Details

analyze22.0ms (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)

sample1.1s (16%)

Results

1.1s	8256×	body	256	valid
28.0ms	216×	body	256	unsamplable

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	10	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

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))
✓	0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (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)))
1.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	b	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite82.0ms (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))))))

simplify124.0ms (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)))
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(/.f64 (-.f64 (pow.f64 (exp.f64 a) 4) (pow.f64 (exp.f64 b) 4)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) 3) (pow.f64 (pow.f64 (exp.f64 b) 2) 3)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (pow.f64 (exp.f64 b) 2) (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) 3) (pow.f64 (pow.f64 (exp.f64 b) 2) 3)) (-.f64 (exp.f64 a) (exp.f64 b))) (fma.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3) (*.f64 (pow.f64 (exp.f64 b) 2) (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 6) (pow.f64 (exp.f64 b) 6)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (pow.f64 (exp.f64 b) 2) (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (pow.f64 (exp.f64 a) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 b) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) (-.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 6) (pow.f64 (exp.f64 b) 6)) (.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (-.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 6) (pow.f64 (exp.f64 b) 6)) (-.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 3) 3) (pow.f64 (pow.f64 (exp.f64 b) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) (+.f64 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (.f64 (pow.f64 (exp.f64 b) 3) (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 3) 3) (pow.f64 (pow.f64 (exp.f64 b) 3) 3)) (.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 6) (*.f64 (pow.f64 (exp.f64 b) 3) (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 3) 3) (pow.f64 (pow.f64 (exp.f64 b) 3) 3)) (*.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (fma.f64 (pow.f64 (exp.f64 b) 3) (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (pow.f64 (exp.f64 a) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) 1) (-.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (*.f64 (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (+.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b)))) (-.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (*.f64 (-.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b))) (+.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 a)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (+.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) 1) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (exp.f64 b) (exp.f64 a))
(neg.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2))
(fabs.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

eval92.0ms (1.3%)

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

prune44.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	259	7	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	260	7	267

Error

Counts

267 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.1b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	19.9b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	14.3b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	20.7b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
▶	0.8b	(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
	0.9b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	0.8b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 168 to 114 computations (32.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	0.7b	(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))

Compiler

Compiled 31 to 11 computations (64.5% saved)

series6.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`*-commutative`
920×	`associate-*r/`
638×	`associate-*l/`
584×	`swap-sqr`
578×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	221	46
2	2789	46

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

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

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

simplify115.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-/r/`
734×	`+-commutative`
598×	`associate-/l*`
492×	`associate-r`
474×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	493	10106
1	1367	9714
2	5321	9622

Stop Event

1×	node limit

Counts

178 → 272

Calls

Call 1

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

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

localize10.0ms (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)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite58.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 103

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite64.0ms (0.9%)

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)))))

simplify62.0ms (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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	b	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms	b	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1058×	`associate-*l/`
1022×	`*-commutative`
892×	`associate-/r*`
660×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	214	44
2	2974	44

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

Outputs

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

simplify117.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1168×	`associate-+l+`
1136×	`associate-+r+`
986×	`+-commutative`
450×	`associate-/l*`
444×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	462	10345
1	1366	9659
2	5788	9659

Stop Event

1×	node limit

Counts

203 → 270

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.7b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	4.2b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series98.0ms (1.4%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
26.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	inf	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite115.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 295

Calls

Call 1

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

simplify153.0ms (2.2%)

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

eval494.0ms (7%)

Compiler: Compiled 39549 to 17167 computations (56.6% saved)

prune401.0ms (5.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1528	9	1537
Fresh	2	0	2
Picked	1	0	1
Done	1	3	4
Total	1532	12	1544

Error

Counts

1544 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.1b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	19.9b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	34.7b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	41.1b	(/.f64 1 (+.f64 b 2))
✓	14.3b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	39.9b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	39.8b	(+.f64 1/2 (*.f64 1/4 a))
▶	40.9b	(+.f64 1/2 (*.f64 -1/4 b))
▶	21.1b	(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a))
▶	19.9b	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
▶	29.2b	(exp.f64 a)
	39.9b	1/2

Compiler

Compiled 175 to 137 computations (21.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series57.0ms (0.8%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
10.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
3.0ms	a	@	-inf	(-.f64 a (log1p.f64 (exp.f64 a)))
2.0ms	a	@	inf	(-.f64 a (log1p.f64 (exp.f64 a)))
1.0ms	a	@	0	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

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

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

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

114 → 134

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize38.0ms (0.5%)

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))

rewrite50.0ms (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))))))))

simplify69.0ms (1%)

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)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`associate-*r/`
1068×	`*-commutative`
1050×	`associate-*l/`
674×	`associate-/r*`
450×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	235	50
2	3166	50

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

simplify115.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

858×	`associate-+l+`
832×	`+-commutative`
800×	`associate-+r+`
740×	`associate-/l*`
532×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	9461
1	1393	8991
2	6170	8991

Stop Event

1×	node limit

Counts

185 → 281

Calls

Call 1

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

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

eval224.0ms (3.2%)

Compiler: Compiled 14017 to 8086 computations (42.3% saved)

prune118.0ms (1.7%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	622	5	627
Fresh	2	2	4
Picked	0	1	1
Done	0	7	7
Total	624	15	639

Error

Counts

639 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.1b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	19.9b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	34.7b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
✓	41.1b	(/.f64 1 (+.f64 b 2))
✓	14.3b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	62.0b	(/.f64 1 b)
▶	62.7b	(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
▶	26.7b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
	39.9b	(+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) -1/48)))
▶	39.8b	(+.f64 1/2 (*.f64 a 1/4))
✓	40.9b	(+.f64 1/2 (*.f64 -1/4 b))
✓	21.1b	(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a))
✓	19.9b	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
✓	29.2b	(exp.f64 a)
	39.9b	1/2

Compiler

Compiled 190 to 151 computations (20.5% saved)

localize40.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 1 (+.f64 b 2)))
	0.0b	(/.f64 1 (+.f64 b 2))
✓	3.3b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite104.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 222

Calls

Call 1

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

Outputs

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

simplify193.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

246 → 399

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 14 computations (44% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite107.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`associate-/r*`
880×	`*-commutative`
746×	`unswap-sqr`
518×	`associate-/l*`
490×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	203	32
2	2833	32

Stop Event

1×	node limit

Counts

2 → 216

Calls

Call 1

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

Outputs

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

simplify157.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

978×	`+-commutative`
652×	`associate-r`
616×	`associate-/r*`
602×	`*-commutative`
592×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	556	11120
1	1580	9696
2	6511	9276

Stop Event

1×	node limit

Counts

240 → 354

Calls

Call 1

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

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

localize38.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 b b))
✓	0.0b	(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
✓	0.3b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite123.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

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

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

simplify217.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

250 → 367

Calls

Call 1

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

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

eval634.0ms (8.9%)

Compiler: Compiled 29713 to 23196 computations (21.9% saved)

prune258.0ms (3.6%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1181	2	1183
Fresh	0	2	2
Picked	1	0	1
Done	4	8	12
Total	1186	12	1198

Error

Counts

1198 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.1b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	19.9b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	14.3b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	40.9b	(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
	33.4b	(-.f64 1 1)
	39.9b	(+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) -1/48)))
✓	39.8b	(+.f64 1/2 (*.f64 a 1/4))
✓	40.9b	(+.f64 1/2 (*.f64 -1/4 b))
✓	21.1b	(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a))
✓	19.9b	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
✓	29.2b	(exp.f64 a)
	39.9b	1/2

Compiler

Compiled 97 to 77 computations (20.6% saved)

regimes40.0ms (0.6%)

Counts

24 → 1

Calls

Call 1

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

Calls

5 calls:

12.0ms	a
12.0ms	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
0.8b	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 208 to 127 computations (38.9% saved)

regimes36.0ms (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 1/2 (*.f64 a 1/4))
(/.f64 1 (+.f64 b 2))
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(exp.f64 a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) -1/48)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

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

Calls

5 calls:

11.0ms	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 160 to 109 computations (31.9% saved)

regimes63.0ms (0.9%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	b
19.0ms	a
7.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.2b	2	`a`
0.0b	3	`b`
1.3b	2	`(exp.f64 a)`
0.0b	3	`(exp.f64 b)`

Compiler

Compiled 142 to 101 computations (28.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000008311
0.0ms	0.9999997322104427	0.9999999999720047

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes66.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	b
18.0ms	a
7.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.2b	2	`a`
0.0b	3	`b`
1.3b	2	`(exp.f64 a)`
0.0b	3	`(exp.f64 b)`

Compiler

Compiled 125 to 92 computations (26.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000008311
0.0ms	0.9999997322104427	0.9999999999720047

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes56.0ms (0.8%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	b
17.0ms	a
7.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.2b	2	`a`
0.1b	3	`b`
1.3b	2	`(exp.f64 a)`
0.1b	3	`(exp.f64 b)`

Compiler

Compiled 116 to 88 computations (24.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000008311
0.0ms	0.9999997322104427	0.9999999999720047

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes67.0ms (0.9%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	b
15.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.2b	2	`a`
11.3b	5	`b`
1.5b	2	`(exp.f64 a)`
14.3b	1	`(exp.f64 b)`

Compiler

Compiled 109 to 85 computations (22% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	-3134485488.890141	-359346874.12047714

Results

10.0ms	96×	body	256	valid
0.0ms	6×	body	256	unsamplable

Compiler

Compiled 105 to 94 computations (10.5% saved)

regimes61.0ms (0.9%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	a
25.0ms	b
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
11.8b	4	`a`
14.4b	3	`b`
12.8b	2	`(exp.f64 a)`

Compiler

Compiled 77 to 59 computations (23.4% saved)

bsearch35.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
11.0ms	-2.906854757962882e-100	-4.24200911505912e-101
10.0ms	-9.224580541038539e-67	-1.0939941999857653e-67
13.0ms	-2.7034709579106126e-8	-1.7520876514342698e-10

Results

31.0ms

304×

body

256

valid

Compiler

Compiled 338 to 295 computations (12.7% saved)

regimes42.0ms (0.6%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	b
15.0ms	a

Results

Error	Segments	Branch
13.2b	2	`a`
22.3b	4	`b`

Compiler

Compiled 71 to 55 computations (22.5% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	-2024.3811376020283	-27.32584438642478

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 141 to 129 computations (8.5% saved)

regimes32.0ms (0.5%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	b
11.0ms	a

Results

Error	Segments	Branch
20.4b	2	`a`
22.3b	4	`b`

Compiler

Compiled 42 to 34 computations (19% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	-27.32584438642478	-0.0006781904792240728

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 127 to 114 computations (10.2% saved)

regimes24.0ms (0.3%)

Accuracy

Total -41.8b remaining (-200.4%)

Threshold costs -41.8b (-200.4%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
1/2

Calls

2 calls:

16.0ms	b
7.0ms	a

Results

Error	Segments	Branch
20.8b	2	`a`
22.6b	4	`b`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	-2024.3811376020283	-27.32584438642478

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 85 to 80 computations (5.9% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	453
1	90	453
2	94	453
3	97	451
4	98	451
5	99	451

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 9007197453301141/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (*.f64 (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 9007197453301141/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 9007197453301141/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -360000000) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -8160249282398747/302231454903657293676544) (exp.f64 a) (if (<=.f64 a -834740539628243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) (if (<=.f64 a -5713290898477199/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))))
(if (<=.f64 a -360) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 a -3602879701896397/36028797018963968) (-.f64 1 1) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -36) (-.f64 1 1) 1/2)
1/2

Outputs
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 9007197453301141/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (*.f64 (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 9007197453301141/9007199254740992) (not (<=.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))))
(if (<=.f64 (exp.f64 b) 9007197453301141/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 9007197453301141/9007199254740992) (not (<=.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 b) 9007197453301141/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 9007197453301141/9007199254740992) (not (<=.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(if (<=.f64 a -360000000) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -360000000) 0 (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -8160249282398747/302231454903657293676544) (exp.f64 a) (if (<=.f64 a -834740539628243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) (if (<=.f64 a -5713290898477199/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))))
(if (<=.f64 a -8160249282398747/302231454903657293676544) (exp.f64 a) (if (or (<=.f64 a -834740539628243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (not (<=.f64 a -5713290898477199/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1) (exp.f64 a)))
(if (or (<=.f64 a -8160249282398747/302231454903657293676544) (and (not (<=.f64 a -834740539628243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696)) (<=.f64 a -5713290898477199/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408))) (exp.f64 a) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 a -360) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 a -360) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 a -3602879701896397/36028797018963968) (-.f64 1 1) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -3602879701896397/36028797018963968) 0 (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 a -36) (-.f64 1 1) 1/2)
(if (<=.f64 a -36) 0 1/2)
1/2

Compiler

Compiled 184 to 138 computations (25% saved)

soundness91.0ms (1.3%)

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

Compiler

Compiled 46 to 27 computations (41.3% saved)

end86.0ms (1.2%)

Compiler: Compiled 164 to 107 computations (34.8% saved)