 b))))
(fma.f64 -1/2 (.f64 (exp.f64 b) (.f64 a a)) (fma.f64 -1 (+.f64 1 (exp.f64 b)) (*.f64 a (exp.f64 b))))
(fma.f64 -1/2 (.f64 (exp.f64 b) (.f64 a a)) (-.f64 (*.f64 a (exp.f64 b)) (+.f64 1 (exp.f64 b))))
(fma.f64 -1/2 (.f64 (exp.f64 b) (.f64 a a)) (fma.f64 a (exp.f64 b) (-.f64 -1 (exp.f64 b))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (exp.f64 b))) (+.f64 (.f64 -1 (+.f64 1 (exp.f64 b))) (+.f64 (.f64 a (exp.f64 b)) (.f64 1/6 (.f64 (pow.f64 a 3) (exp.f64 b))))))
(fma.f64 -1/2 (.f64 (exp.f64 b) (.f64 a a)) (fma.f64 -1 (+.f64 1 (exp.f64 b)) (fma.f64 a (exp.f64 b) (.f64 1/6 (.f64 (exp.f64 b) (pow.f64 a 3))))))
(fma.f64 -1/2 (.f64 (exp.f64 b) (.f64 a a)) (-.f64 (.f64 (exp.f64 b) (+.f64 a (.f64 1/6 (pow.f64 a 3)))) (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 (exp.f64 b) (+.f64 a (.f64 1/6 (pow.f64 a 3)))) (fma.f64 -1/2 (.f64 (exp.f64 b) (.f64 a a)) (-.f64 -1 (exp.f64 b))))
(*.f64 -1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(*.f64 -1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(*.f64 -1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(*.f64 -1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(.f64 -1 (+.f64 1 (exp.f64 (+.f64 b (.f64 -1 a)))))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(.f64 -1 (+.f64 1 (exp.f64 (+.f64 b (.f64 -1 a)))))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(.f64 -1 (+.f64 1 (exp.f64 (+.f64 b (.f64 -1 a)))))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(.f64 -1 (+.f64 1 (exp.f64 (+.f64 b (.f64 -1 a)))))
(-.f64 -1 (exp.f64 (-.f64 b a)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (.f64 -1 (/.f64 (.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (*.f64 (neg.f64 b) (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (pow.f64 b 2))) (.f64 -1 (/.f64 (.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (fma.f64 -1 (.f64 (.f64 b b) (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (neg.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))))) (/.f64 (*.f64 (neg.f64 b) (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))
(fma.f64 -1 (fma.f64 (*.f64 b b) (-.f64 (/.f64 (/.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (fma.f64 (.f64 b b) (-.f64 (/.f64 1/2 (.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 a))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (pow.f64 b 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (exp.f64 (neg.f64 a))) (+.f64 1 (exp.f64 (neg.f64 a))))))))) (.f64 -1 (/.f64 (.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))))
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(/.f64 (+.f64 -1 (neg.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))) (-.f64 -1 (pow.f64 (exp.f64 (-.f64 b a)) 3)))
(/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)))
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a))))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)))) (sqrt.f64 (expm1.f64 (-.f64 b a))))
(.f64 (sqrt.f64 (expm1.f64 (-.f64 b a))) (/.f64 -1 (.f64 (sqrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))))))
(/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (sqrt.f64 (expm1.f64 (-.f64 b a)))))
(/.f64 -1 (*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a)))) (sqrt.f64 (expm1.f64 (-.f64 b a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)))))
(.f64 (/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a))))) (sqrt.f64 (-.f64 -1 (exp.f64 (.f64 (-.f64 b a) 3))))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(/.f64 (.f64 (/.f64 -1 (sqrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a))))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))) (sqrt.f64 (-.f64 -1 (pow.f64 (exp.f64 (-.f64 b a)) 3))))
(/.f64 (/.f64 (*.f64 -1 (sqrt.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))) (sqrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a))))) (sqrt.f64 (-.f64 -1 (pow.f64 (exp.f64 (-.f64 b a)) 3))))
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)))) (cbrt.f64 (expm1.f64 (-.f64 b a))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 b a))) (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)))))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (cbrt.f64 (expm1.f64 (-.f64 b a)))))
(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a)))) 2)) (cbrt.f64 (-.f64 -1 (exp.f64 (.f64 (-.f64 b a) 3))))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))) (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a)))) 2) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 (-.f64 b a)) 3))))))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 (-.f64 b a)))) 2)) (/.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (cbrt.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))))
(pow.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1)) 1)
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))) 2)
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))) 3)
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1)) 3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) 1) -1)
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(neg.f64 (/.f64 -1 (+.f64 (exp.f64 (-.f64 b a)) 1)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1)) 2))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1)))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1)) 3))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))

localize5.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`add-sqr-sqrt`
1420×	`*-un-lft-identity`
1336×	`add-cube-cbrt`
1326×	`add-cbrt-cube`
1314×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	13
2	1805	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(/.f64 1 (+.f64 b 2))

Outputs

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/l*`
1310×	`associate-/r*`
984×	`associate-r`
794×	`associate-l`
718×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1008
1	241	886
2	779	766
3	3186	760

Stop Event

1×	node limit

Counts

36 → 63

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
✓	0.1b	(*.f64 -1/48 (pow.f64 a 3))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(*.f64 -1/48 (pow.f64 a 3))
0.0ms	a	@	inf	(*.f64 -1/48 (pow.f64 a 3))
0.0ms	a	@	-inf	(*.f64 -1/48 (pow.f64 a 3))
0.0ms	a	@	inf	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
0.0ms	a	@	0	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`*-commutative`
1022×	`associate-*r/`
800×	`distribute-lft-in`
772×	`distribute-rgt-in`
688×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	273	36
2	3366	36

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2))) (-.f64 1 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a 1/4))) (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) (-.f64 1 (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 a -1/4))) (-.f64 (/.f64 (*.f64 1/16 (*.f64 a a)) (+.f64 1/2 (*.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a 6) (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) 1/2304)) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (/.f64 1/4 (+.f64 1/2 (*.f64 a -1/4)))) (/.f64 (*.f64 1/16 (*.f64 a a)) (+.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 a 1/4 1/2) (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (exp.f64 (log1p.f64 (*.f64 a 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (/.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (-.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (pow.f64 a 6) 1/2304)) (*.f64 (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 3) (pow.f64 (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (pow.f64 a 6) 1/2304)) (-.f64 (*.f64 (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))) (*.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))) (/.f64 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (/.f64 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))) (/.f64 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))) (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592)) (*.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (*.f64 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))) (-.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify164.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-/r*`
1516×	`associate-*r/`
1188×	`associate-*l/`
614×	`+-commutative`
546×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	292	7707
1	858	6939
2	3834	6939

Stop Event

1×	node limit

Counts

107 → 174

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 a 6) 1/2304) 3) (pow.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) 3)) (/.f64 1 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))) (+.f64 (.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (pow.f64 a 6) 1/2304)) (+.f64 (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (*.f64 (pow.f64 a 6) 1/2304)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (-.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) 3) (pow.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (-.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) 1) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (sqrt.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))) (sqrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (cbrt.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))) (cbrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (+.f64 (sqrt.f64 (fma.f64 a 1/4 1/2)) (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)))) (-.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (sqrt.f64 (fma.f64 a 1/4 1/2))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) 1) (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(exp.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2))
(fma.f64 1 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))
(fma.f64 1 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 (sqrt.f64 (fma.f64 a 1/4 1/2)) (sqrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (fma.f64 a 1/4 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) 2) (cbrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 (pow.f64 (.f64 a (cbrt.f64 -1/48)) 2) (.f64 a (cbrt.f64 -1/48)) (fma.f64 a 1/4 1/2))

Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 a 1/4 1/2)
(fma.f64 1/4 a 1/2)
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a))
(fma.f64 1/4 a (*.f64 -1/48 (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a))
(fma.f64 1/4 a (*.f64 -1/48 (pow.f64 a 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592))
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))))
(*.f64 -1/48 (pow.f64 a 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (log.f64 (*.f64 -1/48 (pow.f64 a 3))))
(*.f64 -1/48 (pow.f64 a 3))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
(*.f64 -1/48 (pow.f64 a 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 1)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2))) (-.f64 1 (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2))) 1) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 -1/48 (pow.f64 a 3) (expm1.f64 (log1p.f64 (fma.f64 1/4 a 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/4))) (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) 1/2)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 a))) 1) (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (expm1.f64 (log1p.f64 (*.f64 1/4 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) (-.f64 1 (fma.f64 a 1/4 1/2)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (+.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 1/48 (pow.f64 a 3))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (/.f64 1/4 (fma.f64 a -1/4 1/2))) (/.f64 -1/16 (/.f64 (fma.f64 a -1/4 1/2) (*.f64 a a))))
(-.f64 (/.f64 (pow.f64 a 6) (/.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) 1/2304)) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(-.f64 (.f64 (/.f64 (pow.f64 a 6) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) 1/2304) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 1/4 a 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (fma.f64 -1/48 (pow.f64 a 3) (neg.f64 (fma.f64 1/4 a 1/2))))
(-.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2))) 1) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 -1/48 (pow.f64 a 3) (expm1.f64 (log1p.f64 (fma.f64 1/4 a 1/2))))
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4)))) (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (*.f64 a -1/4))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (+.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 1/48 (pow.f64 a 3))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (/.f64 1/4 (fma.f64 a -1/4 1/2))) (/.f64 -1/16 (/.f64 (fma.f64 a -1/4 1/2) (*.f64 a a))))
(-.f64 (+.f64 (fma.f64 a 1/4 1/2) (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))) 1)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(-.f64 (+.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (exp.f64 (log1p.f64 (*.f64 a 1/4)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 a))) 1) (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (expm1.f64 (log1p.f64 (*.f64 1/4 a))))
(*.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(*.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(*.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(*.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (/.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(-.f64 (.f64 (/.f64 (pow.f64 a 6) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) 1/2304) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 1/4 a 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (fma.f64 -1/48 (pow.f64 a 3) (neg.f64 (fma.f64 1/4 a 1/2))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) 1) (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 1/4 a 1/2) 3)) (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 1/4 a 1/2) 3)) (fma.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)) (.f64 (pow.f64 a 6) 1/2304)))
(.f64 (/.f64 1 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))
(-.f64 (.f64 (/.f64 (pow.f64 a 6) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) 1/2304) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 1/4 a 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (fma.f64 -1/48 (pow.f64 a 3) (neg.f64 (fma.f64 1/4 a 1/2))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (-.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))
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(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 a 6) 3) 1/12230590464) (pow.f64 (fma.f64 1/4 a 1/2) 6)) (.f64 (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)))) (-.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 1/4 a 1/2) 3))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 a 6) 3) 1/12230590464) (pow.f64 (fma.f64 1/4 a 1/2) 6)) (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (neg.f64 (pow.f64 (fma.f64 1/4 a 1/2) 3)))) (fma.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)) (*.f64 (pow.f64 a 6) 1/2304)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) 3) (pow.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (-.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 a 3) 3) 3) -1/1352605460594688) (pow.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) 3)) (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (pow.f64 a 3) 3)) 1/12230590464) (-.f64 (pow.f64 (fma.f64 a 1/4 1/2) 6) (.f64 (pow.f64 (pow.f64 a 3) 3) (*.f64 -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 a 3) 3) 3) -1/1352605460594688 (pow.f64 (pow.f64 (fma.f64 1/4 a 1/2) 3) 3)) (.f64 (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)))) (fma.f64 (pow.f64 (pow.f64 a 6) 3) 1/12230590464 (-.f64 (pow.f64 (fma.f64 1/4 a 1/2) 6) (.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 1/4 a 1/2) 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 a 3) 3) 3) -1/1352605460594688 (pow.f64 (pow.f64 (fma.f64 1/4 a 1/2) 3) 3)) (.f64 (fma.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)) (.f64 (pow.f64 a 6) 1/2304)) (+.f64 (fma.f64 (pow.f64 (pow.f64 a 6) 3) 1/12230590464 (pow.f64 (fma.f64 1/4 a 1/2) 6)) (.f64 (pow.f64 (fma.f64 1/4 a 1/2) 3) (*.f64 (pow.f64 (pow.f64 a 3) 3) 1/110592)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) 1) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))
(-.f64 (.f64 (/.f64 (pow.f64 a 6) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) 1/2304) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 1/4 a 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (fma.f64 -1/48 (pow.f64 a 3) (neg.f64 (fma.f64 1/4 a 1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (sqrt.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))) (sqrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(-.f64 (.f64 (/.f64 (pow.f64 a 6) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) 1/2304) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 1/4 a 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (fma.f64 -1/48 (pow.f64 a 3) (neg.f64 (fma.f64 1/4 a 1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (cbrt.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))) (cbrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(-.f64 (.f64 (/.f64 (pow.f64 a 6) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) 1/2304) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 1/4 a 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (fma.f64 -1/48 (pow.f64 a 3) (neg.f64 (fma.f64 1/4 a 1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (+.f64 (sqrt.f64 (fma.f64 a 1/4 1/2)) (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)))) (-.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (sqrt.f64 (fma.f64 a 1/4 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (.f64 (-.f64 (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (sqrt.f64 (fma.f64 a 1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (sqrt.f64 (fma.f64 a 1/4 1/2)))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 1/4 a 1/2) 2)) (.f64 (fma.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48) (sqrt.f64 (fma.f64 1/4 a 1/2))) (-.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (sqrt.f64 (fma.f64 1/4 a 1/2)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) 1) (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) 1) (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 1/4 a 1/2) 3)) (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 1/4 a 1/2) 3)) (fma.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)) (.f64 (pow.f64 a 6) 1/2304)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) 1) (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 1/4 a 1/2) 3)) (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 1/4 a 1/2) 3)) (fma.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)) (.f64 (pow.f64 a 6) 1/2304)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) 1) (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 1/4 a 1/2) 3)) (fma.f64 (pow.f64 a 6) 1/2304 (.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592 (pow.f64 (fma.f64 1/4 a 1/2) 3)) (fma.f64 (fma.f64 1/4 a 1/2) (+.f64 (fma.f64 1/4 a 1/2) (.f64 (pow.f64 a 3) 1/48)) (.f64 (pow.f64 a 6) 1/2304)))
(pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(pow.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 3)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(pow.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3) 1/3)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(sqrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 2))
(fabs.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)))
(log.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(expm1.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(exp.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(log1p.f64 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 1 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 1 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 (sqrt.f64 (fma.f64 a 1/4 1/2)) (sqrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (fma.f64 a 1/4 1/2))
(+.f64 (pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2) (fma.f64 a 1/4 1/2))
(+.f64 (pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2) (fma.f64 1/4 a 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) 2) (cbrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 (pow.f64 (.f64 a (cbrt.f64 -1/48)) 2) (.f64 a (cbrt.f64 -1/48)) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))

eval397.0ms (5.2%)

Compiler: Compiled 13332 to 9033 computations (32.2% saved)

prune122.0ms (1.6%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	481	6	487
Fresh	0	4	4
Picked	0	1	1
Done	1	5	6
Total	482	16	498

Error

Counts

498 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	21.5b	(/.f64 (exp.f64 a) 2)
▶	34.5b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
✓	40.7b	(/.f64 1 (+.f64 b 2))
	20.4b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	14.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	61.9b	(/.f64 1 b)
▶	20.4b	(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
	62.7b	(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
✓	39.3b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
▶	24.4b	(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
	39.1b	(+.f64 1/2 (*.f64 1/4 a))
✓	40.8b	(+.f64 1/2 (*.f64 -1/4 b))
▶	54.3b	(*.f64 -1/48 (pow.f64 a 3))
✓	31.3b	(exp.f64 a)
	39.5b	1/2

Compiler

Compiled 209 to 174 computations (16.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
✓	0.0b	(+.f64 -1 (/.f64 -1 (exp.f64 a)))
✓	0.0b	(/.f64 -1 (exp.f64 a))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
0.0ms	a	@	-inf	(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
0.0ms	a	@	-inf	(+.f64 -1 (/.f64 -1 (exp.f64 a)))
0.0ms	a	@	inf	(+.f64 -1 (/.f64 -1 (exp.f64 a)))
0.0ms	a	@	inf	(/.f64 -1 (exp.f64 a))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1944×	`add-sqr-sqrt`
1930×	`*-un-lft-identity`
1790×	`add-cube-cbrt`
1772×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	194	49
2	2464	49

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(/.f64 -1 (exp.f64 a))
(+.f64 -1 (/.f64 -1 (exp.f64 a)))
(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))

Outputs

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

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

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

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

718×	`unswap-sqr`
698×	`+-commutative`
658×	`fma-def`
646×	`associate--r+`
628×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2484
1	451	2310
2	1472	2194
3	6376	2194

Stop Event

1×	node limit

Counts

110 → 132

Calls

Call 1

Inputs
-1
(-.f64 a 1)
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 1)
(-.f64 (+.f64 a (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 1/6 (pow.f64 a 3)))) 1)
-2
(-.f64 a 2)
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 2)
(-.f64 (+.f64 a (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 1/6 (pow.f64 a 3)))) 2)
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (exp.f64 a)))) 1)
(*.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 (/.f64 -1 (exp.f64 a)) 1)
(*.f64 1 (/.f64 -1 (exp.f64 a)))
(*.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))))
(*.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a))))
(*.f64 (exp.f64 (neg.f64 a)) -1)
(pow.f64 (/.f64 -1 (exp.f64 a)) 1)
(pow.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 2)
(pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 3)
(pow.f64 (*.f64 (exp.f64 a) -1) -1)
(pow.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)) 1/3)
(pow.f64 (neg.f64 (exp.f64 a)) -1)
(neg.f64 (exp.f64 (neg.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2))
(log.f64 (exp.f64 (/.f64 -1 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (exp.f64 a)))))
(cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 -1) a))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) a) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1)
(-.f64 (/.f64 1 (+.f64 -1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (+.f64 -1 (exp.f64 (neg.f64 a)))))
(*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1)
(*.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)) (/.f64 1 (+.f64 -1 (exp.f64 (neg.f64 a)))))
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a))))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1) (-.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1))
(/.f64 1 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 a))) (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a)))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)) (+.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a)))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (-.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2))) (neg.f64 (+.f64 -1 (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) 1) (-.f64 (/.f64 -1 (exp.f64 a)) -1))
(pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(fma.f64 -1 (exp.f64 (neg.f64 a)) -1)
(fma.f64 1 (/.f64 -1 (exp.f64 a)) -1)
(fma.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))) 1)
(*.f64 -1 (/.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))))
(*.f64 (/.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a)))) -1)
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2))) (+.f64 -1 (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a)))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 1) -1)
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) -1)
(neg.f64 (/.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))))

Outputs
-1
(-.f64 a 1)
(+.f64 a -1)
(+.f64 -1 a)
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 1)
(+.f64 a (-.f64 (.f64 -1/2 (.f64 a a)) 1))
(+.f64 -1 (fma.f64 -1/2 (*.f64 a a) a))
(+.f64 -1 (fma.f64 a (*.f64 a -1/2) a))
(-.f64 (+.f64 a (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 1/6 (pow.f64 a 3)))) 1)
(+.f64 a (-.f64 (fma.f64 -1/2 (.f64 a a) (.f64 1/6 (pow.f64 a 3))) 1))
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (.f64 (.f64 -1/2 a) a)) -1))
(+.f64 (fma.f64 a (*.f64 a -1/2) a) (fma.f64 1/6 (pow.f64 a 3) -1))
-2
(-.f64 a 2)
(+.f64 a -2)
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 2)
(+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2)
(+.f64 (fma.f64 -1/2 (*.f64 a a) a) -2)
(+.f64 a (fma.f64 a (*.f64 a -1/2) -2))
(-.f64 (+.f64 a (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 1/6 (pow.f64 a 3)))) 2)
(+.f64 (+.f64 a (fma.f64 -1/2 (.f64 a a) (.f64 1/6 (pow.f64 a 3)))) -2)
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (.f64 (.f64 -1/2 a) a)) -2))
(+.f64 (fma.f64 a (*.f64 a -1/2) -2) (fma.f64 1/6 (pow.f64 a 3) a))
(+.f64 a (fma.f64 1/6 (pow.f64 a 3) (fma.f64 a (*.f64 a -1/2) -2)))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(fma.f64 a 1/4 1/2)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4)))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2))
(fma.f64 a 1/4 (fma.f64 (pow.f64 a 3) -1/48 1/2))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4))))
(+.f64 (fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (exp.f64 a)))) 1)
(/.f64 -1 (exp.f64 a))
(*.f64 -1 (exp.f64 (neg.f64 a)))
(/.f64 -1 (exp.f64 a))
(*.f64 (/.f64 -1 (exp.f64 a)) 1)
(/.f64 -1 (exp.f64 a))
(*.f64 1 (/.f64 -1 (exp.f64 a)))
(/.f64 -1 (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))))
(/.f64 -1 (exp.f64 a))
(*.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2))
(/.f64 -1 (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a))))
(/.f64 -1 (exp.f64 a))
(*.f64 (exp.f64 (neg.f64 a)) -1)
(/.f64 -1 (exp.f64 a))
(pow.f64 (/.f64 -1 (exp.f64 a)) 1)
(/.f64 -1 (exp.f64 a))
(pow.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 2)
(/.f64 -1 (exp.f64 a))
(pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 3)
(/.f64 -1 (exp.f64 a))
(pow.f64 (*.f64 (exp.f64 a) -1) -1)
(/.f64 -1 (exp.f64 a))
(pow.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)) 1/3)
(cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))
(pow.f64 (neg.f64 (exp.f64 a)) -1)
(/.f64 -1 (exp.f64 a))
(neg.f64 (exp.f64 (neg.f64 a)))
(/.f64 -1 (exp.f64 a))
(sqrt.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2))
(/.f64 -1 (exp.f64 a))
(log.f64 (exp.f64 (/.f64 -1 (exp.f64 a))))
(/.f64 -1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (exp.f64 a)))))
(/.f64 -1 (exp.f64 a))
(cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1 (exp.f64 a))))
(/.f64 -1 (exp.f64 a))
(exp.f64 (-.f64 (log.f64 -1) a))
(/.f64 -1 (exp.f64 a))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) a) 1))
(/.f64 -1 (exp.f64 a))
(log1p.f64 (expm1.f64 (/.f64 -1 (exp.f64 a))))
(/.f64 -1 (exp.f64 a))
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(-.f64 (/.f64 1 (+.f64 -1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (+.f64 -1 (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)) (+.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (exp.f64 a)) -2)) (expm1.f64 (neg.f64 a)))
(*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)) (/.f64 1 (+.f64 -1 (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)) (+.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (exp.f64 a)) -2)) (expm1.f64 (neg.f64 a)))
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a))))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (-.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (neg.f64 (exp.f64 a)) -2) (expm1.f64 (neg.f64 a))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1) (-.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(/.f64 1 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 a))) (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)) (+.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (exp.f64 a)) -2)) (expm1.f64 (neg.f64 a)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a)))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))))
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a))))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (-.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (neg.f64 (exp.f64 a)) -2) (expm1.f64 (neg.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)) (+.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (exp.f64 a)) -2)) (expm1.f64 (neg.f64 a)))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a)))))
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a))))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (-.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (neg.f64 (exp.f64 a)) -2) (expm1.f64 (neg.f64 a))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (-.f64 1 (exp.f64 (neg.f64 a)))))
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a))))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (neg.f64 (exp.f64 a)) -2) (expm1.f64 (neg.f64 a))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2))) (neg.f64 (+.f64 -1 (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)) (+.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (exp.f64 a)) -2)) (expm1.f64 (neg.f64 a)))
(/.f64 (neg.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a))))))
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a))))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (-.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (neg.f64 (exp.f64 a)) -2) (expm1.f64 (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) 1) (-.f64 (/.f64 -1 (exp.f64 a)) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)) (+.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (exp.f64 a)) -2)) (expm1.f64 (neg.f64 a)))
(pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3) 1/3)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 2))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(fma.f64 -1 (exp.f64 (neg.f64 a)) -1)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(fma.f64 1 (/.f64 -1 (exp.f64 a)) -1)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))) -1)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a))) -1)
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a))))
(-.f64 -1 (exp.f64 (neg.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))) 1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(*.f64 -1 (/.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 2)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 2))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a)))) -1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2))) (+.f64 -1 (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (neg.f64 a))) (-.f64 1 (pow.f64 (/.f64 -1 (exp.f64 a)) 2)))
(/.f64 (expm1.f64 (neg.f64 a)) (+.f64 -1 (pow.f64 (neg.f64 (exp.f64 a)) -2)))
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a))))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (-.f64 -1 (-.f64 (pow.f64 (/.f64 -1 (exp.f64 a)) 2) (exp.f64 (neg.f64 a)))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (-.f64 (expm1.f64 (neg.f64 a)) (pow.f64 (neg.f64 (exp.f64 a)) -2)) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 3)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(pow.f64 (/.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 1) -1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(neg.f64 (/.f64 -1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 2))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) 3))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 a))))) 1))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (-.f64 -1 (exp.f64 (neg.f64 a))))

localize3.0ms (0%)

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 b 2))
✓	0.0b	(-.f64 (/.f64 1 (+.f64 b 2)) 1)
✓	2.5b	(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`associate-*r/`
1074×	`associate-*l/`
750×	`*-commutative`
638×	`distribute-lft-in`
588×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	210	32
2	2875	32

Stop Event

1×	node limit

Counts

2 → 236

Calls

Call 1

Inputs
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (/.f64 1 (+.f64 b 2)) 1)

Outputs

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(2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)) (-.f64 1 (*.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)) (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2))))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)) (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2))) (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 8 (pow.f64 b 3)))) (cbrt.f64 (fma.f64 b b (-.f64 4 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 b 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) -1)))))

simplify231.0ms (3%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-+l-`
702×	`distribute-lft-in`
628×	`distribute-rgt-in`
606×	`associate-+r-`
528×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	643	13790
1	1811	13292
2	6945	13292

Stop Event

1×	node limit

Counts

260 → 412

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 -1/4 b)))
(+.f64 (.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
-1/2
(-.f64 (*.f64 -1/4 b) 1/2)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 -1/4 b)) 1/2)
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 b 3)) (+.f64 (.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) 1/2)
-1
(-.f64 (/.f64 1 b) 1)
(-.f64 (/.f64 1 b) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) 1))
(-.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) 1))
-1
(-.f64 (/.f64 1 b) 1)
(-.f64 (/.f64 1 b) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) 1))
(-.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) 1))
(-.f64 (/.f64 1 (+.f64 b 2)) 0)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(-.f64 (/.f64 1 (-.f64 2 (/.f64 1 (+.f64 b 2)))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2) (-.f64 2 (/.f64 1 (+.f64 b 2)))))
(-.f64 (/.f64 1 (-.f64 2 (/.f64 1 (+.f64 b 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2) (-.f64 2 (/.f64 1 (+.f64 b 2)))) 0))
(-.f64 (/.f64 1 (-.f64 2 (/.f64 1 (+.f64 b 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2) (-.f64 2 (/.f64 1 (+.f64 b 2)))) 0))
(-.f64 (/.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (/.f64 1 (+.f64 b 2)))) (-.f64 (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))) (-.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (/.f64 1 (+.f64 b 2))))) (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2)) (/.f64 1 (-.f64 2 (/.f64 1 (+.f64 b 2)))))
(*.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4)))
(*.f64 -1 (/.f64 -1 (+.f64 b 2)))
(.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)))))
(.f64 (fma.f64 b b (-.f64 4 (.f64 b 2))) (/.f64 1 (+.f64 8 (pow.f64 b 3))))
(*.f64 (/.f64 -1 (+.f64 b 2)) -1)
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (.f64 b 2))))
(*.f64 (/.f64 1 (-.f64 2 (/.f64 1 (+.f64 b 2)))) (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2)))
(.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2))) (/.f64 1 (+.f64 b 2)))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 b b -4))) (neg.f64 (+.f64 b -2)))
(.f64 (/.f64 1 (neg.f64 (+.f64 8 (pow.f64 b 3)))) (neg.f64 (fma.f64 b b (-.f64 4 (.f64 b 2)))))
(.f64 (/.f64 1 (-.f64 4 (.f64 b b))) (-.f64 2 b))
(.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 b 3)))) (sqrt.f64 (fma.f64 b b (-.f64 4 (.f64 b 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (fma.f64 b b -4))) (sqrt.f64 (+.f64 b -2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3))) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 b b -4))) (+.f64 b -2))
(.f64 (/.f64 -1 (neg.f64 (+.f64 8 (pow.f64 b 3)))) (fma.f64 b b (-.f64 4 (.f64 b 2))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)) (-.f64 1 (.f64 (.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)) (.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2))))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)) (+.f64 1 (pow.f64 (.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)) (.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2))) (.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 8 (pow.f64 b 3)))) (cbrt.f64 (fma.f64 b b (-.f64 4 (.f64 b 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (fma.f64 b b -4))) (cbrt.f64 (+.f64 b -2)))
(.f64 (/.f64 (fma.f64 b b (-.f64 4 (.f64 b 2))) (-.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) 64)) (-.f64 (pow.f64 b 3) 8))
(.f64 (/.f64 (fma.f64 b b (-.f64 4 (.f64 b 2))) (+.f64 512 (pow.f64 (pow.f64 b 3) 3))) (+.f64 (.f64 (pow.f64 b 3) (pow.f64 b 3)) (-.f64 64 (.f64 8 (pow.f64 b 3)))))
(.f64 (/.f64 (+.f64 b -2) (-.f64 (.f64 (.f64 b b) (.f64 b b)) 16)) (+.f64 4 (*.f64 b b)))
(.f64 (/.f64 (+.f64 b -2) (-.f64 (pow.f64 (.f64 b b) 3) 64)) (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) 16) (.f64 4 (*.f64 b b))))
(/.f64 1 (+.f64 b 2))
(/.f64 1 (neg.f64 (-.f64 -2 b)))
(/.f64 (/.f64 1 (+.f64 b 2)) 1)
(/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 b 2)))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (pow.f64 (cbrt.f64 (+.f64 b 2)) 2))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (/.f64 (sqrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2)) (-.f64 2 (/.f64 1 (+.f64 b 2))))
(/.f64 (fma.f64 b b -4) (*.f64 (+.f64 b 2) (fma.f64 b b -4)))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(/.f64 -1 (-.f64 -2 b))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2))))
(/.f64 (fma.f64 b b (-.f64 4 (*.f64 b 2))) (+.f64 8 (pow.f64 b 3)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3))) (.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2))) (/.f64 (-.f64 2 (/.f64 1 (+.f64 b 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2))) (*.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (-.f64 2 (/.f64 1 (+.f64 b 2))))))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 b 2) -1/2)) (/.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (pow.f64 (+.f64 b 2) -1/2))))
(/.f64 (sqrt.f64 (fma.f64 b b (-.f64 4 (.f64 b 2)))) (/.f64 (+.f64 8 (pow.f64 b 3)) (sqrt.f64 (fma.f64 b b (-.f64 4 (.f64 b 2))))))
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(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))) (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 (pow.f64 (+.f64 b 2) -2) -1)) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (-.f64 1 (/.f64 1 (+.f64 b 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 1 (+.f64 b 2)))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)) (-.f64 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2)) (.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 1 (/.f64 1 (+.f64 b 2)))))) (-.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))) (+.f64 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2)) (-.f64 (.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 1 (/.f64 1 (+.f64 b 2)))) (+.f64 (pow.f64 (+.f64 b 2) -2) (pow.f64 (+.f64 b 2) -3)))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 -1 (+.f64 b 2)))) (+.f64 -1 (pow.f64 (+.f64 b 2) -3))))
(/.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3))) (/.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3))) (/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 -1 (+.f64 b 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1)) (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))) (/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 -1 (+.f64 b 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1))) (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3)) 1) (.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))) (+.f64 1 (pow.f64 (+.f64 b 2) -3))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3)) 1) (.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 -1 (+.f64 b 2)))) (+.f64 1 (pow.f64 (+.f64 b 2) -3))))
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2)) 1) (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3) 1) (.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (pow.f64 (+.f64 b 2) -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3) 1) (.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 -1 (+.f64 b 2)))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (pow.f64 (+.f64 b 2) -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3) 1) (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1))) (neg.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1))) (sqrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1))) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1)) 1) (neg.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3))) 1) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1)) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) (sqrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2)) 1) (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2))))) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3) 1) (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2))))) (+.f64 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3)) 1) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))) (+.f64 1 (pow.f64 (+.f64 b 2) -3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3) 1) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (pow.f64 (+.f64 b 2) -3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) 1) (+.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (sqrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))) (sqrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)) 1) (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)))))
(pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3))
(expm1.f64 (neg.f64 (log.f64 (+.f64 b 2))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(fma.f64 1 (/.f64 1 (+.f64 b 2)) -1)
(fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) -1)

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 b b))
✓	0.0b	(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
✓	0.4b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	inf	(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
0.0ms	b	@	inf	(.f64 1/2 (.f64 b b))
0.0ms	b	@	0	(.f64 1/2 (.f64 b b))
0.0ms	b	@	0	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))

rewrite116.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1202×	`associate-*r/`
1032×	`*-commutative`
964×	`associate-*l/`
836×	`distribute-lft-in`
390×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	244	61
2	3195	61

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(.f64 1/2 (.f64 b b))

Outputs

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

simplify173.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1266×	`associate-+r+`
1116×	`+-commutative`
790×	`associate-r`
592×	`*-commutative`
586×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	569	15430
1	1651	13936
2	7412	13936

Stop Event

1×	node limit

Counts

250 → 367

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 -1/32 (pow.f64 b 4)) (+.f64 (.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(/.f64 2 (pow.f64 b 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(/.f64 2 (pow.f64 b 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
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(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 b 2) 3) 3) (pow.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (-.f64 (.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) (.f64 (pow.f64 (.f64 b b) 3) 1/8)) (.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))))
(/.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2)) (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))) (+.f64 b (-.f64 2 (.f64 b (*.f64 b 1/2)))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) -1)) (pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 1) (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))))) (sqrt.f64 (+.f64 b (-.f64 2 (.f64 b (*.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (cbrt.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))) (cbrt.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))))) (cbrt.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)) (+.f64 (.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 b 2)))) (-.f64 (sqrt.f64 (+.f64 b 2)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(fma.f64 1 b (+.f64 2 (.f64 b (.f64 b 1/2))))
(fma.f64 1 (+.f64 b 2) (.f64 b (.f64 b 1/2)))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 b 2))
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2))
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 b 2))
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 2 (.f64 b (.f64 b 1/2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 b (*.f64 b 1/2))) (+.f64 b 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 2 (.f64 b (.f64 b 1/2))))
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/16 (pow.f64 b 3)))
(+.f64 1/2 (+.f64 (.f64 -1/32 (pow.f64 b 4)) (+.f64 (.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(+.f64 (fma.f64 -1/4 b 1/2) (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b (.f64 b 1/2))) 1 (.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 b (.f64 b -1/2)) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b b)) 1/2 (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 b (.f64 b -1/2)) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 -1/2 (.f64 b b) (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 b (.f64 b -1/2)) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b (sqrt.f64 1/2))) (.f64 b (sqrt.f64 1/2)) (.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 (neg.f64 (pow.f64 (.f64 b (sqrt.f64 1/2)) 2)) (.f64 1/2 (.f64 b b)))))
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(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -1/48 (pow.f64 a 3))

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval500.0ms (6.5%)

Compiler: Compiled 24071 to 19126 computations (20.5% saved)

prune210.0ms (2.7%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	982	4	986
Fresh	2	3	5
Picked	1	0	1
Done	4	6	10
Total	989	13	1002

Error

Counts

1002 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	21.5b	(/.f64 (exp.f64 a) 2)
	20.4b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	14.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	38.8b	(/.f64 -1 (-.f64 a 2))
	29.5b	(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
✓	20.4b	(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
✓	39.3b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	31.7b	(+.f64 1 -1)
	39.1b	(+.f64 1/2 (*.f64 a 1/4))
✓	40.8b	(+.f64 1/2 (*.f64 -1/4 b))
✓	31.3b	(exp.f64 a)
	39.5b	1/2

Compiler

Compiled 101 to 85 computations (15.8% saved)

regimes95.0ms (1.2%)

Counts

25 → 1

Calls

Call 1

Inputs
1/2
(+.f64 1 -1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 -1 (-.f64 a 2))
(/.f64 1 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(exp.f64 a)
(/.f64 (exp.f64 a) 2)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Calls

5 calls:

64.0ms	b
15.0ms	a
4.0ms	(exp.f64 b)
3.0ms	(exp.f64 a)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.0b	1	`(exp.f64 a)`
0.0b	1	`(exp.f64 b)`

Compiler

Compiled 202 to 133 computations (34.2% saved)

regimes70.0ms (0.9%)

Counts

21 → 1

Calls

Call 1

Inputs
1/2
(+.f64 1 -1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 -1 (-.f64 a 2))
(/.f64 1 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(exp.f64 a)
(/.f64 (exp.f64 a) 2)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

Outputs
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))

Calls

4 calls:

49.0ms	b
11.0ms	a
3.0ms	(exp.f64 b)
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(exp.f64 a)`
0.0b	1	`(exp.f64 b)`

Compiler

Compiled 146 to 109 computations (25.3% saved)

regimes60.0ms (0.8%)

Counts

18 → 3

Calls

Call 1

Inputs
1/2
(+.f64 1 -1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 -1 (-.f64 a 2))
(/.f64 1 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(exp.f64 a)
(/.f64 (exp.f64 a) 2)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))

Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 b)))

Calls

4 calls:

27.0ms	b
18.0ms	a
7.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.8b	2	`a`
0.1b	3	`b`
0.8b	2	`(exp.f64 a)`
0.1b	3	`(exp.f64 b)`

Compiler

Compiled 120 to 91 computations (24.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000002707
0.0ms	0.0	0.9995222209127107

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes92.0ms (1.2%)

Counts

17 → 3

Calls

Call 1

Inputs
1/2
(+.f64 1 -1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 -1 (-.f64 a 2))
(/.f64 1 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(exp.f64 a)
(/.f64 (exp.f64 a) 2)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))

Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 b)))

Calls

4 calls:

60.0ms	b
18.0ms	a
6.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.8b	2	`a`
0.1b	3	`b`
0.8b	2	`(exp.f64 a)`
0.1b	3	`(exp.f64 b)`

Compiler

Compiled 112 to 85 computations (24.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000002707
0.0ms	0.0	0.9995222209127107

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes85.0ms (1.1%)

Counts

16 → 2

Calls

Call 1

Inputs
1/2
(+.f64 1 -1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 -1 (-.f64 a 2))
(/.f64 1 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(exp.f64 a)
(/.f64 (exp.f64 a) 2)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))

Outputs
(+.f64 1 -1)
(/.f64 1 (+.f64 1 (exp.f64 b)))

Calls

4 calls:

34.0ms	(exp.f64 b)
26.0ms	b
18.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.2b	2	`a`
1.3b	3	`b`
1.2b	2	`(exp.f64 a)`
1.3b	3	`(exp.f64 b)`

Compiler

Compiled 105 to 79 computations (24.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.4873546085647312e-8

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes64.0ms (0.8%)

Counts

15 → 3

Calls

Call 1

Inputs
1/2
(+.f64 1 -1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 -1 (-.f64 a 2))
(/.f64 1 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(exp.f64 a)
(/.f64 (exp.f64 a) 2)
(*.f64 -1/48 (pow.f64 a 3))

Outputs
(exp.f64 a)
(/.f64 (exp.f64 a) 2)
(+.f64 1 -1)

Calls

3 calls:

31.0ms	a
26.0ms	b
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
10.3b	4	`a`
1.6b	3	`b`
11.6b	2	`(exp.f64 a)`

Compiler

Compiled 95 to 71 computations (25.3% saved)

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	2.7065478408744003e-13	14120.17074372485
21.0ms	-51024943764.6662	-0.00047789326008506786

Results

34.0ms

320×

body

256

valid

Compiler

Compiled 265 to 230 computations (13.2% saved)

regimes106.0ms (1.4%)

Counts

13 → 3

Calls

Call 1

Inputs
1/2
(+.f64 1 -1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 -1 (-.f64 a 2))
(/.f64 1 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(exp.f64 a)

Outputs
(exp.f64 a)
(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
(+.f64 1 -1)

Calls

3 calls:

77.0ms	a
22.0ms	b
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
10.3b	4	`a`
6.4b	3	`b`
11.6b	2	`(exp.f64 a)`

Compiler

Compiled 86 to 65 computations (24.4% saved)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.7065478408744003e-13	14120.17074372485
15.0ms	-7.481735133007481e-6	-1.2695066282767482e-8

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 367 to 300 computations (18.3% saved)

regimes46.0ms (0.6%)

Counts

12 → 2

Calls

Call 1

Inputs
1/2
(+.f64 1 -1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 -1 (-.f64 a 2))
(/.f64 1 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))

Outputs
(+.f64 1 -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))

Calls

2 calls:

29.0ms	a
14.0ms	b

Results

Error	Segments	Branch
11.6b	2	`a`
14.3b	2	`b`

Compiler

Compiled 80 to 61 computations (23.8% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-15744.714443453617	-18.02368163243315

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 159 to 146 computations (8.2% saved)

regimes27.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

Inputs
1/2
(+.f64 1 -1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 -1 (-.f64 a 2))
(/.f64 1 (+.f64 b 2))

Outputs
(+.f64 1 -1)
(+.f64 1/2 (*.f64 1/4 a))

Calls

2 calls:

15.0ms	a
11.0ms	b

Results

Error	Segments	Branch
20.7b	2	`a`
21.4b	2	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	-0.0002079993274018647	-7.81473611855143e-5

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 85 to 75 computations (11.8% saved)

regimes21.0ms (0.3%)

Accuracy

Total -41.4b remaining (-195%)

Threshold costs -41.4b (-195%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(+.f64 1 -1)
1/2

Calls

2 calls:

11.0ms	a
9.0ms	b

Results

Error	Segments	Branch
21.2b	2	`a`
22.1b	2	`b`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	-0.0002079993274018647	-7.81473611855143e-5

Results

7.0ms

80×

body

256

valid

Compiler

Compiled 65 to 60 computations (7.7% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
10×	`sub-neg`
8×	`*-commutative`
4×	`neg-mul-1`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	383
1	100	383
2	107	383
3	110	383
4	111	383

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (+.f64 1 -1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -2476979795053773/2251799813685248) (exp.f64 a) (if (<=.f64 b 350) (/.f64 (exp.f64 a) 2) (+.f64 1 -1)))
(if (<=.f64 b -6375194751874021/2361183241434822606848) (exp.f64 a) (if (<=.f64 b 2176715800697727/36893488147419103232) (/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2)) (+.f64 1 -1)))
(if (<=.f64 a -100) (+.f64 1 -1) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))
(if (<=.f64 a -1890791267555229/9223372036854775808) (+.f64 1 -1) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -48999163945791/576460752303423488) (+.f64 1 -1) 1/2)
1/2

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 0) (not (<=.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 0) (not (<=.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(if (<=.f64 (exp.f64 a) 0) (+.f64 1 -1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) 0 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -2476979795053773/2251799813685248) (exp.f64 a) (if (<=.f64 b 350) (/.f64 (exp.f64 a) 2) (+.f64 1 -1)))
(if (<=.f64 b -2476979795053773/2251799813685248) (exp.f64 a) (if (<=.f64 b 350) (/.f64 (exp.f64 a) 2) 0))
(if (<=.f64 b -6375194751874021/2361183241434822606848) (exp.f64 a) (if (<=.f64 b 2176715800697727/36893488147419103232) (/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2)) (+.f64 1 -1)))
(if (<=.f64 b -6375194751874021/2361183241434822606848) (exp.f64 a) (if (<=.f64 b 2176715800697727/36893488147419103232) (/.f64 -1 (+.f64 (+.f64 a (.f64 -1/2 (.f64 a a))) -2)) 0))
(if (<=.f64 a -100) (+.f64 1 -1) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))
(if (<=.f64 a -100) 0 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(if (<=.f64 a -100) 0 (+.f64 1 (+.f64 -1 (/.f64 1 (+.f64 b 2)))))
(if (<=.f64 a -1890791267555229/9223372036854775808) (+.f64 1 -1) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -1890791267555229/9223372036854775808) 0 (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 a -48999163945791/576460752303423488) (+.f64 1 -1) 1/2)
(if (<=.f64 a -48999163945791/576460752303423488) 0 1/2)
1/2

Compiler

Compiled 167 to 131 computations (21.6% saved)

soundness0.0ms (0%)

end97.0ms (1.3%)

Compiler: Compiled 147 to 104 computations (29.3% saved)