Details

analyze21.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample785.0ms (12.7%)

Results

756.0ms	8256×	body	256	valid
16.0ms	194×	body	256	unsamplable

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	10	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.8b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite83.0ms (1.3%)

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))))))

simplify117.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

191 → 266

Calls

Call 1

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

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

eval81.0ms (1.3%)

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

prune43.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	262	4	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	263	4	267

Error

0.6b

Counts

267 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.1b	(/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))))
▶	23.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	10.7b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	0.7b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 51 to 39 computations (23.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	1.0b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	4.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series90.0ms (1.4%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
15.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite209.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 295

Calls

Call 1

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

Outputs
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Outputs

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simplify439.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	827	23321
1	2284	23113

Stop Event

1×	node limit

Counts

331 → 493

Calls

Call 1

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

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

localize6.0ms (0.1%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite58.0ms (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)))))

simplify64.0ms (1%)

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)

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (pow.f64 a 2))
✓	0.3b	(*.f64 1/6 (pow.f64 a 3))
✓	2.8b	(+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))
✓	4.3b	(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))

Compiler

Compiled 98 to 67 computations (31.6% saved)

series4.0ms (0.1%)

Counts

4 → 20

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
0.0ms	a	@	-inf	(*.f64 1/6 (pow.f64 a 3))
0.0ms	a	@	inf	(+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))
0.0ms	a	@	inf	(*.f64 1/6 (pow.f64 a 3))
0.0ms	b	@	0	(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))

rewrite104.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`associate-+l+`
572×	`associate-+r+`
506×	`associate-/r*`
456×	`+-commutative`
422×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	90
1	427	90
2	5558	90

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 b))) (-.f64 1 (.f64 1/6 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (pow.f64 a 3)))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/36 (pow.f64 a 6)) (-.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 (log1p.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 b) (exp.f64 (log1p.f64 (.f64 1/6 (pow.f64 a 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 1)))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (.f64 1/6 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) 1/6 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (.f64 1/6 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) (.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) (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)) (.f64 1/6 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 a (cbrt.f64 1/6)) 2) (.f64 a (cbrt.f64 1/6)) (exp.f64 b))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (pow.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/216 (pow.f64 (pow.f64 a 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/36 (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/216 (pow.f64 (pow.f64 a 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 a 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 a 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 1/2 (.f64 a a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/2 (.f64 a a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/8 (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 a 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/8 (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/2 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/2 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/2 (.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/2 (.f64 a a))))))))

simplify102.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-+r-`
1014×	`associate-+l-`
988×	`associate--r+`
898×	`*-commutative`
814×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	8159
1	1013	7619
2	4344	7549

Stop Event

1×	node limit

Counts

155 → 236

Calls

Call 1

Inputs
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(*.f64 1/6 (pow.f64 a 3))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 1/6 (pow.f64 a 3)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 a (.f64 1/6 (pow.f64 a 3))))
(*.f64 1/6 (pow.f64 a 3))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 1/6 (pow.f64 a 3)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 a (.f64 1/6 (pow.f64 a 3))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/6 (pow.f64 a 3))))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 1/2 (pow.f64 b 2))))))))
(exp.f64 b)
(*.f64 1/6 (pow.f64 a 3))
(*.f64 1/6 (pow.f64 a 3))
(+.f64 1 (*.f64 1/6 (pow.f64 a 3)))
(+.f64 1 (+.f64 b (*.f64 1/6 (pow.f64 a 3))))
(+.f64 1 (+.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 b 2))))))
(-.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)) (-.f64 1 (fma.f64 1/2 (*.f64 a a) 1)))
(-.f64 (fma.f64 1/2 (*.f64 a a) 1) (-.f64 1 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) 1))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)))) (-.f64 1 (.f64 1/2 (.f64 a a))))
(-.f64 (/.f64 1 (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (-.f64 (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (.f64 1/2 (.f64 a a))))
(-.f64 (/.f64 (.f64 a a) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (-.f64 (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (fma.f64 1/2 (.f64 a a) 1)))
(-.f64 (/.f64 (.f64 (pow.f64 a 4) 1/4) (-.f64 (.f64 1/2 (.f64 a a)) (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)))) (/.f64 (pow.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)) 2) (-.f64 (.f64 1/2 (*.f64 a a)) (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)))))
(-.f64 (+.f64 2 (+.f64 a (+.f64 (.f64 1/2 (.f64 a a)) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 a a)) (exp.f64 (log1p.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1))))) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 a a)) (/.f64 1 (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(-.f64 (+.f64 (fma.f64 1/2 (.f64 a a) 1) (/.f64 (.f64 a a) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(-.f64 (+.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) 1)) (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) 1)
(-.f64 (+.f64 (+.f64 a (fma.f64 1/2 (.f64 a a) 1)) (/.f64 (.f64 1/36 (pow.f64 a 6)) (-.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))
(-.f64 (+.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) 1)) (+.f64 a 1)) 1)
(-.f64 (+.f64 (+.f64 (+.f64 a (.f64 1/6 (pow.f64 a 3))) (fma.f64 1/2 (.f64 a a) 1)) (exp.f64 (log1p.f64 (exp.f64 b)))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) 1) (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1))) 1)
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(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(fma.f64 (pow.f64 a 3) 1/6 (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (*.f64 1/6 (pow.f64 a 3)))
(fma.f64 (.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) (.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (*.f64 1/6 (pow.f64 a 3)))
(fma.f64 (pow.f64 (.f64 a (cbrt.f64 1/6)) 2) (.f64 a (cbrt.f64 1/6)) (exp.f64 b))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 a 3)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 a 3)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) 2)
(pow.f64 (*.f64 a (cbrt.f64 1/6)) 3)
(pow.f64 (*.f64 1/216 (pow.f64 (pow.f64 a 3) 3)) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 a 6)))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 a 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 a 3)))))
(cbrt.f64 (*.f64 1/216 (pow.f64 (pow.f64 a 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 a 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 a 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 a 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 a 3))))
(+.f64 (.f64 1/2 (.f64 a a)) 0)
(+.f64 1 (-.f64 (.f64 1/2 (.f64 a a)) 1))
(-.f64 (fma.f64 1/2 (*.f64 a a) 1) 1)
(pow.f64 (.f64 1/2 (.f64 a a)) 1)
(pow.f64 (*.f64 a (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 a a))) 3)
(pow.f64 (*.f64 1/8 (pow.f64 a 6)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 a 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 a a)))))
(cbrt.f64 (*.f64 1/8 (pow.f64 a 6)))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 a a))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 a a))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 a a))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 a a))))

Outputs
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (+.f64 1 a) (exp.f64 b))
(+.f64 (exp.f64 b) (+.f64 1 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b)))
(+.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) 1)) (exp.f64 b))
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) a) 1) (exp.f64 b))
(*.f64 1/6 (pow.f64 a 3))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 1/6 (pow.f64 a 3)))
(fma.f64 1/2 (.f64 a a) (.f64 1/6 (pow.f64 a 3)))
(fma.f64 1/6 (pow.f64 a 3) (.f64 1/2 (.f64 a a)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 a (.f64 1/6 (pow.f64 a 3))))
(fma.f64 1/2 (.f64 a a) (+.f64 a (.f64 1/6 (pow.f64 a 3))))
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/6 (pow.f64 a 3) a))
(*.f64 1/6 (pow.f64 a 3))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 1/6 (pow.f64 a 3)))
(fma.f64 1/2 (.f64 a a) (.f64 1/6 (pow.f64 a 3)))
(fma.f64 1/6 (pow.f64 a 3) (.f64 1/2 (.f64 a a)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 a (.f64 1/6 (pow.f64 a 3))))
(fma.f64 1/2 (.f64 a a) (+.f64 a (.f64 1/6 (pow.f64 a 3))))
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/6 (pow.f64 a 3) 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 1/6 (pow.f64 a 3)))))
(+.f64 2 (fma.f64 1/2 (*.f64 a a) (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/6 (pow.f64 a 3))))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 (+.f64 a b) (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (+.f64 b (fma.f64 1/6 (pow.f64 a 3) a)) (fma.f64 1/2 (*.f64 a a) 2))
(fma.f64 1/2 (*.f64 a a) (+.f64 (fma.f64 1/6 (pow.f64 a 3) b) (+.f64 a 2)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 b 2)))))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 (+.f64 a b) (fma.f64 1/6 (pow.f64 a 3) (.f64 1/2 (*.f64 b b))))))
(+.f64 (+.f64 (fma.f64 1/2 (.f64 a a) 2) (+.f64 b a)) (fma.f64 1/6 (pow.f64 a 3) (.f64 (*.f64 1/2 b) b)))
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) b) (+.f64 (.f64 b (.f64 b 1/2)) a)) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 1/2 (pow.f64 b 2))))))))
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 (+.f64 a b) (fma.f64 1/6 (pow.f64 a 3) (.f64 1/2 (*.f64 b b)))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 (fma.f64 1/2 (.f64 a a) 2) (+.f64 b a)) (fma.f64 1/6 (pow.f64 a 3) (.f64 (*.f64 1/2 b) b))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) b) (+.f64 (.f64 b (.f64 b 1/2)) a)) (fma.f64 1/2 (*.f64 a a) 2)))
(exp.f64 b)
(*.f64 1/6 (pow.f64 a 3))
(*.f64 1/6 (pow.f64 a 3))
(+.f64 1 (*.f64 1/6 (pow.f64 a 3)))
(fma.f64 1/6 (pow.f64 a 3) 1)
(+.f64 1 (+.f64 b (*.f64 1/6 (pow.f64 a 3))))
(+.f64 (+.f64 1 b) (*.f64 1/6 (pow.f64 a 3)))
(+.f64 b (fma.f64 1/6 (pow.f64 a 3) 1))
(+.f64 1 (fma.f64 1/6 (pow.f64 a 3) b))
(+.f64 1 (+.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 1/2 (pow.f64 b 2)))))
(+.f64 (+.f64 1 b) (fma.f64 1/6 (pow.f64 a 3) (.f64 1/2 (.f64 b b))))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) b) (+.f64 (.f64 (.f64 1/2 b) b) 1))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) b) (+.f64 (.f64 b (.f64 b 1/2)) 1))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 1 b) (fma.f64 1/6 (pow.f64 a 3) (.f64 1/2 (.f64 b b)))))
(+.f64 (+.f64 b (fma.f64 1/6 (pow.f64 a 3) (.f64 (.f64 1/2 b) b))) (fma.f64 1/6 (pow.f64 b 3) 1))
(+.f64 (+.f64 b (fma.f64 1/6 (pow.f64 a 3) (.f64 b (.f64 b 1/2)))) (fma.f64 1/6 (pow.f64 b 3) 1))
(-.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)) (-.f64 1 (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (-.f64 (+.f64 1 a) (-.f64 1 (fma.f64 1/2 (*.f64 a a) 1))))
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (fma.f64 1/2 (*.f64 a a) 1)) (exp.f64 b)))
(+.f64 1 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) a)))
(-.f64 (fma.f64 1/2 (*.f64 a a) 1) (-.f64 1 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1))))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (-.f64 (+.f64 1 a) (-.f64 1 (fma.f64 1/2 (*.f64 a a) 1))))
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (fma.f64 1/2 (*.f64 a a) 1)) (exp.f64 b)))
(+.f64 1 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) 1))))) 1)
(+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (-.f64 (+.f64 1 a) (-.f64 1 (fma.f64 1/2 (*.f64 a a) 1))))
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (fma.f64 1/2 (*.f64 a a) 1)) (exp.f64 b)))
(+.f64 1 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)))) (-.f64 1 (.f64 1/2 (.f64 a a))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 1 a)))) 1) (.f64 1/2 (.f64 a a)))
(fma.f64 1/2 (*.f64 a a) (expm1.f64 (log1p.f64 (+.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))))
(fma.f64 1/2 (*.f64 a a) (expm1.f64 (log1p.f64 (+.f64 a (+.f64 1 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))))
(-.f64 (/.f64 1 (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (-.f64 (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (.f64 1/2 (.f64 a a))))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))) (.f64 1/2 (.f64 a a)))
(fma.f64 1/2 (*.f64 a a) (-.f64 (/.f64 1 (-.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))))
(-.f64 (fma.f64 1/2 (*.f64 a a) (/.f64 1 (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(-.f64 (/.f64 (.f64 a a) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (-.f64 (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (fma.f64 1/2 (.f64 a a) 1)))
(+.f64 (-.f64 (/.f64 a (/.f64 (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) a)) (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (/.f64 (.f64 a a) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))))
(+.f64 (/.f64 a (/.f64 (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) a)) (-.f64 (fma.f64 1/2 (*.f64 a a) 1) (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))))
(-.f64 (/.f64 (.f64 (pow.f64 a 4) 1/4) (-.f64 (.f64 1/2 (.f64 a a)) (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)))) (/.f64 (pow.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)) 2) (-.f64 (.f64 1/2 (*.f64 a a)) (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1)))))
(/.f64 (-.f64 (.f64 (pow.f64 a 4) 1/4) (pow.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 1 a)) 2)) (-.f64 (.f64 1/2 (*.f64 a a)) (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 1 a))))
(/.f64 (-.f64 (.f64 (pow.f64 a 4) 1/4) (pow.f64 (+.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) 2)) (-.f64 (.f64 1/2 (*.f64 a a)) (+.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))))
(/.f64 (-.f64 (.f64 (pow.f64 a 4) 1/4) (pow.f64 (+.f64 a (+.f64 1 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) 2)) (-.f64 (fma.f64 1/2 (.f64 a a) -1) (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(-.f64 (+.f64 2 (+.f64 a (+.f64 (.f64 1/2 (.f64 a a)) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) 1)
(+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (-.f64 (+.f64 1 a) (-.f64 1 (fma.f64 1/2 (*.f64 a a) 1))))
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (fma.f64 1/2 (*.f64 a a) 1)) (exp.f64 b)))
(+.f64 1 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) a)))
(-.f64 (+.f64 (.f64 1/2 (.f64 a a)) (exp.f64 (log1p.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a 1))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 1 a)))) 1) (.f64 1/2 (.f64 a a)))
(fma.f64 1/2 (*.f64 a a) (expm1.f64 (log1p.f64 (+.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))))
(fma.f64 1/2 (*.f64 a a) (expm1.f64 (log1p.f64 (+.f64 a (+.f64 1 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 a a)) (/.f64 1 (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))) (.f64 1/2 (.f64 a a)))
(fma.f64 1/2 (*.f64 a a) (-.f64 (/.f64 1 (-.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))))
(-.f64 (fma.f64 1/2 (*.f64 a a) (/.f64 1 (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2) (-.f64 (-.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(-.f64 (+.f64 (fma.f64 1/2 (.f64 a a) 1) (/.f64 (.f64 a a) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (-.f64 (/.f64 a (/.f64 (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) a)) (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (/.f64 (.f64 a a) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))))
(+.f64 (/.f64 a (/.f64 (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) a)) (-.f64 (fma.f64 1/2 (*.f64 a a) 1) (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2) (-.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))))
(-.f64 (+.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) 1)) (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))) 1)
(+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (-.f64 (+.f64 1 a) (-.f64 1 (fma.f64 1/2 (*.f64 a a) 1))))
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (fma.f64 1/2 (*.f64 a a) 1)) (exp.f64 b)))
(+.f64 1 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) a)))
(-.f64 (+.f64 (+.f64 a (fma.f64 1/2 (.f64 a a) 1)) (/.f64 (.f64 1/36 (pow.f64 a 6)) (-.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))
(+.f64 (+.f64 a (fma.f64 1/2 (.f64 a a) 1)) (/.f64 (-.f64 (.f64 1/36 (pow.f64 a 6)) (pow.f64 (exp.f64 b) 2)) (-.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))
(+.f64 a (+.f64 (fma.f64 1/2 (.f64 a a) 1) (/.f64 (-.f64 (.f64 1/36 (pow.f64 a 6)) (exp.f64 (+.f64 b b))) (-.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 a (+.f64 (fma.f64 1/2 (.f64 a a) 1) (/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (.f64 1/36 (pow.f64 a 6))) (+.f64 (exp.f64 b) (*.f64 (pow.f64 a 3) -1/6)))))
(-.f64 (+.f64 (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 1/2 (*.f64 a a) 1)) (+.f64 a 1)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (-.f64 (+.f64 1 a) (-.f64 1 (fma.f64 1/2 (*.f64 a a) 1))))
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(/.f64 (/.f64 (+.f64 (.f64 1/216 (pow.f64 (pow.f64 a 3) 3)) (pow.f64 (exp.f64 b) 3)) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 a 6)) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (.f64 1/6 (pow.f64 a 3))))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 a 6)) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (*.f64 1/6 (pow.f64 a 3)))))))
(.f64 (fma.f64 1/216 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 1/36 (pow.f64 a 6) (.f64 (exp.f64 b) (+.f64 (exp.f64 b) (*.f64 -1/6 (pow.f64 a 3)))))))
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (.f64 (pow.f64 a 3) -1/6)) (.f64 1/36 (pow.f64 a 6))))
(/.f64 (/.f64 (+.f64 (.f64 1/216 (pow.f64 (pow.f64 a 3) 3)) (pow.f64 (exp.f64 b) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 a 6)) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (.f64 1/6 (pow.f64 a 3)))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 a 6)) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (.f64 1/6 (pow.f64 a 3)))))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 a 6)) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (*.f64 1/6 (pow.f64 a 3)))))))
(.f64 (fma.f64 1/216 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 1/36 (pow.f64 a 6) (.f64 (exp.f64 b) (+.f64 (exp.f64 b) (*.f64 -1/6 (pow.f64 a 3)))))))
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (.f64 (pow.f64 a 3) -1/6)) (.f64 1/36 (pow.f64 a 6))))
(pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 1)
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 2)
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 3)
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 3) 1/3)
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 2))
(fabs.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) 3))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) 1))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(fma.f64 1 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (*.f64 1/6 (pow.f64 a 3)))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(fma.f64 (pow.f64 a 3) 1/6 (exp.f64 b))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (*.f64 1/6 (pow.f64 a 3)))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(fma.f64 (.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) (.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) (exp.f64 b))
(+.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) 2) (exp.f64 b))
(+.f64 (exp.f64 b) (pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (*.f64 1/6 (pow.f64 a 3)))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(fma.f64 (pow.f64 (.f64 a (cbrt.f64 1/6)) 2) (.f64 a (cbrt.f64 1/6)) (exp.f64 b))
(fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 a 3)))) 1)
(*.f64 1/6 (pow.f64 a 3))
(pow.f64 (*.f64 1/6 (pow.f64 a 3)) 1)
(*.f64 1/6 (pow.f64 a 3))
(pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 a 3/2)) 2)
(pow.f64 (*.f64 a (cbrt.f64 1/6)) 3)
(*.f64 1/6 (pow.f64 a 3))
(pow.f64 (*.f64 1/216 (pow.f64 (pow.f64 a 3) 3)) 1/3)
(cbrt.f64 (*.f64 1/216 (pow.f64 (pow.f64 a 3) 3)))
(sqrt.f64 (*.f64 1/36 (pow.f64 a 6)))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 a 3)))
(*.f64 1/6 (pow.f64 a 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 a 3)))))
(*.f64 1/6 (pow.f64 a 3))
(cbrt.f64 (*.f64 1/216 (pow.f64 (pow.f64 a 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 a 3))))
(*.f64 1/6 (pow.f64 a 3))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 a 3))))
(*.f64 1/6 (pow.f64 a 3))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 a 3))) 1))
(*.f64 1/6 (pow.f64 a 3))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 a 3))))
(*.f64 1/6 (pow.f64 a 3))
(+.f64 (.f64 1/2 (.f64 a a)) 0)
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))
(+.f64 1 (-.f64 (.f64 1/2 (.f64 a a)) 1))
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))
(-.f64 (fma.f64 1/2 (*.f64 a a) 1) 1)
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))
(pow.f64 (.f64 1/2 (.f64 a a)) 1)
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))
(pow.f64 (*.f64 a (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 a a))) 3)
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))
(pow.f64 (*.f64 1/8 (pow.f64 a 6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 a 6) 1/8))
(sqrt.f64 (*.f64 (pow.f64 a 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) 1/2))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) a)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 a a)))))
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))
(cbrt.f64 (*.f64 1/8 (pow.f64 a 6)))
(cbrt.f64 (*.f64 (pow.f64 a 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 a a))))
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))
(exp.f64 (log.f64 (.f64 1/2 (.f64 a a))))
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 a a))) 1))
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 a a))))
(.f64 1/2 (.f64 a a))
(.f64 a (.f64 a 1/2))

eval496.0ms (8%)

Compiler: Compiled 26890 to 12074 computations (55.1% saved)

prune272.0ms (4.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	972	5	977
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	974	7	981

Error

0.6b

Counts

981 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	10.7b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	38.2b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
▶	38.1b	(+.f64 1/2 (*.f64 1/4 a))
▶	23.3b	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
▶	29.1b	(exp.f64 a)
	38.2b	1/2

Compiler

Compiled 52 to 42 computations (19.2% saved)

localize3.0ms (0%)

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
✓	0.7b	(log1p.f64 (exp.f64 a))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series31.0ms (0.5%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
14.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
0.0ms	a	@	0	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
0.0ms	a	@	0	(log1p.f64 (exp.f64 a))
0.0ms	a	@	-inf	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))

rewrite60.0ms (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	28
1	163	28
2	2066	28

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1504×	`associate-/l*`
1358×	`associate-/r*`
792×	`*-commutative`
736×	`associate-+r+`
644×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1400
1	290	1036
2	1231	1008
3	3933	1008

Stop Event

1×	node limit

Counts

62 → 74

Calls

Call 1

Inputs
(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 (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
(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)))
(fma.f64 a 1/2 (fma.f64 a (*.f64 a 1/8) (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 -1/192 (pow.f64 a 4) (.f64 (.f64 1/8 a) a)))
(fma.f64 a 1/2 (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(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 (exp.f64 (neg.f64 (log.f64 2))) (.f64 (.f64 1/2 a) (exp.f64 (neg.f64 (log.f64 2)))))
(+.f64 1/2 (*.f64 a 1/4))
(fma.f64 a 1/4 1/2)
(+.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)))))))
(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 (*.f64 1/2 a) (exp.f64 (neg.f64 (log.f64 2))))))
(+.f64 (+.f64 1/2 (.f64 a 1/4)) (.f64 (pow.f64 a 3) -1/48))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2))
(+.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))))))))
(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 1/2 (.f64 a 1/4)) (+.f64 (.f64 (pow.f64 a 5) 1/480) (*.f64 (pow.f64 a 3) -1/48)))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 (pow.f64 a 5) 1/480 (fma.f64 a 1/4 1/2)))
(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 (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))
(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))))
(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 a)) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.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 (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))))
(pow.f64 (E.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)))))
(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))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a))))
(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))))

localize7.0ms (0.1%)

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 a 3)
✓	0.0b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
✓	0.3b	(*.f64 -1/48 (pow.f64 a 3))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0%)

Counts

3 → 6

Calls

9 calls:

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

rewrite84.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	273	43
2	3366	43

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Outputs

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

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

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

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-*r/`
1200×	`associate-*l/`
642×	`+-commutative`
620×	`associate-+r+`
582×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	329	7865
1	926	7097
2	4077	7097

Stop Event

1×	node limit

Counts

129 → 193

Calls

Call 1

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

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

eval193.0ms (3.1%)

Compiler: Compiled 7022 to 5593 computations (20.4% saved)

prune71.0ms (1.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	263	4	267
Fresh	0	1	1
Picked	1	0	1
Done	1	4	5
Total	265	9	274

Error

0.6b

Counts

274 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	23.3b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))
✓	10.7b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	38.2b	(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
▶	38.2b	(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
✓	38.1b	(+.f64 1/2 (*.f64 1/4 a))
▶	56.9b	(*.f64 -1/48 (pow.f64 a 3))
✓	29.1b	(exp.f64 a)
	38.2b	1/2

Compiler

Compiled 91 to 72 computations (20.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 a 3)
	0.3b	(*.f64 -1/48 (pow.f64 a 3))

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
✓	0.1b	(.f64 (.f64 a a) a)
✓	0.3b	(.f64 -1/48 (.f64 (*.f64 a a) a))

Compiler

Compiled 42 to 22 computations (47.6% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(.f64 (.f64 a a) a)
0.0ms	a	@	0	(.f64 -1/48 (.f64 (*.f64 a a) a))
0.0ms	a	@	inf	(.f64 (.f64 a a) a)
0.0ms	a	@	inf	(.f64 -1/48 (.f64 (*.f64 a a) a))
0.0ms	a	@	-inf	(.f64 -1/48 (.f64 (*.f64 a a) a))

rewrite101.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`associate-*r/`
974×	`distribute-rgt-in`
928×	`distribute-lft-in`
848×	`associate-*l/`
262×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	267	43
2	3404	43

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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simplify152.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

816×	`associate-/r/`
778×	`associate-+r+`
736×	`associate-/l/`
732×	`associate-+l+`
666×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	327	7969
1	920	7661
2	4429	7621

Stop Event

1×	node limit

Counts

157 → 178

Calls

Call 1

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

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

localize69.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
✓	0.0b	(-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (.f64 -1/48 (pow.f64 a 3)))
	0.3b	(*.f64 -1/48 (pow.f64 a 3))
✓	6.3b	(/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (*.f64 a -1/4)))

Compiler

Compiled 93 to 67 computations (28% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
0.0ms	a	@	0	(/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (*.f64 a -1/4)))
0.0ms	a	@	inf	(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
0.0ms	a	@	-inf	(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
0.0ms	a	@	inf	(/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (*.f64 a -1/4)))

rewrite199.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`associate-/l/`
506×	`associate-+l+`
428×	`add-sqr-sqrt`
406×	`add-exp-log`
406×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	153
1	439	99
2	6064	99

Stop Event

1×	node limit

Counts

3 → 273

Calls

Call 1

Inputs

(/.f64 (*.f64 1/16 (*.f64 a a)) (+.f64 1/2 (*.f64 a -1/4)))

(-.f64 (/.f64 (*.f64 1/16 (*.f64 a a)) (+.f64 1/2 (*.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3)))

(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 a -1/4))) (-.f64 (/.f64 (*.f64 1/16 (*.f64 a a)) (+.f64 1/2 (*.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (*.f64 a a) (/.f64 1 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (/.f64 1 (/.f64 (fma.f64 a -1/4 1/2) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 1/16 (/.f64 1 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a -1/4) 2) (/.f64 1 (fma.f64 a -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -1/4) (*.f64 (*.f64 a -1/4) (/.f64 1 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (*.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/256 (pow.f64 a 4))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/4) 2)) (/.f64 1 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))) (pow.f64 (cbrt.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))) 2) (cbrt.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 a) (*.f64 a (/.f64 1 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 a -1/4 1/2)) (pow.f64 (*.f64 a -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a a) -1/16) (/.f64 1 (+.f64 -1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (pow.f64 (*.f64 a -1/4) 2) (sqrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (pow.f64 (*.f64 a -1/4) 2) (cbrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a a) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 1/16 (sqrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/16 (fma.f64 a -1/4 1/2)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 a -1/4) 2) (-.f64 1/4 (pow.f64 (*.f64 a -1/4) 2))) (fma.f64 a -1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 a -1/4) 2) (+.f64 1/8 (*.f64 (pow.f64 a 3) -1/64))) (-.f64 (+.f64 (pow.f64 (*.f64 a -1/4) 2) 1/4) (*.f64 -1/8 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/16 (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (*.f64 a a) (sqrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/16 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (*.f64 a a) (cbrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a a) 1) (/.f64 1/16 (fma.f64 a -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a a) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 1/16 (cbrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a -1/4) 1) (/.f64 (*.f64 a -1/4) (fma.f64 a -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a -1/4) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (*.f64 a -1/4) (cbrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/256 (pow.f64 a 4))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/4) 2)) (fma.f64 a -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/256 (pow.f64 a 4))) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/4) 2)) (sqrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/256 (pow.f64 a 4))) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (cbrt.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/16 a) 1) (/.f64 a (fma.f64 a -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/16 a) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 a (sqrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/16 a) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 a (cbrt.f64 (fma.f64 a -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16 (/.f64 (fma.f64 a -1/4 1/2) (*.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4096 (pow.f64 (/.f64 (fma.f64 a -1/4 1/2) (*.f64 a a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (*.f64 a -1/4) 2) (+.f64 -1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 1/256 (pow.f64 a 4)) (pow.f64 (fma.f64 a -1/4 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/4096 (pow.f64 (/.f64 (fma.f64 a -1/4 1/2) (*.f64 a a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))))))))

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(pow.f64 a 3)))) (*.f64 (*.f64 (fma.f64 a -1/4 1/2) 4) (-.f64 (/.f64 1/4096 (pow.f64 (/.f64 (fma.f64 a -1/4 1/2) (*.f64 a a)) 3)) (*.f64 -1/110592 (pow.f64 (pow.f64 a 3) 3)))))) (*.f64 (*.f64 (fma.f64 a -1/4 1/2) 4) (+.f64 (*.f64 1/2304 (pow.f64 a 6)) (+.f64 (*.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 -1/48 (pow.f64 a 3))) (/.f64 (*.f64 1/256 (pow.f64 a 4)) (pow.f64 (fma.f64 a -1/4 1/2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (pow.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48)) 2))) (neg.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) (+.f64 (*.f64 (pow.f64 a 3) 1/48) (/.f64 1/4 (fma.f64 a -1/4 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 (fma.f64 a -1/4 1/2) 3)) (pow.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48)) 3))) (neg.f64 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3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (/.f64 1 (fma.f64 a -1/4 1/2)) (neg.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/4 (fma.f64 a -1/4 1/2)) (neg.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (neg.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (neg.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))))))

simplify345.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-r`
1090×	`associate-l`
916×	`+-commutative`
800×	`associate-+l+`
772×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	739	25471
1	2274	25173

Stop Event

1×	node limit

Counts

309 → 480

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 a 2))
(+.f64 (.f64 1/16 (pow.f64 a 3)) (.f64 1/8 (pow.f64 a 2)))
(+.f64 (.f64 1/32 (pow.f64 a 4)) (+.f64 (.f64 1/16 (pow.f64 a 3)) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (.f64 1/32 (pow.f64 a 4)) (+.f64 (.f64 1/16 (pow.f64 a 3)) (+.f64 (.f64 1/64 (pow.f64 a 5)) (.f64 1/8 (pow.f64 a 2)))))
(*.f64 -1/4 a)
(-.f64 (*.f64 -1/4 a) 1/2)
(-.f64 (*.f64 -1/4 a) (+.f64 1/2 (/.f64 1 a)))
(-.f64 (.f64 -1/4 a) (+.f64 1/2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(*.f64 -1/4 a)
(-.f64 (*.f64 -1/4 a) 1/2)
(-.f64 (*.f64 -1/4 a) (+.f64 1/2 (/.f64 1 a)))
(-.f64 (.f64 -1/4 a) (+.f64 1/2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(*.f64 1/8 (pow.f64 a 2))
(+.f64 (.f64 1/12 (pow.f64 a 3)) (.f64 1/8 (pow.f64 a 2)))
(+.f64 (.f64 1/32 (pow.f64 a 4)) (+.f64 (.f64 1/12 (pow.f64 a 3)) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (.f64 1/32 (pow.f64 a 4)) (+.f64 (.f64 1/64 (pow.f64 a 5)) (+.f64 (.f64 1/12 (pow.f64 a 3)) (.f64 1/8 (pow.f64 a 2)))))
(*.f64 1/48 (pow.f64 a 3))
(+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a))
(-.f64 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)) 1/2)
(-.f64 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)) (+.f64 1/2 (/.f64 1 a)))
(*.f64 1/48 (pow.f64 a 3))
(+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a))
(-.f64 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)) 1/2)
(-.f64 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)) (+.f64 1/2 (/.f64 1 a)))
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.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 1/4 a)))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.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 1/4 a)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))))) 1)
(.f64 1/16 (.f64 (*.f64 a a) (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))
(.f64 1/16 (/.f64 1 (/.f64 (fma.f64 a -1/4 1/2) (.f64 a a))))
(.f64 (.f64 a a) (*.f64 1/16 (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 (pow.f64 (.f64 a -1/4) 2) (/.f64 1 (fma.f64 a -1/4 1/2)))
(.f64 (.f64 a -1/4) (.f64 (.f64 a -1/4) (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 (.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) 1)
(.f64 1 (.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (*.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (cbrt.f64 (.f64 1/256 (pow.f64 a 4))) (.f64 (cbrt.f64 (pow.f64 (.f64 a -1/4) 2)) (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 (cbrt.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))) (pow.f64 (cbrt.f64 (.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))) 2) (cbrt.f64 (.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))))
(.f64 (.f64 1/16 a) (*.f64 a (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1 (fma.f64 a -1/4 1/2)) (pow.f64 (.f64 a -1/4) 2))
(.f64 (.f64 (.f64 a a) -1/16) (/.f64 1 (+.f64 -1/2 (.f64 a -1/4))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (pow.f64 (.f64 a -1/4) 2) (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (pow.f64 (.f64 a -1/4) 2) (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (.f64 a a) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 1/16 (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1/16 (fma.f64 a -1/4 1/2)) (.f64 a a))
(.f64 (/.f64 (pow.f64 (.f64 a -1/4) 2) (-.f64 1/4 (pow.f64 (*.f64 a -1/4) 2))) (fma.f64 a -1/4 1/2))
(.f64 (/.f64 (pow.f64 (.f64 a -1/4) 2) (+.f64 1/8 (.f64 (pow.f64 a 3) -1/64))) (-.f64 (+.f64 (pow.f64 (.f64 a -1/4) 2) 1/4) (*.f64 -1/8 a)))
(.f64 (/.f64 1/16 (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (.f64 a a) (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1/16 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (.f64 a a) (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (.f64 a a) 1) (/.f64 1/16 (fma.f64 a -1/4 1/2)))
(.f64 (/.f64 (.f64 a a) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 1/16 (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (.f64 a -1/4) 1) (/.f64 (*.f64 a -1/4) (fma.f64 a -1/4 1/2)))
(.f64 (/.f64 (.f64 a -1/4) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (*.f64 a -1/4) (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/256 (pow.f64 a 4))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/4) 2)) (fma.f64 a -1/4 1/2)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/256 (pow.f64 a 4))) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/4) 2)) (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/256 (pow.f64 a 4))) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (cbrt.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))))
(.f64 (/.f64 (.f64 1/16 a) 1) (/.f64 a (fma.f64 a -1/4 1/2)))
(.f64 (/.f64 (.f64 1/16 a) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 a (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (.f64 1/16 a) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 a (cbrt.f64 (fma.f64 a -1/4 1/2))))
(pow.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) 1)
(pow.f64 (/.f64 (*.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))) 3)
(pow.f64 (.f64 16 (/.f64 (fma.f64 a -1/4 1/2) (.f64 a a))) -1)
(pow.f64 (/.f64 1/4096 (pow.f64 (/.f64 (fma.f64 a -1/4 1/2) (*.f64 a a)) 3)) 1/3)
(neg.f64 (/.f64 (pow.f64 (.f64 a -1/4) 2) (+.f64 -1/2 (.f64 a -1/4))))
(sqrt.f64 (/.f64 (*.f64 1/256 (pow.f64 a 4)) (pow.f64 (fma.f64 a -1/4 1/2) 2)))
(log.f64 (exp.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))))))
(cbrt.f64 (/.f64 1/4096 (pow.f64 (/.f64 (fma.f64 a -1/4 1/2) (*.f64 a a)) 3)))
(expm1.f64 (log1p.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))))
(exp.f64 (log.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))
(+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (.f64 (.f64 (pow.f64 a 3) 1/48) 1))
(+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3) 1/48) (fma.f64 (neg.f64 (pow.f64 a 3)) -1/48 (.f64 -1/48 (pow.f64 a 3)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (.f64 (pow.f64 a 3) 1/48) 1) (fma.f64 (neg.f64 (pow.f64 a 3)) -1/48 (*.f64 -1/48 (pow.f64 a 3)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3) 1/48) (fma.f64 1/48 (pow.f64 a 3) (.f64 -1/48 (pow.f64 a 3)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (.f64 (pow.f64 a 3) 1/48) 1) (fma.f64 1/48 (pow.f64 a 3) (*.f64 -1/48 (pow.f64 a 3)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3) 1/48) (fma.f64 (.f64 (pow.f64 a 3) 1/48) 1 (*.f64 -1/48 (pow.f64 a 3)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (.f64 (pow.f64 a 3) 1/48) 1) (fma.f64 (.f64 (pow.f64 a 3) 1/48) 1 (.f64 -1/48 (pow.f64 a 3)))))
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(fma.f64 1/4 (/.f64 1 (fma.f64 a -1/4 1/2)) (neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))
(fma.f64 1 (/.f64 1/4 (fma.f64 a -1/4 1/2)) (neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))
(fma.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))

Outputs
(*.f64 1/8 (pow.f64 a 2))
(.f64 1/8 (.f64 a a))
(+.f64 (.f64 1/16 (pow.f64 a 3)) (.f64 1/8 (pow.f64 a 2)))
(fma.f64 1/16 (pow.f64 a 3) (.f64 1/8 (.f64 a a)))
(+.f64 (.f64 1/32 (pow.f64 a 4)) (+.f64 (.f64 1/16 (pow.f64 a 3)) (*.f64 1/8 (pow.f64 a 2))))
(fma.f64 1/32 (pow.f64 a 4) (fma.f64 1/16 (pow.f64 a 3) (.f64 1/8 (.f64 a a))))
(+.f64 (.f64 1/32 (pow.f64 a 4)) (+.f64 (.f64 1/16 (pow.f64 a 3)) (+.f64 (.f64 1/64 (pow.f64 a 5)) (.f64 1/8 (pow.f64 a 2)))))
(fma.f64 1/32 (pow.f64 a 4) (fma.f64 1/16 (pow.f64 a 3) (fma.f64 1/64 (pow.f64 a 5) (.f64 1/8 (.f64 a a)))))
(*.f64 -1/4 a)
(*.f64 a -1/4)
(-.f64 (*.f64 -1/4 a) 1/2)
(fma.f64 -1/4 a -1/2)
(-.f64 (*.f64 -1/4 a) (+.f64 1/2 (/.f64 1 a)))
(-.f64 (fma.f64 -1/4 a -1/2) (/.f64 1 a))
(-.f64 (.f64 -1/4 a) (+.f64 1/2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(-.f64 (fma.f64 -1/4 a -1/2) (+.f64 (/.f64 1 a) (/.f64 2 (*.f64 a a))))
(*.f64 -1/4 a)
(*.f64 a -1/4)
(-.f64 (*.f64 -1/4 a) 1/2)
(fma.f64 -1/4 a -1/2)
(-.f64 (*.f64 -1/4 a) (+.f64 1/2 (/.f64 1 a)))
(-.f64 (fma.f64 -1/4 a -1/2) (/.f64 1 a))
(-.f64 (.f64 -1/4 a) (+.f64 1/2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(-.f64 (fma.f64 -1/4 a -1/2) (+.f64 (/.f64 1 a) (/.f64 2 (*.f64 a a))))
(*.f64 1/8 (pow.f64 a 2))
(.f64 1/8 (.f64 a a))
(+.f64 (.f64 1/12 (pow.f64 a 3)) (.f64 1/8 (pow.f64 a 2)))
(fma.f64 1/12 (pow.f64 a 3) (.f64 1/8 (.f64 a a)))
(+.f64 (.f64 1/32 (pow.f64 a 4)) (+.f64 (.f64 1/12 (pow.f64 a 3)) (*.f64 1/8 (pow.f64 a 2))))
(fma.f64 1/32 (pow.f64 a 4) (fma.f64 1/12 (pow.f64 a 3) (.f64 1/8 (.f64 a a))))
(+.f64 (.f64 1/32 (pow.f64 a 4)) (+.f64 (.f64 1/64 (pow.f64 a 5)) (+.f64 (.f64 1/12 (pow.f64 a 3)) (.f64 1/8 (pow.f64 a 2)))))
(fma.f64 1/32 (pow.f64 a 4) (fma.f64 1/64 (pow.f64 a 5) (fma.f64 1/12 (pow.f64 a 3) (.f64 1/8 (.f64 a a)))))
(*.f64 1/48 (pow.f64 a 3))
(*.f64 (pow.f64 a 3) 1/48)
(+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a))
(fma.f64 1/48 (pow.f64 a 3) (*.f64 a -1/4))
(-.f64 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)) 1/2)
(+.f64 (fma.f64 1/48 (pow.f64 a 3) (*.f64 a -1/4)) -1/2)
(+.f64 (fma.f64 -1/4 a -1/2) (*.f64 (pow.f64 a 3) 1/48))
(-.f64 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)) (+.f64 1/2 (/.f64 1 a)))
(+.f64 (*.f64 (pow.f64 a 3) 1/48) (-.f64 (fma.f64 -1/4 a -1/2) (/.f64 1 a)))
(+.f64 (fma.f64 1/48 (pow.f64 a 3) (*.f64 a -1/4)) (-.f64 -1/2 (/.f64 1 a)))
(*.f64 1/48 (pow.f64 a 3))
(*.f64 (pow.f64 a 3) 1/48)
(+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a))
(fma.f64 1/48 (pow.f64 a 3) (*.f64 a -1/4))
(-.f64 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)) 1/2)
(+.f64 (fma.f64 1/48 (pow.f64 a 3) (*.f64 a -1/4)) -1/2)
(+.f64 (fma.f64 -1/4 a -1/2) (*.f64 (pow.f64 a 3) 1/48))
(-.f64 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)) (+.f64 1/2 (/.f64 1 a)))
(+.f64 (*.f64 (pow.f64 a 3) 1/48) (-.f64 (fma.f64 -1/4 a -1/2) (/.f64 1 a)))
(+.f64 (fma.f64 1/48 (pow.f64 a 3) (*.f64 a -1/4)) (-.f64 -1/2 (/.f64 1 a)))
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/48 (pow.f64 a 3) (*.f64 a 1/4)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/48 (pow.f64 a 3) (*.f64 a 1/4)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4)))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 (pow.f64 a 3) -1/48)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 a 1/4))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/48 (pow.f64 a 3) (*.f64 a 1/4)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/48 (pow.f64 a 3) (*.f64 a 1/4)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4)))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 (pow.f64 a 3) -1/48)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 a 1/4))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/48 (pow.f64 a 3) (*.f64 a 1/4)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/48 (pow.f64 a 3) (*.f64 a 1/4)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))))) 1)
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 1/16 (.f64 (*.f64 a a) (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 1/16 (/.f64 1 (/.f64 (fma.f64 a -1/4 1/2) (.f64 a a))))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 (.f64 a a) (*.f64 1/16 (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 (pow.f64 (.f64 a -1/4) 2) (/.f64 1 (fma.f64 a -1/4 1/2)))
(.f64 (/.f64 1 (fma.f64 a -1/4 1/2)) (pow.f64 (.f64 a -1/4) 2))
(/.f64 (pow.f64 (*.f64 a -1/4) 2) (fma.f64 a -1/4 1/2))
(.f64 (.f64 a -1/4) (.f64 (.f64 a -1/4) (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1 (fma.f64 a -1/4 1/2)) (pow.f64 (.f64 a -1/4) 2))
(/.f64 (pow.f64 (*.f64 a -1/4) 2) (fma.f64 a -1/4 1/2))
(.f64 (.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))) 1)
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 1 (.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (*.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))))
(pow.f64 (/.f64 (*.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))) 2)
(pow.f64 (*.f64 (/.f64 a (sqrt.f64 (fma.f64 a -1/4 1/2))) -1/4) 2)
(.f64 (cbrt.f64 (.f64 1/256 (pow.f64 a 4))) (.f64 (cbrt.f64 (pow.f64 (.f64 a -1/4) 2)) (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 a 4) 1/256)) (.f64 (/.f64 1 (fma.f64 a -1/4 1/2)) (cbrt.f64 (pow.f64 (.f64 a -1/4) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a -1/4) 2)) (.f64 (/.f64 1 (fma.f64 a -1/4 1/2)) (cbrt.f64 (.f64 (pow.f64 a 4) 1/256))))
(.f64 (cbrt.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))) (pow.f64 (cbrt.f64 (.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))) 2))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))) 2) (cbrt.f64 (.f64 1/16 (/.f64 (*.f64 a a) (fma.f64 a -1/4 1/2)))))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 (.f64 1/16 a) (*.f64 a (/.f64 1 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1 (fma.f64 a -1/4 1/2)) (pow.f64 (.f64 a -1/4) 2))
(/.f64 (pow.f64 (*.f64 a -1/4) 2) (fma.f64 a -1/4 1/2))
(.f64 (.f64 (.f64 a a) -1/16) (/.f64 1 (+.f64 -1/2 (.f64 a -1/4))))
(.f64 (.f64 (*.f64 a a) -1/16) (/.f64 1 (fma.f64 -1/4 a -1/2)))
(/.f64 (.f64 (.f64 a a) -1/16) (fma.f64 -1/4 a -1/2))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (pow.f64 (.f64 a -1/4) 2) (sqrt.f64 (fma.f64 a -1/4 1/2))))
(pow.f64 (/.f64 (*.f64 a -1/4) (sqrt.f64 (fma.f64 a -1/4 1/2))) 2)
(pow.f64 (*.f64 (/.f64 a (sqrt.f64 (fma.f64 a -1/4 1/2))) -1/4) 2)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (pow.f64 (.f64 a -1/4) 2) (cbrt.f64 (fma.f64 a -1/4 1/2))))
(/.f64 (/.f64 (pow.f64 (*.f64 a -1/4) 2) (cbrt.f64 (fma.f64 a -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2)))
(.f64 (/.f64 (.f64 a a) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 1/16 (sqrt.f64 (fma.f64 a -1/4 1/2))))
(*.f64 (/.f64 a (/.f64 (sqrt.f64 (fma.f64 a -1/4 1/2)) a)) (/.f64 1/16 (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1/16 (fma.f64 a -1/4 1/2)) (.f64 a a))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (pow.f64 (.f64 a -1/4) 2) (-.f64 1/4 (pow.f64 (*.f64 a -1/4) 2))) (fma.f64 a -1/4 1/2))
(.f64 (fma.f64 a -1/4 1/2) (/.f64 (pow.f64 (.f64 a -1/4) 2) (-.f64 1/4 (pow.f64 (*.f64 a -1/4) 2))))
(/.f64 (.f64 (fma.f64 a -1/4 1/2) (pow.f64 (.f64 a -1/4) 2)) (-.f64 1/4 (pow.f64 (*.f64 a -1/4) 2)))
(.f64 (/.f64 (pow.f64 (.f64 a -1/4) 2) (+.f64 1/8 (.f64 (pow.f64 a 3) -1/64))) (-.f64 (+.f64 (pow.f64 (.f64 a -1/4) 2) 1/4) (*.f64 -1/8 a)))
(.f64 (/.f64 (pow.f64 (.f64 a -1/4) 2) (+.f64 1/8 (.f64 (pow.f64 a 3) -1/64))) (+.f64 (pow.f64 (.f64 a -1/4) 2) (-.f64 1/4 (*.f64 a -1/8))))
(.f64 (/.f64 (pow.f64 (.f64 a -1/4) 2) (+.f64 1/8 (.f64 (pow.f64 a 3) -1/64))) (+.f64 1/4 (+.f64 (pow.f64 (.f64 a -1/4) 2) (*.f64 1/8 a))))
(.f64 (/.f64 1/16 (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (.f64 a a) (sqrt.f64 (fma.f64 a -1/4 1/2))))
(*.f64 (/.f64 a (/.f64 (sqrt.f64 (fma.f64 a -1/4 1/2)) a)) (/.f64 1/16 (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1/16 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (.f64 a a) (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1/16 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (.f64 (/.f64 a (cbrt.f64 (fma.f64 a -1/4 1/2))) a))
(.f64 (/.f64 (.f64 a a) 1) (/.f64 1/16 (fma.f64 a -1/4 1/2)))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (.f64 a a) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 1/16 (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1/16 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (.f64 a a) (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1/16 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (.f64 (/.f64 a (cbrt.f64 (fma.f64 a -1/4 1/2))) a))
(.f64 (/.f64 (.f64 a -1/4) 1) (/.f64 (*.f64 a -1/4) (fma.f64 a -1/4 1/2)))
(.f64 (/.f64 1 (fma.f64 a -1/4 1/2)) (pow.f64 (.f64 a -1/4) 2))
(/.f64 (pow.f64 (*.f64 a -1/4) 2) (fma.f64 a -1/4 1/2))
(.f64 (/.f64 (.f64 a -1/4) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (*.f64 a -1/4) (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (pow.f64 (.f64 a -1/4) 2) (cbrt.f64 (fma.f64 a -1/4 1/2))))
(/.f64 (/.f64 (pow.f64 (*.f64 a -1/4) 2) (cbrt.f64 (fma.f64 a -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/256 (pow.f64 a 4))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/4) 2)) (fma.f64 a -1/4 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 a 4) 1/256)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/4) 2)) (fma.f64 a -1/4 1/2)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/256 (pow.f64 a 4))) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/4) 2)) (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 a 4) 1/256)) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/4) 2)) (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/256 (pow.f64 a 4))) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (cbrt.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2)))))
(.f64 (cbrt.f64 (.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))) (/.f64 (cbrt.f64 (.f64 (pow.f64 a 4) 1/256)) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 a 4) 1/256)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (cbrt.f64 (.f64 a (*.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2)))))))
(.f64 (/.f64 (.f64 1/16 a) 1) (/.f64 a (fma.f64 a -1/4 1/2)))
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
(.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (.f64 1/16 a) (sqrt.f64 (fma.f64 a -1/4 1/2))) (/.f64 a (sqrt.f64 (fma.f64 a -1/4 1/2))))
(*.f64 (/.f64 a (/.f64 (sqrt.f64 (fma.f64 a -1/4 1/2)) a)) (/.f64 1/16 (sqrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 (.f64 1/16 a) (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 a (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1/16 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (/.f64 (.f64 a a) (cbrt.f64 (fma.f64 a -1/4 1/2))))
(.f64 (/.f64 1/16 (cbrt.f64 (pow.f64 (fma.f64 a -1/4 1/2) 2))) (.f64 (/.f64 a (cbrt.f64 (fma.f64 a -1/4 1/2))) a))
(pow.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) 1)
(.f64 a (.f64 a (/.f64 1/16 (fma.f64 a -1/4 1/2))))
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(/.f64 (-.f64 (+.f64 (.f64 (/.f64 1/256 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (pow.f64 a 4)) (fma.f64 1/2304 (pow.f64 a 6) (.f64 (pow.f64 a 3) (.f64 (.f64 (/.f64 a (fma.f64 a -1/4 1/2)) a) -1/768)))) (.f64 (fma.f64 a -1/4 1/2) (.f64 4 (+.f64 (/.f64 1/4096 (pow.f64 (/.f64 (fma.f64 a -1/4 1/2) (.f64 a a)) 3)) (.f64 (pow.f64 (pow.f64 a 3) 3) 1/110592))))) (.f64 4 (.f64 (fma.f64 a -1/4 1/2) (+.f64 (.f64 (/.f64 1/256 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (pow.f64 a 4)) (fma.f64 1/2304 (pow.f64 a 6) (.f64 (pow.f64 a 3) (.f64 (.f64 (/.f64 a (fma.f64 a -1/4 1/2)) a) -1/768)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (pow.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (.f64 (pow.f64 a 3) 1/48)) 2))) (neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3) 1/48) (/.f64 1/4 (fma.f64 a -1/4 1/2))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (pow.f64 (fma.f64 1/16 (/.f64 a (/.f64 (fma.f64 a -1/4 1/2) a)) (*.f64 (pow.f64 a 3) 1/48)) 2))) (neg.f64 (fma.f64 1/16 (/.f64 a (/.f64 (fma.f64 a -1/4 1/2) a)) (fma.f64 (pow.f64 a 3) 1/48 (/.f64 1/4 (fma.f64 a -1/4 1/2))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (pow.f64 (fma.f64 (pow.f64 a 3) 1/48 (.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))) 2))) (-.f64 (/.f64 (.f64 (.f64 a a) -1/16) (fma.f64 a -1/4 1/2)) (fma.f64 (pow.f64 a 3) 1/48 (/.f64 1/4 (fma.f64 a -1/4 1/2)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 (fma.f64 a -1/4 1/2) 3)) (pow.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (.f64 (pow.f64 a 3) 1/48)) 3))) (neg.f64 (+.f64 (/.f64 1/16 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (.f64 (pow.f64 a 3) 1/48)) (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3) 1/48) (/.f64 1/4 (fma.f64 a -1/4 1/2))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 (fma.f64 a -1/4 1/2) 3)) (pow.f64 (fma.f64 1/16 (/.f64 a (/.f64 (fma.f64 a -1/4 1/2) a)) (.f64 (pow.f64 a 3) 1/48)) 3))) (neg.f64 (+.f64 (/.f64 1/16 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (.f64 (fma.f64 1/16 (/.f64 a (/.f64 (fma.f64 a -1/4 1/2) a)) (*.f64 (pow.f64 a 3) 1/48)) (fma.f64 1/16 (/.f64 a (/.f64 (fma.f64 a -1/4 1/2) a)) (fma.f64 (pow.f64 a 3) 1/48 (/.f64 1/4 (fma.f64 a -1/4 1/2))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 (fma.f64 a -1/4 1/2) 3)) (pow.f64 (fma.f64 (pow.f64 a 3) 1/48 (.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))) 3))) (neg.f64 (+.f64 (/.f64 1/16 (pow.f64 (fma.f64 a -1/4 1/2) 2)) (.f64 (fma.f64 (pow.f64 a 3) 1/48 (.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))) (fma.f64 1/16 (.f64 (/.f64 a (fma.f64 a -1/4 1/2)) a) (fma.f64 (pow.f64 a 3) 1/48 (/.f64 1/4 (fma.f64 a -1/4 1/2))))))))
(pow.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) 1)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))) 2)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))) 3)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(pow.f64 (pow.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) 3) 1/3)
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) 3))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(exp.f64 (log.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 a -1/4 1/2) (.f64 -1/48 (pow.f64 a 3)))) 1))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a -1/4 1/2))
(fma.f64 1/4 (/.f64 1 (fma.f64 a -1/4 1/2)) (neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))
(+.f64 (*.f64 -1/16 (/.f64 a (/.f64 (fma.f64 a -1/4 1/2) a))) (fma.f64 -1/48 (pow.f64 a 3) (/.f64 1/4 (fma.f64 a -1/4 1/2))))
(-.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2)) (fma.f64 (pow.f64 a 3) 1/48 (.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))))
(fma.f64 1 (/.f64 1/4 (fma.f64 a -1/4 1/2)) (neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))
(+.f64 (*.f64 -1/16 (/.f64 a (/.f64 (fma.f64 a -1/4 1/2) a))) (fma.f64 -1/48 (pow.f64 a 3) (/.f64 1/4 (fma.f64 a -1/4 1/2))))
(-.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2)) (fma.f64 (pow.f64 a 3) 1/48 (.f64 a (.f64 1/16 (/.f64 a (fma.f64 a -1/4 1/2))))))
(fma.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))
(fma.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3) -1/48) (.f64 -1/16 (/.f64 a (/.f64 (fma.f64 a -1/4 1/2) a)))))
(fma.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (sqrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3) -1/48) (/.f64 (.f64 (*.f64 a a) -1/16) (fma.f64 a -1/4 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 a a) (fma.f64 a -1/4 1/2))) (*.f64 (pow.f64 a 3) 1/48))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3) -1/48) (.f64 -1/16 (/.f64 a (/.f64 (fma.f64 a -1/4 1/2) a)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 a -1/4 1/2))) (+.f64 (.f64 (pow.f64 a 3) -1/48) (/.f64 (.f64 (*.f64 a a) -1/16) (fma.f64 a -1/4 1/2))))

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`add-sqr-sqrt`
1682×	`*-un-lft-identity`
1570×	`add-cube-cbrt`
1552×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	164	30
2	2127	30

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-+r+`
1016×	`associate-+l+`
942×	`associate-/l*`
716×	`times-frac`
694×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1814
1	390	1652
2	1690	1538
3	6705	1538

Stop Event

1×	node limit

Counts

88 → 91

Calls

Call 1

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

eval649.0ms (10.5%)

Compiler: Compiled 28403 to 22323 computations (21.4% saved)

prune160.0ms (2.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	793	3	796
Fresh	0	1	1
Picked	1	0	1
Done	2	5	7
Total	796	9	805

Error

Counts

805 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	37.8b	(/.f64 1 (-.f64 2 a))
	22.6b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	10.7b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	38.2b	(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
✓	38.1b	(+.f64 1/2 (*.f64 1/4 a))
✓	56.9b	(*.f64 -1/48 (pow.f64 a 3))
	56.9b	(.f64 -1/48 (.f64 (*.f64 a a) a))
✓	29.1b	(exp.f64 a)
	38.2b	1/2

Compiler

Compiled 69 to 56 computations (18.8% saved)

regimes32.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (-.f64 2 a))
(.f64 -1/48 (.f64 (*.f64 a a) a))
(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
(exp.f64 a)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))))

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

Calls

5 calls:

10.0ms	b
8.0ms	a
5.0ms	(exp.f64 b)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 173 to 112 computations (35.3% saved)

regimes32.0ms (0.5%)

Counts

15 → 1

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (-.f64 2 a))
(.f64 -1/48 (.f64 (*.f64 a a) a))
(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
(exp.f64 a)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

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

Calls

5 calls:

9.0ms	b
7.0ms	a
5.0ms	(exp.f64 b)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(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 143 to 95 computations (33.6% saved)

regimes68.0ms (1.1%)

Counts

14 → 3

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (-.f64 2 a))
(.f64 -1/48 (.f64 (*.f64 a a) a))
(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
(exp.f64 a)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 a -1/4))) (-.f64 (/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (.f64 a -1/4))) (*.f64 -1/48 (pow.f64 a 3))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))

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

Calls

4 calls:

31.0ms	b
14.0ms	a
11.0ms	(exp.f64 b)
9.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.3b	2	`a`
0.4b	3	`b`
1.3b	2	`(exp.f64 a)`
0.4b	3	`(exp.f64 b)`

Compiler

Compiled 125 to 87 computations (30.4% saved)

bsearch23.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.1854103283708723	+inf
0.0ms	0.999999999968932	0.9999999999993572

Results

20.0ms

224×

body

256

valid

Compiler

Compiled 267 to 234 computations (12.4% saved)

regimes34.0ms (0.5%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	b
11.0ms	a
3.0ms	(exp.f64 a)
2.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.3b	2	`a`
9.7b	3	`b`
1.3b	2	`(exp.f64 a)`
10.7b	1	`(exp.f64 b)`

Compiler

Compiled 60 to 42 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.012747649887971767

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes56.0ms (0.9%)

Counts

7 → 6

Calls

Call 1

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

Outputs
(exp.f64 a)
(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
(exp.f64 a)
1/2
(exp.f64 a)
(.f64 -1/48 (.f64 (*.f64 a a) a))

Calls

3 calls:

32.0ms	b
18.0ms	a
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
22.6b	4	`a`
16.9b	6	`b`
23.6b	2	`(exp.f64 a)`

Compiler

Compiled 50 to 34 computations (32% saved)

bsearch53.0ms (0.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
11.0ms	3.291193366892156e+180	5.110345867780997e+182
8.0ms	4.280671009204033e-13	1.1021843850317156e-12
6.0ms	-4.205676052099465e-290	-2.3005676530370994e-290
18.0ms	-1.3911284248123456e-246	-9.641331667927189e-259
9.0ms	-2.1159853550679151e-19	-8.82971632787543e-20

Results

46.0ms

496×

body

256

valid

Compiler

Compiled 516 to 399 computations (22.7% saved)

regimes17.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(/.f64 1 (-.f64 2 a))
(.f64 -1/48 (.f64 (*.f64 a a) a))

Calls

2 calls:

11.0ms	b
4.0ms	a

Results

Error	Segments	Branch
37.8b	1	`a`
32.7b	2	`b`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.17008898331733818	1807.430598571027

Results

12.0ms

128×

body

256

valid

Compiler

Compiled 159 to 122 computations (23.3% saved)

regimes11.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	b
3.0ms	a

Results

Error	Segments	Branch
37.8b	1	`a`
37.8b	1	`b`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.3b remaining (-0.8%)

Threshold costs -0.3b (-0.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
38.1b	1	`a`
38.1b	1	`b`

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
10×	`*-commutative`
8×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	345
1	81	345
2	87	345
3	90	345
4	91	345

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 562949953410053/562949953421312) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 5404319552844595/4503599627370496) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -4361529361169255/20769187434139310514121985316880384) (exp.f64 a) (if (<=.f64 b -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a))) (if (<=.f64 b -6671126867653125/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384) (exp.f64 a) (if (<=.f64 b 5446936172855673/4951760157141521099596496896) 1/2 (if (<=.f64 b 3499999999999999802025524789008939756082164602279141981547832403158791155219729044853508049868578762541403441135981575926977668865493629005045342780290711417213830133676377263570944) (exp.f64 a) (.f64 -1/48 (.f64 (*.f64 a a) a)))))))
(if (<=.f64 b 550) (/.f64 1 (-.f64 2 a)) (.f64 -1/48 (.f64 (*.f64 a a) a)))
(/.f64 1 (-.f64 2 a))
(+.f64 1/2 (*.f64 1/4 a))
1/2

Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 562949953410053/562949953421312) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 5404319552844595/4503599627370496) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 562949953410053/562949953421312) (not (<=.f64 (exp.f64 b) 5404319552844595/4503599627370496))) (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -4361529361169255/20769187434139310514121985316880384) (exp.f64 a) (if (<=.f64 b -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a))) (if (<=.f64 b -6671126867653125/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384) (exp.f64 a) (if (<=.f64 b 5446936172855673/4951760157141521099596496896) 1/2 (if (<=.f64 b 3499999999999999802025524789008939756082164602279141981547832403158791155219729044853508049868578762541403441135981575926977668865493629005045342780290711417213830133676377263570944) (exp.f64 a) (.f64 -1/48 (.f64 (*.f64 a a) a)))))))
(if (<=.f64 b -4361529361169255/20769187434139310514121985316880384) (exp.f64 a) (if (<=.f64 b -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (+.f64 (.f64 -1/48 (.f64 a (.f64 a a))) (+.f64 1/2 (.f64 a 1/4))) (if (<=.f64 b -6671126867653125/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384) (exp.f64 a) (if (<=.f64 b 5446936172855673/4951760157141521099596496896) 1/2 (if (<=.f64 b 3499999999999999802025524789008939756082164602279141981547832403158791155219729044853508049868578762541403441135981575926977668865493629005045342780290711417213830133676377263570944) (exp.f64 a) (.f64 -1/48 (.f64 a (*.f64 a a))))))))
(if (<=.f64 b 550) (/.f64 1 (-.f64 2 a)) (.f64 -1/48 (.f64 (*.f64 a a) a)))
(if (<=.f64 b 550) (/.f64 1 (-.f64 2 a)) (.f64 -1/48 (.f64 a (*.f64 a a))))
(/.f64 1 (-.f64 2 a))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
1/2

Compiler

Compiled 146 to 103 computations (29.5% saved)

soundness184.0ms (3%)

Algorithm

2×	egg-herbie

Rules

1148×	`associate-+r+`
1016×	`associate-+l+`
998×	`associate-/l*`
974×	`associate-r`
942×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	827	23321
1	2284	23113
0	166	1814
1	390	1652
2	1690	1538
3	6705	1538

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 114 to 64 computations (43.9% saved)

end64.0ms (1%)

Compiler: Compiled 130 to 78 computations (40% saved)

Details

analyze21.0ms (0.3%)

sample785.0ms (12.7%)

preprocess5.0ms (0.1%)

simplify12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series5.0ms (0.1%)

rewrite83.0ms (1.3%)

simplify117.0ms (1.9%)

eval81.0ms (1.3%)

prune43.0ms (0.7%)

localize12.0ms (0.2%)

series90.0ms (1.4%)

rewrite209.0ms (3.4%)

simplify439.0ms (7.1%)

localize6.0ms (0.1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.9%)

simplify64.0ms (1%)

localize36.0ms (0.6%)

series4.0ms (0.1%)

rewrite104.0ms (1.7%)

simplify102.0ms (1.6%)

eval496.0ms (8%)

prune272.0ms (4.4%)

localize3.0ms (0%)

localize9.0ms (0.2%)

series31.0ms (0.5%)

rewrite60.0ms (1%)

simplify60.0ms (1%)

localize7.0ms (0.1%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite84.0ms (1.4%)

simplify99.0ms (1.6%)

eval193.0ms (3.1%)

prune71.0ms (1.1%)

localize6.0ms (0.1%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite101.0ms (1.6%)

simplify152.0ms (2.5%)

localize69.0ms (1.1%)

series2.0ms (0%)

rewrite199.0ms (3.2%)

simplify345.0ms (5.6%)

localize18.0ms (0.3%)

series2.0ms (0%)

rewrite91.0ms (1.5%)

simplify80.0ms (1.3%)

eval649.0ms (10.5%)

prune160.0ms (2.6%)

regimes32.0ms (0.5%)

regimes32.0ms (0.5%)

regimes68.0ms (1.1%)

bsearch23.0ms (0.4%)

regimes34.0ms (0.5%)

bsearch0.0ms (0%)

regimes56.0ms (0.9%)

bsearch53.0ms (0.9%)

regimes17.0ms (0.3%)

bsearch14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

simplify14.0ms (0.2%)

soundness184.0ms (3%)

end64.0ms (1%)

Profiling