Details

analyze22.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.0s (13.4%)

Results

979.0ms	8256×	body	256	valid
21.0ms	208×	body	256	unsamplable

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (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

0.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series10.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	b	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	b	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite87.0ms (1.1%)

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))))))

simplify131.0ms (1.7%)

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))

eval98.0ms (1.3%)

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

prune49.0ms (0.6%)

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

Counts

267 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
	0.9b	(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
▶	20.4b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	11.5b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	11.2b	(+.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))))
▶	0.3b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 158 to 116 computations (26.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	1.4b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	3.2b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series94.0ms (1.3%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
34.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms	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)))))

rewrite128.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 295

Calls

Call 1

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

Outputs
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Outputs

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simplify172.0ms (2.3%)

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)))

localize23.0ms (0.3%)

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	@	inf	(+.f64 1 (exp.f64 b))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.8%)

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
1.0ms	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))

rewrite133.0ms (1.8%)

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)))))

simplify67.0ms (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 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
✓	0.4b	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series8.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
0.0ms	a	@	inf	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
0.0ms	a	@	-inf	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
0.0ms	b	@	inf	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
0.0ms	b	@	-inf	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)

rewrite153.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`associate-*r/`
1024×	`*-commutative`
1010×	`associate-/r*`
860×	`associate-*l/`
698×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	232	50
2	3005	50

Stop Event

1×	node limit

Counts

2 → 245

Calls

Call 1

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

Outputs

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

simplify229.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-/l*`
904×	`+-commutative`
694×	`*-commutative`
644×	`associate-r`
606×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	669	13543
1	1821	12221
2	7894	12221

Stop Event

1×	node limit

Counts

277 → 391

Calls

Call 1

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

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

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 88 to 61 computations (30.7% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`add-sqr-sqrt`
1808×	`*-un-lft-identity`
1690×	`add-cube-cbrt`
1676×	`add-cbrt-cube`
190×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	210	34
2	2442	34

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Rules

972×	`distribute-lft-in`
972×	`+-commutative`
860×	`distribute-rgt-in`
756×	`associate-+l-`
722×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1809
1	418	1773
2	1507	1753
3	6315	1753

Stop Event

1×	node limit

Counts

69 → 103

Calls

Call 1

Inputs
4
(+.f64 (*.f64 4 b) 4)
(+.f64 (.f64 4 b) (+.f64 4 (.f64 3 (pow.f64 b 2))))
(+.f64 (.f64 4 b) (+.f64 (.f64 5/3 (pow.f64 b 3)) (+.f64 4 (*.f64 3 (pow.f64 b 2)))))
1/4
(+.f64 1/4 (*.f64 -1/4 b))
(+.f64 1/4 (+.f64 (.f64 -1/4 b) (.f64 1/16 (pow.f64 b 2))))
(+.f64 1/4 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2)))))
(+.f64 (+.f64 1 (exp.f64 b)) (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)))
(+.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 (exp.f64 b) (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(*.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 1)
(.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(.f64 (.f64 (+.f64 1 (exp.f64 b)) (sqrt.f64 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(.f64 (.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(/.f64 (+.f64 1 (exp.f64 b)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 1)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1)
(/.f64 (.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 (+.f64 b b)))) (.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 b))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))
(/.f64 (.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (+.f64 1 (exp.f64 b))) (-.f64 1 (exp.f64 b)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (exp.f64 b))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (.f64 (-.f64 1 (exp.f64 b)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 1 (exp.f64 (+.f64 b b)))) (.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (-.f64 1 (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(exp.f64 (*.f64 2 (log1p.f64 (exp.f64 b))))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(exp.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -2))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 b))) -1))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))

Outputs
4
(+.f64 (*.f64 4 b) 4)
(fma.f64 4 b 4)
(+.f64 (.f64 4 b) (+.f64 4 (.f64 3 (pow.f64 b 2))))
(+.f64 (fma.f64 4 b 4) (.f64 3 (.f64 b b)))
(fma.f64 4 b (fma.f64 3 (*.f64 b b) 4))
(fma.f64 b (*.f64 b 3) (fma.f64 4 b 4))
(+.f64 (.f64 4 b) (+.f64 (.f64 5/3 (pow.f64 b 3)) (+.f64 4 (*.f64 3 (pow.f64 b 2)))))
(fma.f64 4 b (fma.f64 5/3 (pow.f64 b 3) (+.f64 4 (.f64 3 (.f64 b b)))))
(fma.f64 4 b (fma.f64 5/3 (pow.f64 b 3) (fma.f64 3 (*.f64 b b) 4)))
(fma.f64 5/3 (pow.f64 b 3) (fma.f64 b (*.f64 b 3) (fma.f64 4 b 4)))
1/4
(+.f64 1/4 (*.f64 -1/4 b))
(+.f64 1/4 (*.f64 b -1/4))
(fma.f64 b -1/4 1/4)
(+.f64 1/4 (+.f64 (.f64 -1/4 b) (.f64 1/16 (pow.f64 b 2))))
(+.f64 1/4 (fma.f64 -1/4 b (.f64 (.f64 b b) 1/16)))
(+.f64 (fma.f64 b -1/4 1/4) (.f64 b (.f64 b 1/16)))
(fma.f64 b -1/4 (fma.f64 b (*.f64 b 1/16) 1/4))
(+.f64 1/4 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2)))))
(+.f64 1/4 (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b (.f64 (.f64 b b) 1/16))))
(+.f64 1/4 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 (.f64 b (.f64 b 1/16)))))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 (fma.f64 b (*.f64 b 1/16) 1/4)))
(+.f64 (+.f64 1 (exp.f64 b)) (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(+.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(+.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(+.f64 (*.f64 (exp.f64 b) (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 1)
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(*.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 1)
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))
(.f64 (.f64 (+.f64 1 (exp.f64 b)) (sqrt.f64 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(.f64 (.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(/.f64 (+.f64 1 (exp.f64 b)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 1)
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1)
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(/.f64 (.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 (+.f64 b b)))) (.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 b))))
(*.f64 (/.f64 (-.f64 1 (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 b) 2)) (/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (-.f64 1 (exp.f64 b))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))) (+.f64 1 (pow.f64 (exp.f64 b) 3)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))))
(/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 (-.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(/.f64 (.f64 (+.f64 1 (exp.f64 b)) (+.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 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 (+.f64 1 (exp.f64 b)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)) (+.f64 1 (pow.f64 (exp.f64 b) 3)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 (+.f64 1 (exp.f64 b)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (+.f64 1 (exp.f64 b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 (-.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (exp.f64 b))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 (+.f64 1 (exp.f64 b)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)) (+.f64 1 (pow.f64 (exp.f64 b) 3)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 (+.f64 1 (exp.f64 b)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)))
(/.f64 (.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (.f64 (-.f64 1 (exp.f64 b)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 1 (exp.f64 b))) (/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)))
(.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (.f64 (-.f64 1 (exp.f64 b)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 1 (exp.f64 (+.f64 b b)))) (.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (-.f64 1 (exp.f64 b))))
(/.f64 (.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (.f64 (-.f64 1 (exp.f64 b)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (-.f64 1 (exp.f64 b))) (/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)))
(.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (.f64 (-.f64 1 (exp.f64 b)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 3))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(exp.f64 (*.f64 2 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 2) (log1p.f64 (exp.f64 b)))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 b))) 1))
(pow.f64 (exp.f64 2) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 1)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) 1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 3) 1/3)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 3))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(exp.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 -2) (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -2))
(pow.f64 (exp.f64 -2) (log1p.f64 (exp.f64 b)))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 b))) -1))
(pow.f64 (exp.f64 -2) (log1p.f64 (exp.f64 b)))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 b))) 1))
(pow.f64 (exp.f64 -2) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)

eval979.0ms (13%)

Compiler: Compiled 45181 to 20627 computations (54.3% saved)

prune557.0ms (7.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1745	8	1753
Fresh	1	0	1
Picked	1	0	1
Done	3	1	4
Total	1750	9	1759

Error

Counts

1759 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.3b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	38.6b	(/.f64 1 (+.f64 b 2))
✓	11.5b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	0.0b	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
▶	37.4b	(+.f64 1/2 (*.f64 1/4 a))
▶	38.8b	(+.f64 1/2 (*.f64 -1/4 b))
	11.5b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
	32.5b	(exp.f64 a)
	37.7b	1/2

Compiler

Compiled 121 to 100 computations (17.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`associate-*r/`
994×	`*-commutative`
866×	`associate-*l/`
576×	`distribute-lft-in`
554×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	221	40
2	2916	40

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

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

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate-/r/`
1042×	`associate-/l/`
682×	`associate-+r+`
668×	`+-commutative`
588×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	8776
1	1248	8322
2	5038	8268

Stop Event

1×	node limit

Counts

174 → 250

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize7.0ms (0.1%)

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

localize7.0ms (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
1.0ms	b	@	0	(/.f64 1 (+.f64 b 2))
0.0ms	b	@	inf	(/.f64 1 (+.f64 b 2))
0.0ms	b	@	-inf	(/.f64 1 (+.f64 b 2))

rewrite73.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 63

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 22 computations (40.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite120.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	244	48
2	3195	48

Stop Event

1×	node limit

Counts

2 → 202

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b (*.f64 b 1/2))) 1 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b b)) 1/2 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 -1/2 (*.f64 b b) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b (sqrt.f64 1/2))) (*.f64 b (sqrt.f64 1/2)) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 b) (*.f64 b 1/2) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) b) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (-.f64 2 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) 2) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (-.f64 b (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b (*.f64 b 1/2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 1/2 (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b (sqrt.f64 1/2)) (neg.f64 (*.f64 b (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 b (neg.f64 (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (pow.f64 (+.f64 b 2) 2)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) 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simplify162.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

996×	`+-commutative`
776×	`associate-+r+`
738×	`associate-r`
676×	`associate-+l+`
590×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	552	15152
1	1614	13652
2	6981	13652

Stop Event

1×	node limit

Counts

226 → 355

Calls

Call 1

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

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/16 (pow.f64 b 3)))
(+.f64 1/2 (+.f64 (.f64 -1/32 (pow.f64 b 4)) (+.f64 (.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(+.f64 (fma.f64 -1/4 b 1/2) (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6))))
(+.f64 (+.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 32 (pow.f64 b 6)))) (/.f64 -4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (+.f64 (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 32 (pow.f64 b 6))) (/.f64 -4 (pow.f64 b 3))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6))))
(+.f64 (+.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 32 (pow.f64 b 6)))) (/.f64 -4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (+.f64 (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 32 (pow.f64 b 6))) (/.f64 -4 (pow.f64 b 3))))
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 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b (.f64 b 1/2))) 1 (.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 (.f64 b b) -1/2) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b b)) 1/2 (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 (.f64 b b) -1/2) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 -1/2 (.f64 b b) (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 (.f64 b b) -1/2) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (.f64 b (sqrt.f64 1/2))) (.f64 b (sqrt.f64 1/2)) (.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 b (neg.f64 (sqrt.f64 1/2))) (.f64 b (sqrt.f64 1/2)) (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 b (+.f64 (.f64 (sqrt.f64 1/2) (.f64 b (neg.f64 (sqrt.f64 1/2)))) (.f64 1/2 b))) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 b (+.f64 (.f64 1/2 b) (.f64 (sqrt.f64 1/2) (.f64 b (neg.f64 (sqrt.f64 1/2)))))) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 b (.f64 b 1/2)))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (.f64 b b)))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (.f64 b b)))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (.f64 1/2 (.f64 b b))) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 b) (.f64 b 1/2) (.f64 b (.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (/.f64 (.f64 1 (fma.f64 (.f64 (.f64 b b) -1/2) 1 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 (.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) b) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (-.f64 2 (.f64 b (.f64 b 1/2)))))
(/.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))
(/.f64 (-.f64 2 (fma.f64 1/2 (.f64 b b) (neg.f64 b))) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) 2) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (-.f64 b (.f64 b (.f64 b 1/2)))))
(/.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))
(/.f64 (-.f64 2 (fma.f64 1/2 (.f64 b b) (neg.f64 b))) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (neg.f64 (.f64 b (.f64 b 1/2)))))
(/.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))
(/.f64 (-.f64 2 (fma.f64 1/2 (.f64 b b) (neg.f64 b))) (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b (*.f64 b 1/2)) -1)))
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(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -1/2)) (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)))))
(/.f64 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (.f64 1 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)))) (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))
(/.f64 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -1/2))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2)) -1/2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) 2) (.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -1/2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 b 2))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))))) (sqrt.f64 (+.f64 b (-.f64 2 (.f64 b (*.f64 b 1/2))))))
(-.f64 (/.f64 (pow.f64 (+.f64 b 2) 2) (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b))))) (.f64 (/.f64 (pow.f64 b 4) (+.f64 b (-.f64 2 (.f64 1/2 (*.f64 b b))))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))) (-.f64 2 (fma.f64 1/2 (.f64 b b) (neg.f64 b))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (cbrt.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))) (cbrt.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))))) (cbrt.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2))))))
(-.f64 (/.f64 (pow.f64 (+.f64 b 2) 2) (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b))))) (.f64 (/.f64 (pow.f64 b 4) (+.f64 b (-.f64 2 (.f64 1/2 (*.f64 b b))))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))) (-.f64 2 (fma.f64 1/2 (.f64 b b) (neg.f64 b))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)) (+.f64 (.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 b 2)))) (-.f64 (sqrt.f64 (+.f64 b 2)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (-.f64 (sqrt.f64 (+.f64 b 2)) (*.f64 b (sqrt.f64 1/2))) (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (+.f64 b 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))) (.f64 (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (+.f64 b 2))) (-.f64 (sqrt.f64 (+.f64 b 2)) (*.f64 b (sqrt.f64 1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 b 6) 1/8)) (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 b (.f64 (+.f64 b 2) (.f64 1/2 b)))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 b 2) 3)) (+.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 b (+.f64 b 2)) (*.f64 b -1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 b 6) 1/8)) (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 b (.f64 (+.f64 b 2) (.f64 1/2 b)))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 b 2) 3)) (+.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 b (+.f64 b 2)) (*.f64 b -1/2))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 1)
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3)
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3) 1/3)
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 2))
(fabs.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1 b (+.f64 2 (.f64 b (.f64 b 1/2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1 (+.f64 b 2) (.f64 b (.f64 b 1/2)))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 b 2))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 b 2))
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 2 (.f64 b (.f64 b 1/2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 b (*.f64 b 1/2))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 1/2 (*.f64 b b))) (+.f64 b 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 2 (.f64 b (.f64 b 1/2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))

eval690.0ms (9.1%)

Compiler: Compiled 18457 to 12297 computations (33.4% saved)

prune226.0ms (3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	661	7	668
Fresh	0	3	3
Picked	0	1	1
Done	2	3	5
Total	663	14	677

Error

Counts

677 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.8b	(/.f64 (/.f64 2 b) b)
	34.4b	(/.f64 (+.f64 b (-.f64 -2 (.f64 1/2 (.f64 b b)))) (-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 1/2 (.f64 b b))) (+.f64 2 (.f64 1/2 (.f64 b b))))))
	52.8b	(/.f64 2 (*.f64 b b))
✓	29.3b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	52.5b	(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
	20.1b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	11.5b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	61.7b	(/.f64 1 b)
	22.5b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
✓	37.4b	(+.f64 1/2 (*.f64 1/4 a))
✓	38.8b	(+.f64 1/2 (*.f64 -1/4 b))
▶	11.5b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
▶	32.5b	(exp.f64 a)
	37.7b	1/2

Compiler

Compiled 222 to 168 computations (24.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	0.2b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series45.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
11.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))
0.0ms	b	@	inf	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 91

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

95 → 120

Calls

Call 1

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

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

localize3.0ms (0%)

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

eval77.0ms (1%)

Compiler: Compiled 3150 to 2158 computations (31.5% saved)

prune45.0ms (0.6%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	250	4	254
Fresh	2	3	5
Picked	0	1	1
Done	1	7	8
Total	253	15	268

Error

Counts

268 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.8b	(/.f64 (/.f64 2 b) b)
	52.8b	(/.f64 2 (*.f64 b b))
✓	29.3b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
	20.1b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	11.5b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	52.5b	(/.f64 1 (.f64 (+.f64 (.f64 b 1/2) 1) b))
✓	61.7b	(/.f64 1 b)
	45.1b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)
	49.6b	(+.f64 (exp.f64 b) 1)
✓	37.4b	(+.f64 1/2 (*.f64 1/4 a))
✓	38.8b	(+.f64 1/2 (*.f64 -1/4 b))
	52.8b	(*.f64 (/.f64 2 b) (/.f64 1 b))
✓	11.5b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	32.5b	(exp.f64 a)
	37.7b	1/2

Compiler

Compiled 114 to 93 computations (18.4% saved)

regimes44.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	b
12.0ms	a
5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 b)
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.0b	1	`(exp.f64 a)`
0.0b	1	`(exp.f64 b)`

Compiler

Compiled 239 to 147 computations (38.5% saved)

regimes62.0ms (0.8%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	b
19.0ms	a
5.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.3b	2	`a`
0.0b	3	`b`
0.3b	2	`(exp.f64 a)`
0.0b	3	`(exp.f64 b)`

Compiler

Compiled 147 to 101 computations (31.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000020475548
0.0ms	0.9999998032256969	1.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes44.0ms (0.6%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	a
13.0ms	b
4.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.6b	2	`a`
11.5b	1	`b`
0.6b	2	`(exp.f64 a)`
11.5b	1	`(exp.f64 b)`

Compiler

Compiled 140 to 95 computations (32.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.848706465302656e-36	0.9862809997790378

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes49.0ms (0.6%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	a
17.0ms	b
6.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
11.4b	2	`a`
13.0b	2	`b`
11.4b	2	`(exp.f64 a)`
13.0b	2	`(exp.f64 b)`

Compiler

Compiled 134 to 91 computations (32.1% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-81.31435138659423	-0.013813975347420838

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 151 to 130 computations (13.9% saved)

regimes29.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	b
10.0ms	a

Results

Error	Segments	Branch
22.5b	1	`a`
20.1b	2	`b`

Compiler

Compiled 120 to 81 computations (32.5% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.45927159435194087	300.13377805076084

Results

12.0ms

128×

body

256

valid

Compiler

Compiled 175 to 146 computations (16.6% saved)

regimes22.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	b
7.0ms	a

Results

Error	Segments	Branch
22.5b	1	`a`
20.8b	2	`b`

Compiler

Compiled 53 to 40 computations (24.5% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	1.485255822195853e-25	2.0475547836569517e-9

Results

15.0ms

160×

body

256

valid

Compiler

Compiled 215 to 190 computations (11.6% saved)

regimes24.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	b
11.0ms	a

Results

Error	Segments	Branch
33.7b	2	`a`
27.9b	2	`b`

Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.45927159435194087	300.13377805076084

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 143 to 114 computations (20.3% saved)

regimes15.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	b
4.0ms	a

Results

Error	Segments	Branch
37.4b	1	`a`
37.4b	1	`b`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -24.6b remaining (-65.4%)

Threshold costs -24.6b (-65.4%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1/2

Calls

2 calls:

5.0ms	b
3.0ms	a

Results

Error	Segments	Branch
37.7b	1	`a`
37.7b	1	`b`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
12×	`sub-neg`
6×	`*-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	311
1	75	311
2	83	311
3	86	311
4	87	311

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 7482888383134223/1496577676626844588240573268701473812127674924007424) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -16) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 7/4) (+.f64 1/2 (.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 2 (.f64 b b))) 1))
(if (<=.f64 b 7910139745424151/20282409603651670423947251286016) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 7566047373982433/4503599627370496) (+.f64 1/2 (.f64 1/4 a)) (/.f64 2 (.f64 b b)))
(+.f64 1/2 (*.f64 1/4 a))
1/2

Outputs
(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 1) (not (<=.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(if (<=.f64 (exp.f64 a) 7482888383134223/1496577676626844588240573268701473812127674924007424) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 7482888383134223/1496577676626844588240573268701473812127674924007424) (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 a -16) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 a -16) (exp.f64 a) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 a -16) (exp.f64 a) (+.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(if (<=.f64 b 7/4) (+.f64 1/2 (.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 2 (.f64 b b))) 1))
(if (<=.f64 b 7/4) (+.f64 1/2 (.f64 a 1/4)) (+.f64 (+.f64 1 (/.f64 2 (.f64 b b))) -1))
(if (<=.f64 b 7/4) (+.f64 1/2 (.f64 a 1/4)) (+.f64 -1 (+.f64 1 (/.f64 2 (.f64 b b)))))
(if (<=.f64 b 7910139745424151/20282409603651670423947251286016) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 7910139745424151/20282409603651670423947251286016) (+.f64 1/2 (*.f64 a 1/4)) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 b 7910139745424151/20282409603651670423947251286016) (+.f64 1/2 (*.f64 a 1/4)) (+.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(if (<=.f64 b 7566047373982433/4503599627370496) (+.f64 1/2 (.f64 1/4 a)) (/.f64 2 (.f64 b b)))
(if (<=.f64 b 7566047373982433/4503599627370496) (+.f64 1/2 (.f64 a 1/4)) (/.f64 2 (.f64 b b)))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
1/2

Compiler

Compiled 134 to 107 computations (20.1% saved)

soundness636.0ms (8.4%)

Algorithm

5×	egg-herbie

Rules

1544×	`distribute-lft-in`
1544×	`distribute-lft-in`
1474×	`distribute-rgt-in`
1474×	`distribute-rgt-in`
1066×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	669	13543
1	1821	12221
2	7894	12221
0	152	1762
1	365	1576
2	1354	1274
3	5449	1274
0	552	15152
1	1614	13652
2	6981	13652
0	152	1762
1	365	1576
2	1354	1274
3	5449	1274
0	552	15152
1	1614	13652
2	6981	13652

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 333 to 160 computations (52% saved)

end74.0ms (1%)

Compiler: Compiled 118 to 88 computations (25.4% saved)