Metrics for expq2 (section 3.11)

analyze856.0ms (5.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	199.9%	-99.9%	0%	0%	0%	1
0%	0%	399.8%	-299.8%	0%	0%	0%	2
0%	0%	799.6%	-699.6%	0%	0%	0%	3
0%	0%	1599.2%	-1499.2%	0%	0%	0%	4
0%	0%	3198.4%	-3098.4%	0%	0%	0%	5
0%	0%	6396.9%	-6296.9%	0%	0%	0%	6
0%	0%	12793.8%	-12693.8%	0%	0%	0%	7
0%	0%	25587.5%	-25487.5%	0%	0%	0%	8
0%	0%	51175%	-51075%	0%	0%	0%	9
0%	0%	102350%	-102250%	0%	0%	0%	10
0%	0%	204700%	-204600%	0%	0%	0%	11
0%	0%	409400%	-409300%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample11.1s (72.5%)

Results

8.2s	8104×	body	8192	exit
1.6s	4177×	body	1024	valid
559.0ms	2026×	body	512	valid
465.0ms	1648×	body	256	valid
186.0ms	392×	body	2048	valid
7.0ms	9×	body	8192	valid
2.0ms	4×	body	4096	valid

Bogosity

preprocess50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-/r*`
1108×	`distribute-lft-in`
1078×	`fma-def`
1074×	`associate-/l*`
1036×	`distribute-rgt-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	23	38
2	31	38
3	42	38
4	77	34
5	221	32
6	1173	32
7	4992	30

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 1 (fma.f64 (exp.f64 x) -1 1))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 1 (neg.f64 (expm1.f64 x)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`expm1-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	14	15
2	15	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))

eval0.0ms (0%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Accurracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	6.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize146.0ms (1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	9.2%	(-.f64 (exp.f64 x) 1)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series2.0ms (0%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (exp.f64 x) (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 (exp.f64 x) (expm1.f64 x))
0.0ms	x	@	0	(/.f64 (exp.f64 x) (expm1.f64 x))
0.0ms	x	@	inf	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
0.0ms	x	@	-inf	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`pow1`
1554×	`add-exp-log`
1552×	`log1p-expm1-u`
1550×	`expm1-log1p-u`
1524×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	205	35
2	2160	35

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(-.f64 (exp.f64 x) 1)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-/r*`
1000×	`fma-def`
890×	`unswap-sqr`
888×	`associate-/l*`
826×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2157
1	397	2097
2	1391	2069

Stop Event

1×	node limit

Counts

117 → 101

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (+.f64 (exp.f64 x) 1))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 (exp.f64 x) (exp.f64 x) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (+.f64 (exp.f64 x) 1))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x 1/2) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/6 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/24 (pow.f64 x 4) x)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 3) -1))
(*.f64 (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (+.f64 (exp.f64 x) 1))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (fma.f64 (exp.f64 x) (exp.f64 x) -1))
(/.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)) (+.f64 -1 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (+.f64 1 (exp.f64 x)) 1))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (+.f64 1 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 (exp.f64 x) (exp.f64 x) -1)))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (+.f64 1 (exp.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (+.f64 1 (exp.f64 x)) 1))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 (exp.f64 x) 1))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (-.f64 (exp.f64 x) -1))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (+.f64 1 (exp.f64 x)) 1))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 3) -1))
(*.f64 (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (+.f64 (exp.f64 x) 1))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (fma.f64 (exp.f64 x) (exp.f64 x) -1))
(/.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)) (+.f64 -1 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))

eval38.0ms (0.2%)

Compiler: Compiled 1202 to 590 computations (50.9% saved)

prune31.0ms (0.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	94	9	103

Accurracy

100.0%

Counts

103 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	97.4%	(/.f64 (exp.f64 x) x)
▶	97.1%	(/.f64 1 x)
▶	98.0%	(+.f64 (/.f64 1 x) 1/2)
▶	98.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	98.6%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
	41.3%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
✓	6.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	97.4%	(/.f64 (exp.f64 x) x)
▶	97.1%	(/.f64 1 x)
▶	98.0%	(+.f64 (/.f64 1 x) 1/2)
▶	98.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	98.6%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
	41.3%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 252 to 190 computations (24.6% saved)

localize395.0ms (2.6%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) x)
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.5%	(*.f64 1/12 x)
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
✓	100.0%	(/.f64 1 (expm1.f64 x))

Compiler

Compiled 68 to 41 computations (39.7% saved)

series7.0ms (0%)

Counts

5 → 37

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 1 (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 1 (expm1.f64 x))
1.0ms	x	@	-inf	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
0.0ms	x	@	-inf	(/.f64 (exp.f64 x) x)
0.0ms	x	@	0	(/.f64 1 (expm1.f64 x))

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`prod-diff`
1392×	`log-prod`
600×	`fma-def`
508×	`expm1-udef`
506×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	293	59
2	3827	59

Stop Event

1×	node limit

Counts

5 → 163

Calls

Call 1

Inputs
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 1/12 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(/.f64 (exp.f64 x) x)

Outputs
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1) (pow.f64 (sqrt.f64 (expm1.f64 x)) -1))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (*.f64 (exp.f64 x) -1) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 0 (*.f64 x 1/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/144) (-.f64 (.f64 x 1/12) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (.f64 x 1/12) (/.f64 1 x))))
(*.f64 1 (fma.f64 x 1/12 (/.f64 1 x)))
(*.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 x 1/12) (/.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 x x) 1/144 (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x 1/12) (/.f64 1 x)) (-.f64 (.f64 (*.f64 x x) 1/144) (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (.f64 x x) 1/144 (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (.f64 x x) 1/144) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) 1/144 (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 x 1/12) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 x 1/12)))
(pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 x 1/12)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) 1/12)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 x 1/12)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 1 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 (*.f64 x 1/12) 1 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (*.f64 x x) 1/144)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/144)) (cbrt.f64 (*.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x x)) -1) (pow.f64 (cbrt.f64 x) -1) (.f64 x 1/12))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 x 1/12))
(fma.f64 (.f64 1/12 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(+.f64 0 (/.f64 (exp.f64 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) x))) 1)
(*.f64 1 (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (exp.f64 x) x) 1)
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2)) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) (sqrt.f64 (/.f64 (exp.f64 x) x)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (exp.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) 1) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 x)))
(.f64 (.f64 (exp.f64 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (.f64 (exp.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (exp.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) 2)
(pow.f64 (/.f64 x (exp.f64 x)) -1)
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(exp.f64 (-.f64 x (log.f64 x)))
(exp.f64 (*.f64 (-.f64 x (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) x)))

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1460×	`times-frac`
962×	`distribute-lft-in`
920×	`distribute-rgt-in`
448×	`associate-+r+`
350×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	3982
1	869	3802
2	2777	3604

Stop Event

1×	node limit

Counts

200 → 229

Calls

Call 1

Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 1 x)
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (/.f64 1 x))))
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1) (pow.f64 (sqrt.f64 (expm1.f64 x)) -1))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (*.f64 (exp.f64 x) -1) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 0 (*.f64 x 1/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/144) (-.f64 (.f64 x 1/12) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (.f64 x 1/12) (/.f64 1 x))))
(*.f64 1 (fma.f64 x 1/12 (/.f64 1 x)))
(*.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 x 1/12) (/.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 x x) 1/144 (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x 1/12) (/.f64 1 x)) (-.f64 (.f64 (*.f64 x x) 1/144) (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (.f64 x x) 1/144 (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (.f64 x x) 1/144) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) 1/144 (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 x 1/12) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 x 1/12)))
(pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 x 1/12)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) 1/12)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 x 1/12)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 1 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 (*.f64 x 1/12) 1 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (*.f64 x x) 1/144)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/144)) (cbrt.f64 (*.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x x)) -1) (pow.f64 (cbrt.f64 x) -1) (.f64 x 1/12))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 x 1/12))
(fma.f64 (.f64 1/12 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(+.f64 0 (/.f64 (exp.f64 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) x))) 1)
(*.f64 1 (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (exp.f64 x) x) 1)
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2)) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) (sqrt.f64 (/.f64 (exp.f64 x) x)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (exp.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) 1) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 x)))
(.f64 (.f64 (exp.f64 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (.f64 (exp.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (exp.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) 2)
(pow.f64 (/.f64 x (exp.f64 x)) -1)
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(exp.f64 (-.f64 x (log.f64 x)))
(exp.f64 (*.f64 (-.f64 x (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) x)))

Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)
(+.f64 -1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) -1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) -1/2))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(+.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(+.f64 1 (fma.f64 x 1/2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (/.f64 1 x))))
(+.f64 1 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/2 x (/.f64 1 x))))
(+.f64 1 (fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 x)))) 1)
(/.f64 1 (expm1.f64 x))
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 1 (expm1.f64 x))
(*.f64 -1 (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1) (pow.f64 (sqrt.f64 (expm1.f64 x)) -1))
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (expm1.f64 x) -1)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) 1/3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(/.f64 1 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(/.f64 1 (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 x)))))
(/.f64 1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3))
(/.f64 1 (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(/.f64 1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x)) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (expm1.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (*.f64 (exp.f64 x) -1) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) (pow.f64 (exp.f64 x) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
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(.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (.f64 (/.f64 1 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (exp.f64 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (exp.f64 x) (cbrt.f64 (pow.f64 x -2))))
(.f64 (exp.f64 x) (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))))
(.f64 (.f64 (exp.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (exp.f64 x) x)
(pow.f64 (/.f64 (exp.f64 x) x) 1)
(/.f64 (exp.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 3)
(/.f64 (exp.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3) 1/3)
(/.f64 (exp.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) 2)
(/.f64 (exp.f64 x) x)
(pow.f64 (/.f64 x (exp.f64 x)) -1)
(/.f64 (exp.f64 x) x)
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 x)))
(/.f64 (exp.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2))
(/.f64 (exp.f64 x) x)
(log.f64 (exp.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3))
(/.f64 (exp.f64 x) x)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x -3)))
(cbrt.f64 (.f64 (exp.f64 (.f64 3 x)) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)))
(/.f64 (exp.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(exp.f64 (-.f64 x (log.f64 x)))
(/.f64 (exp.f64 x) x)
(exp.f64 (*.f64 (-.f64 x (log.f64 x)) 1))
(/.f64 (exp.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)

eval62.0ms (0.4%)

Compiler: Compiled 2721 to 1618 computations (40.5% saved)

prune36.0ms (0.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	227	2	229
Fresh	1	1	2
Picked	0	5	5
Done	0	2	2
Total	228	10	238

Accurracy

100.0%

Counts

238 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.4%	(/.f64 (exp.f64 x) x)
✓	97.1%	(/.f64 1 x)
✓	98.0%	(+.f64 (/.f64 1 x) 1/2)
▶	97.2%	(+.f64 1 (/.f64 1 x))
✓	98.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	98.6%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
▶	98.8%	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
✓	6.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.4%	(/.f64 (exp.f64 x) x)
✓	97.1%	(/.f64 1 x)
✓	98.0%	(+.f64 (/.f64 1 x) 1/2)
▶	97.2%	(+.f64 1 (/.f64 1 x))
✓	98.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	98.6%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
▶	98.8%	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))

Compiler

Compiled 164 to 124 computations (24.4% saved)

localize1.1s (7.1%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.8%	(*.f64 -1/720 (pow.f64 x 3))
	99.5%	(*.f64 1/12 x)
	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	100.0%	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
	99.5%	(*.f64 1/12 x)

Compiler

Compiled 107 to 79 computations (26.2% saved)

series7.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 -1/720 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 -1/720 (pow.f64 x 3))
1.0ms	x	@	-inf	(*.f64 -1/720 (pow.f64 x 3))
1.0ms	x	@	-inf	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
1.0ms	x	@	inf	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))

rewrite223.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`prod-diff`
1500×	`log-prod`
1026×	`fma-def`
612×	`expm1-udef`
604×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	371	44
2	4509	44

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
(*.f64 -1/720 (pow.f64 x 3))

Outputs
(+.f64 0 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))
(+.f64 (.f64 (exp.f64 x) (.f64 1/12 x)) (*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2)))
(+.f64 (.f64 (exp.f64 x) (fma.f64 1/12 x (/.f64 1 x))) (.f64 (exp.f64 x) -1/2))
(+.f64 (.f64 (.f64 1/12 x) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)))
(+.f64 (.f64 (fma.f64 1/12 x (/.f64 1 x)) (exp.f64 x)) (.f64 -1/2 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))) 1)
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2 1/4)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8) (exp.f64 x)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2 1/4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4) (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(exp.f64 (*.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))))
(fma.f64 (.f64 1/12 x) (exp.f64 x) (.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)))
(fma.f64 (fma.f64 1/12 x (/.f64 1 x)) (exp.f64 x) (*.f64 -1/2 (exp.f64 x)))
(fma.f64 (exp.f64 x) (.f64 1/12 x) (.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2)))
(fma.f64 (exp.f64 x) (fma.f64 1/12 x (/.f64 1 x)) (*.f64 (exp.f64 x) -1/2))
(+.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(pow.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/720)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/720)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))

simplify140.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1192×	`times-frac`
804×	`distribute-lft-in`
788×	`distribute-rgt-in`
778×	`fma-def`
442×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2196
1	347	1824
2	939	1626
3	3904	1626
4	5625	1626

Stop Event

1×	node limit

Counts

58 → 78

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 1/720 (pow.f64 x 4)))))
(.f64 1/12 (.f64 (exp.f64 x) x))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x))))
(.f64 1/12 (.f64 (exp.f64 x) x))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x))))
(+.f64 0 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))
(+.f64 (.f64 (exp.f64 x) (.f64 1/12 x)) (*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2)))
(+.f64 (.f64 (exp.f64 x) (fma.f64 1/12 x (/.f64 1 x))) (.f64 (exp.f64 x) -1/2))
(+.f64 (.f64 (.f64 1/12 x) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)))
(+.f64 (.f64 (fma.f64 1/12 x (/.f64 1 x)) (exp.f64 x)) (.f64 -1/2 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))) 1)
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2 1/4)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8) (exp.f64 x)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2 1/4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4) (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(exp.f64 (*.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))))
(fma.f64 (.f64 1/12 x) (exp.f64 x) (.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)))
(fma.f64 (fma.f64 1/12 x (/.f64 1 x)) (exp.f64 x) (*.f64 -1/2 (exp.f64 x)))
(fma.f64 (exp.f64 x) (.f64 1/12 x) (.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2)))
(fma.f64 (exp.f64 x) (fma.f64 1/12 x (/.f64 1 x)) (*.f64 (exp.f64 x) -1/2))
(+.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(pow.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/720)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/720)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 x 1/12 (fma.f64 1/720 (pow.f64 x 4) (/.f64 1 x))))
(+.f64 (fma.f64 1/720 (pow.f64 x 4) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 (.f64 x 1/12) (exp.f64 x))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x))))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 (.f64 x 1/12) (exp.f64 x))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x))))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(+.f64 0 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(+.f64 (.f64 (exp.f64 x) (.f64 1/12 x)) (*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2)))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(+.f64 (.f64 (exp.f64 x) (fma.f64 1/12 x (/.f64 1 x))) (.f64 (exp.f64 x) -1/2))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(+.f64 (.f64 (.f64 1/12 x) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(+.f64 (.f64 (fma.f64 1/12 x (/.f64 1 x)) (exp.f64 x)) (.f64 -1/2 (exp.f64 x)))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))) 1)
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2 1/4)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2 1/4))) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) -1/8))
(.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) -1/8) (+.f64 1/4 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)))
(/.f64 (exp.f64 x) (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) -1/4))
(*.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) -1/4) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8) (exp.f64 x)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2 1/4)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2 1/4)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2 1/4))) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) -1/8))
(.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) -1/8) (+.f64 1/4 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4) (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)))
(/.f64 (exp.f64 x) (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) -1/4))
(*.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) -1/4) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 1)
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))) 3)
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 3) 1/3)
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))) 2)
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 2))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 3))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3) (pow.f64 (exp.f64 x) 3)))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3)))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(exp.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(exp.f64 (*.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 1))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(fma.f64 (.f64 1/12 x) (exp.f64 x) (.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(fma.f64 (fma.f64 1/12 x (/.f64 1 x)) (exp.f64 x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(fma.f64 (exp.f64 x) (.f64 1/12 x) (.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2)))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(fma.f64 (exp.f64 x) (fma.f64 1/12 x (/.f64 1 x)) (*.f64 (exp.f64 x) -1/2))
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 1/12 (.f64 x (exp.f64 x)))) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(+.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) 2)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 6)))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/720)))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/720)) 1))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))

eval442.0ms (2.9%)

Compiler: Compiled 7889 to 5718 computations (27.5% saved)

prune44.0ms (0.3%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	426	0	426
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	426	10	436

Accurracy

100.0%

Counts

436 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.4%	(/.f64 (exp.f64 x) x)
✓	97.1%	(/.f64 1 x)
✓	98.0%	(+.f64 (/.f64 1 x) 1/2)
✓	97.2%	(+.f64 1 (/.f64 1 x))
✓	98.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	98.6%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
✓	98.8%	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))

Compiler

Compiled 161 to 113 computations (29.8% saved)

regimes20.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 (exp.f64 x) x)
(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))

Calls

3 calls:

12.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
100.0%	1	`(exp.f64 x)`

Compiler

Compiled 92 to 59 computations (35.9% saved)

regimes7.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 (exp.f64 x) x)
(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

Outputs
(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes6.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 (exp.f64 x) x)

Outputs
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(+.f64 (/.f64 1 x) 1/2)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes9.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))

Outputs
(+.f64 1 (/.f64 1 x))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.2%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 1 x)

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	108
1	28	108
2	32	108
3	34	108
4	35	108

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1 (/.f64 1 x))
(/.f64 1 x)

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 (+.f64 (.f64 x 1/12) (/.f64 1 x)) 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1 (/.f64 1 x))
(/.f64 1 x)

Compiler

Compiled 45 to 35 computations (22.2% saved)

soundness171.0ms (1.1%)

Rules

1678×	`pow1`
1554×	`add-exp-log`
1552×	`log1p-expm1-u`
1550×	`expm1-log1p-u`
1524×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	14	15
2	15	15
0	168	2157
1	397	2097
2	1391	2069
0	10	35
1	205	35
2	2160	35

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

preprocess74.0ms (0.5%)

Compiler: Compiled 112 to 82 computations (26.8% saved)

analyze856.0ms (5.6%)

sample11.1s (72.5%)

preprocess50.0ms (0.3%)

simplify3.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0%)

localize146.0ms (1%)

series2.0ms (0%)

rewrite87.0ms (0.6%)

simplify56.0ms (0.4%)

eval38.0ms (0.2%)

prune31.0ms (0.2%)

localize395.0ms (2.6%)

series7.0ms (0%)

rewrite104.0ms (0.7%)

simplify87.0ms (0.6%)

eval62.0ms (0.4%)

prune36.0ms (0.2%)

localize1.1s (7.1%)

series7.0ms (0%)

rewrite223.0ms (1.5%)

simplify140.0ms (0.9%)

eval442.0ms (2.9%)

prune44.0ms (0.3%)

regimes20.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

simplify7.0ms (0%)

soundness171.0ms (1.1%)

end0.0ms (0%)

preprocess74.0ms (0.5%)

Profiling