Details

analyze21.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample847.0ms (12.8%)

Results

818.0ms	8256×	body	256	valid
16.0ms	187×	body	256	unsamplable

Bogosity

preprocess13.0ms (0.2%)

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)

simplify36.0ms (0.5%)

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

Accurracy

99.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	99.6%	(/.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)))
1.0ms	b	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite107.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`prod-diff`
948×	`log-prod`
600×	`pow-prod-down`
542×	`prod-exp`
474×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	187	40
2	2561	40

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

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

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1622×	`fma-def`
838×	`distribute-lft-in`
832×	`distribute-rgt-in`
672×	`unswap-sqr`
516×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	4302
1	783	4158
2	2462	4110

Stop Event

1×	node limit

Counts

114 → 160

Calls

Call 1

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

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

eval79.0ms (1.2%)

Compiler: Compiled 3409 to 1604 computations (52.9% saved)

prune55.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	154	6	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	6	161

Accurracy

100.0%

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.1%	(/.f64 (exp.f64 a) (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
▶	67.4%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	80.3%	(/.f64 1 (+.f64 1 (exp.f64 b)))
	80.2%	(+.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))))
▶	99.1%	(exp.f64 (.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
▶	99.6%	(exp.f64 (.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))

Compiler

Compiled 190 to 144 computations (24.2% saved)

localize19.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)
✓	99.3%	(*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	97.9%	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	92.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 64 to 20 computations (68.8% saved)

series140.0ms (2.1%)

Counts

4 → 64

Calls

24 calls:

Time	Variable		Point	Expression
56.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
33.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
29.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	b	@	0	(*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite169.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`prod-diff`
1274×	`log-prod`
810×	`fma-def`
494×	`expm1-udef`
492×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	291	100
2	3792	100

Stop Event

1×	node limit

Counts

4 → 289

Calls

Call 1

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

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

simplify253.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1128×	`unswap-sqr`
694×	`fma-neg`
578×	`log-prod`
540×	`fma-def`
508×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	13119
1	1099	12771
2	3932	12745

Stop Event

1×	node limit

Counts

353 → 288

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 -1/3 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 -1/3 (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 1/3 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(+.f64 (.f64 -1/6 (.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 -1/3 (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 1/3 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))
(+.f64 (.f64 -1/6 (.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 -1/3 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 1/3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (.f64 -1/18 (.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 1/3 a)
(+.f64 (.f64 1/3 a) (.f64 -1/3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (.f64 1/3 a) (.f64 -1/3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (.f64 1/3 a) (.f64 -1/3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 1/3 a)
(+.f64 (.f64 1/3 a) (.f64 -1/3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (.f64 1/3 a) (.f64 -1/3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (.f64 1/3 a) (.f64 -1/3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 1/3 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (.f64 -1/3 (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (.f64 -1/3 (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 -1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 -1/18 (.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 (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 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.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 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (log.f64 (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log.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 (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 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a 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 0 (log.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 b b)) (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(+.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
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(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) a)
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(fma.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a)
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(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) 2)) (cbrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) 2)) (cbrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) 2)) (cbrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 3 (sqrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))) (sqrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 3 (sqrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))) (sqrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 3 (sqrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))) (sqrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a a)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (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 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 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 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 (.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 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))))) (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))))))
(-.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (log1p.f64 (exp.f64 b)))
(fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (neg.f64 (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 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 -1/2 (*.f64 a a)))) (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 1 (/.f64 1 (+.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) -1/6) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 -1/2 (.f64 a a))))) (log1p.f64 (exp.f64 b)))
(-.f64 (fma.f64 (.f64 (pow.f64 a 3) -1/6) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 (.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 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (log1p.f64 (exp.f64 b)))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 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)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 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)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 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)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 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)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 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)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 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 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(-.f64 (-.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 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 (+.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 (-.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 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 (/.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 (neg.f64 b) (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(*.f64 -1/3 (log.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (log1p.f64 (exp.f64 b)) -1/3)
(+.f64 (.f64 -1/3 (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 1/3 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(fma.f64 -1/3 (log1p.f64 (exp.f64 b)) (.f64 (.f64 a 1/3) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (.f64 a 1/3) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (log1p.f64 (exp.f64 b)) -1/3))
(+.f64 (.f64 -1/6 (.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 -1/3 (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 1/3 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))
(fma.f64 -1/6 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a a)) (fma.f64 -1/3 (log1p.f64 (exp.f64 b)) (.f64 (.f64 a 1/3) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(fma.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a a)) -1/6 (fma.f64 (.f64 a 1/3) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (log1p.f64 (exp.f64 b)) -1/3)))
(+.f64 (.f64 -1/6 (.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 -1/3 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 1/3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (.f64 -1/18 (.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 -1/6 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a a)) (fma.f64 -1/3 (log1p.f64 (exp.f64 b)) (fma.f64 1/3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 (*.f64 -1/18 (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)))))))
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a
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(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
a
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(-.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))))
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(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
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(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) 2)) (cbrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) 2)) (cbrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) 2)) (cbrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (.f64 3 (sqrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))) (sqrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (.f64 3 (sqrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))) (sqrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (.f64 3 (sqrt.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))) (sqrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3)) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	100.0%	(+.f64 1 (exp.f64 b))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite70.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`pow1`
1424×	`add-exp-log`
1424×	`log1p-expm1-u`
1424×	`expm1-log1p-u`
1394×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	163	28
2	2016	28

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

simplify116.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1246×	`unswap-sqr`
824×	`fma-def`
536×	`div-sub`
452×	`associate-/r*`
420×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1553
1	348	1367
2	1150	1077
3	5345	1077

Stop Event

1×	node limit

Counts

65 → 93

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 a))
✓	100.0%	(/.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))

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`pow1`
1562×	`add-exp-log`
1562×	`log1p-expm1-u`
1562×	`expm1-log1p-u`
1530×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	30
2	2119	30

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

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

simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1158×	`distribute-lft-in`
810×	`fma-def`
720×	`associate-/r*`
678×	`div-sub`
650×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2077
1	392	1693
2	1304	1449
3	5082	1449

Stop Event

1×	node limit

Counts

71 → 106

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

localize224.0ms (3.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	99.3%	(.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3)
	97.9%	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
	92.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 64 to 20 computations (68.8% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite99.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`prod-diff`
1274×	`log-prod`
810×	`fma-def`
494×	`expm1-udef`
492×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	291	56
2	3791	56

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs
(+.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 a (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 0 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1)
(-.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))
(/.f64 1 (/.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (neg.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (neg.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) (fma.f64 a a (-.f64 (.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)
(pow.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)
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(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (cbrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (cbrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (cbrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (.f64 a 3) (.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(+.f64 (.f64 3 a) (.f64 3 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) 1)
(/.f64 (.f64 3 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (.f64 3 (-.f64 (.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 3) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (.f64 (-.f64 (.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 3) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) 9))
(log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(cbrt.f64 (pow.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(exp.f64 (log.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(exp.f64 (.f64 (log.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(fma.f64 3 a (*.f64 3 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(fma.f64 a 3 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))

simplify123.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-+l+`
994×	`associate-+r+`
688×	`unswap-sqr`
460×	`associate-/l*`
362×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	6459
1	893	6363
2	2749	6283

Stop Event

1×	node limit

Counts

175 → 211

Calls

Call 1

Inputs
(*.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 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 -3 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (*.f64 -3 (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 -3/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 -3 (log.f64 (+.f64 1 (exp.f64 b))))))
(+.f64 (.f64 3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 -3/2 (.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 -3 (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 -1/2 (.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 3 a)
(+.f64 (.f64 -3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (.f64 3 a))
(+.f64 (.f64 -3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (.f64 3 a))
(+.f64 (.f64 -3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (.f64 3 a))
(*.f64 3 a)
(+.f64 (.f64 -3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (.f64 3 a))
(+.f64 (.f64 -3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (.f64 3 a))
(+.f64 (.f64 -3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (.f64 3 a))
(*.f64 3 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 -3 (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 3 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (.f64 -3 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (.f64 -3/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2)))))
(+.f64 (.f64 -3 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 -1/2 (.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 -3/2 (.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 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 a (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 0 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1)
(-.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))
(/.f64 1 (/.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (neg.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (neg.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) (fma.f64 a a (-.f64 (.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)
(pow.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)
(sqrt.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(log.f64 (*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(log.f64 (*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 1 (expm1.f64 a))))
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(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (cbrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (cbrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (+.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (.f64 a 3) (.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(+.f64 (.f64 3 a) (.f64 3 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) 1)
(/.f64 (.f64 3 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (.f64 3 (-.f64 (.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 3) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (.f64 (-.f64 (.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 3) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) 9))
(log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(cbrt.f64 (pow.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(exp.f64 (log.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(exp.f64 (.f64 (log.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(fma.f64 3 a (*.f64 3 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(fma.f64 a 3 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))

Outputs
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(-.f64 (+.f64 a (*.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b))))) (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 -1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(-.f64 (fma.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (.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)))) (log1p.f64 (exp.f64 b)))
(-.f64 (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 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 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (.f64 -1/2 (.f64 a a)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (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))))) (fma.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (.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))))) (log1p.f64 (exp.f64 b)))
(-.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))))) (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 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)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(-.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 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(-.f64 (-.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)) 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) (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (+.f64 a (fma.f64 -1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
(+.f64 (fma.f64 -1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) a) (-.f64 (-.f64 (.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 b (+.f64 1 (exp.f64 a)))) (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 (.f64 (pow.f64 b 3) (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1 (+.f64 1 (exp.f64 a))))) -1/6)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 a (log1p.f64 (exp.f64 a))))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(*.f64 -3 (log.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (log1p.f64 (exp.f64 b)) -3)
(+.f64 (.f64 3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (*.f64 -3 (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 (log1p.f64 (exp.f64 b)) -3))
(fma.f64 (log1p.f64 (exp.f64 b)) -3 (.f64 a (.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 3)))
(fma.f64 (log1p.f64 (exp.f64 b)) -3 (*.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) 3))
(+.f64 (.f64 3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 -3/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 -3 (log.f64 (+.f64 1 (exp.f64 b))))))
(fma.f64 3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 -3/2 (.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)) -3)))
(fma.f64 (+.f64 a (.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b))))) 3 (fma.f64 (.f64 -3/2 (.f64 a a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 (log1p.f64 (exp.f64 b)) -3)))
(fma.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) 3 (fma.f64 (.f64 -3/2 (.f64 a a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (log1p.f64 (exp.f64 b)) -3)))
(+.f64 (.f64 3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (.f64 -3/2 (.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 -3 (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 -1/2 (.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 3 (.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 -3/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a a)) (fma.f64 -3 (log1p.f64 (exp.f64 b)) (.f64 -1/2 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
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(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) 1)
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(/.f64 (.f64 3 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 3 (/.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))))
(.f64 (/.f64 3 (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)))
(.f64 (/.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))))))) 3)
(/.f64 (.f64 3 (-.f64 (.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(/.f64 (.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 3) (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 3 (/.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))))
(.f64 (/.f64 3 (fma.f64 a a (.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)))
(.f64 (/.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))))))) 3)
(/.f64 (.f64 (-.f64 (.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 3) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (cbrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 3)
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (pow.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3) 1/3)
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (sqrt.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) 9))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2) 9))
(fabs.f64 (*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(cbrt.f64 (pow.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(expm1.f64 (log1p.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (log.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (.f64 (log.f64 (.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (expm1.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(fma.f64 3 a (*.f64 3 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(fma.f64 a 3 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 3 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))

localize77.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	100.0%	(.f64 1/2 (.f64 b b))
✓	99.3%	(/.f64 (exp.f64 a) (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
✓	90.1%	(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 87 to 46 computations (47.1% saved)

series8.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite104.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`fma-def`
760×	`fma-neg`
706×	`expm1-udef`
702×	`log1p-udef`
414×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	156
1	416	144
2	5519	132

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

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

simplify179.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

692×	`cancel-sign-sub-inv`
618×	`fma-def`
482×	`fma-neg`
428×	`distribute-rgt-neg-in`
396×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	11802
1	1219	10378
2	4370	10252

Stop Event

1×	node limit

Counts

222 → 271

Calls

Call 1

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

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

eval621.0ms (9.4%)

Compiler: Compiled 32205 to 16785 computations (47.9% saved)

prune266.0ms (4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1183	8	1191
Fresh	1	0	1
Picked	1	0	1
Done	3	1	4
Total	1188	9	1197

Accurracy

100.0%

Counts

1197 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	49.9%	(/.f64 1 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
▶	80.3%	(/.f64 1 (+.f64 2 (expm1.f64 b)))
▶	37.1%	(/.f64 1 (+.f64 2 b))
	38.8%	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
▶	37.1%	(+.f64 1/2 (*.f64 b -1/4))
▶	39.2%	(+.f64 1/2 (*.f64 1/4 a))
	54.6%	(exp.f64 a)
	39.4%	1/2

Compiler

Compiled 130 to 107 computations (17.7% saved)

localize7.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 2 (expm1.f64 b)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(/.f64 1 (+.f64 2 (expm1.f64 b)))
0.0ms	b	@	-inf	(/.f64 1 (+.f64 2 (expm1.f64 b)))
0.0ms	b	@	0	(/.f64 1 (+.f64 2 (expm1.f64 b)))

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`pow1`
1616×	`add-exp-log`
1614×	`log1p-expm1-u`
1612×	`expm1-log1p-u`
1588×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	185	17
2	2224	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(/.f64 1 (+.f64 2 (expm1.f64 b)))

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

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1064×	`fma-def`
982×	`associate-/r*`
768×	`fma-neg`
622×	`exp-prod`
620×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	920
1	214	782
2	567	672
3	2737	672
4	6694	672

Stop Event

1×	node limit

Counts

34 → 44

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

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

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize28.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 2 b))

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`pow1`
1338×	`add-exp-log`
1336×	`log1p-expm1-u`
1336×	`expm1-log1p-u`
1316×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	13
2	1836	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-/r*`
1286×	`fma-def`
896×	`fma-neg`
532×	`associate-r`
494×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	948
1	236	810
2	645	700
3	2987	688
4	7629	688

Stop Event

1×	node limit

Counts

34 → 57

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

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

localize13.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(.f64 1/2 (.f64 b b))
✓	99.5%	(/.f64 1 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite106.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`log-prod`
894×	`fma-def`
662×	`pow-prod-down`
520×	`pow-exp`
496×	`pow-prod-up`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	244	27
2	3256	23

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

602×	`associate-+r+`
572×	`associate-r`
564×	`associate-l`
556×	`associate-+l+`
516×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1585
1	372	1513
2	955	1497
3	4100	1495

Stop Event

1×	node limit

Counts

51 → 84

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

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

eval119.0ms (1.8%)

Compiler: Compiled 2561 to 1996 computations (22.1% saved)

prune99.0ms (1.5%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	198	4	202
Fresh	0	3	3
Picked	0	1	1
Done	0	5	5
Total	198	13	211

Accurracy

100.0%

Counts

211 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.4%	(/.f64 (/.f64 2 b) b)
✓	67.4%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	15.5%	(/.f64 2 (*.f64 b b))
✓	49.9%	(/.f64 1 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
✓	80.3%	(/.f64 1 (+.f64 2 (expm1.f64 b)))
✓	37.1%	(/.f64 1 (+.f64 2 b))
▶	3.3%	(/.f64 1 b)
▶	60.9%	(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
	38.8%	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
✓	37.1%	(+.f64 1/2 (*.f64 b -1/4))
✓	39.2%	(+.f64 1/2 (*.f64 1/4 a))
▶	54.6%	(exp.f64 a)
	39.4%	1/2

Compiler

Compiled 148 to 120 computations (18.9% saved)

localize11.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (/.f64 1 (+.f64 2 b)))
	100.0%	(/.f64 1 (+.f64 2 b))
✓	96.1%	(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite101.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`unpow-prod-down`
784×	`fma-def`
758×	`log-prod`
630×	`prod-diff`
476×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	210	32
2	2961	32

Stop Event

1×	node limit

Counts

2 → 181

Calls

Call 1

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

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

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1096×	`fma-neg`
892×	`distribute-lft-in`
566×	`sqr-pow`
474×	`exp-prod`
426×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	6301
1	1029	6097
2	3191	6091

Stop Event

1×	node limit

Counts

205 → 285

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 2 (*.f64 b b))

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`pow1`
1090×	`add-exp-log`
1090×	`log1p-expm1-u`
1090×	`expm1-log1p-u`
1066×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	128	13
2	1533	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1224×	`log-prod`
1160×	`associate-/r*`
990×	`fma-def`
976×	`distribute-rgt-in`
956×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	433
1	133	433
2	412	433
3	2547	433

Stop Event

1×	node limit

Counts

33 → 25

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

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 2 b) b)

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (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)

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`pow1`
1262×	`add-exp-log`
1262×	`log1p-expm1-u`
1262×	`expm1-log1p-u`
1236×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1718	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-def`
864×	`log-prod`
710×	`log-div`
602×	`distribute-rgt-in`
602×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	653
1	244	653
2	800	653
3	3542	653

Stop Event

1×	node limit

Counts

47 → 39

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 (/.f64 1 b) b))
(.f64 2 (/.f64 1 (.f64 b b)))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(.f64 (/.f64 2 (.f64 b b)) 1)
(.f64 1 (/.f64 2 (.f64 b 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 (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 (/.f64 -2 b) (/.f64 1 (neg.f64 b)))
(*.f64 (/.f64 1 b) (/.f64 2 b))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 b)))
(*.f64 (/.f64 2 (sqrt.f64 b)) (/.f64 (/.f64 1 b) (sqrt.f64 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 2 b) (cbrt.f64 b)))
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (/.f64 2 b) (sqrt.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) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.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 (/.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)))
(pow.f64 (/.f64 2 (*.f64 b b)) 1)
(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 (sqrt.f64 2) b) 2)
(pow.f64 (.f64 b (.f64 b 1/2)) -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))))
(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 (/.f64 1 b) b))
(/.f64 2 (*.f64 b b))
(.f64 2 (/.f64 1 (.f64 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 (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 (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 (/.f64 -2 b) (/.f64 1 (neg.f64 b)))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 1 b) (/.f64 2 b))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 b)))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 (sqrt.f64 b)) (/.f64 (/.f64 1 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 2 (*.f64 b b))
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (/.f64 2 b) (sqrt.f64 b)))
(/.f64 2 (*.f64 b 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) (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)))))
(*.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 (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 2 (*.f64 b b))
(pow.f64 (/.f64 2 (*.f64 b b)) 1)
(/.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 (sqrt.f64 2) b) 2)
(/.f64 2 (*.f64 b b))
(pow.f64 (.f64 b (.f64 b 1/2)) -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))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))

localize2.0ms (0%)

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

eval180.0ms (2.7%)

Compiler: Compiled 6007 to 5065 computations (15.7% saved)

prune69.0ms (1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	404	2	406
Fresh	0	2	2
Picked	0	1	1
Done	6	4	10
Total	410	9	419

Accurracy

100.0%

Counts

419 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	80.3%	(/.f64 1 (+.f64 2 (expm1.f64 b)))
	37.1%	(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
	47.0%	(-.f64 1 1)
	38.8%	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
✓	37.1%	(+.f64 1/2 (*.f64 b -1/4))
✓	39.2%	(+.f64 1/2 (*.f64 1/4 a))
✓	54.6%	(exp.f64 a)
	39.4%	1/2

Compiler

Compiled 65 to 55 computations (15.4% saved)

regimes37.0ms (0.6%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	b
11.0ms	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

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.6%	1	`(exp.f64 a)`
99.6%	1	`(exp.f64 b)`

Compiler

Compiled 195 to 128 computations (34.4% saved)

regimes89.0ms (1.3%)

Counts

16 → 2

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 1 (+.f64 2 b))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(/.f64 1 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(exp.f64 a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

Outputs
(-.f64 1 1)
(/.f64 1 (+.f64 2 (expm1.f64 b)))

Calls

4 calls:

50.0ms	a
24.0ms	b
6.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.6%	2	`a`
99.5%	3	`b`
99.6%	2	`(exp.f64 a)`
99.5%	3	`(exp.f64 b)`

Compiler

Compiled 107 to 80 computations (25.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.120365588319449e-6

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes32.0ms (0.5%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	a
8.0ms	b
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.6%	2	`a`
80.3%	1	`b`
99.6%	2	`(exp.f64 a)`
80.3%	1	`(exp.f64 b)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.120365588319449e-6

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes117.0ms (1.8%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

3 calls:

85.0ms	b
26.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
81.8%	4	`a`
80.8%	2	`b`
80.2%	2	`(exp.f64 a)`

Compiler

Compiled 73 to 55 computations (24.7% saved)

bsearch83.0ms (1.3%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-2.1894830040214587e-106	-1.746521388540682e-107
15.0ms	-1.3079552559718259e-84	-2.5647358906285296e-90
22.0ms	-3220060077977322.5	-13.063922036827188

Results

78.0ms

400×

body

256

valid

Compiler

Compiled 450 to 405 computations (10% saved)

regimes54.0ms (0.8%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	b
13.0ms	a

Results

Accuracy	Segments	Branch
80.2%	2	`a`
65.1%	2	`b`

Compiler

Compiled 67 to 51 computations (23.9% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-3220060077977322.5	-13.063922036827188

Results

18.0ms

160×

body

256

valid

Compiler

Compiled 195 to 180 computations (7.7% saved)

regimes47.0ms (0.7%)

Counts

9 → 6

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	a
11.0ms	b

Results

Accuracy	Segments	Branch
72.3%	6	`a`
65.1%	2	`b`

Compiler

Compiled 47 to 36 computations (23.4% saved)

bsearch76.0ms (1.2%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.119173467290392e-263	2.0365816249797643e-260
16.0ms	5.377474067866556e-298	3.0565539623627774e-292
17.0ms	-2.415703290733673e-202	-3.139838765455549e-205
14.0ms	-3.9226954001381727e-181	-1.0533605726446514e-184
16.0ms	-9.713285741572383e-7	-2.5181280731319923e-14

Results

68.0ms

672×

body

256

valid

Compiler

Compiled 535 to 505 computations (5.6% saved)

regimes57.0ms (0.9%)

Accuracy

Total -44.6b remaining (-249.9%)

Threshold costs -44.6b (-249.9%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	a
6.0ms	b

Results

Accuracy	Segments	Branch
72.1%	6	`a`
65.1%	2	`b`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch121.0ms (1.8%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.119173467290392e-263	2.0365816249797643e-260
18.0ms	5.377474067866556e-298	3.0565539623627774e-292
14.0ms	-2.415703290733673e-202	-3.139838765455549e-205
60.0ms	-3.9226954001381727e-181	-1.0533605726446514e-184
15.0ms	-9.713285741572383e-7	-2.5181280731319923e-14

Results

66.0ms

672×

body

256

valid

Compiler

Compiled 435 to 430 computations (1.1% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
12×	`not-or`
10×	`not-not`
10×	`if-if-or-not`
10×	`if-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	314
1	90	314
2	97	314
3	106	314
4	116	314
5	126	314
6	130	314
7	132	314
8	133	314

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 2 (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -350) (-.f64 1 1) (if (<=.f64 a -2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1) (if (<=.f64 a -4441469790309483/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))))
(if (<=.f64 a -350) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))
(if (<=.f64 a -6422418416702717/18889465931478580854784) (-.f64 1 1) (if (<=.f64 a -1339538405257867/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 a -2206260905240795/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304) (-.f64 1 1) (if (<=.f64 a 8743979407970305/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) 1/2 (if (<=.f64 a 5388893367972923/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (-.f64 1 1) (+.f64 1/2 (.f64 1/4 a)))))))
(if (<=.f64 a -4061235175267895/9444732965739290427392) (-.f64 1 1) (if (<=.f64 a -4018615215773601/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) 1/2 (if (<=.f64 a -1323756543144477/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (-.f64 1 1) (if (<=.f64 a 5617791046444737/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304) 1/2 (if (<=.f64 a 2552633700618753/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (-.f64 1 1) 1/2)))))
1/2

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 2 (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) 0 (/.f64 1 (+.f64 2 (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) 0 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 a -350) (-.f64 1 1) (if (<=.f64 a -2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1) (if (<=.f64 a -4441469790309483/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))))
(if (<=.f64 a -350) 0 (if (or (<=.f64 a -2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (not (<=.f64 a -4441469790309483/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008))) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) (exp.f64 a)))
(if (<=.f64 a -350) 0 (if (or (<=.f64 a -2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (not (<=.f64 a -4441469790309483/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1) (exp.f64 a)))
(if (<=.f64 a -350) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))
(if (<=.f64 a -350) 0 (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 a -350) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 a -6422418416702717/18889465931478580854784) (-.f64 1 1) (if (<=.f64 a -1339538405257867/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (+.f64 1/2 (.f64 1/4 a)) (if (<=.f64 a -2206260905240795/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304) (-.f64 1 1) (if (<=.f64 a 8743979407970305/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) 1/2 (if (<=.f64 a 5388893367972923/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (-.f64 1 1) (+.f64 1/2 (.f64 1/4 a)))))))
(if (<=.f64 a -6422418416702717/18889465931478580854784) 0 (if (<=.f64 a -1339538405257867/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (+.f64 1/2 (.f64 a 1/4)) (if (<=.f64 a -2206260905240795/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304) 0 (if (<=.f64 a 8743979407970305/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) 1/2 (if (<=.f64 a 5388893367972923/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) 0 (+.f64 1/2 (.f64 a 1/4)))))))
(if (<=.f64 a -4061235175267895/9444732965739290427392) (-.f64 1 1) (if (<=.f64 a -4018615215773601/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) 1/2 (if (<=.f64 a -1323756543144477/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (-.f64 1 1) (if (<=.f64 a 5617791046444737/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304) 1/2 (if (<=.f64 a 2552633700618753/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (-.f64 1 1) 1/2)))))
(if (<=.f64 a -4061235175267895/9444732965739290427392) 0 (if (<=.f64 a -4018615215773601/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) 1/2 (if (<=.f64 a -1323756543144477/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) 0 (if (<=.f64 a 5617791046444737/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304) 1/2 (if (<=.f64 a 2552633700618753/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) 0 1/2)))))
1/2

Compiler

Compiled 148 to 121 computations (18.2% saved)

soundness361.0ms (5.5%)

Rules

1544×	`pow1`
1436×	`pow1`
1424×	`add-exp-log`
1424×	`log1p-expm1-u`
1424×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	13
2	1836	13
0	9	40
1	187	40
2	2561	40
0	8	28
1	163	28
2	2016	28
0	146	1553
1	348	1367
2	1150	1077
3	5345	1077

Stop Event

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

Compiler

Compiled 286 to 154 computations (46.2% saved)

end121.0ms (1.8%)

Compiler: Compiled 134 to 103 computations (23.1% saved)

Iter	Nodes	Cost
0	72	314
1	90	314
2	97	314
3	106	314
4	116	314
5	126	314
6	130	314
7	132	314
8	133	314

Iter	Nodes	Cost
0	72	314
1	90	314
2	97	314
3	106	314
4	116	314
5	126	314
6	130	314
7	132	314
8	133	314

Iter	Nodes	Cost
0	72	314
1	90	314
2	97	314
3	106	314
4	116	314
5	126	314
6	130	314
7	132	314
8	133	314