Details

analyze19.0ms (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)

sample918.0ms (12.5%)

Results

888.0ms	8256×	body	256	valid
16.0ms	187×	body	256	unsamplable

Bogosity

preprocess6.0ms (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)

simplify11.0ms (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)

prune3.0ms (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

0.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.5b	(/.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)))

rewrite86.0ms (1.2%)

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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simplify214.0ms (2.9%)

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 (-.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 (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 (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))

eval89.0ms (1.2%)

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

prune45.0ms (0.6%)

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

0.2b

Counts

267 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(/.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
▶	20.7b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	12.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	0.5b	(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	0.3b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 106 to 76 computations (28.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	2.9b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series101.0ms (1.4%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
38.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	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)))))

rewrite118.0ms (1.6%)

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

Outputs
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Outputs

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simplify183.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-/l*`
972×	`associate-r`
860×	`associate-l`
756×	`*-commutative`
630×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	827	23321
1	2286	23113

Stop Event

1×	node limit

Counts

331 → 496

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

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)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite59.0ms (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)))))

simplify63.0ms (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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 a))
✓	0.5b	(/.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
0.0ms	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)))))

simplify65.0ms (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)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	0.1b	(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 40 to 8 computations (80% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
1.0ms	b	@	0	(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0ms	a	@	0	(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms	b	@	0	(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms	a	@	inf	(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite154.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`*-commutative`
964×	`associate-*r/`
794×	`associate-/r*`
684×	`associate-*l/`
614×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	224	54
2	2758	54

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

Inputs
(expm1.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

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

simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-+r+`
1024×	`+-commutative`
774×	`associate-/l*`
616×	`associate-r`
566×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	13444
1	1571	12890
2	6720	12890

Stop Event

1×	node limit

Counts

240 → 319

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(-.f64 (+.f64 (.f64 a (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 a 2) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 a 2) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 a (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3)) (.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)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (*.f64 (pow.f64 a 3) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (+.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)))))) (+.f64 (/.f64 (.f64 (exp.f64 a) (+.f64 (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 6))))) (.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))))))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
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(/.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 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.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)))))
(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 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.2b	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	0.4b	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
✓	0.5b	(/.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))

Compiler

Compiled 39 to 12 computations (69.2% saved)

series5.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
1.0ms	b	@	0	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
0.0ms	a	@	inf	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
0.0ms	b	@	inf	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
0.0ms	b	@	-inf	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)

rewrite93.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`*-commutative`
976×	`associate-*r/`
920×	`associate-/r*`
718×	`associate-*l/`
698×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	253	59
2	2977	59

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs

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

simplify234.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1096×	`+-commutative`
866×	`associate-+r+`
808×	`associate-r`
642×	`associate-l`
632×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	614	13295
1	1713	12585
2	7290	12585

Stop Event

1×	node limit

Counts

271 → 357

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

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

eval658.0ms (8.9%)

Compiler: Compiled 52201 to 22139 computations (57.6% saved)

prune894.0ms (12.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1931	9	1940
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	1934	11	1945

Error

0.2b

Counts

1945 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.4b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
✓	20.7b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	30.6b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	39.6b	(/.f64 1 (+.f64 b 2))
✓	12.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	38.7b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	40.6b	(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
	38.6b	(+.f64 1/2 (*.f64 1/4 a))
▶	39.9b	(+.f64 1/2 (*.f64 -1/4 b))
▶	32.7b	(exp.f64 a)
	38.7b	1/2

Compiler

Compiled 168 to 140 computations (16.7% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 b))
✓	0.5b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)

Compiler

Compiled 26 to 18 computations (30.8% saved)

series29.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
15.0ms	b	@	inf	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
13.0ms	b	@	-inf	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
1.0ms	b	@	0	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1922×	`*-un-lft-identity`
1802×	`add-cube-cbrt`
1788×	`add-cbrt-cube`
208×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	230	17
2	2580	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1472×	`associate-/r/`
982×	`fma-def`
814×	`*-commutative`
656×	`associate-/l*`
532×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	862
1	187	774
2	543	750
3	1757	744
4	5671	744

Stop Event

1×	node limit

Counts

34 → 40

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.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))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.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 (*.f64 -1 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (.f64 (.f64 -1 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))

Outputs
1/2
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(fma.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1/24) (pow.f64 b 3) (+.f64 1/2 (fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) (.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 0) (*.f64 b b)))))
(+.f64 (fma.f64 (.f64 b b) 0 (.f64 b -1/4)) (fma.f64 1/48 (pow.f64 b 3) 1/2))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 b -1/4 1/2))
(fma.f64 b -1/4 (fma.f64 1/48 (pow.f64 b 3) 1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2)
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (*.f64 -1 (log1p.f64 (exp.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 (.f64 -1 (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 1 (exp.f64 b)))

localize6.0ms (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
0.0ms	b	@	inf	(/.f64 1 (+.f64 b 2))
0.0ms	b	@	0	(/.f64 1 (+.f64 b 2))
0.0ms	b	@	-inf	(/.f64 1 (+.f64 b 2))

rewrite52.0ms (0.7%)

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))))))))

simplify54.0ms (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)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
1144×	`add-cube-cbrt`
1136×	`add-cbrt-cube`
1120×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1597	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 3) 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 (pow.f64 a 3)) -1/48))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 3))))) (#(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))))))))

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1088×	`distribute-rgt-out`
1084×	`distribute-rgt-in`
1068×	`distribute-lft-in`
892×	`log-prod`
638×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	99	209
2	322	143
3	1696	143
4	6830	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(cbrt.f64 (pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 3))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (log.f64 (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))

eval47.0ms (0.6%)

Compiler: Compiled 2182 to 1660 computations (23.9% saved)

prune34.0ms (0.5%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	170	5	175
Fresh	0	4	4
Picked	0	1	1
Done	1	5	6
Total	171	15	186

Error

0.2b

Counts

186 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.1b	(pow.f64 (pow.f64 2 -1/2) 2)
✓	20.7b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	30.6b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
✓	39.6b	(/.f64 1 (+.f64 b 2))
✓	12.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	61.7b	(/.f64 1 b)
	62.5b	(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
▶	21.8b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
✓	38.7b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
▶	21.8b	(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
	40.6b	(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
	38.6b	(+.f64 1/2 (*.f64 1/4 a))
✓	39.9b	(+.f64 1/2 (*.f64 -1/4 b))
✓	32.7b	(exp.f64 a)
	38.7b	1/2

Compiler

Compiled 207 to 174 computations (15.9% 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 1 (/.f64 1 (+.f64 b 2)))
✓	2.2b	(-.f64 (+.f64 1 (/.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 1 (+.f64 b 2)))
0.0ms	b	@	0	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
0.0ms	b	@	inf	(+.f64 1 (/.f64 1 (+.f64 b 2)))
0.0ms	b	@	inf	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
0.0ms	b	@	-inf	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`associate-*l/`
766×	`*-commutative`
688×	`distribute-lft-in`
650×	`distribute-rgt-in`
492×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	210	32
2	2897	32

Stop Event

1×	node limit

Counts

2 → 222

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 b b -4)) b) (*.f64 (/.f64 1 (fma.f64 b b -4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1 (fma.f64 b b -4))) (*.f64 -2 (/.f64 1 (fma.f64 b b -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))))) (#(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 (/.f64 1 (cbrt.f64 (+.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)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (/.f64 1 (+.f64 8 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.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 (/.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))) (+.f64 4 (*.f64 b (+.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))))) (#(struct:change #<rule 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2) -1) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (fma.f64 b b -4))) (+.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -8 (neg.f64 (pow.f64 b 3)))) (+.f64 4 (*.f64 b (+.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (*.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (+.f64 2 (/.f64 1 (+.f64 b 2)))))) (-.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) 3) (pow.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (*.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (-.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 1 (/.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 (+.f64 4 (*.f64 b (+.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (fma.f64 b b -4))) (cbrt.f64 (+.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (-.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) 64)) (-.f64 (pow.f64 b 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 (*.f64 b (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b -2) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) 16)) (+.f64 4 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))))))) (#(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) (sqrt.f64 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (pow.f64 (cbrt.f64 (+.f64 b 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (/.f64 (sqrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 b b -4) (*.f64 (+.f64 b 2) (fma.f64 b b -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b -2) (fma.f64 b b -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 2 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (/.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (+.f64 8 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) 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(#(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)))))

simplify154.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

954×	`associate-+r-`
894×	`associate-+l-`
740×	`distribute-lft-in`
656×	`distribute-rgt-in`
578×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	639	12918
1	1831	12130
2	6929	12130

Stop Event

1×	node limit

Counts

246 → 399

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

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)
✓	2.2b	(+.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 (/.f64 1 (+.f64 b 2)) 1)
0.0ms	b	@	-inf	(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))

rewrite92.0ms (1.3%)

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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simplify174.0ms (2.4%)

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))
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(/.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)
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 b 2) -3) (-.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2)))) (/.f64 -1 (-.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2))))))
(+.f64 1 (+.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))))))
(-.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 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 (-.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)
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 b 2) -3) (-.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2)))) (/.f64 -1 (-.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2))))))
(+.f64 1 (+.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))))))
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(/.f64 1 (+.f64 b 2))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(/.f64 1 (+.f64 b 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)) (cbrt.f64 (+.f64 b 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 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)) (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 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 b -2) (/.f64 1 (fma.f64 b b -4)))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(*.f64 -1 (/.f64 -1 (+.f64 b 2)))
(/.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 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 1 (+.f64 b 2))) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 -1 (/.f64 1 (+.f64 b 2))) (+.f64 (/.f64 1 (+.f64 b 2)) -2)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (/.f64 -1 (+.f64 b 2))) 3)) (fma.f64 (-.f64 -1 (/.f64 -1 (+.f64 b 2))) (+.f64 (/.f64 1 (+.f64 b 2)) -2) 1))
(.f64 (fma.f64 b b (-.f64 4 (.f64 b 2))) (/.f64 1 (+.f64 8 (pow.f64 b 3))))
(.f64 (fma.f64 b b (-.f64 4 (.f64 b 2))) (/.f64 1 (+.f64 (pow.f64 b 3) 8)))
(/.f64 (+.f64 (fma.f64 b b 4) (*.f64 b -2)) (+.f64 (pow.f64 b 3) 8))
(*.f64 (/.f64 -1 (+.f64 b 2)) -1)
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(*.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4)))
(/.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 (fma.f64 b b (-.f64 4 (.f64 b 2))) (/.f64 1 (+.f64 (pow.f64 b 3) 8)))
(/.f64 (+.f64 (fma.f64 b b 4) (*.f64 b -2)) (+.f64 (pow.f64 b 3) 8))
(*.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 (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 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 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 1 (+.f64 b 2))) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 -1 (/.f64 1 (+.f64 b 2))) (+.f64 (/.f64 1 (+.f64 b 2)) -2)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (/.f64 -1 (+.f64 b 2))) 3)) (fma.f64 (-.f64 -1 (/.f64 -1 (+.f64 b 2))) (+.f64 (/.f64 1 (+.f64 b 2)) -2) 1))
(*.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 (cbrt.f64 (+.f64 b 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1) (pow.f64 (cbrt.f64 (+.f64 b 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1) (pow.f64 (cbrt.f64 (+.f64 b 2)) 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) 2))) (/.f64 1 (+.f64 b 2)))
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 b b -4))) (neg.f64 (+.f64 b -2)))
(*.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4)))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(.f64 (/.f64 1 (neg.f64 (+.f64 8 (pow.f64 b 3)))) (neg.f64 (fma.f64 b b (-.f64 4 (.f64 b 2)))))
(.f64 (fma.f64 b b (-.f64 4 (.f64 b 2))) (/.f64 1 (+.f64 (pow.f64 b 3) 8)))
(/.f64 (+.f64 (fma.f64 b b 4) (*.f64 b -2)) (+.f64 (pow.f64 b 3) 8))
(.f64 (/.f64 1 (-.f64 4 (.f64 b b))) (-.f64 2 b))
(*.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4)))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(.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 (+.f64 (pow.f64 b 3) 8))) (sqrt.f64 (fma.f64 b b (-.f64 4 (.f64 b 2)))))
(.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 (pow.f64 b 3) 8))) (sqrt.f64 (+.f64 (fma.f64 b b 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)))))
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(-.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))))

localize14.0ms (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)))
✓	0.6b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite103.0ms (1.4%)

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

((#(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))))))))

simplify168.0ms (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)))
(+.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)))
(+.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 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 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))) (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 (-.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 (-.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 (-.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))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 b (.f64 b 1/2)))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (.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))) (fma.f64 (neg.f64 b) (.f64 b 1/2) (.f64 b (.f64 b 1/2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) b) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (-.f64 2 (.f64 b (.f64 b 1/2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) 2) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (-.f64 b (.f64 b (.f64 b 1/2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (neg.f64 (.f64 b (.f64 b 1/2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b (*.f64 b 1/2)) -1)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b b) -1/2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 1/2 (neg.f64 (.f64 b b)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b (sqrt.f64 1/2)) (neg.f64 (*.f64 b (sqrt.f64 1/2))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) (neg.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 b (neg.f64 (.f64 b 1/2)))))
(+.f64 (.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)) (.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 (/.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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) 1)
(.f64 1 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))
(.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 1)
(.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))
(.f64 (/.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 (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 b (-.f64 2 (.f64 b (.f64 b 1/2)))) (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))))
(.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 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (*.f64 b b) 3) 1/8))))
(.f64 -1 (/.f64 -1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))
(.f64 (/.f64 -1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) -1)
(.f64 (/.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 (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 (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 (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 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))) (neg.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (neg.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 1 (-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2)))))) (-.f64 (+.f64 b -2) (.f64 b (*.f64 b 1/2))))
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(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (.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 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (*.f64 b b) 3) 1/8))))
(/.f64 (-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2))))) (-.f64 (+.f64 b -2) (.f64 b (.f64 b 1/2))))
(/.f64 (-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2))))) (.f64 1 (-.f64 (+.f64 b -2) (.f64 b (*.f64 b 1/2)))))
(/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)) (-.f64 (.f64 b (*.f64 b 1/2)) (+.f64 b 2)))
(/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)) (.f64 1 (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 b 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 b 2) 3) 3) (pow.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) 3)) (.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 (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 (pow.f64 b 3) (pow.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) 3)) (+.f64 (.f64 b b) (-.f64 (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2)))) (.f64 b (+.f64 2 (.f64 b (*.f64 b 1/2)))))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) 3)) (.f64 1 (+.f64 (.f64 b b) (-.f64 (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2)))) (.f64 b (+.f64 2 (.f64 b (.f64 b 1/2))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3)) (.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (+.f64 (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4)) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))) (neg.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (neg.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 1 (-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2)))))) (-.f64 (+.f64 b -2) (.f64 b (*.f64 b 1/2))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2))) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 b 2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) 3))) (+.f64 (.f64 b b) (-.f64 (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2)))) (.f64 b (+.f64 2 (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (sqrt.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)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (sqrt.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))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (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)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))) (cbrt.f64 (+.f64 b (-.f64 2 (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) 1) (neg.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) 1) (neg.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 (.f64 b b) (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2))))) 1) (-.f64 (+.f64 b -2) (.f64 b (*.f64 b 1/2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)) 1) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 b 2)))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) 3)) 1) (+.f64 (.f64 b b) (-.f64 (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2)))) (.f64 b (+.f64 2 (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 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 (sqrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)))) (sqrt.f64 (+.f64 b (-.f64 2 (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 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)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2)) (cbrt.f64 (+.f64 b (-.f64 2 (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (/.f64 1 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3)) (/.f64 1 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (+.f64 (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4)) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (/.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 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (*.f64 b b) 3) 1/8)))
(/.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))
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(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 b 6) 1/8)) (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 b (.f64 (+.f64 b 2) (.f64 1/2 b)))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 b 2) 3)) (+.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 b (*.f64 b -1/2)) (+.f64 b 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)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 b 6) 1/8)) (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 b (.f64 (+.f64 b 2) (.f64 1/2 b)))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 b 2) 3)) (+.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 b (*.f64 b -1/2)) (+.f64 b 2))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 1)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3) 1/3)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 2))
(fabs.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1 b (+.f64 2 (.f64 b (.f64 b 1/2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1 (+.f64 b 2) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 b 2))
(+.f64 (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2) (+.f64 b 2))
(+.f64 (+.f64 b 2) (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2))
(+.f64 b (+.f64 2 (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)))
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 2 (.f64 b (.f64 b 1/2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 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 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 1/2 (*.f64 b b))) (+.f64 b 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 2 (.f64 b (.f64 b 1/2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(.f64 1/2 (.f64 b b))
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(.f64 1/2 (.f64 b b))
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(.f64 1/2 (.f64 b b))
(pow.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(.f64 1/2 (.f64 b b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(.f64 1/2 (.f64 b b))
(cbrt.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (pow.f64 2 -1/2) 2)

Compiler

Compiled 12 to 12 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`add-sqr-sqrt`
912×	`*-un-lft-identity`
876×	`pow1`
862×	`add-cube-cbrt`
858×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	136	1
2	1278	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(pow.f64 (pow.f64 2 -1/2) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
1/2

Outputs
1/2

eval642.0ms (8.7%)

Compiler: Compiled 33001 to 26956 computations (18.3% saved)

prune279.0ms (3.8%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1303	2	1305
Fresh	1	3	4
Picked	1	0	1
Done	5	5	10
Total	1310	10	1320

Error

0.2b

Counts

1320 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.7b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	12.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	31.2b	(-.f64 1 1)
✓	38.7b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	57.2b	(+.f64 1 (fabs.f64 (-.f64 -1 (/.f64 -1 (+.f64 b 2)))))
	40.6b	(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
	38.6b	(+.f64 1/2 (*.f64 1/4 a))
✓	39.9b	(+.f64 1/2 (*.f64 -1/4 b))
✓	32.7b	(exp.f64 a)
	38.7b	1/2

Compiler

Compiled 81 to 69 computations (14.8% saved)

regimes35.0ms (0.5%)

Counts

22 → 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 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(exp.f64 a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (fabs.f64 (-.f64 -1 (/.f64 -1 (+.f64 b 2)))))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(pow.f64 (pow.f64 2 -1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(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)))))
(/.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))

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

Calls

5 calls:

11.0ms	a
11.0ms	b
3.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.3b	1	`(exp.f64 a)`
0.3b	1	`(exp.f64 b)`

Compiler

Compiled 184 to 123 computations (33.2% saved)

regimes32.0ms (0.4%)

Counts

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

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

Calls

5 calls:

10.0ms	a
10.0ms	b
3.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
0.5b	1	`a`
0.5b	1	`b`
0.5b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.5b	1	`(exp.f64 a)`
0.5b	1	`(exp.f64 b)`

Compiler

Compiled 154 to 114 computations (26% saved)

regimes60.0ms (0.8%)

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

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

Calls

4 calls:

24.0ms	b
18.0ms	a
10.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.9b	2	`a`
0.4b	3	`b`
0.9b	2	`(exp.f64 a)`
0.4b	3	`(exp.f64 b)`

Compiler

Compiled 128 to 100 computations (21.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000120934027534	6.15512258950772
0.0ms	1.8581026114269646e-239	0.9999999988067774

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes55.0ms (0.8%)

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

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

Calls

4 calls:

29.0ms	b
16.0ms	a
4.0ms	(exp.f64 a)
2.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.9b	2	`a`
9.3b	4	`b`
0.9b	2	`(exp.f64 a)`
12.1b	1	`(exp.f64 b)`

Compiler

Compiled 121 to 97 computations (19.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.663574169720566e-13

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes48.0ms (0.6%)

Counts

11 → 5

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

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

Calls

3 calls:

28.0ms	b
13.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
10.0b	2	`a`
9.1b	5	`b`
10.0b	2	`(exp.f64 a)`

Compiler

Compiled 74 to 57 computations (23% saved)

bsearch99.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
50.0ms	7.801732634072569e-43	8.558567240493584e-31
13.0ms	2.5843388474575195e-186	5.110352286602436e-185
15.0ms	3.111965593763208e-220	6.338220408490083e-213
21.0ms	-1.1932226556562252e-9	-9.021546396791197e-21

Results

92.0ms

576×

body

256

valid

Compiler

Compiled 509 to 458 computations (10% saved)

regimes36.0ms (0.5%)

Counts

10 → 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 (+.f64 b 2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.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:

22.0ms	b
11.0ms	a

Results

Error	Segments	Branch
10.2b	2	`a`
16.1b	4	`b`

Compiler

Compiled 68 to 53 computations (22.1% saved)

bsearch47.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
47.0ms	-848187245720887200.0	-92550.123052734

Results

44.0ms	160×	body	256	valid
0.0ms	2×	body	256	unsamplable

Compiler

Compiled 195 to 180 computations (7.7% saved)

regimes39.0ms (0.5%)

Counts

6 → 4

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 (+.f64 b 2))

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

Calls

2 calls:

21.0ms	a
17.0ms	b

Results

Error	Segments	Branch
18.2b	5	`a`
16.1b	4	`b`

Compiler

Compiled 30 to 24 computations (20% saved)

bsearch79.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
18.0ms	7.801732634072569e-43	8.558567240493584e-31
12.0ms	2.5843388474575195e-186	5.110352286602436e-185
48.0ms	3.111965593763208e-220	6.338220408490083e-213

Results

72.0ms

416×

body

256

valid

Compiler

Compiled 379 to 348 computations (8.2% saved)

regimes64.0ms (0.9%)

Accuracy

Total -46.3b remaining (-284.1%)

Threshold costs -46.3b (-284.1%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	b
20.0ms	a

Results

Error	Segments	Branch
18.2b	5	`a`
16.3b	4	`b`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch72.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
45.0ms	7.801732634072569e-43	8.558567240493584e-31
11.0ms	2.5843388474575195e-186	5.110352286602436e-185
16.0ms	3.111965593763208e-220	6.338220408490083e-213

Results

66.0ms

416×

body

256

valid

Compiler

Compiled 275 to 270 computations (1.8% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
10×	`if-if-or-not`
8×	`not-or`
6×	`sub-neg`
4×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	341
1	81	341
2	93	341
3	100	333
4	103	333
5	105	333

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 2346099009001469/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 1 1)))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -6189700196426901/38685626227668133590597632) (exp.f64 a) (if (<=.f64 b 2231744757682269/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6368548303854545/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (-.f64 1 1) (if (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312) (+.f64 1/2 (.f64 1/4 a)) (-.f64 1 1)))))
(if (<=.f64 a -95000) (-.f64 1 1) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))
(if (<=.f64 b 2350002971744237/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6368548303854545/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (-.f64 1 1) (if (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312) (+.f64 1/2 (.f64 1/4 a)) (-.f64 1 1))))
(if (<=.f64 b 2350002971744237/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) 1/2 (if (<=.f64 b 7103380800453147/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) (-.f64 1 1) (if (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312) 1/2 (-.f64 1 1))))
1/2

Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 2346099009001469/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 1 1)))
(if (<=.f64 (exp.f64 b) 2346099009001469/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 0))
(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 -6189700196426901/38685626227668133590597632) (exp.f64 a) (if (<=.f64 b 2231744757682269/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6368548303854545/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (-.f64 1 1) (if (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312) (+.f64 1/2 (.f64 1/4 a)) (-.f64 1 1)))))
(if (<=.f64 b -6189700196426901/38685626227668133590597632) (exp.f64 a) (if (<=.f64 b 2231744757682269/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b 6368548303854545/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) 0 (if (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312) (+.f64 1/2 (.f64 a 1/4)) 0))))
(if (<=.f64 b -6189700196426901/38685626227668133590597632) (exp.f64 a) (if (or (<=.f64 b 2231744757682269/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904) (and (not (<=.f64 b 6368548303854545/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712)) (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312))) (+.f64 1/2 (*.f64 a 1/4)) 0))
(if (<=.f64 a -95000) (-.f64 1 1) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))
(if (<=.f64 a -95000) 0 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(if (<=.f64 b 2350002971744237/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6368548303854545/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (-.f64 1 1) (if (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312) (+.f64 1/2 (.f64 1/4 a)) (-.f64 1 1))))
(if (<=.f64 b 2350002971744237/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b 6368548303854545/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) 0 (if (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312) (+.f64 1/2 (.f64 a 1/4)) 0)))
(if (or (<=.f64 b 2350002971744237/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (and (not (<=.f64 b 6368548303854545/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712)) (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312))) (+.f64 1/2 (*.f64 a 1/4)) 0)
(if (<=.f64 b 2350002971744237/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) 1/2 (if (<=.f64 b 7103380800453147/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) (-.f64 1 1) (if (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312) 1/2 (-.f64 1 1))))
(if (<=.f64 b 2350002971744237/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) 1/2 (if (<=.f64 b 7103380800453147/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) 0 (if (<=.f64 b 606580269400033/713623846352979940529142984724747568191373312) 1/2 0)))
1/2

Compiler

Compiled 146 to 114 computations (21.9% saved)

soundness0.0ms (0%)

end92.0ms (1.2%)

Compiler: Compiled 130 to 90 computations (30.8% saved)