Metrics for Quotient of sum of exps

analyze14.0ms (0.4%)

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)

sample1.0s (26.6%)

Results

793.0ms	8256×	body	256	valid
195.0ms	2983×	body	256	unsamplable

Bogosity

preprocess113.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1088×	`unswap-sqr`
792×	`fma-def`
678×	`*-commutative`
528×	`associate-/l*`
512×	`distribute-rgt-in`

Problems

253×	No Errors
3×	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	22	182
1	34	182
2	46	182
3	63	182
4	111	169
5	236	169
6	513	169
7	1372	169
8	3145	164
9	4781	162
10	6738	154

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.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 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.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 1 (+.f64 1 (exp.f64 (+.f64 (neg.f64 a) b))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 (neg.f64 a) b))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 a b))))
(/.f64 1 (fma.f64 (exp.f64 a) (exp.f64 b) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 (neg.f64 a) 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 32 to 13 computations (59.4% saved)

eval1.0ms (0%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
▶	100.0%	(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
▶	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
▶	100.0%	(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))

Compiler

Compiled 40 to 28 computations (30% saved)

localize46.0ms (1.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	100.0%	(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
✓	100.0%	(+.f64 1 (exp.f64 (-.f64 b a)))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series11.0ms (0.3%)

Counts

4 → 48

Calls

24 calls:

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

rewrite136.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`fma-def`
878×	`log1p-expm1-u`
878×	`expm1-log1p-u`
424×	`expm1-udef`
424×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	107
1	244	107
2	3485	107

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify122.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

504×	`cancel-sign-sub-inv`
498×	`distribute-rgt-neg-in`
488×	`distribute-lft-neg-in`
462×	`fma-def`
418×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	10131
1	1359	9385
2	4863	9353

Stop Event

1×	node limit

Counts

201 → 269

Calls

Call 1

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

eval92.0ms (2.4%)

Compiler: Compiled 6199 to 3437 computations (44.6% saved)

prune40.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	265	4	269
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	267	4	271

Accuracy

100.0%

Counts

271 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.2%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	70.0%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
▶	79.6%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	100.0%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
▶	69.2%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	70.0%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
▶	79.6%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	100.0%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))

Compiler

Compiled 70 to 56 computations (20% saved)

localize357.0ms (9.5%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 a))
✓	99.2%	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	100.0%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	100.0%	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	100.0%	(+.f64 1 (exp.f64 b))
✓	100.0%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
✓	99.2%	(log1p.f64 (exp.f64 (-.f64 b a)))

Compiler

Compiled 78 to 32 computations (59% saved)

series105.0ms (2.8%)

Counts

7 → 72

Calls

27 calls:

Time	Variable		Point	Expression
31.0ms	a	@	-inf	(log1p.f64 (exp.f64 (-.f64 b a)))
28.0ms	b	@	inf	(log1p.f64 (exp.f64 (-.f64 b a)))
23.0ms	b	@	-inf	(log1p.f64 (exp.f64 (-.f64 b a)))
15.0ms	a	@	inf	(log1p.f64 (exp.f64 (-.f64 b a)))
1.0ms	b	@	0	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))

rewrite112.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`prod-diff`
510×	`expm1-udef`
510×	`log1p-udef`
303×	`log1p-expm1-u`
226×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	149
1	392	137
2	5566	137

Stop Event

1×	node limit

Counts

7 → 218

Calls

Call 1

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

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

simplify159.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-r`
576×	`associate-l`
458×	`fma-def`
420×	`exp-prod`
408×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	611	10547
1	1540	10190
2	6172	10090

Stop Event

1×	node limit

Counts

290 → 384

Calls

Call 1

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

eval141.0ms (3.7%)

Compiler: Compiled 7105 to 3996 computations (43.8% saved)

prune67.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	378	6	384
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	380	8	388

Accuracy

100.0%

Counts

388 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.4%	(/.f64 (exp.f64 a) (+.f64 a 2))
▶	38.5%	(/.f64 1 (+.f64 b 2))
✓	70.0%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	79.6%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	37.8%	(+.f64 1/2 (+.f64 (.f64 -1/4 b) (.f64 1/48 (pow.f64 b 3))))
▶	38.3%	(+.f64 1/2 (*.f64 b -1/4))
▶	39.3%	(+.f64 1/2 (*.f64 a 1/4))
	39.0%	1/2
▶	68.4%	(/.f64 (exp.f64 a) (+.f64 a 2))
▶	38.5%	(/.f64 1 (+.f64 b 2))
✓	70.0%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	79.6%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	37.8%	(+.f64 1/2 (+.f64 (.f64 -1/4 b) (.f64 1/48 (pow.f64 b 3))))
▶	38.3%	(+.f64 1/2 (*.f64 b -1/4))
▶	39.3%	(+.f64 1/2 (*.f64 a 1/4))
	39.0%	1/2

Compiler

Compiled 208 to 176 computations (15.4% saved)

localize118.0ms (3.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 1/48 (pow.f64 b 3))
✓	100.0%	(/.f64 1 (+.f64 b 2))
✓	100.0%	(/.f64 (exp.f64 a) (+.f64 a 2))

Compiler

Compiled 85 to 62 computations (27.1% saved)

series4.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite80.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`log1p-expm1-u`
1078×	`expm1-log1p-u`
390×	`fma-def`
372×	`expm1-udef`
372×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	226	55
2	2920	55

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

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

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1250×	`unswap-sqr`
612×	`associate-/l*`
598×	`fma-def`
482×	`associate-*r/`
478×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	2864
1	617	2808
2	1827	2718
3	7095	2680

Stop Event

1×	node limit

Counts

97 → 138

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 a 2)) (.f64 1/4 a)))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 a 3)) (+.f64 (.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a)))
(+.f64 (.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))) (+.f64 (.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a)))
(+.f64 (.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))) (+.f64 (.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 -1/4 b) (.f64 1/8 (pow.f64 b 2))))
(+.f64 1/2 (+.f64 (.f64 -1/4 b) (+.f64 (.f64 -1/16 (pow.f64 b 3)) (*.f64 1/8 (pow.f64 b 2)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 a 2)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 a 2)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(.f64 (sqrt.f64 (exp.f64 a)) (.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 -2 (neg.f64 a))))
(*.f64 (/.f64 1 (+.f64 a 2)) (exp.f64 a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 2))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 a 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 a 2))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 a 2)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 a 2))))
(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 a 3) 8)) (-.f64 (fma.f64 a a 4) (.f64 a 2)))
(*.f64 (/.f64 (exp.f64 a) (fma.f64 a a -4)) (+.f64 a -2))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2)
(pow.f64 (/.f64 (+.f64 a 2) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (+.f64 -2 (neg.f64 a))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 a 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(exp.f64 (-.f64 a (log.f64 (+.f64 a 2))))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 a 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 b)))) 1)
(*.f64 1 (/.f64 1 (+.f64 2 b)))
(*.f64 (/.f64 1 (+.f64 2 b)) 1)
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 b) -2)) (cbrt.f64 (/.f64 1 (+.f64 2 b))))
(*.f64 (pow.f64 (+.f64 2 b) -1/2) (pow.f64 (+.f64 2 b) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 b)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 b)) -1) (pow.f64 (sqrt.f64 (+.f64 2 b)) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (-.f64 (fma.f64 b b 4) (.f64 2 b)))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(pow.f64 (+.f64 2 b) -1)
(pow.f64 (/.f64 1 (+.f64 2 b)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 b)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 2 b) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 b))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 b)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 b))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 b))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 b)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 b))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/48 (pow.f64 b 3)))) 1)
(pow.f64 (*.f64 1/48 (pow.f64 b 3)) 1)
(pow.f64 (*.f64 b (cbrt.f64 1/48)) 3)
(pow.f64 (pow.f64 (*.f64 1/48 (pow.f64 b 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 b 3/2) (sqrt.f64 1/48)) 2)
(sqrt.f64 (*.f64 (pow.f64 b 6) 1/2304))
(log.f64 (pow.f64 (exp.f64 (pow.f64 b 3)) 1/48))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/48 (pow.f64 b 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/48 (pow.f64 b 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/48 (pow.f64 b 3))))
(exp.f64 (log.f64 (*.f64 1/48 (pow.f64 b 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/48 (pow.f64 b 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/48 (pow.f64 b 3))))

Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 a 2)) (.f64 1/4 a)))
(+.f64 1/2 (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a)))
(+.f64 (fma.f64 1/4 a 1/2) (*.f64 1/8 (pow.f64 a 2)))
(fma.f64 1/4 a (fma.f64 1/8 (pow.f64 a 2) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 a 3)) (+.f64 (.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 a 3) (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a))))
(+.f64 (fma.f64 1/48 (pow.f64 a 3) (*.f64 1/8 (pow.f64 a 2))) (fma.f64 1/4 a 1/2))
(fma.f64 1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/8 (pow.f64 a 2) 1/2)))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (/.f64 (exp.f64 a) a))
(*.f64 (+.f64 (/.f64 -2 a) 1) (/.f64 (exp.f64 a) a))
(+.f64 (.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a)))
(fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(+.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 2)) (+.f64 -2 (/.f64 4 a))))
(+.f64 (.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))) (+.f64 (.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a))))
(fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(+.f64 (/.f64 (exp.f64 a) a) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 2)) (+.f64 -2 (/.f64 4 a)))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (/.f64 (exp.f64 a) a))
(*.f64 (+.f64 (/.f64 -2 a) 1) (/.f64 (exp.f64 a) a))
(+.f64 (.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a)))
(fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(+.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 2)) (+.f64 -2 (/.f64 4 a))))
(+.f64 (.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))) (+.f64 (.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a))))
(fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(+.f64 (/.f64 (exp.f64 a) a) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 2)) (+.f64 -2 (/.f64 4 a)))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/4 b) (.f64 1/8 (pow.f64 b 2))))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/8 (pow.f64 b 2))))
(+.f64 1/2 (fma.f64 1/8 (pow.f64 b 2) (*.f64 -1/4 b)))
(fma.f64 1/8 (pow.f64 b 2) (fma.f64 -1/4 b 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/4 b) (+.f64 (.f64 -1/16 (pow.f64 b 3)) (*.f64 1/8 (pow.f64 b 2)))))
(+.f64 1/2 (fma.f64 -1/4 b (fma.f64 -1/16 (pow.f64 b 3) (*.f64 1/8 (pow.f64 b 2)))))
(+.f64 (fma.f64 -1/4 b 1/2) (fma.f64 1/8 (pow.f64 b 2) (*.f64 -1/16 (pow.f64 b 3))))
(+.f64 (fma.f64 -1/4 b 1/2) (.f64 (pow.f64 b 2) (+.f64 1/8 (.f64 b -1/16))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (pow.f64 b 2)))
(+.f64 (/.f64 1 b) (/.f64 -2 (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (/.f64 2 (pow.f64 b 2)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (/.f64 -2 (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (pow.f64 b 2)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (-.f64 (/.f64 -2 (pow.f64 b 2)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 -2 (pow.f64 b 2)) (/.f64 -8 (pow.f64 b 4))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (pow.f64 b 2)))
(+.f64 (/.f64 1 b) (/.f64 -2 (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (/.f64 2 (pow.f64 b 2)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (/.f64 -2 (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (pow.f64 b 2)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (-.f64 (/.f64 -2 (pow.f64 b 2)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 -2 (pow.f64 b 2)) (/.f64 -8 (pow.f64 b 4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))) 1)
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 a 2)))
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 a 2)))
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2))
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(/.f64 (exp.f64 a) (+.f64 a 2))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(/.f64 (exp.f64 a) (+.f64 a 2))
(.f64 (sqrt.f64 (exp.f64 a)) (.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 -2 (neg.f64 a))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (-.f64 -2 a)))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -2 a))
(*.f64 (/.f64 1 (+.f64 a 2)) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a 2))))
(/.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a 2))) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2))
(/.f64 (exp.f64 a) (*.f64 (pow.f64 (cbrt.f64 (+.f64 a 2)) 2) (cbrt.f64 (+.f64 a 2))))
(/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 a 2)) 3))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 2))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a 2))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a 2))) (sqrt.f64 (+.f64 a 2)))
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 a 2)) (sqrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 a 2)))
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 a 2))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 2))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a 2))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a 2))) (sqrt.f64 (+.f64 a 2)))
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 a 2)) (sqrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 a 2)))
(/.f64 (exp.f64 a) (+.f64 a 2))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a 2))))
(/.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a 2))) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2))
(/.f64 (exp.f64 a) (*.f64 (pow.f64 (cbrt.f64 (+.f64 a 2)) 2) (cbrt.f64 (+.f64 a 2))))
(/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 a 2)) 3))
(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 a 3) 8)) (-.f64 (fma.f64 a a 4) (.f64 a 2)))
(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 a 3) 8)) (+.f64 (fma.f64 a a 4) (.f64 a -2)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 a 3) 8)) (fma.f64 a -2 (fma.f64 a a 4)))
(*.f64 (/.f64 (exp.f64 a) (fma.f64 a a -4)) (+.f64 a -2))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)
(/.f64 (exp.f64 a) (+.f64 a 2))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 3)
(/.f64 (exp.f64 a) (+.f64 a 2))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3) 1/3)
(/.f64 (exp.f64 a) (+.f64 a 2))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2)
(/.f64 (exp.f64 a) (+.f64 a 2))
(pow.f64 (/.f64 (+.f64 a 2) (exp.f64 a)) -1)
(/.f64 (exp.f64 a) (+.f64 a 2))
(neg.f64 (/.f64 (exp.f64 a) (+.f64 -2 (neg.f64 a))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (-.f64 -2 a)))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -2 a))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 2))
(/.f64 (exp.f64 a) (+.f64 a 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(/.f64 (exp.f64 a) (+.f64 a 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))))
(/.f64 (exp.f64 a) (+.f64 a 2))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3))
(/.f64 (exp.f64 a) (+.f64 a 2))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 a 2) 3)))
(/.f64 (exp.f64 a) (+.f64 a 2))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(/.f64 (exp.f64 a) (+.f64 a 2))
(exp.f64 (-.f64 a (log.f64 (+.f64 a 2))))
(/.f64 (exp.f64 a) (+.f64 a 2))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 a 2))) 1))
(/.f64 (exp.f64 a) (+.f64 a 2))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(/.f64 (exp.f64 a) (+.f64 a 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 b)))) 1)
(/.f64 1 (+.f64 2 b))
(*.f64 1 (/.f64 1 (+.f64 2 b)))
(/.f64 1 (+.f64 2 b))
(*.f64 (/.f64 1 (+.f64 2 b)) 1)
(/.f64 1 (+.f64 2 b))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))
(/.f64 -1 (-.f64 -2 b))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 b) -2)) (cbrt.f64 (/.f64 1 (+.f64 2 b))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -2)))
(*.f64 (pow.f64 (+.f64 2 b) -1/2) (pow.f64 (+.f64 2 b) -1/2))
(/.f64 1 (+.f64 2 b))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 b)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 b))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (+.f64 2 b)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 b)) -1) (pow.f64 (sqrt.f64 (+.f64 2 b)) -1))
(pow.f64 (sqrt.f64 (+.f64 2 b)) -2)
(.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (-.f64 (fma.f64 b b 4) (.f64 2 b)))
(.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (fma.f64 b b 4) (.f64 -2 b)))
(/.f64 (+.f64 (fma.f64 b b 4) (*.f64 -2 b)) (+.f64 (pow.f64 b 3) 8))
(/.f64 (fma.f64 -2 b (fma.f64 b b 4)) (+.f64 (pow.f64 b 3) 8))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 -2 b))
(/.f64 (+.f64 -2 b) (fma.f64 b b -4))
(pow.f64 (+.f64 2 b) -1)
(/.f64 1 (+.f64 2 b))
(pow.f64 (/.f64 1 (+.f64 2 b)) 1)
(/.f64 1 (+.f64 2 b))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) 3)
(/.f64 1 (+.f64 2 b))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 b)) 3) 1/3)
(/.f64 1 (+.f64 2 b))
(pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)
(/.f64 1 (+.f64 2 b))
(sqrt.f64 (pow.f64 (+.f64 2 b) -2))
(/.f64 1 (+.f64 2 b))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 b))))
(/.f64 1 (+.f64 2 b))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 b)))))
(/.f64 1 (+.f64 2 b))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 b)) 3))
(/.f64 1 (+.f64 2 b))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 b))))
(/.f64 1 (+.f64 2 b))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 b))))
(/.f64 1 (+.f64 2 b))
(exp.f64 (*.f64 (log.f64 (+.f64 2 b)) -1))
(/.f64 1 (+.f64 2 b))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 b))) 1))
(/.f64 1 (+.f64 2 b))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 b))))
(/.f64 1 (+.f64 2 b))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/48 (pow.f64 b 3)))) 1)
(*.f64 1/48 (pow.f64 b 3))
(pow.f64 (*.f64 1/48 (pow.f64 b 3)) 1)
(*.f64 1/48 (pow.f64 b 3))
(pow.f64 (*.f64 b (cbrt.f64 1/48)) 3)
(*.f64 1/48 (pow.f64 b 3))
(pow.f64 (pow.f64 (*.f64 1/48 (pow.f64 b 3)) 3) 1/3)
(*.f64 1/48 (pow.f64 b 3))
(pow.f64 (*.f64 (pow.f64 b 3/2) (sqrt.f64 1/48)) 2)
(*.f64 1/48 (pow.f64 b 3))
(sqrt.f64 (*.f64 (pow.f64 b 6) 1/2304))
(log.f64 (pow.f64 (exp.f64 (pow.f64 b 3)) 1/48))
(*.f64 1/48 (pow.f64 b 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/48 (pow.f64 b 3)))))
(*.f64 1/48 (pow.f64 b 3))
(cbrt.f64 (pow.f64 (*.f64 1/48 (pow.f64 b 3)) 3))
(*.f64 1/48 (pow.f64 b 3))
(expm1.f64 (log1p.f64 (*.f64 1/48 (pow.f64 b 3))))
(*.f64 1/48 (pow.f64 b 3))
(exp.f64 (log.f64 (*.f64 1/48 (pow.f64 b 3))))
(*.f64 1/48 (pow.f64 b 3))
(exp.f64 (.f64 (log.f64 (.f64 1/48 (pow.f64 b 3))) 1))
(*.f64 1/48 (pow.f64 b 3))
(log1p.f64 (expm1.f64 (*.f64 1/48 (pow.f64 b 3))))
(*.f64 1/48 (pow.f64 b 3))

eval43.0ms (1.1%)

Compiler: Compiled 1647 to 1197 computations (27.3% saved)

prune24.0ms (0.6%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	1	1
Picked	1	4	5
Done	0	2	2
Total	137	9	146

Accuracy

100.0%

Counts

146 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.2%	(/.f64 (exp.f64 a) a)
✓	38.5%	(/.f64 1 (+.f64 b 2))
✓	70.0%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	79.6%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	3.7%	(/.f64 1 b)
✓	37.8%	(+.f64 1/2 (+.f64 (.f64 -1/4 b) (.f64 1/48 (pow.f64 b 3))))
✓	38.3%	(+.f64 1/2 (*.f64 b -1/4))
✓	39.3%	(+.f64 1/2 (*.f64 a 1/4))
	39.0%	1/2
▶	32.2%	(/.f64 (exp.f64 a) a)
✓	38.5%	(/.f64 1 (+.f64 b 2))
✓	70.0%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	79.6%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	3.7%	(/.f64 1 b)
✓	37.8%	(+.f64 1/2 (+.f64 (.f64 -1/4 b) (.f64 1/48 (pow.f64 b 3))))
✓	38.3%	(+.f64 1/2 (*.f64 b -1/4))
✓	39.3%	(+.f64 1/2 (*.f64 a 1/4))
	39.0%	1/2

Compiler

Compiled 130 to 110 computations (15.4% saved)

localize33.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`unpow-prod-down`
352×	`log-prod`
348×	`cbrt-prod`
323×	`log1p-expm1-u`
323×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	68	17
2	870	17

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

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

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def`
774×	`unswap-sqr`
590×	`associate-*r/`
568×	`times-frac`
542×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	1903
1	494	1816
2	1451	1774
3	6210	1774

Stop Event

1×	node limit

Counts

67 → 97

Calls

Call 1

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

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

eval27.0ms (0.7%)

Compiler: Compiled 1093 to 488 computations (55.4% saved)

prune21.0ms (0.5%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	1	1
Picked	0	2	2
Done	0	6	6
Total	95	11	106

Accuracy

100.0%

Counts

106 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.2%	(/.f64 (exp.f64 a) a)
✓	38.5%	(/.f64 1 (+.f64 b 2))
✓	70.0%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	79.6%	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	3.7%	(/.f64 1 b)
	3.8%	(/.f64 1 a)
	3.5%	(+.f64 1 (/.f64 1 a))
✓	37.8%	(+.f64 1/2 (+.f64 (.f64 -1/4 b) (.f64 1/48 (pow.f64 b 3))))
✓	38.3%	(+.f64 1/2 (*.f64 b -1/4))
✓	39.3%	(+.f64 1/2 (*.f64 a 1/4))
	39.0%	1/2

Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes31.0ms (0.8%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	b
8.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
100.0%	1	`(exp.f64 a)`
100.0%	1	`(exp.f64 b)`

Compiler

Compiled 117 to 78 computations (33.3% saved)

regimes44.0ms (1.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	b
14.0ms	a
6.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
98.5%	2	`a`
99.5%	3	`b`
99.5%	3	`(exp.f64 b)`

Compiler

Compiled 62 to 46 computations (25.8% saved)

regimes15.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.1%	2	`a`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes14.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.1%	2	`a`

Compiler

Compiled 42 to 32 computations (23.8% saved)

regimes46.0ms (1.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	b
13.0ms	a

Results

Accuracy	Segments	Branch
54.1%	6	`b`
68.7%	2	`a`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes13.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
39.3%	1	`b`
39.3%	1	`a`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes9.0ms (0.3%)

Accuracy

Total -23.6b remaining (-60.5%)

Threshold costs -23.6b (-60.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1/2

Calls

2 calls:

5.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
39.0%	1	`a`
39.0%	1	`b`

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch19.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-1.8188314079247293e-7	-1.4211814009558062e-20

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 205 to 180 computations (12.2% saved)

bsearch12.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.5207293859188128	-0.10812818762571164

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 123 to 100 computations (18.7% saved)

bsearch17.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-11490750.605465868	-0.5207293859188128

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 159 to 127 computations (20.1% saved)

bsearch20.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-11490750.605465868	-0.5207293859188128

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 150 to 118 computations (21.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	251
1	56	251
2	59	251
3	60	251

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(if (<=.f64 a -4533471823554859/75557863725914323419136) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -1170935903116329/2251799813685248) (/.f64 (exp.f64 a) (+.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -720) (/.f64 (exp.f64 a) a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -2476979795053773/1125899906842624) (/.f64 (exp.f64 a) a) (+.f64 1/2 (*.f64 a 1/4)))
(+.f64 1/2 (*.f64 a 1/4))
1/2

Outputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(if (<=.f64 a -4533471823554859/75557863725914323419136) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -1170935903116329/2251799813685248) (/.f64 (exp.f64 a) (+.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -720) (/.f64 (exp.f64 a) a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -2476979795053773/1125899906842624) (/.f64 (exp.f64 a) a) (+.f64 1/2 (*.f64 a 1/4)))
(+.f64 1/2 (*.f64 a 1/4))
1/2

Compiler

Compiled 88 to 70 computations (20.5% saved)

soundness392.0ms (10.4%)

Rules

1088×	`unswap-sqr`
792×	`fma-def`
678×	`*-commutative`
588×	`associate-r`
588×	`associate-r`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	22	182
1	34	182
2	46	182
3	63	182
4	111	169
5	236	169
6	513	169
7	1372	169
8	3145	164
9	4781	162
10	6738	154
0	611	10547
1	1540	10190
2	6172	10090
0	611	10547
1	1540	10190
2	6172	10090

Stop Event

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

Compiler

Compiled 176 to 83 computations (52.8% saved)

end0.0ms (0%)

preprocess70.0ms (1.8%)

Compiler: Compiled 192 to 134 computations (30.2% saved)

analyze14.0ms (0.4%)

sample1.0s (26.6%)

preprocess113.0ms (3%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize46.0ms (1.2%)

series11.0ms (0.3%)

rewrite136.0ms (3.6%)

simplify122.0ms (3.2%)

eval92.0ms (2.4%)

prune40.0ms (1.1%)

localize357.0ms (9.5%)

series105.0ms (2.8%)

rewrite112.0ms (3%)

simplify159.0ms (4.2%)

eval141.0ms (3.7%)

prune67.0ms (1.8%)

localize118.0ms (3.1%)

series4.0ms (0.1%)

rewrite80.0ms (2.1%)

simplify81.0ms (2.2%)

eval43.0ms (1.1%)

prune24.0ms (0.6%)

localize33.0ms (0.9%)

series1.0ms (0%)

rewrite51.0ms (1.4%)

simplify61.0ms (1.6%)

eval27.0ms (0.7%)

prune21.0ms (0.5%)

regimes31.0ms (0.8%)

regimes44.0ms (1.2%)

regimes15.0ms (0.4%)

regimes14.0ms (0.4%)

regimes46.0ms (1.2%)

regimes13.0ms (0.3%)

regimes9.0ms (0.3%)

bsearch19.0ms (0.5%)

bsearch12.0ms (0.3%)

bsearch17.0ms (0.5%)

bsearch20.0ms (0.5%)

simplify8.0ms (0.2%)

soundness392.0ms (10.4%)

end0.0ms (0%)

preprocess70.0ms (1.8%)

Profiling