Metrics for Quotient of sum of exps

analyze82.0ms (2%)

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)

sample985.0ms (23.8%)

Results

778.0ms	8256×	body	256	valid
188.0ms	2875×	body	256	unsamplable

Bogosity

preprocess116.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Problems

254×	No Errors
2×	`(/.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)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 20 to 16 computations (20% saved)

localize30.0ms (0.7%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 12 computations (55.6% saved)

series5.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite112.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`prod-diff`
760×	`log1p-expm1-u`
760×	`expm1-log1p-u`
674×	`log-prod`
626×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	154	52
2	2058	52

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

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

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-*r/`
944×	`unswap-sqr`
782×	`distribute-lft-in`
780×	`distribute-rgt-in`
630×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	5931
1	740	5236
2	2624	5055

Stop Event

1×	node limit

Counts

114 → 149

Calls

Call 1

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

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

eval63.0ms (1.5%)

Compiler: Compiled 3312 to 1947 computations (41.2% saved)

prune20.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	3	150

Accuracy

100.0%

Counts

150 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.4%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
▶	81.9%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	100.0%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
▶	63.4%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
▶	81.9%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	100.0%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))

Compiler

Compiled 52 to 44 computations (15.4% saved)

localize316.0ms (7.6%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 (neg.f64 a)))
✓	100.0%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	100.0%	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	100.0%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
✓	99.6%	(log1p.f64 (exp.f64 (-.f64 b a)))

Compiler

Compiled 63 to 25 computations (60.3% saved)

series101.0ms (2.5%)

Counts

5 → 68

Calls

21 calls:

Time	Variable		Point	Expression
32.0ms	a	@	-inf	(log1p.f64 (exp.f64 (-.f64 b a)))
27.0ms	b	@	inf	(log1p.f64 (exp.f64 (-.f64 b a)))
21.0ms	b	@	-inf	(log1p.f64 (exp.f64 (-.f64 b a)))
14.0ms	a	@	inf	(log1p.f64 (exp.f64 (-.f64 b a)))
1.0ms	b	@	0	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))

rewrite100.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`prod-diff`
876×	`log1p-expm1-u`
458×	`expm1-udef`
458×	`log1p-udef`
386×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	112
1	320	98
2	4229	98

Stop Event

1×	node limit

Counts

5 → 146

Calls

Call 1

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

simplify118.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-+r+`
520×	`sqr-pow`
464×	`associate-r`
430×	`fma-def`
416×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	8166
1	1258	7968
2	4668	7444

Stop Event

1×	node limit

Counts

214 → 276

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

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

eval94.0ms (2.3%)

Compiler: Compiled 5684 to 3278 computations (42.3% saved)

prune40.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	271	5	276
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	272	7	279

Accuracy

100.0%

Counts

279 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.1%	(/.f64 1 (-.f64 2 a))
✓	63.4%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	81.9%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	35.7%	(+.f64 1/2 (*.f64 b -1/4))
▶	38.5%	(+.f64 1/2 (*.f64 a 1/4))
▶	81.9%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
	38.2%	1/2
▶	39.1%	(/.f64 1 (-.f64 2 a))
✓	63.4%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	81.9%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	35.7%	(+.f64 1/2 (*.f64 b -1/4))
▶	38.5%	(+.f64 1/2 (*.f64 a 1/4))
▶	81.9%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
	38.2%	1/2

Compiler

Compiled 96 to 84 computations (12.5% saved)

localize182.0ms (4.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (-.f64 2 a))
✓	100.0%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	98.9%	(log1p.f64 (exp.f64 b))

Compiler

Compiled 51 to 31 computations (39.2% saved)

series29.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
12.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))
0.0ms	a	@	inf	(/.f64 1 (-.f64 2 a))

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`unpow-prod-down`
712×	`log-prod`
704×	`log1p-expm1-u`
704×	`expm1-log1p-u`
384×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	184	42
2	2190	18

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 b))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (-.f64 2 a))

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

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

950×	`times-frac`
910×	`fma-def`
546×	`sqr-pow`
540×	`exp-prod`
454×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	224	2408
1	571	2161
2	1656	2092
3	5975	2043

Stop Event

1×	node limit

Counts

92 → 121

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 1/2 b)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 b 4)) (+.f64 (.f64 1/8 (pow.f64 b 2)) (*.f64 1/2 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 2)))
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (.f64 -1/2 (.f64 b (exp.f64 (neg.f64 (log.f64 2))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (+.f64 (.f64 -1/2 (.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (.f64 1/24 (.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2)))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (+.f64 (.f64 -1/2 (.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (.f64 -1/240 (.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (.f64 1/24 (.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
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 1/16 (pow.f64 a 3)) (+.f64 (.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
0
1
(+.f64 0 (/.f64 1 (-.f64 2 a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 a)))) 1)
(*.f64 1 (/.f64 1 (-.f64 2 a)))
(*.f64 (/.f64 1 (-.f64 2 a)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (-.f64 2 a))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 2))
(*.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (pow.f64 (/.f64 1 (fma.f64 a (+.f64 2 a) 4)) -1))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (pow.f64 (/.f64 1 (+.f64 2 a)) -1))
(*.f64 (pow.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) 1) (fma.f64 a (+.f64 2 a) 4))
(*.f64 (pow.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) 1) (+.f64 2 a))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2)) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))))) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 2 a) -3/2) 1/3) (pow.f64 (pow.f64 (-.f64 2 a) -3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 2 a) -2) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2)) 1/3) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 2 a) -5/2) 1/3) (pow.f64 (pow.f64 (-.f64 2 a) -1/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2)) 2) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 2) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 2))
(pow.f64 (-.f64 2 a) -1)
(pow.f64 (/.f64 1 (-.f64 2 a)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 a)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 3)
(pow.f64 (pow.f64 (-.f64 2 a) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 2 a) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 2 a) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 2 a) -3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 a)) -2)
(pow.f64 (pow.f64 (-.f64 2 a) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (-.f64 2 a))) -1)
(sqrt.f64 (pow.f64 (-.f64 2 a) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 2 a)))))
(cbrt.f64 (pow.f64 (-.f64 2 a) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(exp.f64 (neg.f64 (log.f64 (-.f64 2 a))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 a)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 2 a))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 2 a)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 2 a)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (-.f64 2 a))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 2 a)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (-.f64 2 a))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 a))))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 1/2 b)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 b 2) (*.f64 1/2 b)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 b 2) (*.f64 b 1/2)))
(fma.f64 b 1/2 (fma.f64 1/8 (pow.f64 b 2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 b 4)) (+.f64 (.f64 1/8 (pow.f64 b 2)) (*.f64 1/2 b))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 b 4) (fma.f64 1/8 (pow.f64 b 2) (*.f64 1/2 b))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 b 4) (fma.f64 1/8 (pow.f64 b 2) (*.f64 b 1/2))))
(fma.f64 -1/192 (pow.f64 b 4) (fma.f64 b 1/2 (fma.f64 1/8 (pow.f64 b 2) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 (neg.f64 (log.f64 2)))
1/2
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (.f64 -1/2 (.f64 b (exp.f64 (neg.f64 (log.f64 2))))))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (+.f64 (.f64 -1/2 (.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (.f64 1/24 (.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2)))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (fma.f64 -1/2 (.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)))))
(+.f64 (.f64 b -1/4) (+.f64 (.f64 (pow.f64 b 3) 1/48) 1/2))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 1/2))
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (+.f64 (.f64 -1/2 (.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (.f64 -1/240 (.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (.f64 1/24 (.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (fma.f64 -1/2 (.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (fma.f64 -1/240 (.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 5)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3))))))
(+.f64 (.f64 b -1/4) (+.f64 1/2 (+.f64 (.f64 (pow.f64 b 3) 1/48) (*.f64 (pow.f64 b 5) -1/480))))
(+.f64 (fma.f64 (pow.f64 b 5) -1/480 (*.f64 b -1/4)) (fma.f64 (pow.f64 b 3) 1/48 1/2))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
1/2
(exp.f64 (neg.f64 (log.f64 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)))
(fma.f64 1/8 (pow.f64 a 2) (fma.f64 1/4 a 1/2))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 a 3)) (+.f64 (.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 a 3) (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a))))
(fma.f64 1/16 (pow.f64 a 3) (fma.f64 1/8 (pow.f64 a 2) (fma.f64 1/4 a 1/2)))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (/.f64 1 a) (/.f64 2 (pow.f64 a 2))))
(+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a)) (/.f64 -4 (pow.f64 a 3)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4))))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 8 (pow.f64 a 4)))))
(+.f64 (/.f64 -2 (pow.f64 a 2)) (-.f64 (+.f64 (/.f64 -1 a) (/.f64 -4 (pow.f64 a 3))) (/.f64 8 (pow.f64 a 4))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a)) (-.f64 (/.f64 -4 (pow.f64 a 3)) (/.f64 8 (pow.f64 a 4))))
(/.f64 -1 a)
(neg.f64 (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 1 (pow.f64 a 2)))))
(neg.f64 (+.f64 (/.f64 1 a) (/.f64 2 (pow.f64 a 2))))
(+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 a 3))) (/.f64 1 a))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3)))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (/.f64 4 (pow.f64 a 3))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a)) (/.f64 -4 (pow.f64 a 3)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 a 4))) (/.f64 1 a)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 a 2)) (+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 8 (pow.f64 a 4))))))
(-.f64 (/.f64 -2 (pow.f64 a 2)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 8 (pow.f64 a 4)))))
(+.f64 (/.f64 -2 (pow.f64 a 2)) (-.f64 (+.f64 (/.f64 -1 a) (/.f64 -4 (pow.f64 a 3))) (/.f64 8 (pow.f64 a 4))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 a 2)) (/.f64 -1 a)) (-.f64 (/.f64 -4 (pow.f64 a 3)) (/.f64 8 (pow.f64 a 4))))
0
1
(+.f64 0 (/.f64 1 (-.f64 2 a)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 a -2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 a -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 a)))) 1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 1 (/.f64 1 (-.f64 2 a)))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 (/.f64 1 (-.f64 2 a)) 1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (-.f64 2 a))) 1))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 2))
(*.f64 (pow.f64 (-.f64 2 a) -1/2) (pow.f64 (-.f64 2 a) -1/2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(/.f64 (fma.f64 a (+.f64 2 a) 4) (-.f64 8 (pow.f64 a 3)))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (pow.f64 (/.f64 1 (fma.f64 a (+.f64 2 a) 4)) -1))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(/.f64 (fma.f64 a (+.f64 2 a) 4) (-.f64 8 (pow.f64 a 3)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (+.f64 2 a))
(*.f64 (+.f64 2 a) (/.f64 1 (-.f64 4 (pow.f64 a 2))))
(/.f64 (+.f64 2 a) (-.f64 4 (pow.f64 a 2)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) (pow.f64 (/.f64 1 (+.f64 2 a)) -1))
(*.f64 (+.f64 2 a) (/.f64 1 (-.f64 4 (pow.f64 a 2))))
(/.f64 (+.f64 2 a) (-.f64 4 (pow.f64 a 2)))
(*.f64 (pow.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) 1) (fma.f64 a (+.f64 2 a) 4))
(*.f64 (/.f64 1 (-.f64 8 (pow.f64 a 3))) (fma.f64 a (+.f64 2 a) 4))
(/.f64 (fma.f64 a (+.f64 2 a) 4) (-.f64 8 (pow.f64 a 3)))
(*.f64 (pow.f64 (/.f64 1 (-.f64 4 (pow.f64 a 2))) 1) (+.f64 2 a))
(*.f64 (+.f64 2 a) (/.f64 1 (-.f64 4 (pow.f64 a 2))))
(/.f64 (+.f64 2 a) (-.f64 4 (pow.f64 a 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2)) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))))) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 (pow.f64 (pow.f64 (-.f64 2 a) -3/2) 1/3) (pow.f64 (pow.f64 (-.f64 2 a) -3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -3/2)) (cbrt.f64 (pow.f64 (-.f64 2 a) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 2 a) -3/2) 1/6) 4)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -3/2)) (cbrt.f64 (pow.f64 (-.f64 2 a) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 2 a) -3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 2 a) -2) (pow.f64 (cbrt.f64 (-.f64 2 a)) -2)) 1/3) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 1/3))
(.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2) (pow.f64 (-.f64 2 a) -2))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 8)))
(*.f64 (pow.f64 (pow.f64 (-.f64 2 a) -5/2) 1/3) (pow.f64 (pow.f64 (-.f64 2 a) -1/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 a) -1/2)) (cbrt.f64 (pow.f64 (-.f64 2 a) -5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 2 a)) -2)) 2) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a)))) 2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 2) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 a) -1/2)) 2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (-.f64 2 a) -1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (/.f64 1 (-.f64 2 a)) 1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (cbrt.f64 (-.f64 2 a)) -3)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 a))) 3)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (pow.f64 (-.f64 2 a) 2) -1/2)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (pow.f64 (-.f64 2 a) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (-.f64 2 a) 3) -1/6) (pow.f64 (pow.f64 (-.f64 2 a) 3) -1/6))
(pow.f64 (pow.f64 (-.f64 2 a) -2) 1/2)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (pow.f64 (-.f64 2 a) -3) 1/3)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (sqrt.f64 (-.f64 2 a)) -2)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (pow.f64 (-.f64 2 a) -1/2) 2)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(pow.f64 (neg.f64 (neg.f64 (-.f64 2 a))) -1)
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(sqrt.f64 (pow.f64 (-.f64 2 a) -2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 2 a)))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(cbrt.f64 (pow.f64 (-.f64 2 a) -3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(exp.f64 (neg.f64 (log.f64 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(exp.f64 (*.f64 (log.f64 (-.f64 2 a)) -1))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 2 a))) 1))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 2 a)) 1) -1))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 2 a)) -1) 1))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (-.f64 2 a))) 1) 1))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 2 a)))) 3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 2 a) -3)) 1/3))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (-.f64 2 a))) 2))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 a))))
(/.f64 1 (-.f64 2 a))
(/.f64 -1 (+.f64 a -2))
(/.f64 1 (+.f64 a -2))

eval44.0ms (1.1%)

Compiler: Compiled 1455 to 1234 computations (15.2% saved)

prune21.0ms (0.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	1	1
Picked	0	4	4
Done	0	2	2
Total	119	9	128

Accuracy

100.0%

Counts

128 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.1%	(/.f64 1 (-.f64 2 a))
✓	63.4%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	81.9%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	3.6%	(/.f64 -1 a)
✓	35.7%	(+.f64 1/2 (*.f64 b -1/4))
✓	38.5%	(+.f64 1/2 (*.f64 a 1/4))
✓	81.9%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
	25.0%	1
	38.2%	1/2
✓	39.1%	(/.f64 1 (-.f64 2 a))
✓	63.4%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	81.9%	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	3.6%	(/.f64 -1 a)
✓	35.7%	(+.f64 1/2 (*.f64 b -1/4))
✓	38.5%	(+.f64 1/2 (*.f64 a 1/4))
✓	81.9%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
	25.0%	1
	38.2%	1/2

Compiler

Compiled 112 to 98 computations (12.5% saved)

localize17.0ms (0.4%)

Compiler: Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	6	6
Total	9	9

Accuracy

100.0%

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.1%	(/.f64 1 (-.f64 2 a))
✓	63.4%	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓	81.9%	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	3.6%	(/.f64 -1 a)
✓	35.7%	(+.f64 1/2 (*.f64 b -1/4))
✓	38.5%	(+.f64 1/2 (*.f64 a 1/4))
✓	81.9%	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
	25.0%	1
	38.2%	1/2

Compiler

Compiled 119 to 93 computations (21.8% saved)

regimes30.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

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

9.0ms	a
7.0ms	b
6.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 b)
2.0ms	(exp.f64 a)

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 87 to 60 computations (31% saved)

regimes41.0ms (1%)

Counts

8 → 2

Calls

Call 1

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

19.0ms	b
15.0ms	a
5.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
98.9%	2	`a`
99.6%	3	`b`
99.6%	3	`(exp.f64 b)`

Compiler

Compiled 45 to 36 computations (20% saved)

regimes16.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	b
6.0ms	a
2.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
81.9%	1	`b`
81.9%	1	`(exp.f64 b)`
81.9%	1	`a`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes27.0ms (0.7%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	a
11.0ms	b

Results

Accuracy	Segments	Branch
40.8%	3	`a`
52.8%	2	`b`

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes14.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
52.3%	2	`b`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

Outputs
1
1/2

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
51.9%	2	`b`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1/2

Outputs
1/2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
38.2%	1	`b`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch85.0ms (2.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
85.0ms	-79856856334.21446	-534.3516671634418

Results

83.0ms

144×

body

256

valid

Compiler

Compiled 186 to 163 computations (12.4% saved)

bsearch15.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-2.02288310776707	-0.006601598341572715

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 111 to 98 computations (11.7% saved)

bsearch21.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-2.685364177141779e-10	-7.232687333986535e-26

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 135 to 120 computations (11.1% saved)

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-2.02288310776707	-0.006601598341572715

Results

12.0ms

128×

body

256

valid

Compiler

Compiled 79 to 74 computations (6.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	178
1	54	178
2	58	178
3	59	178

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(if (<=.f64 a -650) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(if (<=.f64 b -5/4) 1 (/.f64 1 (-.f64 2 a)))
(if (<=.f64 b -5029131409596857/19342813113834066795298816) 1 (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 b -4728779608739021/4503599627370496) 1 1/2)
1/2

Outputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(if (<=.f64 a -650) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(if (<=.f64 b -5/4) 1 (/.f64 1 (-.f64 2 a)))
(if (<=.f64 b -5029131409596857/19342813113834066795298816) 1 (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 b -4728779608739021/4503599627370496) 1 1/2)
1/2

Compiler

Compiled 72 to 61 computations (15.3% saved)

soundness1.1s (26.3%)

Rules

1270×	`associate-+r+`
1270×	`associate-+r+`
1270×	`associate-+r+`
1088×	`unswap-sqr`
1004×	`unpow-prod-down`

Iterations

Useful iterations: 2 (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	13	52
1	154	52
2	2058	52
0	477	8166
1	1258	7968
2	4668	7444
0	16	48
1	184	42
2	2190	18
0	477	8166
1	1258	7968
2	4668	7444
0	477	8166
1	1258	7968
2	4668	7444

Stop Event

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

Compiler

Compiled 500 to 216 computations (56.8% saved)

end0.0ms (0%)

preprocess71.0ms (1.7%)

Compiler: Compiled 160 to 124 computations (22.5% saved)

analyze82.0ms (2%)

sample985.0ms (23.8%)

preprocess116.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize30.0ms (0.7%)

series5.0ms (0.1%)

rewrite112.0ms (2.7%)

simplify77.0ms (1.9%)

eval63.0ms (1.5%)

prune20.0ms (0.5%)

localize316.0ms (7.6%)

series101.0ms (2.5%)

rewrite100.0ms (2.4%)

simplify118.0ms (2.9%)

eval94.0ms (2.3%)

prune40.0ms (1%)

localize182.0ms (4.4%)

series29.0ms (0.7%)

rewrite67.0ms (1.6%)

simplify65.0ms (1.6%)

eval44.0ms (1.1%)

prune21.0ms (0.5%)

localize17.0ms (0.4%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes30.0ms (0.7%)

regimes41.0ms (1%)

regimes16.0ms (0.4%)

regimes27.0ms (0.7%)

regimes14.0ms (0.3%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch85.0ms (2.1%)

bsearch15.0ms (0.4%)

bsearch21.0ms (0.5%)

bsearch14.0ms (0.3%)

simplify7.0ms (0.2%)

soundness1.1s (26.3%)

end0.0ms (0%)

preprocess71.0ms (1.7%)

Profiling