Details

analyze19.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	4
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	5
78.6%	68.7%	18.7%	0.1%	0%	0%	12.5%	6
80%	68.7%	17.2%	0.1%	0%	0%	14%	7
87.1%	68.7%	10.1%	0.1%	0%	0%	21.1%	8
88.4%	68.7%	9%	0.1%	0%	0%	22.2%	9
92.9%	68.7%	5.3%	0.1%	0%	0%	26%	10
93.7%	68.7%	4.6%	0.1%	0%	0%	26.6%	11
96.2%	68.7%	2.7%	0.1%	0%	0%	28.5%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample757.0ms (11%)

Results

728.0ms	8256×	body	256	valid
15.0ms	187×	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)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	10	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

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

0.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

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

Outputs
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Outputs

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

simplify126.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

191 → 266

Calls

Call 1

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

Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
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(/.f64 (.f64 (-.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))

eval82.0ms (1.2%)

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

prune40.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

Counts

267 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
▶	23.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	13.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	24.8b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
▶	0.7b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 130 to 90 computations (30.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	1.5b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	2.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series86.0ms (1.2%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
25.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms	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)))))

rewrite118.0ms (1.7%)

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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simplify165.0ms (2.4%)

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))

rewrite66.0ms (1%)

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)))))

simplify66.0ms (1%)

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)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 a))
✓	0.3b	(/.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))

rewrite96.0ms (1.4%)

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)))))

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 97

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 19 computations (60.4% saved)

series25.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	a	@	0	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
1.0ms	b	@	0	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
1.0ms	b	@	inf	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
1.0ms	a	@	inf	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
1.0ms	b	@	-inf	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`associate-*r/`
1298×	`associate-*l/`
372×	`associate-+l+`
332×	`associate-+r+`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	89
1	312	89
2	4075	89

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs

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

simplify166.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1048×	`associate--r+`
742×	`associate--l+`
684×	`fma-def`
650×	`associate-+r-`
540×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	497	10948
1	1391	10184
2	6141	10182

Stop Event

1×	node limit

Counts

232 → 295

Calls

Call 1

Inputs
(+.f64 2 a)
(+.f64 2 (+.f64 a b))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
a
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
a
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))
(+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))))) (.f64 -8 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))))
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))
(+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (.f64 8 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 5)))))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)))) (.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(*.f64 1/2 (pow.f64 a 2))
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(+.f64 (+.f64 (+.f64 (+.f64 1 (exp.f64 b)) (.f64 (.f64 1/2 a) a)) 0) a)
(+.f64 (+.f64 (+.f64 (+.f64 1 (exp.f64 b)) (.f64 (.f64 1/2 a) a)) (log.f64 (sqrt.f64 (exp.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 a))))
(+.f64 (+.f64 (+.f64 (+.f64 1 (exp.f64 b)) (.f64 (.f64 1/2 a) a)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 a a))))) (log.f64 (cbrt.f64 (exp.f64 a))))
(+.f64 (+.f64 (.f64 (.f64 (*.f64 1/2 a) a) 1) 1) (+.f64 (exp.f64 b) a))
(+.f64 (+.f64 (.f64 (.f64 (*.f64 1/2 a) a) 1) (exp.f64 b)) (+.f64 1 a))
(+.f64 (+.f64 (.f64 (.f64 (*.f64 1/2 a) a) 1) a) (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 (.f64 (.f64 (*.f64 1/2 a) a) 1) (+.f64 (exp.f64 b) a)) 1)
(+.f64 (+.f64 (.f64 (.f64 (*.f64 1/2 a) a) 1) (+.f64 1 (exp.f64 b))) a)
(+.f64 (+.f64 (.f64 (.f64 (*.f64 1/2 a) a) 1) (+.f64 1 a)) (exp.f64 b))
(+.f64 (+.f64 (.f64 (.f64 (.f64 1/2 a) a) 1) (.f64 (+.f64 1 (exp.f64 b)) 1)) a)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 b) a)))) (-.f64 1 (.f64 (.f64 1/2 a) a)))
(-.f64 (/.f64 1 (-.f64 (-.f64 1 (exp.f64 b)) a)) (-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 b) a) 2) (-.f64 (-.f64 1 (exp.f64 b)) a)) (.f64 (.f64 1/2 a) a)))
(-.f64 (+.f64 (+.f64 2 (+.f64 (exp.f64 b) a)) (.f64 (.f64 1/2 a) a)) 1)
(-.f64 (+.f64 (.f64 (.f64 1/2 a) a) (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 b) a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/2 a) a) (/.f64 1 (-.f64 (-.f64 1 (exp.f64 b)) a))) (/.f64 (pow.f64 (+.f64 (exp.f64 b) a) 2) (-.f64 (-.f64 1 (exp.f64 b)) a)))
(-.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/2 a) a)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 b) a))) (/.f64 (*.f64 a a) (-.f64 (exp.f64 b) a)))
(-.f64 (+.f64 (+.f64 (+.f64 1 (exp.f64 b)) (.f64 (.f64 1/2 a) a)) (exp.f64 (log1p.f64 a))) 1)
(-.f64 (+.f64 (.f64 (.f64 (*.f64 1/2 a) a) 1) (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 b) a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (*.f64 1/2 a) a) 1) (/.f64 1 (-.f64 (-.f64 1 (exp.f64 b)) a))) (/.f64 (pow.f64 (+.f64 (exp.f64 b) a) 2) (-.f64 (-.f64 1 (exp.f64 b)) a)))
(.f64 1 (fma.f64 1/2 (.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
(.f64 (fma.f64 1/2 (.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))) 1)
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))) (sqrt.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))) 2)) (cbrt.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/2 a) a) (.f64 (.f64 1/2 a) a)) (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) 2)) (-.f64 (.f64 (*.f64 1/2 a) a) (+.f64 1 (+.f64 (exp.f64 b) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) 3) (pow.f64 (.f64 (.f64 1/2 a) a) 3)) (-.f64 (+.f64 (.f64 (.f64 (.f64 1/2 a) a) (.f64 (.f64 1/2 a) a)) (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) 2)) (.f64 (.f64 (.f64 1/2 a) a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (.f64 1/2 a) a) (.f64 (.f64 1/2 a) a)) (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) 2))) (-.f64 (.f64 (.f64 1/2 a) a) (+.f64 1 (+.f64 (exp.f64 b) a))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) 3) (pow.f64 (.f64 (.f64 1/2 a) a) 3))) (-.f64 (+.f64 (.f64 (.f64 (.f64 1/2 a) a) (.f64 (.f64 1/2 a) a)) (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) 2)) (.f64 (.f64 (*.f64 1/2 a) a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 1/2 a) a) (.f64 (.f64 1/2 a) a)) (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) 2)) 1) (-.f64 (.f64 (.f64 1/2 a) a) (+.f64 1 (+.f64 (exp.f64 b) a))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) 3) (pow.f64 (.f64 (.f64 1/2 a) a) 3)) 1) (-.f64 (+.f64 (.f64 (.f64 (.f64 1/2 a) a) (.f64 (.f64 1/2 a) a)) (pow.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) 2)) (.f64 (.f64 (*.f64 1/2 a) a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))))

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

localize40.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
	0.3b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	0.5b	(/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

Compiler

Compiled 64 to 35 computations (45.3% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1156×	`times-frac`
1028×	`+-commutative`
958×	`distribute-lft-in`
876×	`associate-+r-`
856×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2098
1	481	2050
2	1702	1978
3	7126	1978

Stop Event

1×	node limit

Counts

70 → 107

Calls

Call 1

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

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

eval529.0ms (7.7%)

Compiler: Compiled 35038 to 15851 computations (54.8% saved)

prune421.0ms (6.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1380	9	1389
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	1383	11	1394

Error

Counts

1394 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	34.8b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	43.8b	(/.f64 1 (+.f64 b 2))
✓	13.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	13.3b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
▶	42.2b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	42.0b	(+.f64 1/2 (*.f64 1/4 a))
▶	43.7b	(+.f64 1/2 (*.f64 -1/4 b))
▶	13.1b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
▶	28.7b	(exp.f64 a)
	42.1b	1/2

Compiler

Compiled 160 to 134 computations (16.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	0.3b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series27.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
12.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))
0.0ms	b	@	inf	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`add-sqr-sqrt`
1030×	`*-un-lft-identity`
976×	`pow1`
954×	`add-cube-cbrt`
942×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	136	20
2	1592	20

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 b))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))

Outputs

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

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-/l*`
804×	`unswap-sqr`
720×	`fma-def`
586×	`associate-/r*`
520×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1229
1	362	1093
2	1565	1063
3	6583	1063

Stop Event

1×	node limit

Counts

81 → 91

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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 (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 63

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
✓	0.2b	(*.f64 -1/48 (pow.f64 a 3))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 -1/48 (pow.f64 a 3))
0.0ms	a	@	inf	(*.f64 -1/48 (pow.f64 a 3))
0.0ms	a	@	-inf	(*.f64 -1/48 (pow.f64 a 3))
0.0ms	a	@	inf	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
0.0ms	a	@	0	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2))) (-.f64 1 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a 1/4))) (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) (-.f64 1 (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 a -1/4))) (-.f64 (/.f64 (*.f64 1/16 (*.f64 a a)) (+.f64 1/2 (*.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a 6) (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) 1/2304)) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (/.f64 1/4 (+.f64 1/2 (*.f64 a -1/4)))) (/.f64 (*.f64 1/16 (*.f64 a a)) (+.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 a 1/4 1/2) (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (exp.f64 (log1p.f64 (*.f64 a 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (/.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 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-1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a 1/4 1/2)) (sqrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) 2) (cbrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 2) (*.f64 a (cbrt.f64 -1/48)) (fma.f64 a 1/4 1/2))))))

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

107 → 174

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) 1/3)
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(exp.f64 (log.f64 (*.f64 -1/48 (pow.f64 a 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2))) (-.f64 1 (*.f64 -1/48 (pow.f64 a 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/4))) (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) (-.f64 1 (fma.f64 a 1/4 1/2)))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
(-.f64 (/.f64 (pow.f64 a 6) (/.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) 1/2304)) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(-.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (exp.f64 (log1p.f64 (fma.f64 a 1/4 1/2)))) 1)
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4)))) (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (*.f64 a -1/4))))
(-.f64 (+.f64 (fma.f64 a 1/4 1/2) (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))) 1)
(-.f64 (+.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (exp.f64 (log1p.f64 (*.f64 a 1/4)))) 1)
(*.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)
(*.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))
(*.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(*.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (/.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(.f64 (/.f64 1 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (-.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (+.f64 (.f64 (pow.f64 a 6) 1/2304) (*.f64 (fma.f64 a 1/4 1/2) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (-.f64 (.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (pow.f64 a 6) 1/2304)) (.f64 (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (-.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (+.f64 (pow.f64 (.f64 (pow.f64 a 6) 1/2304) 3) (pow.f64 (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))) 3))) (+.f64 (.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (pow.f64 a 6) 1/2304)) (-.f64 (.f64 (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))) (.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))))
(/.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) (/.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 1 (/.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))
(/.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))) (/.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (/.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (/.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))) (/.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (cbrt.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))) (/.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))) (-.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (.f64 (pow.f64 a 6) 1/2304)) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (.f64 1/16 (.f64 a a))) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (.f64 a 1/4)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (pow.f64 a 6) 1/2304)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (+.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (*.f64 (pow.f64 a 6) 1/2304))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) 3) (pow.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) 3)) (.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))) (-.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 a 3) 1/64) (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 3)) (+.f64 (.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (-.f64 (.f64 1/16 (.f64 a a)) (.f64 (.f64 a 1/4) (fma.f64 -1/48 (pow.f64 a 3) 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 a 6) 1/2304) 3) (pow.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) 3)) (.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (+.f64 (.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (pow.f64 a 6) 1/2304)) (+.f64 (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (*.f64 (pow.f64 a 6) 1/2304))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (neg.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (.f64 (pow.f64 a 6) 1/2304))) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))
(/.f64 (.f64 1 (-.f64 (.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (.f64 1/16 (.f64 a a)))) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4)))
(/.f64 (.f64 1 (+.f64 (.f64 (pow.f64 a 3) 1/64) (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 3))) (+.f64 (.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (-.f64 (.f64 1/16 (.f64 a a)) (.f64 (*.f64 a 1/4) (fma.f64 -1/48 (pow.f64 a 3) 1/2)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))) (neg.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (sqrt.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))) (sqrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)))) (cbrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (.f64 (pow.f64 a 6) 1/2304)) 1) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))
(/.f64 (.f64 (-.f64 (.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (.f64 1/16 (.f64 a a))) 1) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 3) 1/64) (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 3)) 1) (+.f64 (.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (-.f64 (.f64 1/16 (.f64 a a)) (.f64 (*.f64 a 1/4) (fma.f64 -1/48 (pow.f64 a 3) 1/2)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) 1) (neg.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) (sqrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2)) (cbrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (pow.f64 a 6) 1/2304)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (/.f64 1 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))) (+.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (*.f64 (pow.f64 a 6) 1/2304)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 a 6) 1/2304) 3) (pow.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) 3)) (/.f64 1 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))) (+.f64 (.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (pow.f64 a 6) 1/2304)) (+.f64 (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (*.f64 (pow.f64 a 6) 1/2304)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (-.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) 3) (pow.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (-.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592)) (.f64 (pow.f64 (fma.f64 a 1/4 1/2) 3) (pow.f64 (fma.f64 a 1/4 1/2) 3))) (.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) 1) (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (sqrt.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))) (sqrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (cbrt.f64 (-.f64 (.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))) (cbrt.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (+.f64 (sqrt.f64 (fma.f64 a 1/4 1/2)) (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)))) (-.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (sqrt.f64 (fma.f64 a 1/4 1/2))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) 1) (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) (pow.f64 (fma.f64 a 1/4 1/2) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 a 6) 1/2304) (.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))
(pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(exp.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2))
(fma.f64 1 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))
(fma.f64 1 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 (sqrt.f64 (fma.f64 a 1/4 1/2)) (sqrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) (fma.f64 a 1/4 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) 2) (cbrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))
(fma.f64 (pow.f64 (.f64 a (cbrt.f64 -1/48)) 2) (.f64 a (cbrt.f64 -1/48)) (fma.f64 a 1/4 1/2))

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

eval168.0ms (2.4%)

Compiler: Compiled 7615 to 6151 computations (19.2% saved)

prune53.0ms (0.8%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	323	5	328
Fresh	0	4	4
Picked	0	1	1
Done	0	6	6
Total	323	16	339

Error

Counts

339 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	34.8b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
✓	43.8b	(/.f64 1 (+.f64 b 2))
✓	13.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	61.7b	(/.f64 1 b)
	62.5b	(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
▶	13.3b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
✓	42.2b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	46.2b	(+.f64 (exp.f64 b) 1)
▶	28.0b	(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
	42.0b	(+.f64 1/2 (*.f64 1/4 a))
✓	43.7b	(+.f64 1/2 (*.f64 -1/4 b))
▶	55.9b	(*.f64 -1/48 (pow.f64 a 3))
✓	13.1b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	28.7b	(exp.f64 a)
	42.1b	1/2

Compiler

Compiled 202 to 168 computations (16.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite103.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`associate-*r/`
1070×	`associate-*l/`
842×	`*-commutative`
798×	`distribute-lft-in`
492×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	222	40
2	3076	40

Stop Event

1×	node limit

Counts

2 → 244

Calls

Call 1

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

Outputs

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

simplify238.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1094×	`+-commutative`
726×	`associate-+l-`
630×	`associate-+r-`
620×	`distribute-lft-in`
584×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	656	16104
1	1867	15352
2	6765	15352

Stop Event

1×	node limit

Counts

260 → 396

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

localize3.0ms (0%)

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 b 2))
✓	0.0b	(-.f64 (/.f64 1 (+.f64 b 2)) 1)
✓	3.0b	(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 236

Calls

Call 1

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

Outputs

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

simplify166.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

260 → 412

Calls

Call 1

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

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

localize50.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 b b))
✓	0.1b	(/.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

2 → 24

Calls

6 calls:

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

rewrite100.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	244	40
2	3195	40

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-/l*`
640×	`associate-/r*`
628×	`+-commutative`
552×	`distribute-lft-neg-in`
550×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	4961
1	894	4573
2	3246	4453

Stop Event

1×	node limit

Counts

95 → 162

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)))))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b (.f64 b 1/2))) 1 (.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b b)) 1/2 (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 -1/2 (.f64 b b) (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b (sqrt.f64 1/2))) (.f64 b (sqrt.f64 1/2)) (.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 b (.f64 b 1/2)))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 b) (.f64 b 1/2) (.f64 b (.f64 b 1/2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) b) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (-.f64 2 (.f64 b (.f64 b 1/2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) 2) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (-.f64 b (.f64 b (.f64 b 1/2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (neg.f64 (.f64 b (.f64 b 1/2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b (*.f64 b 1/2)) -1)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b b) -1/2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 1/2 (neg.f64 (.f64 b b)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b (sqrt.f64 1/2)) (neg.f64 (*.f64 b (sqrt.f64 1/2))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) (neg.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 b (neg.f64 (.f64 b 1/2)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (pow.f64 (+.f64 b 2) 2)) (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))) (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (pow.f64 (+.f64 b 2) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) 1)
(.f64 1 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))
(.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 1)
(.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2) (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))) (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))))
(.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (*.f64 b b) 3) 1/8))))
(.f64 -1 (/.f64 -1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))
(.f64 (/.f64 -1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) -1)
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (*.f64 b 1/2))))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))) (neg.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (neg.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2)))))) (-.f64 (+.f64 b -2) (.f64 b (*.f64 b 1/2))))
(.f64 (/.f64 1 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2))) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 b 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) 3))) (+.f64 (.f64 b b) (-.f64 (.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (+.f64 2 (.f64 b (.f64 b 1/2)))) (.f64 b (+.f64 2 (.f64 b (.f64 b 1/2)))))))
(.f64 (/.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2)))))))
(.f64 (/.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))) (sqrt.f64 (+.f64 b (-.f64 2 (.f64 b (*.f64 b 1/2))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))) (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (*.f64 b 1/2))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2)))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))) (cbrt.f64 (+.f64 b (-.f64 2 (.f64 b (*.f64 b 1/2))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))) (-.f64 (.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (-.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (*.f64 b b) 3) 1/8)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))) (+.f64 (pow.f64 (pow.f64 (+.f64 b 2) 3) 3) (pow.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) 3))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (-.f64 (.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) (.f64 (pow.f64 (.f64 b b) 3) 1/8)) (.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))))
(.f64 (/.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))) (-.f64 (.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4)))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(.f64 (/.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))) (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (+.f64 (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4)) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1)
(pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 3)
(pow.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b 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 1/2 (fma.f64 -1/4 b (*.f64 1/16 (pow.f64 b 3))))
(+.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 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 -1/4 b (*.f64 1/16 (pow.f64 b 3)))))
(+.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 (/.f64 2 (*.f64 b b)) (/.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 16 (pow.f64 b 5)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b)))
(-.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 (/.f64 2 b) b) (/.f64 16 (pow.f64 b 5))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6))))
(+.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 (/.f64 2 b) b) (+.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 (/.f64 2 (*.f64 b b)) (/.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 16 (pow.f64 b 5)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b)))
(-.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 (/.f64 2 b) b) (/.f64 16 (pow.f64 b 5))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6))))
(+.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 (/.f64 2 b) b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(*.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))
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(.f64 (/.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) 2) 3) (.f64 (pow.f64 (pow.f64 b 4) 3) 1/64))) (+.f64 (pow.f64 (+.f64 b 2) 4) (.f64 (.f64 (pow.f64 b 4) 1/4) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)))))
(.f64 (/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 6) (.f64 (pow.f64 b 12) -1/64))) (fma.f64 (*.f64 (pow.f64 b 4) 1/4) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (pow.f64 (+.f64 b 2) 4)))
(.f64 (/.f64 (-.f64 2 (.f64 b (+.f64 (.f64 1/2 b) -1))) (+.f64 (pow.f64 (+.f64 b 2) 6) (.f64 (pow.f64 b 12) -1/64))) (fma.f64 (*.f64 (pow.f64 b 4) 1/4) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (pow.f64 (+.f64 b 2) 4)))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1)
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1)
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2) 2)
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 3)
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) 3)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 -1/48 (pow.f64 a 3))

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval556.0ms (8.1%)

Compiler: Compiled 28011 to 22090 computations (21.1% saved)

prune253.0ms (3.7%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1146	2	1148
Fresh	1	3	4
Picked	1	0	1
Done	4	7	11
Total	1152	12	1164

Error

Counts

1164 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	13.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	13.3b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
✓	42.2b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	46.2b	(+.f64 (exp.f64 b) 1)
	56.9b	(+.f64 1 (fabs.f64 (-.f64 -1 (/.f64 -1 (+.f64 b 2)))))
	32.9b	(+.f64 1 -1)
	42.0b	(+.f64 1/2 (*.f64 1/4 a))
✓	43.7b	(+.f64 1/2 (*.f64 -1/4 b))
✓	13.1b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	28.7b	(exp.f64 a)
	42.1b	1/2

Compiler

Compiled 93 to 80 computations (14% saved)

regimes37.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	a
10.0ms	b
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 b)
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.7b	1	`a`
0.7b	1	`b`
0.7b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.7b	1	`(exp.f64 a)`
0.7b	1	`(exp.f64 b)`

Compiler

Compiled 187 to 123 computations (34.2% saved)

regimes33.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
0.8b	1	`a`
0.8b	1	`b`
0.8b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.8b	1	`(exp.f64 a)`
0.8b	1	`(exp.f64 b)`

Compiler

Compiled 159 to 110 computations (30.8% saved)

regimes56.0ms (0.8%)

Counts

18 → 3

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))

Calls

4 calls:

24.0ms	b
17.0ms	a
6.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.7b	2	`a`
0.3b	3	`b`
1.2b	2	`(exp.f64 a)`
0.3b	3	`(exp.f64 b)`

Compiler

Compiled 127 to 95 computations (25.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000351508	1.0000000000777898
0.0ms	6.4279153966780155e-28	0.741323984616698

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes99.0ms (1.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

66.0ms	b
18.0ms	a
7.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.7b	2	`a`
0.3b	3	`b`
1.2b	2	`(exp.f64 a)`
0.3b	3	`(exp.f64 b)`

Compiler

Compiled 122 to 92 computations (24.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000351508	1.0000000000777898
0.0ms	6.4279153966780155e-28	0.741323984616698

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes104.0ms (1.5%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	b
33.0ms	(exp.f64 b)
18.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.7b	2	`a`
10.1b	5	`b`
1.2b	2	`(exp.f64 a)`
13.1b	1	`(exp.f64 b)`

Compiler

Compiled 115 to 89 computations (22.6% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-3332791158647.4683	-7240003328.041183

Results

14.0ms	128×	body	256	valid
3.0ms	34×	body	256	unsamplable

Compiler

Compiled 135 to 122 computations (9.6% saved)

regimes82.0ms (1.2%)

Counts

12 → 6

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	b
28.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
14.1b	4	`a`
11.3b	6	`b`
15.4b	2	`(exp.f64 a)`
14.5b	2	`(exp.f64 b)`

Compiler

Compiled 78 to 59 computations (24.4% saved)

bsearch52.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
11.0ms	1.116733994957326e-207	2.5815962279711893e-207
11.0ms	-1.7225583448568297e-299	-3.3325400160159466e-301
11.0ms	-2.159907269556507e-192	-5.115897022017296e-193
15.0ms	-4.037548189816753e-126	-3.5719696669960564e-132
4.0ms	-0.2993175230382035	-0.2754998418584882

Results

46.0ms

448×

body

256

valid

Compiler

Compiled 401 to 340 computations (15.2% saved)

regimes69.0ms (1%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	b
21.0ms	a
7.0ms	(exp.f64 a)

Results

Error	Segments	Branch
14.1b	4	`a`
12.6b	6	`b`
15.4b	2	`(exp.f64 a)`

Compiler

Compiled 65 to 49 computations (24.6% saved)

bsearch48.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
8.0ms	1.116733994957326e-207	2.5815962279711893e-207
12.0ms	-1.7225583448568297e-299	-3.3325400160159466e-301
10.0ms	-2.159907269556507e-192	-5.115897022017296e-193
15.0ms	-4.037548189816753e-126	-3.5719696669960564e-132
2.0ms	-0.2993175230382035	-0.2754998418584882

Results

41.0ms

448×

body

256

valid

Compiler

Compiled 399 to 338 computations (15.3% saved)

regimes43.0ms (0.6%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	b
11.0ms	a

Results

Error	Segments	Branch
15.4b	2	`a`
22.3b	6	`b`

Compiler

Compiled 59 to 45 computations (23.7% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	-1.4725179357576158e-8	-1.5087593327068613e-9

Results

13.0ms

96×

body

256

valid

Compiler

Compiled 123 to 112 computations (8.9% saved)

regimes43.0ms (0.6%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	b
17.0ms	a

Results

Error	Segments	Branch
22.3b	4	`a`
22.3b	6	`b`

Compiler

Compiled 30 to 24 computations (20% saved)

bsearch61.0ms (0.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
14.0ms	0.007056524379789779	425.6955909302583
9.0ms	1.116733994957326e-207	2.5815962279711893e-207
13.0ms	-1.7225583448568297e-299	-3.3325400160159466e-301
11.0ms	-2.159907269556507e-192	-5.115897022017296e-193
15.0ms	-4.037548189816753e-126	-3.5719696669960564e-132

Results

53.0ms

560×

body

256

valid

Compiler

Compiled 505 to 465 computations (7.9% saved)

regimes34.0ms (0.5%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	b
13.0ms	a

Results

Error	Segments	Branch
22.7b	4	`a`
22.4b	6	`b`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch77.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
15.0ms	0.007056524379789779	425.6955909302583
8.0ms	1.116733994957326e-207	2.5815962279711893e-207
13.0ms	4.417255776878429e-275	3.5951587802904573e-273
2.0ms	-6.9655143154585545e-158	-1.3308491604881188e-171
39.0ms	-4.037548189816753e-126	-3.5719696669960564e-132

Results

69.0ms

480×

body

256

valid

Compiler

Compiled 367 to 349 computations (4.9% saved)

regimes32.0ms (0.5%)

Accuracy

Total -39.7b remaining (-174.6%)

Threshold costs -39.7b (-174.6%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	b
13.0ms	a

Results

Error	Segments	Branch
22.7b	4	`a`
22.7b	6	`b`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch60.0ms (0.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
12.0ms	1.7576625272954246e-25	9.599481324064807e-24
2.0ms	1.116733994957326e-207	2.5815962279711893e-207
12.0ms	4.417255776878429e-275	3.5951587802904573e-273
17.0ms	-6.9655143154585545e-158	-1.3308491604881188e-171
16.0ms	-4.037548189816753e-126	-3.5719696669960564e-132

Results

52.0ms

544×

body

256

valid

Compiler

Compiled 355 to 350 computations (1.4% saved)

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
12×	`not-or`
12×	`if-if-or-not`
10×	`not-not`
10×	`if-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	696
1	144	696
2	153	696
3	162	696
4	170	696
5	177	696
6	181	696
7	183	696
8	184	696

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 348449143727041/348449143727040986586495598010130648530944) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 1125899906898919/1125899906842624) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(if (<=.f64 (exp.f64 b) 348449143727041/348449143727040986586495598010130648530944) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 1125899906898919/1125899906842624) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -7300000000) (+.f64 1 -1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -5224175567749775/18014398509481984) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -6087409673116185/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b -4109481173084667/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (exp.f64 a) (if (<=.f64 b -8444880087084617/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (exp.f64 a) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))))))
(if (<=.f64 b -1261007895663739/4503599627370496) (exp.f64 a) (if (<=.f64 b -8631010391913655/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b -5522115326332521/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (exp.f64 a) (if (<=.f64 b -1025449724860275/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (exp.f64 a) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))))))
(if (<=.f64 a -4382356096103031/302231454903657293676544) (+.f64 1 -1) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))
(if (<=.f64 b -5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b -4417692261066017/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (+.f64 1 -1) (if (<=.f64 b -1025449724860275/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (+.f64 1 -1) (if (<=.f64 b 8070450532247929/72057594037927936) (+.f64 1/2 (*.f64 -1/4 b)) (+.f64 1 -1))))))
(if (<=.f64 b -5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) 1/2 (if (<=.f64 b -6183260036827613/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (+.f64 1 -1) (if (<=.f64 b 5457375846383999/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) 1/2 (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (+.f64 1 -1) (if (<=.f64 b 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 -1/4 b)) (+.f64 1 -1))))))
(if (<=.f64 b -2047867049007291/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) 1/2 (if (<=.f64 b -2671168335909529/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (+.f64 1 -1) (if (<=.f64 b 8648966185117499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) 1/2 (if (<=.f64 b 5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888) (+.f64 1 -1) (if (<=.f64 b 6465364971497831/680564733841876926926749214863536422912) 1/2 (+.f64 1 -1))))))
1/2

Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 348449143727041/348449143727040986586495598010130648530944) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 1125899906898919/1125899906842624) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(if (<=.f64 (exp.f64 b) 348449143727041/348449143727040986586495598010130648530944) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 1125899906898919/1125899906842624) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(if (<=.f64 (exp.f64 b) 348449143727041/348449143727040986586495598010130648530944) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 1125899906898919/1125899906842624) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 348449143727041/348449143727040986586495598010130648530944) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 1125899906898919/1125899906842624) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 a -7300000000) (+.f64 1 -1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -7300000000) 0 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -5224175567749775/18014398509481984) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -6087409673116185/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b -4109481173084667/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (exp.f64 a) (if (<=.f64 b -8444880087084617/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (exp.f64 a) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))))))
(if (<=.f64 b -5224175567749775/18014398509481984) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -6087409673116185/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b -4109481173084667/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (exp.f64 a) (if (<=.f64 b -8444880087084617/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (exp.f64 a) (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))))))
(if (<=.f64 b -5224175567749775/18014398509481984) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -6087409673116185/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b -4109481173084667/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (exp.f64 a) (if (<=.f64 b -8444880087084617/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (exp.f64 a) (+.f64 1 (+.f64 -1 (/.f64 1 (+.f64 b 2)))))))))
(if (<=.f64 b -1261007895663739/4503599627370496) (exp.f64 a) (if (<=.f64 b -8631010391913655/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b -5522115326332521/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (exp.f64 a) (if (<=.f64 b -1025449724860275/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (exp.f64 a) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))))))
(if (<=.f64 b -1261007895663739/4503599627370496) (exp.f64 a) (if (<=.f64 b -8631010391913655/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b -5522115326332521/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (exp.f64 a) (if (<=.f64 b -1025449724860275/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (exp.f64 a) (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))))))
(if (<=.f64 b -1261007895663739/4503599627370496) (exp.f64 a) (if (<=.f64 b -8631010391913655/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b -5522115326332521/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (exp.f64 a) (if (<=.f64 b -1025449724860275/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (exp.f64 a) (+.f64 1 (+.f64 -1 (/.f64 1 (+.f64 b 2)))))))))
(if (<=.f64 a -4382356096103031/302231454903657293676544) (+.f64 1 -1) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))
(if (<=.f64 a -4382356096103031/302231454903657293676544) 0 (+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(if (<=.f64 a -4382356096103031/302231454903657293676544) 0 (+.f64 1 (+.f64 -1 (/.f64 1 (+.f64 b 2)))))
(if (<=.f64 b -5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b -4417692261066017/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (+.f64 1 -1) (if (<=.f64 b -1025449724860275/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (+.f64 1 -1) (if (<=.f64 b 8070450532247929/72057594037927936) (+.f64 1/2 (*.f64 -1/4 b)) (+.f64 1 -1))))))
(if (<=.f64 b -5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b -4417692261066017/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) 0 (if (<=.f64 b -1025449724860275/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) 0 (if (<=.f64 b 8070450532247929/72057594037927936) (+.f64 1/2 (*.f64 b -1/4)) 0)))))
(if (<=.f64 b -5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) 1/2 (if (<=.f64 b -6183260036827613/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (+.f64 1 -1) (if (<=.f64 b 5457375846383999/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) 1/2 (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (+.f64 1 -1) (if (<=.f64 b 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 -1/4 b)) (+.f64 1 -1))))))
(if (<=.f64 b -5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) 1/2 (if (<=.f64 b -6183260036827613/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) 0 (if (<=.f64 b 5457375846383999/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) 1/2 (if (<=.f64 b 6477610257926561/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) 0 (if (<=.f64 b 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 b -1/4)) 0)))))
(if (<=.f64 b -2047867049007291/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) 1/2 (if (<=.f64 b -2671168335909529/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (+.f64 1 -1) (if (<=.f64 b 8648966185117499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) 1/2 (if (<=.f64 b 5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888) (+.f64 1 -1) (if (<=.f64 b 6465364971497831/680564733841876926926749214863536422912) 1/2 (+.f64 1 -1))))))
(if (<=.f64 b -2047867049007291/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) 1/2 (if (<=.f64 b -2671168335909529/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) 0 (if (<=.f64 b 8648966185117499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) 1/2 (if (<=.f64 b 5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888) 0 (if (<=.f64 b 6465364971497831/680564733841876926926749214863536422912) 1/2 0)))))
1/2

Compiler

Compiled 306 to 231 computations (24.5% saved)

soundness155.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

998×	`associate-/l*`
998×	`associate-/l*`
974×	`associate-r`
974×	`associate-r`
862×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	827	23321
1	2284	23113
0	827	23321
1	2284	23113

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 44 to 34 computations (22.7% saved)

end127.0ms (1.8%)

Compiler: Compiled 284 to 198 computations (30.3% saved)

Iter	Nodes	Cost
0	117	696
1	144	696
2	153	696
3	162	696
4	170	696
5	177	696
6	181	696
7	183	696
8	184	696

Iter	Nodes	Cost
0	117	696
1	144	696
2	153	696
3	162	696
4	170	696
5	177	696
6	181	696
7	183	696
8	184	696

Iter	Nodes	Cost
0	117	696
1	144	696
2	153	696
3	162	696
4	170	696
5	177	696
6	181	696
7	183	696
8	184	696