Details

analyze20.0ms (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)

sample831.0ms (11.7%)

Results

788.0ms	8256×	body	256	valid
28.0ms	226×	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)

localize8.0ms (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)))

rewrite122.0ms (1.7%)

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))))))

simplify153.0ms (2.2%)

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))

eval108.0ms (1.5%)

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

prune74.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	260	6	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	261	6	267

Error

0.2b

Counts

267 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
▶	23.9b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	22.0b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	10.8b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	10.2b	(+.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))))
▶	0.5b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 162 to 118 computations (27.2% saved)

localize14.0ms (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)))))
✓	1.2b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	2.2b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series102.0ms (1.4%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
29.0ms	b	@	-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	b	@	0	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite202.0ms (2.8%)

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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simplify192.0ms (2.7%)

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)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 103

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite62.0ms (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)))))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 97

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

Outputs

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

simplify128.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

203 → 270

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 19 computations (60.4% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite90.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`associate-*r/`
1322×	`associate-*l/`
372×	`associate-+l+`
332×	`associate-+r+`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	89
1	312	89
2	4076	89

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs

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

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

simplify138.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate--r+`
790×	`associate--l+`
618×	`fma-def`
542×	`associate-r`
536×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	10826
1	1393	10498
2	6022	10496

Stop Event

1×	node limit

Counts

232 → 296

Calls

Call 1

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

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

eval484.0ms (6.8%)

Compiler: Compiled 35943 to 16376 computations (54.4% saved)

prune323.0ms (4.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1400	10	1410
Fresh	1	0	1
Picked	1	0	1
Done	1	3	4
Total	1403	13	1416

Error

0.2b

Counts

1416 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.1b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
	22.4b	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)))
✓	23.9b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
	24.5b	(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
✓	22.0b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	32.3b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	38.6b	(/.f64 1 (+.f64 b 2))
✓	10.8b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	36.5b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	36.3b	(+.f64 1/2 (*.f64 1/4 a))
▶	38.4b	(+.f64 1/2 (*.f64 -1/4 b))
▶	30.6b	(exp.f64 a)
	36.8b	1/2

Compiler

Compiled 199 to 157 computations (21.1% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

series30.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	b	@	inf	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
13.0ms	b	@	-inf	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
1.0ms	b	@	0	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
0.0ms	b	@	0	(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
0.0ms	b	@	inf	(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	230	34
2	2580	34

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1712×	`distribute-lft-in`
1690×	`distribute-rgt-in`
854×	`associate-r`
848×	`associate-/l*`
728×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1701
1	278	1609
2	839	1497
3	3050	1497

Stop Event

1×	node limit

Counts

65 → 72

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (+.f64 (.f64 5/384 (.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (*.f64 -1 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (.f64 (.f64 -1 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))

Outputs
1/2
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(fma.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1/24) (pow.f64 b 3) (+.f64 1/2 (fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) (.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 0) (*.f64 b b)))))
(+.f64 (fma.f64 (.f64 b b) 0 (.f64 b -1/4)) (fma.f64 1/48 (pow.f64 b 3) 1/2))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 b -1/4 1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)))
(fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2))
(.f64 (+.f64 (.f64 b -1/4) 1) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 b b)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (.f64 (sqrt.f64 1/2) (.f64 (.f64 b b) -1/32))))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 b -1/4) (.f64 (.f64 -1/32 b) b))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (+.f64 (.f64 5/384 (.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (fma.f64 5/384 (.f64 (sqrt.f64 1/2) (pow.f64 b 3)) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (*.f64 b b))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (fma.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 b b)) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 b 3) 5/384)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (sqrt.f64 1/2) (.f64 b -1/4) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 -1/32 b) b) (*.f64 (pow.f64 b 3) 5/384)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (sqrt.f64 1/2) (.f64 (.f64 -1/32 b) b) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 b -1/4) (*.f64 (pow.f64 b 3) 5/384)))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (*.f64 -1 (log1p.f64 (exp.f64 b))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (.f64 (.f64 -1 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 -1/2) (log1p.f64 (exp.f64 b)))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 b))) 1))
(pow.f64 (exp.f64 -1/2) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)

localize6.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 63

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
✓	0.1b	(*.f64 -1/48 (pow.f64 a 3))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series3.0ms (0%)

Counts

2 → 6

Calls

6 calls:

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

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

107 → 174

Calls

Call 1

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

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

eval523.0ms (7.4%)

Compiler: Compiled 8436 to 6861 computations (18.7% saved)

prune113.0ms (1.6%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	361	6	367
Fresh	0	5	5
Picked	0	1	1
Done	1	6	7
Total	362	18	380

Error

0.2b

Counts

380 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	37.2b	(pow.f64 (sqrt.f64 1/2) 2)
▶	11.3b	(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
	22.4b	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)))
✓	23.9b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
	24.5b	(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
✓	22.0b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	32.3b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
✓	38.6b	(/.f64 1 (+.f64 b 2))
✓	10.8b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	61.9b	(/.f64 1 b)
▶	36.5b	(-.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))))
✓	36.5b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
▶	25.7b	(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
	36.3b	(+.f64 1/2 (*.f64 1/4 a))
✓	38.4b	(+.f64 1/2 (*.f64 -1/4 b))
▶	56.5b	(*.f64 -1/48 (pow.f64 a 3))
✓	30.6b	(exp.f64 a)
	36.8b	1/2

Compiler

Compiled 284 to 231 computations (18.7% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
✓	0.5b	(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
✓	0.5b	(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
✓	0.5b	(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series30.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	b	@	inf	(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
13.0ms	b	@	-inf	(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
1.0ms	b	@	0	(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
0.0ms	b	@	0	(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
0.0ms	b	@	0	(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`*-commutative`
654×	`unswap-sqr`
482×	`swap-sqr`
398×	`sqr-pow`
374×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	265	55
2	2772	55

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))

Outputs

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

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

862×	`associate-/l*`
756×	`associate-/r*`
604×	`associate-r`
544×	`associate-l`
412×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	6564
1	829	5598
2	3457	5582

Stop Event

1×	node limit

Counts

158 → 195

Calls

Call 1

Inputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (+.f64 (.f64 5/384 (.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
1/2
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (pow.f64 2 -1/2)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (log.f64 (+.f64 1 (pow.f64 2 -1/2))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (.f64 -1/16 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (log.f64 (+.f64 1 (pow.f64 2 -1/2)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (.f64 -1/16 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 5/64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (+.f64 (.f64 -3/64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (*.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 3))))) (pow.f64 b 3))) (log.f64 (+.f64 1 (pow.f64 2 -1/2))))))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(+.f64 1 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) -1))
(+.f64 1 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 0)
(+.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1)
(+.f64 -1 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(+.f64 (.f64 (pow.f64 1 -1/2) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (.f64 (pow.f64 1 -1/2) -1))
(+.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 1 -1/2)) (.f64 -1 (pow.f64 1 -1/2)))
(-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) 2)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 1 -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/8) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/8) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))))
(.f64 (.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))) (*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/8)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/8)))
(.f64 (.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/8)) (*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/8)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/4)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/4)))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/8) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/4)) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/8) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1) (-.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1/4) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3) 1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1/8) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1/8))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))
(/.f64 (*.f64 (pow.f64 1 -1/2) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2))
(/.f64 (*.f64 (pow.f64 1 -1/2) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1) 1) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1) 1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) 2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1/4)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) -1)
(+.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(+.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) -1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1)
(.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(.f64 (.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 6) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 6) 1/6))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) 1))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(+.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) 1)
(*.f64 1 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) 1))
(pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))

Outputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)))
(fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 b b)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (.f64 (sqrt.f64 1/2) (.f64 (.f64 b b) -1/32))))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 b) (.f64 (.f64 b b) -1/32))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (+.f64 (.f64 5/384 (.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (fma.f64 5/384 (.f64 (sqrt.f64 1/2) (pow.f64 b 3)) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (*.f64 b b))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (fma.f64 (.f64 (sqrt.f64 1/2) -1/32) (.f64 b b) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 b 3) 5/384)))))
(+.f64 (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 b b) -1/32) (*.f64 (pow.f64 b 3) 5/384))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
1/2
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(+.f64 1/2 (.f64 -1/2 (.f64 b (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 1/2 (fma.f64 -1/2 (.f64 b (pow.f64 (sqrt.f64 1/2) 2)) (.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 1/2) 2) 0))))
(+.f64 1/2 (fma.f64 -1/4 b (.f64 b (.f64 b 0))))
(+.f64 1/2 (.f64 b (+.f64 (.f64 b 0) -1/4)))
(+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(fma.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1/24) (pow.f64 b 3) (+.f64 1/2 (fma.f64 -1/2 (.f64 b (pow.f64 (sqrt.f64 1/2) 2)) (.f64 (.f64 b b) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) 0)))))
(+.f64 (fma.f64 -1/4 b (.f64 b (.f64 b 0))) (fma.f64 (pow.f64 b 3) 1/48 1/2))
(+.f64 (.f64 b (+.f64 (.f64 b 0) -1/4)) (fma.f64 (pow.f64 b 3) 1/48 1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (pow.f64 2 -1/2)))
(log1p.f64 (pow.f64 2 -1/2))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (log.f64 (+.f64 1 (pow.f64 2 -1/2))))
(fma.f64 -1/4 (/.f64 (sqrt.f64 1/2) (/.f64 (+.f64 1 (pow.f64 2 -1/2)) b)) (log1p.f64 (pow.f64 2 -1/2)))
(fma.f64 -1/4 (*.f64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))) b) (log1p.f64 (pow.f64 2 -1/2)))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (.f64 -1/16 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (log.f64 (+.f64 1 (pow.f64 2 -1/2)))))
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(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 6) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 6) 1/6))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 6))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)) (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 (+.f64 (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)) (+.f64 1 (.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) -1) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)) (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 (+.f64 (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)) (+.f64 1 (.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 6) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 6) 1/6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) -1)
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) -1)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) 1)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 1 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3/2))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/6))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (+.f64 1 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (+.f64 1 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))
(pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/3)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2))
(fabs.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))

localize3.0ms (0%)

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (+.f64 b 2)) 1)
	0.0b	(/.f64 1 (+.f64 b 2))
✓	3.2b	(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite92.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 236

Calls

Call 1

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

Outputs

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

simplify166.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

260 → 412

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize237.0ms (3.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/4 (+.f64 1/2 (*.f64 a -1/4)))
	0.1b	(*.f64 -1/48 (pow.f64 a 3))
✓	0.2b	(.f64 1/16 (.f64 a a))
✓	6.1b	(/.f64 (.f64 1/16 (.f64 a a)) (+.f64 1/2 (*.f64 a -1/4)))

Compiler

Compiled 89 to 66 computations (25.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`associate-*l/`
1776×	`associate-/l*`
776×	`associate-/r/`
422×	`associate-/l/`
272×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	283	55
2	3686	55

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

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 (*.f64 a a) (/.f64 1/16 (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 a (/.f64 (sqrt.f64 (fma.f64 a -1/4 1/2)) -1/4)) (/.f64 a (/.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 a -1/4) 2) 3) (pow.f64 (fma.f64 a -1/4 1/2) 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)))))))))

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

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

simplify96.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1714×	`associate-/r*`
828×	`associate-/l/`
716×	`associate-/r/`
564×	`+-commutative`
548×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	6027
1	1091	5799
2	4580	5675

Stop Event

1×	node limit

Counts

169 → 264

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

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

eval712.0ms (10%)

Compiler: Compiled 24988 to 20611 computations (17.5% saved)

prune328.0ms (4.6%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	989	4	993
Fresh	2	4	6
Picked	0	1	1
Done	5	6	11
Total	996	15	1011

Error

0.2b

Counts

1011 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	22.4b	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)))
✓	23.9b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
	24.5b	(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
✓	22.0b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	10.8b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	36.5b	(-.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))))
✓	36.5b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	25.7b	(+.f64 1 (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 (/.f64 1 (+.f64 b 2)) -1))))
	38.4b	(+.f64 1 (-.f64 (*.f64 -1/4 b) 1/2))
	55.9b	(+.f64 1 (fabs.f64 (-.f64 -1 (/.f64 -1 (+.f64 b 2)))))
	39.0b	(+.f64 1 -1)
	36.3b	(+.f64 1/2 (*.f64 1/4 a))
✓	38.4b	(+.f64 1/2 (*.f64 -1/4 b))
✓	30.6b	(exp.f64 a)
	36.8b	1/2

Compiler

Compiled 165 to 135 computations (18.2% saved)

regimes43.0ms (0.6%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	b
12.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

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

Compiler

Compiled 271 to 190 computations (29.9% saved)

regimes39.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	b
11.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
0.8b	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 228 to 162 computations (28.9% saved)

regimes63.0ms (0.9%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	b
19.0ms	a
6.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.3b	2	`a`
0.7b	3	`b`
1.3b	2	`(exp.f64 a)`
0.7b	3	`(exp.f64 b)`

Compiler

Compiled 188 to 142 computations (24.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000966957332365	1.002977001399307
0.0ms	0.0	0.9857664452184064

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes69.0ms (1%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	a
25.0ms	b
6.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.3b	2	`a`
1.0b	3	`b`
1.3b	2	`(exp.f64 a)`
1.0b	3	`(exp.f64 b)`

Compiler

Compiled 168 to 133 computations (20.8% saved)

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	9.669105850540191e-5	0.0029725789056469698
15.0ms	-5256728.1336870035	-4268.68287036719

Results

23.0ms

240×

body

256

valid

Compiler

Compiled 279 to 221 computations (20.8% saved)

regimes58.0ms (0.8%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 161 to 130 computations (19.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.29846572140649535

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes62.0ms (0.9%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	a
18.0ms	b
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
13.7b	6	`a`
10.3b	3	`b`
16.1b	2	`(exp.f64 a)`

Compiler

Compiled 93 to 76 computations (18.3% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	9.669105850540191e-5	0.0029725789056469698
16.0ms	-1.465054096261456e-15	-1.8621243468217015e-23

Results

26.0ms

256×

body

256

valid

Compiler

Compiled 230 to 200 computations (13% saved)

regimes25.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
11.0ms	b

Results

Error	Segments	Branch
16.1b	2	`a`
22.5b	2	`b`

Compiler

Compiled 82 to 68 computations (17.1% saved)

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
6.0ms	-0.0005757457201853985	-0.0004415753158075853

Results

6.0ms

48×

body

256

valid

Compiler

Compiled 117 to 103 computations (12% saved)

regimes23.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
10.0ms	b

Results

Error	Segments	Branch
16.1b	2	`a`
22.5b	2	`b`

Compiler

Compiled 57 to 46 computations (19.3% saved)

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
5.0ms	-0.0005757457201853985	-0.0004415753158075853

Results

5.0ms

48×

body

256

valid

Compiler

Compiled 69 to 61 computations (11.6% saved)

regimes20.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	a
9.0ms	b

Results

Error	Segments	Branch
22.1b	2	`a`
22.5b	2	`b`

Compiler

Compiled 37 to 30 computations (18.9% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	-1.2091001889028015	-0.1147844297585899

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 99 to 88 computations (11.1% saved)

regimes15.0ms (0.2%)

Accuracy

Total -40.0b remaining (-176.7%)

Threshold costs -40.0b (-176.7%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	b
7.0ms	a

Results

Error	Segments	Branch
22.6b	2	`a`
23.0b	2	`b`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	-1.5570966200727191e-30	-6.748212782401478e-34

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 95 to 90 computations (5.3% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
6×	`sub-neg`
4×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	403
1	86	403
2	89	403
3	91	403
4	92	403

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) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (+.f64 1 -1)))
(if (<=.f64 b -4400) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 b 208967022709991/72057594037927936) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 1 -1)))
(if (<=.f64 (exp.f64 a) 0) (+.f64 1 -1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -7352373481323731/5070602400912917605986812821504) (exp.f64 a) (if (<=.f64 b 5764607523034235/2305843009213693952) (+.f64 1/2 (*.f64 1/4 a)) (+.f64 1 -1)))
(if (<=.f64 a -2582544170319337/4611686018427387904) (+.f64 1 -1) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 (/.f64 1 (+.f64 b 2)) -1)))))
(if (<=.f64 a -2582544170319337/4611686018427387904) (+.f64 1 -1) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))
(if (<=.f64 a -5404319552844595/9007199254740992) (+.f64 1 -1) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -8848935694776951/5708990770823839524233143877797980545530986496) (+.f64 1 -1) 1/2)
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) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (+.f64 1 -1)))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 b 1))) 0))
(if (<=.f64 b -4400) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 b 208967022709991/72057594037927936) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 1 -1)))
(if (<=.f64 b -4400) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 b 208967022709991/72057594037927936) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 0))
(if (<=.f64 (exp.f64 a) 0) (+.f64 1 -1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) 0 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -7352373481323731/5070602400912917605986812821504) (exp.f64 a) (if (<=.f64 b 5764607523034235/2305843009213693952) (+.f64 1/2 (*.f64 1/4 a)) (+.f64 1 -1)))
(if (<=.f64 b -7352373481323731/5070602400912917605986812821504) (exp.f64 a) (if (<=.f64 b 5764607523034235/2305843009213693952) (+.f64 1/2 (*.f64 a 1/4)) 0))
(if (<=.f64 a -2582544170319337/4611686018427387904) (+.f64 1 -1) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 (/.f64 1 (+.f64 b 2)) -1)))))
(if (<=.f64 a -2582544170319337/4611686018427387904) 0 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (/.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 -1 (/.f64 1 (+.f64 b 2)))))))
(if (<=.f64 a -2582544170319337/4611686018427387904) (+.f64 1 -1) (+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)))
(if (<=.f64 a -2582544170319337/4611686018427387904) 0 (+.f64 1 (+.f64 -1 (/.f64 1 (+.f64 b 2)))))
(if (<=.f64 a -5404319552844595/9007199254740992) (+.f64 1 -1) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -5404319552844595/9007199254740992) 0 (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 a -8848935694776951/5708990770823839524233143877797980545530986496) (+.f64 1 -1) 1/2)
(if (<=.f64 a -8848935694776951/5708990770823839524233143877797980545530986496) 0 1/2)
1/2

Compiler

Compiled 176 to 139 computations (21% saved)

soundness0.0ms (0%)

end80.0ms (1.1%)

Compiler: Compiled 156 to 109 computations (30.1% saved)