Details

analyze20.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample786.0ms (11.2%)

Results

756.0ms	8256×	body	256	valid
16.0ms	200×	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

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.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))
✓	0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

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

Outputs
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Outputs

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

simplify124.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

191 → 266

Calls

Call 1

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

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

eval80.0ms (1.1%)

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

prune46.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

0.2b

Counts

267 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.2b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	20.9b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	12.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	11.9b	(+.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))))
▶	0.2b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 130 to 96 computations (26.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.8b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	2.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series88.0ms (1.3%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
32.0ms	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)))
11.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite88.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`*-commutative`
732×	`associate-*r/`
702×	`distribute-lft-in`
686×	`distribute-rgt-in`
556×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	208	44
2	2810	44

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs
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Outputs

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

simplify137.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1716×	`associate-*l/`
1062×	`+-commutative`
792×	`associate-+l-`
748×	`associate--r+`
680×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	11227
1	1193	10647
2	5853	10575

Stop Event

1×	node limit

Counts

165 → 244

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite58.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 103

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`add-sqr-sqrt`
1690×	`*-un-lft-identity`
1576×	`add-cube-cbrt`
1558×	`add-cbrt-cube`
162×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	30
2	2097	30

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 97

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

Outputs

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

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

203 → 270

Calls

Call 1

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

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

localize39.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 b)) 2)
✓	0.0b	(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
✓	0.1b	(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))

Compiler

Compiled 88 to 61 computations (30.7% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite111.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`*-commutative`
876×	`associate-/r*`
728×	`distribute-lft-in`
716×	`distribute-rgt-in`
510×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	269	73
2	3586	73

Stop Event

1×	node limit

Counts

3 → 309

Calls

Call 1

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

Outputs

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simplify164.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

858×	`associate-/r*`
852×	`associate-r`
840×	`associate-/l*`
756×	`*-commutative`
738×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	744	21987
1	2173	21333

Stop Event

1×	node limit

Counts

321 → 592

Calls

Call 1

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

Outputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 b 2)))
(+.f64 1/4 (.f64 -1/16 (.f64 b b)))
(+.f64 1/4 (.f64 (.f64 -1/16 b) b))
(+.f64 (.f64 1/96 (pow.f64 b 4)) (+.f64 1/4 (.f64 -1/16 (pow.f64 b 2))))
(fma.f64 1/96 (pow.f64 b 4) (+.f64 1/4 (.f64 -1/16 (.f64 b b))))
(fma.f64 1/96 (pow.f64 b 4) (+.f64 1/4 (.f64 (.f64 -1/16 b) b)))
(+.f64 (.f64 1/96 (pow.f64 b 4)) (+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 b 2)) (*.f64 -17/11520 (pow.f64 b 6)))))
(fma.f64 1/96 (pow.f64 b 4) (+.f64 1/4 (fma.f64 -1/16 (.f64 b b) (.f64 -17/11520 (pow.f64 b 6)))))
1/4
(+.f64 1/4 (*.f64 -1/4 b))
(+.f64 1/4 (*.f64 b -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 1/4 (fma.f64 -1/4 b (.f64 b (.f64 b 1/16))))
(+.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 1/48 (pow.f64 b 3) (fma.f64 -1/4 b (.f64 b (.f64 b 1/16)))))
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 (.f64 b b) 3))
(+.f64 (fma.f64 4 b 4) (.f64 b (.f64 b 3)))
(+.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 (.f64 b b) 3))))
(fma.f64 4 b (fma.f64 5/3 (pow.f64 b 3) (+.f64 4 (.f64 b (.f64 b 3)))))
(+.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))
(+.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (+.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) 1 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(-.f64 (+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2))
(+.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (+.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b)))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2) (*.f64 -1 (pow.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) 2))) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (+.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) 1 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(-.f64 (+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b)))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (fma.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2) (*.f64 -1 (pow.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) 2))) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) 1 (pow.f64 (+.f64 (exp.f64 b) 1) -2))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (*.f64 2 (+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2) (neg.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b)))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) 1 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (fma.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))))
(+.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2) (*.f64 -1 (pow.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) 2))) (-.f64 (+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.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)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) 1 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b)))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) 1 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (fma.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))))
(+.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2) (*.f64 -1 (pow.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) 2))) (-.f64 (+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b)))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b)))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (*.f64 2 (fma.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (.f64 2 (+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2) (.f64 -1 (pow.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) 2)))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.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)) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b)))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (+.f64 (fma.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (*.f64 -1 (pow.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) 2))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) 1 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b)))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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))))
(+.f64 (+.f64 (fma.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(+.f64 (+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (*.f64 -1 (pow.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) 2))) (pow.f64 (+.f64 (exp.f64 b) 1) -2))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.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)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)) (pow.f64 (+.f64 (exp.f64 b) 1) -2))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) 1 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(-.f64 (+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (pow.f64 (+.f64 (exp.f64 b) 1) -2))
(+.f64 (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (*.f64 1 (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b)))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
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(/.f64 (/.f64 (+.f64 1 (exp.f64 b)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (/.f64 -1 (cbrt.f64 (-.f64 -1 (exp.f64 b)))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (/.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (cbrt.f64 (-.f64 -1 (exp.f64 b))))))
(*.f64 (cbrt.f64 (-.f64 -1 (exp.f64 b))) (/.f64 (+.f64 (exp.f64 b) 1) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)))))
(/.f64 (/.f64 (+.f64 1 (exp.f64 b)) (/.f64 -1 (cbrt.f64 (-.f64 -1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (/.f64 (/.f64 1 (-.f64 -1 (exp.f64 b))) (cbrt.f64 (-.f64 -1 (exp.f64 b))))))
(*.f64 (cbrt.f64 (-.f64 -1 (exp.f64 b))) (/.f64 (+.f64 (exp.f64 b) 1) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)))))
(/.f64 (/.f64 (+.f64 1 (exp.f64 b)) -1) (/.f64 1 (-.f64 -1 (exp.f64 b))))
(*.f64 (-.f64 -1 (exp.f64 b)) (-.f64 -1 (exp.f64 b)))
(/.f64 (/.f64 (+.f64 1 (exp.f64 b)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (/.f64 (+.f64 (exp.f64 b) 1) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))))
(/.f64 (+.f64 (exp.f64 b) 1) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)))))
(/.f64 (/.f64 (+.f64 1 (exp.f64 b)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2)))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 (-.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))
(*.f64 (/.f64 (+.f64 (exp.f64 b) 1) (-.f64 1 (exp.f64 b))) (-.f64 1 (pow.f64 (exp.f64 b) 2)))
(/.f64 (/.f64 (+.f64 1 (exp.f64 b)) (/.f64 1 (+.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 (exp.f64 b) 1)))
(/.f64 (.f64 (+.f64 (exp.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (/.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(/.f64 (+.f64 (exp.f64 b) 1) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 b) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 (exp.f64 b) 1) 1) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2)) 1) (cbrt.f64 (+.f64 (exp.f64 b) 1)))
(/.f64 (/.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1)) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(/.f64 (+.f64 (exp.f64 b) 1) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) -2))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 4)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 -1 (cbrt.f64 (-.f64 -1 (exp.f64 b))))) (/.f64 -1 (cbrt.f64 (-.f64 -1 (exp.f64 b)))))
(.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 4)) -1) (cbrt.f64 (-.f64 -1 (exp.f64 b)))) -1) (cbrt.f64 (-.f64 -1 (exp.f64 b))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 4)) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (exp.f64 b)))) (cbrt.f64 (-.f64 -1 (exp.f64 b)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 4)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -4))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 4)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.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 1 (.f64 (exp.f64 b) (expm1.f64 b)))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.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) 2)) (-.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) 2)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 b)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))) 1) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 (-.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))
(*.f64 (/.f64 (+.f64 (exp.f64 b) 1) (-.f64 1 (exp.f64 b))) (-.f64 1 (pow.f64 (exp.f64 b) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))) (sqrt.f64 (-.f64 1 (exp.f64 b)))) (sqrt.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (.f64 (+.f64 (exp.f64 b) 1) (-.f64 1 (pow.f64 (exp.f64 b) 2))) (.f64 (sqrt.f64 (-.f64 1 (exp.f64 b))) (sqrt.f64 (-.f64 1 (exp.f64 b)))))
(/.f64 (+.f64 (exp.f64 b) 1) (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 b))) (sqrt.f64 (-.f64 1 (exp.f64 b)))) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))) (.f64 (cbrt.f64 (-.f64 1 (exp.f64 b))) (cbrt.f64 (-.f64 1 (exp.f64 b))))) (cbrt.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 b) 1) (cbrt.f64 (-.f64 1 (exp.f64 b)))) (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (-.f64 1 (exp.f64 b))))) (cbrt.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (/.f64 (.f64 (+.f64 (exp.f64 b) 1) (-.f64 1 (pow.f64 (exp.f64 b) 2))) (cbrt.f64 (-.f64 1 (exp.f64 b)))) (.f64 (cbrt.f64 (-.f64 1 (exp.f64 b))) (cbrt.f64 (-.f64 1 (exp.f64 b)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (pow.f64 (exp.f64 b) 3))) 1) (+.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 (exp.f64 b) 1)))
(/.f64 (.f64 (+.f64 (exp.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (.f64 (+.f64 (exp.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (.f64 (sqrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (/.f64 (.f64 (+.f64 (exp.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (/.f64 (.f64 (+.f64 (exp.f64 b) 1) (/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (+.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 (pow.f64 (exp.f64 b) 2)) (-.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) 2)) (/.f64 (+.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 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))) (-.f64 1 (exp.f64 b)))
(.f64 (/.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 (exp.f64 b) (expm1.f64 b)))))
(.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (.f64 (-.f64 1 (exp.f64 b)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2) 0)
(pow.f64 (+.f64 (exp.f64 b) 1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2) 0)
(pow.f64 (+.f64 (exp.f64 b) 1) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 3))
(+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2) 0)
(pow.f64 (+.f64 (exp.f64 b) 1) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2) 0)
(pow.f64 (+.f64 (exp.f64 b) 1) 2)
(exp.f64 (*.f64 2 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 2) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2) 0)
(pow.f64 (+.f64 (exp.f64 b) 1) 2)

eval1.2s (17.3%)

Compiler: Compiled 46349 to 27391 computations (40.9% saved)

prune533.0ms (7.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1539	8	1547
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	1542	10	1552

Error

0.2b

Counts

1552 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.4b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
	22.5b	(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
✓	20.9b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	31.4b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	40.4b	(/.f64 1 (+.f64 b 2))
✓	12.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	39.2b	(+.f64 1/2 (*.f64 1/4 a))
▶	40.5b	(+.f64 1/2 (*.f64 -1/4 b))
	30.3b	(exp.f64 a)
	39.2b	1/2

Compiler

Compiled 136 to 110 computations (19.1% saved)

localize31.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

series29.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	b	@	-inf	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
14.0ms	b	@	inf	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
1.0ms	b	@	0	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
0.0ms	b	@	0	(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
0.0ms	b	@	inf	(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)

rewrite67.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

65 → 72

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 63

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 b b))
✓	0.2b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

95 → 162

Calls

Call 1

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

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/16 (pow.f64 b 3))))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/16 (pow.f64 b 3)))
(+.f64 1/2 (+.f64 (.f64 -1/32 (pow.f64 b 4)) (+.f64 (.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 -1/4 b (*.f64 1/16 (pow.f64 b 3)))))
(+.f64 (fma.f64 -1/4 b 1/2) (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(-.f64 (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 16 (pow.f64 b 5))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6))))
(+.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 (/.f64 2 b) b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(-.f64 (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 16 (pow.f64 b 5))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6))))
(+.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 (/.f64 2 b) b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.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 b (.f64 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 1/2 (.f64 b 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 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 b (.f64 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 b (.f64 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 1/2 (.f64 b 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 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 b (.f64 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 b (.f64 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 1/2 (.f64 b 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 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 b (.f64 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 (+.f64 (neg.f64 (pow.f64 (.f64 b (sqrt.f64 1/2)) 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 1/2 (.f64 b b) 2))) (/.f64 (+.f64 (.f64 1/2 (.f64 b b)) (neg.f64 (pow.f64 (.f64 b (sqrt.f64 1/2)) 2))) (+.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 (.f64 1/2 (.f64 b b)) (neg.f64 (pow.f64 (.f64 b (sqrt.f64 1/2)) 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 1/2 (.f64 b 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 (+.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 b (.f64 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 1/2 (.f64 b 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 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (/.f64 (.f64 b (.f64 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 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) 1) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))
(/.f64 (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) 2) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (-.f64 b (.f64 b (.f64 b 1/2)))))
(/.f64 (.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) 1) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))
(/.f64 (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (neg.f64 (.f64 b (.f64 b 1/2)))))
(/.f64 (.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) 1) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))
(/.f64 (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b (*.f64 b 1/2)) -1)))
(/.f64 (.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) 1) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))
(/.f64 (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b b) -1/2)))
(/.f64 (.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) 1) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))
(/.f64 (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 1/2 (neg.f64 (.f64 b b)))))
(/.f64 (.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) 1) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))
(/.f64 (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 b (sqrt.f64 1/2)) (neg.f64 (*.f64 b (sqrt.f64 1/2))))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 (+.f64 b 2) (neg.f64 (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))) (-.f64 (+.f64 b 2) (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)))
(/.f64 (+.f64 b (-.f64 2 (pow.f64 (.f64 b (sqrt.f64 1/2)) 2))) (+.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 (cbrt.f64 (.f64 b (.f64 b 1/2))) (neg.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4))))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4))) (+.f64 (+.f64 b 2) (neg.f64 (.f64 (cbrt.f64 (.f64 1/2 (.f64 b b))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4)))) (-.f64 (+.f64 b 2) (.f64 (cbrt.f64 (.f64 1/2 (.f64 b b))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)))))
(/.f64 (-.f64 (+.f64 b 2) (.f64 (cbrt.f64 (.f64 1/2 (.f64 b b))) (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)))) (+.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 b (neg.f64 (.f64 b 1/2)))))
(/.f64 (.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) 1) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (pow.f64 b 4) 1/4)))
(/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))
(/.f64 (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)) (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (pow.f64 (+.f64 b 2) 2)) (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8))) (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))))
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(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (.f64 b b) 2)) -2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))))) (cbrt.f64 (+.f64 2 (.f64 (+.f64 (*.f64 b -1/2) 1) b))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)) -2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (.f64 -1/4 (pow.f64 b 4))))) (cbrt.f64 (-.f64 2 (.f64 b (+.f64 (*.f64 1/2 b) -1)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))) (-.f64 (.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))) (-.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (*.f64 b b) 3) 1/8)))
(.f64 (/.f64 (-.f64 (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 (pow.f64 (+.f64 b 2) 6) (.f64 (.f64 (pow.f64 b 6) (pow.f64 b 6)) 1/64))) (-.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 b 6) 1/8)))
(.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 b (.f64 b -1/2)) (+.f64 b 2))) (+.f64 (pow.f64 (+.f64 b 2) 6) (.f64 (pow.f64 b 12) -1/64))) (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 b 6) -1/8)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 b 2) (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)))) (+.f64 (pow.f64 (+.f64 b 2) 6) (.f64 (pow.f64 b 12) -1/64))) (+.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 b 6) -1/8)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 b (.f64 (+.f64 b 2) (.f64 b 1/2))))) (+.f64 (pow.f64 (pow.f64 (+.f64 b 2) 3) 3) (pow.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) 3))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (-.f64 (.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) (.f64 (pow.f64 (.f64 b b) 3) 1/8)) (.f64 (pow.f64 (+.f64 b 2) 3) (.f64 (pow.f64 (.f64 b b) 3) 1/8)))))
(.f64 (/.f64 (-.f64 (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 (pow.f64 (pow.f64 (+.f64 b 2) 3) 3) (pow.f64 (.f64 (pow.f64 b 6) 1/8) 3))) (+.f64 (pow.f64 (+.f64 b 2) 6) (.f64 (.f64 (pow.f64 b 6) 1/8) (-.f64 (.f64 (pow.f64 b 6) 1/8) (pow.f64 (+.f64 b 2) 3)))))
(.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 b (.f64 b -1/2)) (+.f64 b 2))) (fma.f64 (pow.f64 (pow.f64 b 6) 3) 1/512 (pow.f64 (pow.f64 (+.f64 b 2) 3) 3))) (fma.f64 (.f64 (pow.f64 b 6) 1/8) (-.f64 (.f64 (pow.f64 b 6) 1/8) (pow.f64 (+.f64 b 2) 3)) (pow.f64 (+.f64 b 2) 6)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 b 2) (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)))) (fma.f64 (pow.f64 (pow.f64 b 6) 3) 1/512 (pow.f64 (pow.f64 (+.f64 b 2) 3) 3))) (fma.f64 (.f64 (pow.f64 b 6) 1/8) (-.f64 (.f64 (pow.f64 b 6) 1/8) (pow.f64 (+.f64 b 2) 3)) (pow.f64 (+.f64 b 2) 6)))
(.f64 (/.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))) (-.f64 (.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4)))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(.f64 (/.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 4) (.f64 (*.f64 (pow.f64 b 4) (pow.f64 b 4)) 1/16))) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)))
(.f64 (/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 4) (.f64 (pow.f64 b 8) -1/16))) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)))
(.f64 (/.f64 (-.f64 2 (.f64 b (+.f64 (.f64 1/2 b) -1))) (+.f64 (pow.f64 (+.f64 b 2) 4) (.f64 (pow.f64 b 8) -1/16))) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)))
(.f64 (/.f64 (+.f64 b (-.f64 2 (.f64 b (.f64 b 1/2)))) (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3))) (+.f64 (.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (+.f64 (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4)) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))))
(.f64 (/.f64 (+.f64 b (-.f64 2 (.f64 1/2 (.f64 b b)))) (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) 2) 3) (.f64 (pow.f64 (pow.f64 b 4) 3) 1/64))) (+.f64 (pow.f64 (+.f64 b 2) 4) (.f64 (.f64 (pow.f64 b 4) 1/4) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)))))
(.f64 (/.f64 (+.f64 2 (.f64 (+.f64 (.f64 b -1/2) 1) b)) (+.f64 (pow.f64 (+.f64 b 2) 6) (.f64 (pow.f64 b 12) -1/64))) (fma.f64 (*.f64 (pow.f64 b 4) 1/4) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (pow.f64 (+.f64 b 2) 4)))
(.f64 (/.f64 (-.f64 2 (.f64 b (+.f64 (.f64 1/2 b) -1))) (+.f64 (pow.f64 (+.f64 b 2) 6) (.f64 (pow.f64 b 12) -1/64))) (fma.f64 (*.f64 (pow.f64 b 4) 1/4) (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (pow.f64 (+.f64 b 2) 4)))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1)
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1)
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2) 2)
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 3)
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) 3)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(.f64 1/2 (.f64 b b))
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(.f64 1/2 (.f64 b b))
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(.f64 1/2 (.f64 b b))
(pow.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(.f64 1/2 (.f64 b b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(.f64 1/2 (.f64 b b))
(cbrt.f64 (.f64 (pow.f64 (.f64 b b) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))

eval139.0ms (2%)

Compiler: Compiled 6780 to 5114 computations (24.6% saved)

prune63.0ms (0.9%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	348	7	355
Fresh	0	3	3
Picked	0	1	1
Done	2	4	6
Total	350	15	365

Error

0.2b

Counts

365 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(pow.f64 (sqrt.f64 1/2) 2)
▶	12.6b	(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
▶	53.3b	(/.f64 (/.f64 2 b) b)
▶	36.6b	(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 1/2 (.f64 b b))) (+.f64 2 (.f64 1/2 (*.f64 b b))))))
▶	22.5b	(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
✓	20.9b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	53.1b	(/.f64 2 (*.f64 b b))
✓	31.4b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
✓	12.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	61.8b	(/.f64 1 b)
	23.6b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
✓	39.2b	(+.f64 1/2 (*.f64 1/4 a))
✓	40.5b	(+.f64 1/2 (*.f64 -1/4 b))
	30.3b	(exp.f64 a)
	39.2b	1/2

Compiler

Compiled 237 to 184 computations (22.4% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

series32.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	b	@	-inf	(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
14.0ms	b	@	inf	(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
1.0ms	b	@	0	(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
0.0ms	b	@	0	(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
0.0ms	b	@	0	(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

862×	`associate-/l*`
756×	`associate-/r*`
606×	`associate-r`
538×	`associate-l`
410×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

158 → 196

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize6.0ms (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)

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

simplify52.0ms (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))

localize40.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 b b))
✓	0.0b	(.f64 (+.f64 2 (.f64 1/2 (.f64 b b))) (+.f64 2 (.f64 1/2 (*.f64 b b))))
✓	14.0b	(-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 1/2 (.f64 b b))) (+.f64 2 (.f64 1/2 (.f64 b b)))))
✓	20.6b	(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 1/2 (.f64 b b))) (+.f64 2 (.f64 1/2 (*.f64 b b))))))

Compiler

Compiled 119 to 73 computations (38.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite118.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`associate-+l+`
442×	`+-commutative`
438×	`add-sqr-sqrt`
420×	`*-un-lft-identity`
418×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	129
1	426	113
2	6261	113

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

Inputs

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

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

Outputs

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

simplify142.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate--r+`
1126×	`+-commutative`
1014×	`associate-+r-`
980×	`associate-+l-`
708×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	484	11713
1	1370	10351
2	5902	10331

Stop Event

1×	node limit

Counts

227 → 299

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 10 computations (56.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`associate-*r/`
1080×	`*-commutative`
1078×	`associate-*l/`
882×	`associate-/r*`
652×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	223	23
2	3110	23

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))

Outputs

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

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-*r/`
1160×	`distribute-lft-in`
1040×	`associate-/r*`
1034×	`distribute-rgt-in`
912×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	257	4695
1	775	4521
2	2941	4521

Stop Event

1×	node limit

Counts

91 → 151

Calls

Call 1

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

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

eval385.0ms (5.5%)

Compiler: Compiled 21551 to 14733 computations (31.6% saved)

prune151.0ms (2.2%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	747	7	754
Fresh	0	5	5
Picked	0	1	1
Done	1	8	9
Total	748	21	769

Error

0.2b

Counts

769 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(pow.f64 (sqrt.f64 1/2) 2)
	13.8b	(pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)) 2)
	13.9b	(pow.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) 2)
	39.7b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) 2)
✓	53.3b	(/.f64 (/.f64 2 b) b)
✓	36.6b	(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 (.f64 b b) (.f64 (+.f64 2 (.f64 1/2 (.f64 b b))) (+.f64 2 (.f64 1/2 (*.f64 b b))))))
	40.1b	(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 -4 (.f64 b b)))
	33.0b	(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (log1p.f64 (expm1.f64 (-.f64 (.f64 b b) (pow.f64 (fma.f64 (*.f64 b b) 1/2 2) 2)))))
✓	22.5b	(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
✓	20.9b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
	53.1b	(/.f64 2 (*.f64 b b))
✓	31.4b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
✓	12.1b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	61.8b	(/.f64 1 b)
	44.9b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)
	23.6b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
✓	39.2b	(+.f64 1/2 (*.f64 1/4 a))
✓	40.5b	(+.f64 1/2 (*.f64 -1/4 b))
	53.3b	(*.f64 (/.f64 2 b) (/.f64 1 b))
	30.3b	(exp.f64 a)
	39.2b	1/2

Compiler

Compiled 262 to 207 computations (21% saved)

regimes45.0ms (0.6%)

Counts

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.2b	1	`(exp.f64 a)`
0.2b	1	`(exp.f64 b)`

Compiler

Compiled 319 to 218 computations (31.7% saved)

regimes35.0ms (0.5%)

Counts

22 → 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 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 -4 (.f64 b b)))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.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 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) 2)

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

Calls

5 calls:

11.0ms	b
10.0ms	a
3.0ms	(exp.f64 b)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.3b	1	`(exp.f64 a)`
0.3b	1	`(exp.f64 b)`

Compiler

Compiled 197 to 130 computations (34% saved)

regimes69.0ms (1%)

Counts

19 → 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 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 -4 (.f64 b b)))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.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 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))

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

Calls

4 calls:

26.0ms	b
17.0ms	(exp.f64 b)
17.0ms	a
4.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 165 to 110 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000041815921634	1.0000113030780515
0.0ms	3.1202941663215204e-6	0.9999999885042503

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes58.0ms (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 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 -4 (.f64 b b)))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.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 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

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

Calls

4 calls:

26.0ms	b
17.0ms	a
6.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.7b	2	`a`
0.4b	3	`b`
0.7b	2	`(exp.f64 a)`
0.4b	3	`(exp.f64 b)`

Compiler

Compiled 156 to 106 computations (32.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000041815921634	1.0000113030780515
0.0ms	3.1202941663215204e-6	0.9999999885042503

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes110.0ms (1.6%)

Counts

17 → 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 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 -4 (.f64 b b)))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.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 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
(pow.f64 (sqrt.f64 1/2) 2)

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

Calls

4 calls:

78.0ms	b
17.0ms	a
6.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.7b	2	`a`
0.6b	3	`b`
0.7b	2	`(exp.f64 a)`
0.6b	3	`(exp.f64 b)`

Compiler

Compiled 149 to 103 computations (30.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000041815921634	1.0000113030780515
0.0ms	3.1202941663215204e-6	0.9999999885042503

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes73.0ms (1%)

Counts

15 → 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 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 -4 (.f64 b b)))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.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 1 (+.f64 1 (exp.f64 b)))

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

Calls

4 calls:

47.0ms	b
15.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
0.7b	2	`a`
10.7b	3	`b`
0.7b	2	`(exp.f64 a)`
12.1b	1	`(exp.f64 b)`

Compiler

Compiled 137 to 95 computations (30.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3262054695040537e-13

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes104.0ms (1.5%)

Counts

14 → 4

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

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

Calls

3 calls:

51.0ms	b
45.0ms	a
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
11.7b	2	`a`
10.8b	4	`b`
11.9b	2	`(exp.f64 a)`

Compiler

Compiled 127 to 87 computations (31.5% saved)

bsearch55.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
12.0ms	4003206.5888621663	826523535.8695455
13.0ms	6.768372704958822e-106	1.664810645739648e-102
30.0ms	-9.398833254167607e-139	-1.472527417549543e-140

Results

50.0ms

352×

body

256

valid

Compiler

Compiled 329 to 273 computations (17% saved)

regimes52.0ms (0.7%)

Counts

13 → 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 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.f64 -4 (.f64 b b)))
(/.f64 (.f64 1 (+.f64 (+.f64 b -2) (.f64 b (.f64 b -1/2)))) (-.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:

35.0ms	a
14.0ms	b

Results

Error	Segments	Branch
23.6b	1	`a`
21.7b	2	`b`

Compiler

Compiled 121 to 83 computations (31.4% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	1.1303014172148325e-5	458.2376230884983

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 195 to 163 computations (16.4% saved)

regimes19.0ms (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:

11.0ms	b
5.0ms	a

Results

Error	Segments	Branch
23.6b	1	`a`
21.8b	2	`b`

Compiler

Compiled 53 to 40 computations (24.5% saved)

bsearch45.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	4.369067245395511e-299	1.88819073570574e-295

Results

43.0ms

128×

body

256

valid

Compiler

Compiled 175 to 154 computations (12% saved)

regimes67.0ms (1%)

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:

35.0ms	b
30.0ms	a

Results

Error	Segments	Branch
35.1b	2	`a`
30.0b	2	`b`

Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	1.1303014172148325e-5	458.2376230884983

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 159 to 127 computations (20.1% saved)

regimes11.0ms (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:

5.0ms	a
4.0ms	b

Results

Error	Segments	Branch
39.2b	1	`a`
39.2b	1	`b`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes7.0ms (0.1%)

Accuracy

Total -23.2b remaining (-59.1%)

Threshold costs -23.2b (-59.1%)

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:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
39.2b	1	`a`
39.2b	1	`b`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative`
8×	`sub-neg`
6×	`if-if-or-not`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	528
1	96	528
2	101	528
3	103	528
4	104	528

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 5902958103587057/1180591620717411303424) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2251822331683385/2251799813685248) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 5902958103587057/1180591620717411303424) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2251822331683385/2251799813685248) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 5902958103587057/1180591620717411303424) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2251822331683385/2251799813685248) (/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -4558654696180483/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048) (exp.f64 a) (if (<=.f64 b 4160851854339257/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 135000000) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 2 (.f64 b b))) 1))))
(if (<=.f64 b 4165829655317709/2251799813685248) (+.f64 1/2 (.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 2 (.f64 b b))) 1))
(if (<=.f64 b 6833189802607531/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 8106479329266893/4503599627370496) (+.f64 1/2 (.f64 1/4 a)) (/.f64 2 (.f64 b b)))
(+.f64 1/2 (*.f64 1/4 a))
1/2

Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 5902958103587057/1180591620717411303424) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2251822331683385/2251799813685248) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 5902958103587057/1180591620717411303424) (not (<=.f64 (exp.f64 b) 2251822331683385/2251799813685248))) (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 b 1))))
(if (<=.f64 (exp.f64 b) 5902958103587057/1180591620717411303424) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2251822331683385/2251799813685248) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 5902958103587057/1180591620717411303424) (not (<=.f64 (exp.f64 b) 2251822331683385/2251799813685248))) (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 b) 5902958103587057/1180591620717411303424) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2251822331683385/2251799813685248) (/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (or (<=.f64 (exp.f64 b) 5902958103587057/1180591620717411303424) (not (<=.f64 (exp.f64 b) 2251822331683385/2251799813685248))) (/.f64 1 (+.f64 (exp.f64 b) 1)) (/.f64 (exp.f64 a) (+.f64 2 (+.f64 a b))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -4558654696180483/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048) (exp.f64 a) (if (<=.f64 b 4160851854339257/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 b 135000000) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 2 (.f64 b b))) 1))))
(if (<=.f64 b -4558654696180483/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048) (exp.f64 a) (if (<=.f64 b 4160851854339257/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 b 135000000) (exp.f64 a) (+.f64 (+.f64 1 (/.f64 2 (.f64 b b))) -1))))
(if (<=.f64 b 4165829655317709/2251799813685248) (+.f64 1/2 (.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 2 (.f64 b b))) 1))
(if (<=.f64 b 4165829655317709/2251799813685248) (+.f64 1/2 (.f64 a 1/4)) (+.f64 (+.f64 1 (/.f64 2 (.f64 b b))) -1))
(if (<=.f64 b 6833189802607531/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 6833189802607531/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (+.f64 1/2 (*.f64 a 1/4)) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 b 8106479329266893/4503599627370496) (+.f64 1/2 (.f64 1/4 a)) (/.f64 2 (.f64 b b)))
(if (<=.f64 b 8106479329266893/4503599627370496) (+.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 215 to 158 computations (26.5% saved)

soundness0.0ms (0%)

end122.0ms (1.7%)

Compiler: Compiled 193 to 122 computations (36.8% saved)