Details

analyze9.0ms (0.1%)

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
50%	50%	50%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	6
95.2%	93.7%	4.7%	0.1%	0%	0%	1.6%	7
96%	93.7%	3.9%	0.1%	0%	0%	2.3%	8
97.2%	93.7%	2.7%	0.1%	0%	0%	3.5%	9
97.8%	93.7%	2.1%	0.1%	0%	0%	4.1%	10
98.5%	93.7%	1.5%	0.1%	0%	0%	4.8%	11
98.8%	93.7%	1.1%	0.1%	0%	0%	5.1%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (15.8%)

Results

898.0ms	8256×	body	256	valid
206.0ms	2952×	body	256	unsamplable

Bogosity

preprocess16.0ms (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)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	10	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

97.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
▶	97.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize29.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	97.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series8.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	b	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	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)))

rewrite74.0ms (1%)

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))

simplify82.0ms (1.2%)

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))

eval54.0ms (0.8%)

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

prune32.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	156	4	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	4	161

Accurracy

99.3%

Counts

161 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	82.2%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	97.6%	(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
▶	98.4%	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	64.1%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	82.2%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	97.6%	(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
▶	98.4%	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 80 to 58 computations (27.5% saved)

localize324.0ms (4.6%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 a))
✓	98.8%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	99.9%	(/.f64 1 (+.f64 1 (exp.f64 b)))
	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	99.9%	(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	98.5%	(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
✓	100.0%	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	65.3%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 95 to 28 computations (70.5% saved)

series114.0ms (1.6%)

Counts

7 → 68

Calls

33 calls:

Time	Variable		Point	Expression
36.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
28.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
23.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	b	@	-inf	(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))

rewrite142.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`log-prod`
1248×	`fma-def`
664×	`expm1-udef`
664×	`log1p-udef`
460×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	139
1	373	137
2	5333	137

Stop Event

1×	node limit

Counts

7 → 286

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

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

simplify202.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1488×	`fma-neg`
760×	`fma-def`
714×	`log-prod`
528×	`associate-r`
496×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	792	15366
1	1895	14360
2	6807	14304

Stop Event

1×	node limit

Counts

354 → 503

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

eval608.0ms (8.5%)

Compiler: Compiled 15800 to 7243 computations (54.2% saved)

prune473.0ms (6.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	799	8	807
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	801	10	811

Accurracy

99.3%

Counts

811 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.7%	(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2)
✓	64.1%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	63.3%	(/.f64 (exp.f64 a) 2)
✓	82.2%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	39.8%	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
▶	39.9%	(+.f64 1/2 (*.f64 a 1/4))
	64.9%	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
▶	82.2%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
▶	49.4%	(exp.f64 a)
	39.7%	1/2
	81.7%	(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2)
✓	64.1%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	63.3%	(/.f64 (exp.f64 a) 2)
✓	82.2%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	39.8%	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
▶	39.9%	(+.f64 1/2 (*.f64 a 1/4))
	64.9%	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
▶	82.2%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
▶	49.4%	(exp.f64 a)
	39.7%	1/2

Compiler

Compiled 260 to 216 computations (16.9% saved)

localize263.0ms (3.7%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 a 3)
✓	99.8%	(*.f64 -1/48 (pow.f64 a 3))
✓	98.5%	(log1p.f64 (exp.f64 b))

Compiler

Compiled 72 to 44 computations (38.9% saved)

series31.0ms (0.4%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
12.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
3.0ms	a	@	inf	(pow.f64 a 3)
1.0ms	a	@	-inf	(pow.f64 a 3)
0.0ms	a	@	0	(*.f64 -1/48 (pow.f64 a 3))

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`pow1`
1676×	`add-exp-log`
1676×	`log1p-expm1-u`
1676×	`expm1-log1p-u`
1638×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	222	29
2	2356	29

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 b))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 a 3)

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1592×	`fma-def`
1108×	`log-prod`
996×	`distribute-rgt-in`
962×	`associate-+r+`
962×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	933
1	271	749
2	852	569
3	2879	557

Stop Event

1×	node limit

Counts

57 → 65

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(-.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1)
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(pow.f64 (pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48))
(cbrt.f64 (pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(exp.f64 (log.f64 (*.f64 -1/48 (pow.f64 a 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
(-.f64 (+.f64 1 (pow.f64 a 3)) 1)
(.f64 a (.f64 a a))
(*.f64 (pow.f64 a 3) 1)
(*.f64 1 (pow.f64 a 3))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (*.f64 a a)))
(.f64 (.f64 a a) a)
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (*.f64 a a)))
(*.f64 (pow.f64 a 3/2) (pow.f64 a 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 3) a)
(*.f64 (pow.f64 (sqrt.f64 a) 3) (pow.f64 (sqrt.f64 a) 3))
(.f64 (.f64 (*.f64 a a) 1) a)
(.f64 (.f64 (*.f64 a a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (.f64 (*.f64 a a) (sqrt.f64 a)) (sqrt.f64 a))
(sqrt.f64 (pow.f64 a 6))
(log.f64 (exp.f64 (pow.f64 a 3)))
(cbrt.f64 (pow.f64 (pow.f64 a 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 a 3)))
(exp.f64 (*.f64 3 (log.f64 a)))
(log1p.f64 (expm1.f64 (pow.f64 a 3)))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 b) 1))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(cbrt.f64 (pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 3))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (log.f64 (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(-.f64 (+.f64 1 (pow.f64 a 3)) 1)
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(.f64 a (.f64 a a))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(*.f64 (pow.f64 a 3) 1)
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(*.f64 1 (pow.f64 a 3))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (*.f64 a a)))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(.f64 (.f64 a a) a)
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (*.f64 a a)))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(*.f64 (pow.f64 a 3/2) (pow.f64 a 3/2))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 3) a)
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(*.f64 (pow.f64 (sqrt.f64 a) 3) (pow.f64 (sqrt.f64 a) 3))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(.f64 (.f64 (*.f64 a a) 1) a)
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(.f64 (.f64 (*.f64 a a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(.f64 (.f64 (*.f64 a a) (sqrt.f64 a)) (sqrt.f64 a))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(sqrt.f64 (pow.f64 a 6))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(log.f64 (exp.f64 (pow.f64 a 3)))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(cbrt.f64 (pow.f64 (pow.f64 a 3) 3))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(expm1.f64 (log1p.f64 (pow.f64 a 3)))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(exp.f64 (*.f64 3 (log.f64 a)))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)
(log1p.f64 (expm1.f64 (pow.f64 a 3)))
(+.f64 1 (-.f64 (pow.f64 a 3) 1))
(+.f64 (pow.f64 a 3) 0)
(pow.f64 a 3)

eval18.0ms (0.2%)

Compiler: Compiled 802 to 600 computations (25.2% saved)

prune26.0ms (0.4%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	3	3
Picked	1	4	5
Done	0	2	2
Total	63	12	75

Accurracy

99.3%

Counts

75 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.7%	(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2)
✓	64.1%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	63.3%	(/.f64 (exp.f64 a) 2)
✓	82.2%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	39.8%	(+.f64 (+.f64 1 (-.f64 (.f64 -1/48 (pow.f64 a 3)) 1)) (+.f64 1/2 (.f64 1/4 a)))
▶	39.8%	(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
✓	39.9%	(+.f64 1/2 (*.f64 a 1/4))
▶	64.9%	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
▶	81.3%	(exp.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))
✓	82.2%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	49.4%	(exp.f64 a)
	39.7%	1/2
▶	81.7%	(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2)
✓	64.1%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	63.3%	(/.f64 (exp.f64 a) 2)
✓	82.2%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	39.8%	(+.f64 (+.f64 1 (-.f64 (.f64 -1/48 (pow.f64 a 3)) 1)) (+.f64 1/2 (.f64 1/4 a)))
▶	39.8%	(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
✓	39.9%	(+.f64 1/2 (*.f64 a 1/4))
▶	64.9%	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
▶	81.3%	(exp.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))
✓	82.2%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	49.4%	(exp.f64 a)
	39.7%	1/2

Compiler

Compiled 328 to 272 computations (17.1% saved)

localize1.9s (26.6%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
✓	98.7%	(cbrt.f64 (log1p.f64 (exp.f64 b)))
	98.5%	(log1p.f64 (exp.f64 b))
✓	100.0%	(-.f64 a (log1p.f64 (exp.f64 a)))
✓	98.9%	(log1p.f64 (exp.f64 a))
	100.0%	(pow.f64 a 3)
	99.8%	(*.f64 -1/48 (pow.f64 a 3))
✓	83.8%	(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
✓	99.9%	(.f64 (.f64 a a) a)
✓	99.8%	(.f64 -1/48 (.f64 (*.f64 a a) a))
✓	99.6%	(pow.f64 (+.f64 (exp.f64 b) 1) -1/2)
✓	99.2%	(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2)

Compiler

Compiled 169 to 99 computations (41.4% saved)

series42.0ms (0.6%)

Counts

9 → 108

Calls

27 calls:

Time	Variable		Point	Expression
15.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
14.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
2.0ms	b	@	0	(cbrt.f64 (log1p.f64 (exp.f64 b)))
2.0ms	b	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
2.0ms	b	@	inf	(cbrt.f64 (log1p.f64 (exp.f64 b)))

rewrite145.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`fma-def`
780×	`expm1-udef`
776×	`log1p-udef`
506×	`add-sqr-sqrt`
490×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	113
1	589	113
2	6469	113

Stop Event

1×	node limit

Counts

9 → 334

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) (pow.f64 (+.f64 (exp.f64 b) 1) -1/2))
(*.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 b) 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2)) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
(.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/4) (.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/4) (pow.f64 (+.f64 (exp.f64 b) 1) -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) (pow.f64 (+.f64 (exp.f64 b) 1) -1/4)) (pow.f64 (+.f64 (exp.f64 b) 1) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) -1) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) -1))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2)))
(/.f64 1 (+.f64 (exp.f64 b) 1))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
(exp.f64 (*.f64 -1 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (.f64 (.f64 -1 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/4) (pow.f64 (+.f64 (exp.f64 b) 1) -1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 (exp.f64 b) 1) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2)) -1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) -1/2) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(fabs.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2)))
(+.f64 1 (fma.f64 -1/48 (pow.f64 a 3) -1))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 1)
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) -1)
(-.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(-.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) -1))) (/.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 2) (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) -1))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 1) 1) (+.f64 1 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 3))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) -1)) (-.f64 1 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 3)) (fma.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 3)) (+.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 2) (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 2)) (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 3))) (neg.f64 (fma.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 -1/48 (pow.f64 a 3) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) 3) 1) (fma.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) (fma.f64 -1/48 (pow.f64 a 3) 1) (+.f64 1 (fma.f64 -1/48 (pow.f64 a 3) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 2) 1) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) -1) 1))
(/.f64 (-.f64 (*.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) (fma.f64 -1/48 (pow.f64 a 3) 1)) 1) (+.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) 1))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) -1/110592) 1/3)
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))
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(fma.f64 1 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))
(fma.f64 1 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 1 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 1 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 1 (neg.f64 (log1p.f64 (exp.f64 a))) a)
(fma.f64 a 1 (neg.f64 (log1p.f64 (exp.f64 a))))
(fma.f64 a 1 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))
(fma.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 2)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 2)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 2)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (log1p.f64 (exp.f64 a))))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (log1p.f64 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))
(fma.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (log1p.f64 (exp.f64 a))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))
(fma.f64 -1 (log1p.f64 (exp.f64 a)) a)
(fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) a)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (log1p.f64 (exp.f64 a))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) a)
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) a)
(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) a)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 1/3))
(pow.f64 (log1p.f64 (exp.f64 b)) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (expm1.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) 3) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))

simplify159.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

706×	`associate-r`
692×	`associate-l`
668×	`fma-neg`
666×	`times-frac`
606×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	679	12036
1	1561	11628
2	5076	11342

Stop Event

1×	node limit

Counts

442 → 385

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (+.f64 (.f64 5/384 (.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(*.f64 -1 (log.f64 2))
(+.f64 (.f64 1/2 a) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (*.f64 -1 (log.f64 2))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (+.f64 (.f64 1/192 (pow.f64 a 4)) (.f64 -1 (log.f64 2)))))
a
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
a
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
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(fma.f64 -1 (log1p.f64 (exp.f64 a)) a)
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(fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) a)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (log1p.f64 (exp.f64 a))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) a)
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) a)
(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))
(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))
(fma.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) a)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 1/3))
(pow.f64 (log1p.f64 (exp.f64 b)) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (expm1.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) 3) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))

Outputs
1/2
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 1/2 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (.f64 (+.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(fma.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1/24) (pow.f64 b 3) (+.f64 1/2 (fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) (.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 0) (*.f64 b b)))))
(+.f64 (fma.f64 (.f64 b b) 0 (.f64 b -1/4)) (fma.f64 1/48 (pow.f64 b 3) 1/2))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)))
(fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (.f64 (.f64 -1/32 (sqrt.f64 1/2)) (.f64 b b))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 b b)) (.f64 (sqrt.f64 1/2) (.f64 b -1/4))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 1/2) b)) (+.f64 (.f64 5/384 (.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (.f64 -1/32 (.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (fma.f64 5/384 (.f64 (sqrt.f64 1/2) (pow.f64 b 3)) (.f64 (.f64 -1/32 (sqrt.f64 1/2)) (*.f64 b b)))))
(+.f64 (fma.f64 -1/4 (.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2)) (fma.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 b b)) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 b 3) 5/384))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/8 (.f64 a a)))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a a) (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (.f64 1/8 (.f64 a a))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/8 (.f64 a a) (.f64 -1/192 (pow.f64 a 4))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(*.f64 -1 (log.f64 2))
(neg.f64 (log.f64 2))
(+.f64 (.f64 1/2 a) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 a (neg.f64 (log.f64 2)))
(-.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (*.f64 -1 (log.f64 2))))
(fma.f64 1/2 a (fma.f64 -1/8 (*.f64 a a) (neg.f64 (log.f64 2))))
(-.f64 (fma.f64 1/2 a (.f64 a (.f64 a -1/8))) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (+.f64 (.f64 1/192 (pow.f64 a 4)) (.f64 -1 (log.f64 2)))))
(fma.f64 1/2 a (fma.f64 -1/8 (*.f64 a a) (fma.f64 1/192 (pow.f64 a 4) (neg.f64 (log.f64 2)))))
(fma.f64 1/2 a (-.f64 (fma.f64 -1/8 (.f64 a a) (.f64 (pow.f64 a 4) 1/192)) (log.f64 2)))
a
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (log1p.f64 (exp.f64 a)))
a
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+.f64 a (log1p.f64 (exp.f64 a)))
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)))
(+.f64 (.f64 1/6 (.f64 b (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))) (cbrt.f64 (log.f64 2)))
(fma.f64 1/6 (.f64 b (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))) (pow.f64 b 2))))))
(+.f64 (fma.f64 1/6 (.f64 b (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (.f64 (.f64 b b) (+.f64 1/8 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))))) (cbrt.f64 (log.f64 2)))
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(log1p.f64 (exp.f64 b))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log1p.f64 (+.f64 (neg.f64 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (expm1.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) 4))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) 3) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) 3))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) 4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2)))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 b) 1))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))

eval187.0ms (2.6%)

Compiler: Compiled 8830 to 6449 computations (27% saved)

prune80.0ms (1.1%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	446	4	450
Fresh	0	1	1
Picked	3	2	5
Done	0	6	6
Total	449	13	462

Accurracy

99.3%

Counts

462 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.1%	(pow.f64 (sqrt.f64 1/2) 2)
✓	64.1%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	63.3%	(/.f64 (exp.f64 a) 2)
✓	82.2%	(/.f64 1 (+.f64 1 (exp.f64 b)))
	39.8%	(+.f64 (+.f64 1 (-.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) 1)) (+.f64 1/2 (.f64 1/4 a)))
✓	39.8%	(+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a)))
✓	39.9%	(+.f64 1/2 (*.f64 a 1/4))
✓	64.9%	(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
	80.6%	(exp.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3) 3)))
	38.8%	(exp.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 3)))
✓	82.2%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	49.4%	(exp.f64 a)
	39.7%	1/2

Compiler

Compiled 273 to 198 computations (27.5% saved)

regimes34.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`a`
98.4%	1	`b`
98.4%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	1	`(exp.f64 a)`
98.4%	1	`(exp.f64 b)`

Compiler

Compiled 183 to 119 computations (35% saved)

regimes29.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	a
8.0ms	b
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 a)
2.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
97.6%	1	`a`
97.6%	1	`b`
97.6%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
97.6%	1	`(exp.f64 a)`
97.6%	1	`(exp.f64 b)`

Compiler

Compiled 155 to 104 computations (32.9% saved)

regimes46.0ms (0.6%)

Counts

13 → 2

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))

Calls

4 calls:

20.0ms	b
14.0ms	a
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.7%	2	`a`
99.2%	3	`b`
98.7%	2	`(exp.f64 a)`
98.8%	3	`(exp.f64 b)`

Compiler

Compiled 112 to 80 computations (28.6% saved)

regimes22.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.7%	2	`a`
98.7%	2	`(exp.f64 a)`

Compiler

Compiled 94 to 69 computations (26.6% saved)

regimes17.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.5%	2	`a`
98.5%	2	`(exp.f64 a)`

Compiler

Compiled 87 to 66 computations (24.1% saved)

regimes25.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(exp.f64 a)
(/.f64 (exp.f64 a) 2)

Calls

3 calls:

12.0ms	a
9.0ms	b
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
77.4%	2	`b`
65.9%	3	`a`
63.3%	1	`(exp.f64 a)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes38.0ms (0.5%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	b
15.0ms	a
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
66.3%	4	`a`
64.0%	2	`(exp.f64 a)`
66.0%	5	`b`

Compiler

Compiled 50 to 35 computations (30% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
39.9%	1	`b`
39.9%	1	`a`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
1/2

Outputs
1/2

Calls

2 calls:

2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
39.7%	1	`a`
39.7%	1	`b`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9994727079175024	0.9999966226073546

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9994727079175024	0.9999966226073546

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9994727079175024	0.9999966226073546

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-1.4620607703151925e+21	-3127.017087223137

Results

16.0ms	160×	body	256	valid
0.0ms	7×	body	256	unsamplable

Compiler

Compiled 135 to 110 computations (18.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9994727079175024

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	291
1	61	291
2	66	291
3	69	291
4	70	291

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 4501347827556811/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 4501347827556811/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 4501347827556811/4503599627370496) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -3200) (exp.f64 a) (/.f64 (exp.f64 a) 2))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a))))
(+.f64 1/2 (*.f64 a 1/4))
1/2

Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 4501347827556811/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 4501347827556811/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 4501347827556811/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 4501347827556811/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 (exp.f64 a) 4501347827556811/4503599627370496) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 4501347827556811/4503599627370496) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -3200) (exp.f64 a) (/.f64 (exp.f64 a) 2))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (+.f64 (.f64 -1/48 (.f64 (.f64 a a) a)) (+.f64 1/2 (.f64 1/4 a))))
(if (<=.f64 (exp.f64 a) 0) (exp.f64 a) (+.f64 (.f64 -1/48 (.f64 a (.f64 a a))) (+.f64 1/2 (.f64 a 1/4))))
(+.f64 1/2 (*.f64 a 1/4))
1/2

Compiler

Compiled 121 to 86 computations (28.9% saved)

soundness507.0ms (7.1%)

Rules

1814×	`pow1`
1676×	`add-exp-log`
1676×	`log1p-expm1-u`
1676×	`expm1-log1p-u`
1638×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	187	40
2	2561	40
0	792	15366
1	1895	14360
2	6807	14304
0	792	15366
1	1895	14360
2	6807	14304
0	11	29
1	222	29
2	2356	29

Stop Event

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

Compiler

Compiled 89 to 58 computations (34.8% saved)

end82.0ms (1.1%)

Compiler: Compiled 250 to 146 computations (41.6% saved)

Details

analyze9.0ms (0.1%)

sample1.1s (15.8%)

preprocess16.0ms (0.2%)

simplify14.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize29.0ms (0.4%)

series8.0ms (0.1%)

rewrite74.0ms (1%)

simplify82.0ms (1.2%)

eval54.0ms (0.8%)

prune32.0ms (0.4%)

localize324.0ms (4.6%)

series114.0ms (1.6%)

rewrite142.0ms (2%)

simplify202.0ms (2.8%)

eval608.0ms (8.5%)

prune473.0ms (6.7%)

localize263.0ms (3.7%)

series31.0ms (0.4%)

rewrite66.0ms (0.9%)

simplify51.0ms (0.7%)

eval18.0ms (0.2%)

prune26.0ms (0.4%)

localize1.9s (26.6%)

series42.0ms (0.6%)

rewrite145.0ms (2%)

simplify159.0ms (2.2%)

eval187.0ms (2.6%)

prune80.0ms (1.1%)

regimes34.0ms (0.5%)

regimes29.0ms (0.4%)

regimes46.0ms (0.6%)

regimes22.0ms (0.3%)

regimes17.0ms (0.2%)

regimes25.0ms (0.4%)

regimes38.0ms (0.5%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.3%)

bsearch0.0ms (0%)

simplify13.0ms (0.2%)

soundness507.0ms (7.1%)

end82.0ms (1.1%)

Profiling