Details

analyze20.0ms (0.4%)

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)

sample822.0ms (17.7%)

Results

790.0ms	8256×	body	256	valid
15.0ms	176×	body	256	unsamplable

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	10	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
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	b	@	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)))

rewrite86.0ms (1.9%)

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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simplify134.0ms (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))

eval81.0ms (1.7%)

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

prune37.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	263	3	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	3	267

Error

Counts

267 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.5b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	10.8b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 28 to 21 computations (25% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	1.1b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	2.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series88.0ms (1.9%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
19.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	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)))))

rewrite120.0ms (2.6%)

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

Outputs
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Outputs

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simplify162.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	827	23321
1	2284	23113

Stop Event

1×	node limit

Counts

331 → 493

Calls

Call 1

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

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

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))

rewrite58.0ms (1.3%)

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)))))

simplify61.0ms (1.3%)

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)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
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 (1.3%)

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 (1.4%)

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)

eval241.0ms (5.2%)

Compiler: Compiled 20757 to 8162 computations (60.7% saved)

prune155.0ms (3.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	836	8	844
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	837	10	847

Error

Counts

847 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.5b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	32.3b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	41.9b	(/.f64 1 (+.f64 b 2))
✓	10.8b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	40.4b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
▶	40.1b	(+.f64 1/2 (*.f64 1/4 a))
▶	41.9b	(+.f64 1/2 (*.f64 -1/4 b))
▶	22.5b	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
	28.2b	(exp.f64 a)
	40.3b	1/2

Compiler

Compiled 138 to 112 computations (18.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
✓	0.0b	(log1p.f64 (exp.f64 a))
✓	0.1b	(-.f64 a (log1p.f64 (exp.f64 a)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series25.0ms (0.5%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
9.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
2.0ms	a	@	inf	(-.f64 a (log1p.f64 (exp.f64 a)))
2.0ms	a	@	-inf	(-.f64 a (log1p.f64 (exp.f64 a)))
0.0ms	a	@	0	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))

rewrite64.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`add-sqr-sqrt`
1664×	`*-un-lft-identity`
1550×	`add-cube-cbrt`
1532×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	43
1	163	43
2	2066	43

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(-.f64 a (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))

Outputs

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

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

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

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1250×	`distribute-lft-in`
1130×	`distribute-rgt-in`
854×	`associate-/l*`
704×	`*-commutative`
460×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2750
1	546	2308
2	2586	2306

Stop Event

1×	node limit

Counts

114 → 134

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 2))
(+.f64 (.f64 1/2 a) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (*.f64 -1 (log.f64 2))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (+.f64 (.f64 1/192 (pow.f64 a 4)) (.f64 -1 (log.f64 2)))))
a
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
a
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log.f64 2)))
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (.f64 1/2 (.f64 a (exp.f64 (neg.f64 (log.f64 2))))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (.f64 1/2 (.f64 a (exp.f64 (neg.f64 (log.f64 2)))))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (+.f64 (.f64 1/2 (.f64 a (exp.f64 (neg.f64 (log.f64 2))))) (.f64 1/240 (.f64 (pow.f64 a 5) (exp.f64 (neg.f64 (log.f64 2))))))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a))))
(+.f64 a (neg.f64 (log1p.f64 (exp.f64 a))))
(+.f64 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))
(+.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(+.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(+.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) a)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(+.f64 0 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1)
(*.f64 1 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(*.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))))
(.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 a a (.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))
(*.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 1 (/.f64 (+.f64 a (log1p.f64 (exp.f64 a))) (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))) (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))))
(/.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))) (-.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 3)) (+.f64 (.f64 a a) (-.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a)))) (*.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))
(pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(fma.f64 1 a (neg.f64 (log1p.f64 (exp.f64 a))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (log1p.f64 (exp.f64 a))))
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (neg.f64 (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(*.f64 1 (log1p.f64 (exp.f64 a)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(log.f64 (+.f64 (exp.f64 a) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) 1))
(-.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 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(*.f64 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))))))
(*.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 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 (exp.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 (exp.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) 1)))
(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 1) (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(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))))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))

Outputs
(*.f64 -1 (log.f64 2))
(neg.f64 (log.f64 2))
(+.f64 (.f64 1/2 a) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 a (neg.f64 (log.f64 2)))
(-.f64 (/.f64 a 2) (log.f64 2))
(-.f64 (*.f64 a 1/2) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (*.f64 -1 (log.f64 2))))
(fma.f64 1/2 a (fma.f64 -1/8 (*.f64 a a) (neg.f64 (log.f64 2))))
(-.f64 (fma.f64 a 1/2 (.f64 (.f64 -1/8 a) a)) (log.f64 2))
(-.f64 (.f64 a (+.f64 1/2 (.f64 a -1/8))) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (+.f64 (.f64 1/192 (pow.f64 a 4)) (.f64 -1 (log.f64 2)))))
(fma.f64 1/2 a (fma.f64 -1/8 (*.f64 a a) (fma.f64 1/192 (pow.f64 a 4) (neg.f64 (log.f64 2)))))
(fma.f64 a 1/2 (-.f64 (fma.f64 -1/8 (.f64 a a) (.f64 1/192 (pow.f64 a 4))) (log.f64 2)))
a
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
a
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 a 1/2 (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/8 (.f64 a a)))
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (.f64 1/8 (.f64 a a))))
(+.f64 (fma.f64 a 1/2 (log.f64 2)) (fma.f64 1/8 (.f64 a a) (.f64 (pow.f64 a 4) -1/192)))
(+.f64 (fma.f64 a 1/2 (log.f64 2)) (fma.f64 (pow.f64 a 4) -1/192 (.f64 1/8 (.f64 a a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(exp.f64 (neg.f64 (log.f64 2)))
1/2
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (.f64 1/2 (.f64 a (exp.f64 (neg.f64 (log.f64 2))))))
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (.f64 1/2 (.f64 a (exp.f64 (neg.f64 (log.f64 2)))))))
(fma.f64 -1/24 (.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 a 3)) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (.f64 1/2 (*.f64 a (exp.f64 (neg.f64 (log.f64 2)))))))
(+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) -1/48)))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (+.f64 (.f64 1/2 (.f64 a (exp.f64 (neg.f64 (log.f64 2))))) (.f64 1/240 (.f64 (pow.f64 a 5) (exp.f64 (neg.f64 (log.f64 2))))))))
(fma.f64 -1/24 (.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 a 3)) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (fma.f64 1/2 (.f64 a (exp.f64 (neg.f64 (log.f64 2)))) (.f64 (.f64 1/240 (pow.f64 a 5)) (exp.f64 (neg.f64 (log.f64 2)))))))
(+.f64 (.f64 (pow.f64 a 3) -1/48) (+.f64 1/2 (+.f64 (.f64 a 1/4) (*.f64 (pow.f64 a 5) 1/480))))
(+.f64 (.f64 a 1/4) (+.f64 (.f64 (pow.f64 a 3) -1/48) (+.f64 1/2 (*.f64 (pow.f64 a 5) 1/480))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(+.f64 a (neg.f64 (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) a)
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 0 (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1)
(-.f64 a (log1p.f64 (exp.f64 a)))
(*.f64 1 (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(*.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(*.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(-.f64 a (log1p.f64 (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(.f64 (-.f64 (.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 a (log1p.f64 (exp.f64 a))))
(.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 a a (.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 a)) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 1 (/.f64 (+.f64 a (log1p.f64 (exp.f64 a))) (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))) (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 a a (.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 a (log1p.f64 (exp.f64 a))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))))
(.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 a a (.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))) (-.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 3)) (+.f64 (.f64 a a) (-.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a)))) (*.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))))))
(.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 a a (.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (+.f64 a (log1p.f64 (exp.f64 a)))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))
(.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 a a (.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))))
(pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1)
(-.f64 a (log1p.f64 (exp.f64 a)))
(pow.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)
(-.f64 a (log1p.f64 (exp.f64 a)))
(pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3)
(-.f64 a (log1p.f64 (exp.f64 a)))
(pow.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 3) 1/3)
(-.f64 a (log1p.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 2))
(fabs.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(cbrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 3))
(-.f64 a (log1p.f64 (exp.f64 a)))
(expm1.f64 (log1p.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(exp.f64 (log.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(-.f64 a (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(fma.f64 1 a (neg.f64 (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (neg.f64 (log1p.f64 (exp.f64 a))))
(-.f64 (.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a)) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1)
(log1p.f64 (exp.f64 a))
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(*.f64 1 (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(log1p.f64 (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(log1p.f64 (exp.f64 a))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(log1p.f64 (exp.f64 a))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(log1p.f64 (exp.f64 a))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(fabs.f64 (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (exp.f64 a))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(log1p.f64 (exp.f64 a))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (exp.f64 a))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(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 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.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 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(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 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 (exp.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) 1)))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(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 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(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 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(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 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 1) (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(fabs.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.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 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.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 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize6.0ms (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))

rewrite51.0ms (1.1%)

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))))))))

simplify65.0ms (1.4%)

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))

localize12.0ms (0.3%)

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)))
✓	0.7b	(/.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	@	0	(.f64 1/2 (.f64 b b))
0.0ms	b	@	inf	(.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))))

rewrite127.0ms (2.7%)

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

simplify256.0ms (5.5%)

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

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/16 (pow.f64 b 3)))
(+.f64 1/2 (+.f64 (.f64 -1/32 (pow.f64 b 4)) (+.f64 (.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(+.f64 (fma.f64 -1/4 b 1/2) (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b (.f64 b 1/2))) 1 (.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 b (.f64 b -1/2)) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b b)) 1/2 (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 b (.f64 b -1/2)) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 -1/2 (.f64 b b) (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 b (.f64 b -1/2)) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b (sqrt.f64 1/2))) (.f64 b (sqrt.f64 1/2)) (.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 (neg.f64 (pow.f64 (.f64 b (sqrt.f64 1/2)) 2)) (.f64 1/2 (.f64 b b)))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (+.f64 (.f64 1/2 (.f64 b b)) (neg.f64 (pow.f64 (.f64 b (sqrt.f64 1/2)) 2))) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (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 (cbrt.f64 (.f64 1/2 (.f64 b b)))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (.f64 1/2 (.f64 b b)))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (.f64 b b)))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (.f64 1/2 (.f64 b b))) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 b) (.f64 b 1/2) (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 b (.f64 b -1/2)) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (.f64 (/.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 b 2) (.f64 1/2 (.f64 b b))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 (fma.f64 1/2 (.f64 b b) (neg.f64 b)) -2) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(/.f64 (+.f64 -2 (fma.f64 1/2 (.f64 b b) (neg.f64 b))) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 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 b 2) (.f64 1/2 (.f64 b b))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 (fma.f64 1/2 (.f64 b b) (neg.f64 b)) -2) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(/.f64 (+.f64 -2 (fma.f64 1/2 (.f64 b b) (neg.f64 b))) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 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 b 2) (.f64 1/2 (.f64 b b))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 (fma.f64 1/2 (.f64 b b) (neg.f64 b)) -2) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
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(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(/.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 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 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))) (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 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -1/2)) (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 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 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -2))) (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) -1/2))))
(/.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 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 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 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 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 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 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 (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 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 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 (pow.f64 (cbrt.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)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) 2) (.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 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 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 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 (pow.f64 (+.f64 b 2) 2) (-.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))) (.f64 (/.f64 (pow.f64 b 4) (-.f64 (+.f64 b 2) (.f64 1/2 (*.f64 b b)))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))) (-.f64 2 (fma.f64 1/2 (.f64 b b) (neg.f64 b))))
(/.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 (pow.f64 (+.f64 b 2) 2) (-.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))) (.f64 (/.f64 (pow.f64 b 4) (-.f64 (+.f64 b 2) (.f64 1/2 (*.f64 b b)))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))) (-.f64 2 (fma.f64 1/2 (.f64 b b) (neg.f64 b))))
(/.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 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (-.f64 (sqrt.f64 (+.f64 b 2)) (*.f64 b (sqrt.f64 1/2))) (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (+.f64 b 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))) (.f64 (fma.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 (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))

eval302.0ms (6.5%)

Compiler: Compiled 13501 to 9644 computations (28.6% saved)

prune107.0ms (2.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	556	8	564
Fresh	1	2	3
Picked	1	0	1
Done	2	4	6
Total	560	14	574

Error

Counts

574 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.8b	(/.f64 (/.f64 2 b) b)
✓	22.5b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	52.5b	(/.f64 2 (*.f64 b b))
▶	22.5b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))
▶	52.4b	(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
✓	10.8b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	61.8b	(/.f64 1 b)
	25.0b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
	40.4b	(+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) -1/48)))
✓	40.1b	(+.f64 1/2 (*.f64 1/4 a))
✓	41.9b	(+.f64 1/2 (*.f64 -1/4 b))
	38.1b	(.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))))
▶	28.2b	(exp.f64 a)
	40.3b	1/2

Compiler

Compiled 238 to 184 computations (22.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`add-sqr-sqrt`
1944×	`*-un-lft-identity`
1818×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	59
1	192	49
2	2537	49

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 a) (+.f64 (pow.f64 (exp.f64 a) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3)))))))) (#(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 /.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (neg.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 (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) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (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 1 (exp.f64 a))))))) (#(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 (1.4%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/r*`
1264×	`associate-/l*`
1196×	`unswap-sqr`
1054×	`associate-*r/`
846×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	2957
1	633	2769
2	2798	2715

Stop Event

1×	node limit

Counts

141 → 155

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 2 b) b)

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`add-sqr-sqrt`
1356×	`*-un-lft-identity`
1274×	`add-cube-cbrt`
1260×	`add-cbrt-cube`
1248×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1713	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-+r+`
1368×	`associate-+l+`
882×	`distribute-rgt-in`
850×	`distribute-lft-in`
736×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	744
1	255	726
2	879	726
3	3763	726

Stop Event

1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (.f64 1/2 (.f64 b b)))
	0.0b	(.f64 1/2 (.f64 b b))
✓	0.7b	(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))

Compiler

Compiled 29 to 15 computations (48.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1906×	`add-sqr-sqrt`
1880×	`*-un-lft-identity`
1764×	`add-cube-cbrt`
1750×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	192	36
2	2470	36

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-+r+`
942×	`associate-/r*`
880×	`unswap-sqr`
682×	`associate-*r/`
674×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2565
1	452	2443
2	1723	2419
3	7800	2419

Stop Event

1×	node limit

Counts

95 → 120

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

eval96.0ms (2.1%)

Compiler: Compiled 4392 to 2749 computations (37.4% saved)

prune80.0ms (1.7%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	327	4	331
Fresh	3	2	5
Picked	0	1	1
Done	2	6	8
Total	332	13	345

Error

Counts

345 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.8b	(/.f64 (/.f64 2 b) b)
✓	22.5b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	52.5b	(/.f64 2 (*.f64 b b))
	39.8b	(/.f64 1 (-.f64 2 a))
	22.5b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	10.8b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	61.8b	(/.f64 1 b)
	44.8b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)
✓	40.1b	(+.f64 1/2 (*.f64 1/4 a))
✓	41.9b	(+.f64 1/2 (*.f64 -1/4 b))
	52.8b	(*.f64 (/.f64 2 b) (/.f64 1 b))
✓	28.2b	(exp.f64 a)
	40.3b	1/2

Compiler

Compiled 93 to 75 computations (19.4% saved)

regimes68.0ms (1.5%)

Counts

24 → 1

Calls

Call 1

Inputs
1/2
(/.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 2 a))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(*.f64 (/.f64 2 b) (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(.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))))
(exp.f64 a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) -1/48)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

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

Calls

5 calls:

42.0ms	b
11.0ms	a
4.0ms	(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
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.0b	1	`(exp.f64 a)`
0.0b	1	`(exp.f64 b)`

Compiler

Compiled 212 to 141 computations (33.5% saved)

regimes65.0ms (1.4%)

Counts

22 → 3

Calls

Call 1

Inputs
1/2
(/.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 2 a))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(*.f64 (/.f64 2 b) (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(.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))))
(exp.f64 a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) -1/48)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))

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

Calls

4 calls:

30.0ms	b
19.0ms	a
8.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.5b	2	`a`
0.3b	3	`b`
0.5b	2	`(exp.f64 a)`
0.3b	3	`(exp.f64 b)`

Compiler

Compiled 185 to 130 computations (29.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000286451363485	1.003466933185857
0.0ms	0.9999994423205373	0.9999995685440114

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes75.0ms (1.6%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	(exp.f64 b)
25.0ms	b
15.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.7b	2	`a`
9.5b	3	`b`
0.7b	2	`(exp.f64 a)`
10.8b	1	`(exp.f64 b)`

Compiler

Compiled 134 to 95 computations (29.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9747824513824883

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes116.0ms (2.5%)

Counts

15 → 6

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	b
40.0ms	(exp.f64 a)
30.0ms	a

Results

Error	Segments	Branch
13.1b	4	`a`
8.5b	6	`b`
14.8b	2	`(exp.f64 a)`

Compiler

Compiled 124 to 87 computations (29.8% saved)

bsearch76.0ms (1.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
18.0ms	-6.848366677803213e-236	-1.2454844654107168e-254
14.0ms	-4.5426620000451514e-184	-3.708512188406816e-187
15.0ms	-6.12353107844938e-106	-7.317888037143506e-109
12.0ms	-1.657455269674254e-66	-2.5131297122426798e-68
17.0ms	-3.4303245845063692e-12	-1.3454333105628527e-21

Results

67.0ms

672×

body

256

valid

Compiler

Compiled 537 to 464 computations (13.6% saved)

regimes32.0ms (0.7%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	b
10.0ms	a

Results

Error	Segments	Branch
25.0b	1	`a`
22.5b	2	`b`

Compiler

Compiled 118 to 83 computations (29.7% saved)

bsearch18.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.0034609372273944955	281911048.6259265

Results

16.0ms

160×

body

256

valid

Compiler

Compiled 215 to 180 computations (16.3% saved)

regimes22.0ms (0.5%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	b
6.0ms	a

Results

Error	Segments	Branch
25.0b	1	`a`
22.7b	2	`b`

Compiler

Compiled 58 to 44 computations (24.1% saved)

bsearch18.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	4.785388514657897e-61	5.427357268299697e-51

Results

16.0ms

160×

body

256

valid

Compiler

Compiled 215 to 190 computations (11.6% saved)

regimes33.0ms (0.7%)

Counts

9 → 2

Calls

Call 1

Inputs
1/2
(/.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 2 a))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(*.f64 (/.f64 2 b) (/.f64 1 b))

Outputs
(/.f64 1 (-.f64 2 a))
(/.f64 2 (*.f64 b b))

Calls

2 calls:

19.0ms	a
11.0ms	b

Results

Error	Segments	Branch
35.4b	4	`a`
30.4b	2	`b`

Compiler

Compiled 49 to 36 computations (26.5% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	2.490561515519918e+43	1.2151734807308195e+45

Results

9.0ms

112×

body

256

valid

Compiler

Compiled 127 to 101 computations (20.5% saved)

regimes11.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
1/2
(/.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 2 a))

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

Calls

2 calls:

5.0ms	b
5.0ms	a

Results

Error	Segments	Branch
39.8b	1	`a`
39.8b	1	`b`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes10.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
1/2
(/.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))

Calls

2 calls:

5.0ms	b
4.0ms	a

Results

Error	Segments	Branch
40.1b	1	`a`
40.1b	1	`b`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes8.0ms (0.2%)

Accuracy

Total -22.1b remaining (-54.7%)

Threshold costs -22.1b (-54.7%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1/2

Calls

2 calls:

4.0ms	a
3.0ms	b

Results

Error	Segments	Branch
40.3b	1	`a`
40.3b	1	`b`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
8×	`sub-neg`
4×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	386
1	88	386
2	93	386
3	94	386

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 9007194751141365/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -8715097876569077/39614081257132168796771975168) (exp.f64 a) (if (<=.f64 b -6313673899733619/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 1 (-.f64 2 a)) (if (<=.f64 b -8263199609878107/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (exp.f64 a) (if (<=.f64 b -7446302632199161/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) 1/2 (if (<=.f64 b -2627630890081645/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))))))
(if (<=.f64 b 135000000) (/.f64 1 (-.f64 2 a)) (-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1))
(if (<=.f64 b 3561963682593223/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 1 (-.f64 2 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 68000000000000002433258442466472203967791104) (/.f64 1 (-.f64 2 a)) (/.f64 2 (*.f64 b b)))
(/.f64 1 (-.f64 2 a))
(+.f64 1/2 (*.f64 1/4 a))
1/2

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 9007194751141365/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 9007194751141365/9007199254740992) (not (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496))) (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -8715097876569077/39614081257132168796771975168) (exp.f64 a) (if (<=.f64 b -6313673899733619/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 1 (-.f64 2 a)) (if (<=.f64 b -8263199609878107/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (exp.f64 a) (if (<=.f64 b -7446302632199161/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) 1/2 (if (<=.f64 b -2627630890081645/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))))))
(if (<=.f64 b -8715097876569077/39614081257132168796771975168) (exp.f64 a) (if (<=.f64 b -6313673899733619/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 1 (-.f64 2 a)) (if (<=.f64 b -8263199609878107/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (exp.f64 a) (if (<=.f64 b -7446302632199161/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) 1/2 (if (<=.f64 b -2627630890081645/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (exp.f64 a) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))))))
(if (<=.f64 b 135000000) (/.f64 1 (-.f64 2 a)) (-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1))
(if (<=.f64 b 135000000) (/.f64 1 (-.f64 2 a)) (+.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) -1))
(if (<=.f64 b 3561963682593223/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 1 (-.f64 2 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 3561963682593223/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 1 (-.f64 2 a)) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 b 68000000000000002433258442466472203967791104) (/.f64 1 (-.f64 2 a)) (/.f64 2 (*.f64 b b)))
(/.f64 1 (-.f64 2 a))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
1/2

Compiler

Compiled 167 to 128 computations (23.4% saved)

soundness0.0ms (0%)

end77.0ms (1.7%)

Compiler: Compiled 149 to 105 computations (29.5% saved)

Details

analyze20.0ms (0.4%)

sample822.0ms (17.7%)

preprocess5.0ms (0.1%)

simplify13.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series6.0ms (0.1%)

rewrite86.0ms (1.9%)

simplify134.0ms (2.9%)

eval81.0ms (1.7%)

prune37.0ms (0.8%)

localize12.0ms (0.3%)

series88.0ms (1.9%)

rewrite120.0ms (2.6%)

simplify162.0ms (3.5%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (1.3%)

simplify61.0ms (1.3%)

localize12.0ms (0.3%)

series1.0ms (0%)

rewrite59.0ms (1.3%)

simplify65.0ms (1.4%)

eval241.0ms (5.2%)

prune155.0ms (3.3%)

localize8.0ms (0.2%)

series25.0ms (0.5%)

rewrite64.0ms (1.4%)

simplify61.0ms (1.3%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (1.1%)

simplify65.0ms (1.4%)

localize12.0ms (0.3%)

series2.0ms (0%)

rewrite127.0ms (2.7%)

simplify256.0ms (5.5%)

eval302.0ms (6.5%)

prune107.0ms (2.3%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite80.0ms (1.7%)

simplify65.0ms (1.4%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (1.1%)

simplify62.0ms (1.3%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite90.0ms (1.9%)

simplify82.0ms (1.8%)

localize3.0ms (0.1%)

eval96.0ms (2.1%)

prune80.0ms (1.7%)

regimes68.0ms (1.5%)

regimes65.0ms (1.4%)

bsearch0.0ms (0%)

regimes75.0ms (1.6%)

bsearch0.0ms (0%)

regimes116.0ms (2.5%)

bsearch76.0ms (1.6%)

regimes32.0ms (0.7%)

bsearch18.0ms (0.4%)

regimes22.0ms (0.5%)

bsearch18.0ms (0.4%)

regimes33.0ms (0.7%)

bsearch11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

simplify12.0ms (0.3%)

soundness0.0ms (0%)

end77.0ms (1.7%)

Profiling