Details

analyze113.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
28.6%	25%	62.5%	0%	0%	0%	12.5%	4
30.8%	25%	56.2%	0%	0%	0%	18.7%	5
36%	28.1%	50%	0%	0%	0%	21.9%	6
38.8%	29.7%	46.9%	0%	0%	0%	23.4%	7
40.2%	30.5%	45.3%	0%	0%	0%	24.2%	8
40.7%	30.8%	44.9%	0%	0%	0%	24.2%	9
41.2%	31.2%	44.5%	0%	0%	0%	24.2%	10
41.4%	31.3%	44.4%	0%	0%	0%	24.2%	11
41.5%	31.4%	44.3%	0%	0%	0%	24.3%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.3s (36.7%)

Results

653.0ms	2722×	body	1024	valid
288.0ms	3843×	body	256	valid
242.0ms	1426×	body	512	valid
85.0ms	265×	body	2048	valid
0.0ms	2×	body	256	unsamplable

Bogosity

preprocess16.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	13	8
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	13	8

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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 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))
1.0ms	x	@	0	(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite43.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`pow1_binary64`
493×	`add-sqr-sqrt_binary64`
477×	`add-log-exp_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	99	8
2	1287	8

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))))))

simplify39.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

478×	`associate-l_binary64`
425×	`associate-r_binary64`
314×	`fma-def_binary64`
295×	`distribute-rgt-in_binary64`
281×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	366
1	222	366
2	671	366
3	4275	366

Stop Event

1×	node limit

Counts

42 → 45

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

eval13.0ms (0.4%)

Compiler: Compiled 452 to 207 computations (54.2% saved)

prune10.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	8	46

Error

Counts

46 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	20.5b	(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
	0.8b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
✓	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	22.3b	(/.f64 1 x)
▶	22.3b	(+.f64 (/.f64 1 x) 1/2)
▶	22.3b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	22.6b	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	0.0b	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 130 to 102 computations (21.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
✓	0.0b	(/.f64 1 (expm1.f64 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
1.0ms	x	@	inf	(/.f64 1 (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 1 (expm1.f64 x))
0.0ms	x	@	0	(/.f64 1 (expm1.f64 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

rewrite39.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`pow1_binary64`
542×	`add-log-exp_binary64`
542×	`log1p-expm1-u_binary64`
542×	`expm1-log1p-u_binary64`
529×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	133	14
2	1545	14

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1) (pow.f64 (sqrt.f64 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 x) -1) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1) (pow.f64 (sqrt.f64 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) -1) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))))))

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

484×	`fma-def_binary64`
480×	`associate-l_binary64`
420×	`associate-r_binary64`
384×	`fma-neg_binary64`
342×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	504
1	258	498
2	765	498
3	4991	498

Stop Event

1×	node limit

Counts

65 → 69

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

localize2.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize18.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.4b	(*.f64 1/12 x)

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0.1%)

Counts

2 → 9

Calls

6 calls:

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

rewrite46.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
687×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	151	12
2	1947	12

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/12 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/12 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/144) (-.f64 (*.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/12 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/12 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x))) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/12 x) (/.f64 1 x)) (-.f64 (*.f64 (*.f64 x x) 1/144) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (*.f64 (*.f64 x x) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.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 1/12 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/144) (pow.f64 x -2)) (-.f64 (*.f64 1/12 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/12 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (cbrt.f64 (*.f64 1/12 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/12 x)) (sqrt.f64 (*.f64 1/12 x)) (/.f64 1 x))))))

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-neg_binary64`
389×	`div-sub_binary64`
351×	`associate-l_binary64`
317×	`associate-r_binary64`
303×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	651
1	268	594
2	890	579
3	4558	579

Stop Event

1×	node limit

Counts

55 → 59

Calls

Call 1

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

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

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))
	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.3b	(*.f64 -1/720 (pow.f64 x 3))
	0.4b	(*.f64 1/12 x)

Compiler

Compiled 56 to 43 computations (23.2% saved)

series3.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/720 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))
0.0ms	x	@	0	(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))

rewrite59.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`fma-def_binary64`
549×	`log-prod_binary64`
320×	`pow2_binary64`
303×	`fma-neg_binary64`
220×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	273	22
2	3506	22

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/518400) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) -1/373248000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -1/373248000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/720)) 1))))))

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1/12) (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))))) (#(struct:change #<rule 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-1/720 (pow.f64 x 3) (*.f64 x 1/12))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/720 x) (*.f64 x x) (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/720 (*.f64 x x)) x (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/720 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x 1/12 (/.f64 1 x)))))))

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Rules

408×	`distribute-rgt-in_binary64`
391×	`distribute-lft-in_binary64`
258×	`unswap-sqr_binary64`
255×	`log-prod_binary64`
244×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	2252
1	668	2214
2	1837	2160
3	7510	2160

Stop Event

1×	node limit

Counts

118 → 140

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))) 2)) (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 (pow.f64 x 6) 1/518400) 1/2)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 9) -1/373248000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(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 (*.f64 (pow.f64 x 9) -1/373248000))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(log1p.f64 (expm1.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))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/518400) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/518400))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400)) (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 -1/720 (*.f64 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))) (neg.f64 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (neg.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 2) (-.f64 (pow.f64 x -2) (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (.f64 (pow.f64 x 6) 1/518400)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 2) (pow.f64 x -2)) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (/.f64 1 x)))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400)) (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 3)))) (exp.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)))))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (pow.f64 (exp.f64 x) 1/12))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (pow.f64 (exp.f64 x) 1/12))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))))
(log.f64 (.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 3))))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (pow.f64 (exp.f64 x) 1/12)) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (pow.f64 (exp.f64 x) 1/12)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1))
(fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x (.f64 (.f64 x x) -1/720) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (*.f64 -1/720 (pow.f64 x 3)) 1 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1/12 x (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (.f64 x 1/12) 1 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1 (.f64 x 1/12) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1 (/.f64 1 x) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1 (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (.f64 x x) (.f64 x -1/720) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (.f64 x x) 1/144)) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/144)) (cbrt.f64 (.f64 x 1/12)) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (.f64 x (cbrt.f64 -1/720)) (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (.f64 x (cbrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/12) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/12) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.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 -1/720 (pow.f64 x 3)))
(fma.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 x 1/12) (/.f64 1 x))) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/720) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) 1 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 (.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (.f64 -1/720 x) (.f64 x x) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (.f64 -1/720 (.f64 x x)) x (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (*.f64 -1/720 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x 1/12 (/.f64 1 x)))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(fma.f64 x 1/12 (*.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(fma.f64 x 1/12 (*.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))) 2)) (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 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 1/518400) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 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))
(pow.f64 (*.f64 (pow.f64 x 9) -1/373248000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/373248000))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(log.f64 (pow.f64 (exp.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))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/373248000))
(expm1.f64 (log1p.f64 (*.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))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/720)))
(*.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 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/518400) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/518400))))
(.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/518400))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400)) (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))))
(.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/518400))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400)))
(.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/518400))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 -1/720 (*.f64 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))
(.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/518400))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))) (neg.f64 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400))))
(.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/518400))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (neg.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 2) (-.f64 (pow.f64 x -2) (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (/.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (.f64 -1/720 (pow.f64 x 3))) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (fma.f64 1/12 x (.f64 -1/720 (pow.f64 x 3))) 2) (-.f64 (pow.f64 x -2) (.f64 (/.f64 1 x) (fma.f64 1/12 x (.f64 -1/720 (pow.f64 x 3)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 2) (-.f64 (pow.f64 x -2) (/.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (.f64 -1/720 (pow.f64 x 3))) 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 x 1/12 (.f64 -1/720 (pow.f64 x 3))) 2) (+.f64 1/12 (/.f64 (*.f64 -1/720 (pow.f64 x 3)) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (.f64 (pow.f64 x 6) 1/518400)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 2) (pow.f64 x -2)) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (/.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/12 x (.f64 -1/720 (pow.f64 x 3))) 2) (pow.f64 x -2)) (-.f64 (fma.f64 1/12 x (.f64 -1/720 (pow.f64 x 3))) (/.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 2) (pow.f64 x -2)) (+.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (/.f64 -1 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 (.f64 -1/720 (pow.f64 x 3))) 2) (pow.f64 x -2)) (+.f64 (.f64 x 1/12) (fma.f64 -1/720 (pow.f64 x 3) (/.f64 -1 x))))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2) 1/2)
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 3)
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2)
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400)) (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))) -1)
(.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/518400))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))))
(pow.f64 (/.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) -1)
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 3)))) (exp.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (pow.f64 (exp.f64 x) 1/12))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (pow.f64 (exp.f64 x) 1/12))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 3))))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 3))))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (pow.f64 (exp.f64 x) 1/12)) (exp.f64 (/.f64 1 x))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)) (pow.f64 (exp.f64 x) 1/12)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x (.f64 (.f64 x x) -1/720) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (*.f64 -1/720 (pow.f64 x 3)) 1 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1/12 x (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (.f64 x 1/12) 1 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1 (.f64 x 1/12) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1 (/.f64 1 x) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (/.f64 1 x))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (/.f64 1 x) 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1 (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (.f64 x x) (.f64 x -1/720) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (.f64 x x) 1/144)) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 x (*.f64 x 1/144))) (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/144)) (cbrt.f64 (.f64 x 1/12)) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 x (*.f64 x 1/144))) (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (.f64 x (cbrt.f64 -1/720)) (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (.f64 x (cbrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/12) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (*.f64 -1/720 (pow.f64 x 3))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(+.f64 (fma.f64 x 1/12 (*.f64 -1/720 (pow.f64 x 3))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (+.f64 (/.f64 1 x) (*.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/720) (pow.f64 x 3/2)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/12) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.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 -1/720 (pow.f64 x 3)))
(fma.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 x (/.f64 x 1/12)))) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 x (.f64 x 1/144) (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12)))) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.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)) -1/12)))
(fma.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 x 1/12) (/.f64 1 x))) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 x 1/12) (/.f64 1 x))) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 (fma.f64 (.f64 x x) 1/144 (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/720) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) 1 (/.f64 1 x))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (/.f64 1 x))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (/.f64 1 x))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (*.f64 -1/720 (pow.f64 x 3))) (pow.f64 (/.f64 1 (cbrt.f64 x)) 3))
(fma.f64 (.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (.f64 -1/720 x) (.f64 x x) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (.f64 -1/720 (.f64 x x)) x (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (*.f64 -1/720 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))

eval120.0ms (3.4%)

Compiler: Compiled 5777 to 4354 computations (24.6% saved)

prune50.0ms (1.4%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	322	5	327
Fresh	1	1	2
Picked	0	1	1
Done	1	4	5
Total	324	11	335

Error

Counts

335 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
✓	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	22.3b	(/.f64 1 x)
✓	22.3b	(+.f64 (/.f64 1 x) 1/2)
▶	40.5b	(+.f64 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x))))
✓	22.3b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	22.6b	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	62.1b	(+.f64 1/2 (*.f64 x 1/12))
▶	1.0b	(*.f64 (/.f64 1 x) (exp.f64 x))
▶	0.5b	(*.f64 (-.f64 (/.f64 1 x) 1/2) (exp.f64 x))
▶	0.3b	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))

Compiler

Compiled 170 to 131 computations (22.9% saved)

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.0b	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
	0.4b	(*.f64 1/12 x)

Compiler

Compiled 41 to 29 computations (29.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`prod-diff_binary64`
512×	`log-prod_binary64`
421×	`fma-def_binary64`
299×	`pow2_binary64`
242×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	242	16
2	3175	16

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/12 x) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/12 x (/.f64 1 x)) (exp.f64 x)) (*.f64 -1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (*.f64 1/12 x)) (*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (fma.f64 1/12 x (/.f64 1 x))) (*.f64 (exp.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3) (pow.f64 (exp.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/12 x) (exp.f64 x) (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/12 x (/.f64 1 x)) (exp.f64 x) (*.f64 -1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (*.f64 1/12 x) (*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (fma.f64 1/12 x (/.f64 1 x)) (*.f64 (exp.f64 x) -1/2))))))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

539×	`associate-+l+_binary64`
526×	`associate-+r+_binary64`
374×	`associate-l_binary64`
346×	`distribute-rgt-in_binary64`
344×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1008
1	253	817
2	642	753
3	4199	753
4	7420	753

Stop Event

1×	node limit

Counts

44 → 62

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

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 (.f64 1/12 (exp.f64 x)) x)
(.f64 x (.f64 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) x)
(.f64 x (.f64 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 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 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 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 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))))) 3)
(+.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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (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 (exp.f64 x) (/.f64 (+.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 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)))
(*.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 (.f64 (exp.f64 x) (+.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 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) -1/8) (/.f64 (exp.f64 x) (+.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 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4) (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)) (exp.f64 x)))
(*.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 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) -1/4) (/.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 (exp.f64 x) (/.f64 (+.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 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)))
(*.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 (.f64 (exp.f64 x) (+.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 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) -1/8) (/.f64 (exp.f64 x) (+.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 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4) (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)) (exp.f64 x)))
(*.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 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) -1/4) (/.f64 (exp.f64 x) (+.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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3) (pow.f64 (exp.f64 x) 3)) 1/3)
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 (.f64 1/12 (exp.f64 x)) 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 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3)) 1/3)
(+.f64 (fma.f64 -1/2 (exp.f64 x) (.f64 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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 (.f64 1/12 (exp.f64 x)) 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)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 x 1/12)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x 1/12)
0.0ms	x	@	-inf	(*.f64 x 1/12)
0.0ms	x	@	inf	(*.f64 x 1/12)

rewrite35.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 x 1/12)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 1/12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/24)) (log.f64 (pow.f64 (exp.f64 x) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 1/12)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x 1/12)) (+.f64 1 (*.f64 x 1/12))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x 1/12)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 1/12)) (+.f64 1 (*.f64 x 1/12))) 1) (+.f64 (+.f64 1 (*.f64 x 1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/12) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/1728 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/12)))) (sqrt.f64 (log.f64 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/12))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 1/12))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/12))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/12))) 2))))))

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Rules

797×	`times-frac_binary64`
444×	`distribute-rgt-out_binary64`
376×	`fma-neg_binary64`
327×	`fma-def_binary64`
315×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	238
1	195	229
2	595	225
3	3279	225

Stop Event

1×	node limit

Counts

37 → 31

Calls

Call 1

Inputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(+.f64 (+.f64 1 (*.f64 x 1/12)) -1)
(+.f64 0 (*.f64 x 1/12))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/24)) (log.f64 (pow.f64 (exp.f64 x) 1/24)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) x))))
(-.f64 (+.f64 1 (*.f64 x 1/12)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x 1/12)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x 1/12)) (+.f64 1 (.f64 x 1/12))) (+.f64 1 (.f64 (+.f64 1 (.f64 x 1/12)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 x 1/12)) (+.f64 1 (.f64 x 1/12))) 1) (+.f64 (+.f64 1 (.f64 x 1/12)) 1))
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (pow.f64 (*.f64 x 1/12) 2) 1/2)
(pow.f64 (*.f64 1/1728 (pow.f64 x 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x 1/12)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 1/12)))) (sqrt.f64 (log.f64 (.f64 x 1/12))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 1/12))) 2)) (cbrt.f64 (log.f64 (.f64 x 1/12))))
(sqrt.f64 (pow.f64 (*.f64 x 1/12) 2))
(fabs.f64 (*.f64 x 1/12))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/12))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/12))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/12))) 2))

Outputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(+.f64 (+.f64 1 (*.f64 x 1/12)) -1)
(*.f64 1/12 x)
(+.f64 0 (*.f64 x 1/12))
(*.f64 1/12 x)
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/24)) (log.f64 (pow.f64 (exp.f64 x) 1/24)))
(*.f64 1/12 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) x))))
(-.f64 (+.f64 1 (*.f64 x 1/12)) 1)
(*.f64 1/12 x)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x 1/12)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x 1/12)) (+.f64 1 (.f64 x 1/12))) (+.f64 1 (.f64 (+.f64 1 (.f64 x 1/12)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 1/12 x)) 3) -1) (fma.f64 (+.f64 1 (.f64 1/12 x)) (+.f64 1 (.f64 1/12 x)) (+.f64 1 (+.f64 1 (.f64 1/12 x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 x 1) 3)) (fma.f64 (fma.f64 1/12 x 1) (fma.f64 1/12 x 1) (+.f64 (*.f64 1/12 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/12 x 1) (fma.f64 1/12 x 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 x 1/12)) (+.f64 1 (.f64 x 1/12))) 1) (+.f64 (+.f64 1 (.f64 x 1/12)) 1))
(*.f64 1/12 x)
(pow.f64 (*.f64 x 1/12) 1)
(*.f64 1/12 x)
(pow.f64 (pow.f64 (*.f64 x 1/12) 2) 1/2)
(*.f64 1/12 x)
(pow.f64 (*.f64 1/1728 (pow.f64 x 3)) 1/3)
(*.f64 1/12 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(*.f64 1/12 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(*.f64 1/12 x)
(pow.f64 (E.f64) (log.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 1/12)))) (sqrt.f64 (log.f64 (.f64 x 1/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/12 x)))) (sqrt.f64 (log.f64 (.f64 1/12 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 1/12))) 2)) (cbrt.f64 (log.f64 (.f64 x 1/12))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/12 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/12 x))))
(sqrt.f64 (pow.f64 (*.f64 x 1/12) 2))
(*.f64 1/12 x)
(fabs.f64 (*.f64 x 1/12))
(*.f64 1/12 x)
(log.f64 (pow.f64 (exp.f64 1/12) x))
(*.f64 1/12 x)
(cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))
(*.f64 1/12 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(exp.f64 (log.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/12))) 1/3))
(*.f64 1/12 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/12))) 3))
(*.f64 1/12 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/12))) 2))
(*.f64 1/12 x)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 1 x) (exp.f64 x))

Compiler

Compiled 14 to 8 computations (42.9% saved)

series5.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(*.f64 (/.f64 1 x) (exp.f64 x))
1.0ms	x	@	-inf	(*.f64 (/.f64 1 x) (exp.f64 x))
0.0ms	x	@	inf	(*.f64 (/.f64 1 x) (exp.f64 x))

rewrite35.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`pow1_binary64`
493×	`add-sqr-sqrt_binary64`
475×	`add-log-exp_binary64`
475×	`log1p-expm1-u_binary64`
475×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	115	6
2	1350	6

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 x (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 x)) (/.f64 x (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (exp.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 x (log.f64 x)))))))

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-neg_binary64`
366×	`associate-/l/_binary64`
339×	`fma-def_binary64`
331×	`cube-prod_binary64`
299×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	214
1	147	214
2	409	214
3	1973	211
4	5862	211

Stop Event

1×	node limit

Counts

33 → 32

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 (/.f64 1 x) 1/2) (exp.f64 x))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (-.f64 (/.f64 1 x) 1/2) (exp.f64 x))
0.0ms	x	@	0	(*.f64 (-.f64 (/.f64 1 x) 1/2) (exp.f64 x))
0.0ms	x	@	inf	(*.f64 (-.f64 (/.f64 1 x) 1/2) (exp.f64 x))

rewrite39.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
751×	`add-log-exp_binary64`
751×	`log1p-expm1-u_binary64`
751×	`expm1-log1p-u_binary64`
737×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	168	12
2	2044	12

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (exp.f64 x)) (*.f64 -1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (/.f64 1 x)) (*.f64 (exp.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x -3) -1/8) (exp.f64 x)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x -2) -1/4) (exp.f64 x)) (+.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 x -3) -1/8)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 x) -1/2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) -1/2))))))))

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

640×	`fma-def_binary64`
603×	`associate-/r*_binary64`
382×	`associate-l_binary64`
350×	`associate-/l/_binary64`
325×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	448
1	195	406
2	535	406
3	2893	406
4	5738	406

Stop Event

1×	node limit

Counts

31 → 41

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 1/2 (+.f64 (.f64 -1/12 (pow.f64 x 2)) (/.f64 1 x))))
(*.f64 -1/2 (exp.f64 x))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(*.f64 -1/2 (exp.f64 x))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (.f64 (/.f64 1 x) (exp.f64 x)) (.f64 -1/2 (exp.f64 x)))
(+.f64 (.f64 (exp.f64 x) (/.f64 1 x)) (.f64 (exp.f64 x) -1/2))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) -1/8) (exp.f64 x)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -2) -1/4) (exp.f64 x)) (+.f64 (/.f64 1 x) 1/2))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 x -3) -1/8)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) 1/2))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 x) -1/2)) (exp.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 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) -1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) -1/2))))

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 -1/12 (*.f64 x x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -1/12) 1/2))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 1/2 (+.f64 (.f64 -1/12 (pow.f64 x 2)) (/.f64 1 x))))
(fma.f64 -1/24 (pow.f64 x 3) (+.f64 1/2 (fma.f64 -1/12 (*.f64 x x) (/.f64 1 x))))
(+.f64 (fma.f64 -1/12 (*.f64 x x) (/.f64 1 x)) (fma.f64 -1/24 (pow.f64 x 3) 1/2))
(+.f64 (/.f64 1 x) (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/12) 1/2)))
(fma.f64 x (*.f64 x -1/12) (+.f64 (/.f64 1 x) (fma.f64 -1/24 (pow.f64 x 3) 1/2)))
(+.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -1/12) (fma.f64 -1/24 (pow.f64 x 3) 1/2)))
(*.f64 -1/2 (exp.f64 x))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(*.f64 -1/2 (exp.f64 x))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(+.f64 (.f64 (/.f64 1 x) (exp.f64 x)) (.f64 -1/2 (exp.f64 x)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(+.f64 (.f64 (exp.f64 x) (/.f64 1 x)) (.f64 (exp.f64 x) -1/2))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))) 1)
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) -1/8) (exp.f64 x)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) -1/8)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 x -3) -1/8) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -2) -1/4) (exp.f64 x)) (+.f64 (/.f64 1 x) 1/2))
(/.f64 (exp.f64 x) (/.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (pow.f64 x -2) -1/4)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 x) 1/2)) (+.f64 (pow.f64 x -2) -1/4))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 (exp.f64 x) (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) 1/2)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 x -3) -1/8)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) -1/8)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 x -3) -1/8) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) 1/2))
(/.f64 (exp.f64 x) (/.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (pow.f64 x -2) -1/4)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 x) 1/2)) (+.f64 (pow.f64 x -2) -1/4))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 (exp.f64 x) (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) 1/2)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 1)
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 3) 1/3)
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))) 3)
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))) 2)
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 2))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 x) -1/2)) (exp.f64 x)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x)) 3))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) 3) (pow.f64 (exp.f64 x) 3)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) -1/2) 3)))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) -1/2) (exp.f64 x))))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(exp.f64 (+.f64 x (log.f64 (+.f64 (/.f64 1 x) -1/2))))
(+.f64 (*.f64 -1/2 (exp.f64 x)) (/.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))

localize26.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (*.f64 1/12 x))
✓	0.2b	(.f64 (.f64 x x) 1/144)
	0.4b	(*.f64 1/12 x)
✓	28.9b	(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))

Compiler

Compiled 76 to 49 computations (35.5% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
1.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
1.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
0.0ms	x	@	inf	(.f64 (.f64 x x) 1/144)
0.0ms	x	@	0	(.f64 (.f64 x x) 1/144)

rewrite71.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`log-prod_binary64`
532×	`fma-def_binary64`
258×	`fma-neg_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	325	27
2	4574	23

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
(.f64 (.f64 x x) 1/144)
(-.f64 (/.f64 1 x) (*.f64 1/12 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 (*.f64 1/144 (/.f64 (*.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x))) (*.f64 1/144 (/.f64 (*.f64 x x) (fma.f64 x -1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 x -1/12 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))) (/.f64 1 (fma.f64 x -1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 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(sqrt.f64 x) -1) (*.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 (*.f64 x -1/12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/12))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/12))) (fma.f64 (*.f64 x -1/12) 1 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/12))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/12))) (fma.f64 -1/12 x (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/12))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/12))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/12))) (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))))))

simplify74.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

667×	`unswap-sqr_binary64`
248×	`distribute-rgt-neg-in_binary64`
230×	`fma-neg_binary64`
209×	`distribute-lft-neg-in_binary64`
188×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	427	3531
1	976	3312
2	3396	3015

Stop Event

1×	node limit

Counts

241 → 262

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.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 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(/.f64 1 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(*.f64 -1/12 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(*.f64 -1/12 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (*.f64 x 1/12) (/.f64 1 x))
(+.f64 0 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(-.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x))) (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 1 (fma.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 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) 2) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (/.f64 1 (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 (sqrt.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (.f64 (sqrt.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (/.f64 1 (fma.f64 x -1/12 (/.f64 1 x)))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (/.f64 1 (neg.f64 (fma.f64 x -1/12 (/.f64 1 x)))))
(.f64 (/.f64 1 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))) (fma.f64 x -1/12 (/.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))) (fma.f64 x -1/12 (/.f64 1 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2)) (/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) 2) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) 2) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))) (fma.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 x -2)))
(.f64 (/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 1 x)))
(pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)
(pow.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))) -1)
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (neg.f64 (fma.f64 x -1/12 (/.f64 1 x)))))
(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 (exp.f64 (/.f64 1 x)) (pow.f64 (exp.f64 1/12) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 1/12) 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))) (+.f64 1 (expm1.f64 (.f64 x 1/12)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/12) x) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/12) x) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) 3) (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(log1p.f64 (expm1.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))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (pow.f64 x -2) (/.f64 1 (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 1 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 1 x) 1 (*.f64 x 1/12))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 (*.f64 x 1/12) 1 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/144)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.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 (.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x)))) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x))))) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x)))) (neg.f64 (.f64 1/144 (/.f64 (*.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/20736))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x)))) (sqrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x)))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 x 1/12))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -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 (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2)) (/.f64 (pow.f64 x -2) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (/.f64 (pow.f64 x -2) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (/.f64 1 x) (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) 1) (/.f64 (cbrt.f64 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -4)) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 (pow.f64 x -2) (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))) (fma.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 x -2)) (neg.f64 (.f64 1/144 (/.f64 (.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (/.f64 (pow.f64 x -2) (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 1 x)) (neg.f64 (.f64 1/144 (/.f64 (*.f64 x x) (fma.f64 x -1/12 (/.f64 1 x))))))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(+.f64 0 (.f64 x (.f64 x 1/144)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 1/144))) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 1/144))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 1/144)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 1/144)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 1/144)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/144)))) 1)
(pow.f64 (.f64 x (.f64 x 1/144)) 1)
(pow.f64 (*.f64 x 1/12) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/144)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/20736))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/144)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/144)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/144)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/144))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/144))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/144)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/144)) 1))
(+.f64 (/.f64 1 x) (*.f64 x -1/12))
(+.f64 (/.f64 1 x) (.f64 (.f64 x -1/12) 1))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 -1/12 x (*.f64 x 1/12)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12)))
(+.f64 0 (fma.f64 x -1/12 (/.f64 1 x)))
(+.f64 (*.f64 x -1/12) (/.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (cbrt.f64 (exp.f64 (fma.f64 x -1/12 (/.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/12 (/.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/12 (/.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/12 (/.f64 1 x))))))
(.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 1 (fma.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 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (/.f64 1 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 x -2))))
(.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x 1/12))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/12))))
(/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 1 x)))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 x -2)) (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))) (neg.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (fma.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 x -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))) (neg.f64 (fma.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (.f64 x -1/12) 3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (.f64 x -1/12) (.f64 x -1/12)) (.f64 (/.f64 1 x) (.f64 x -1/12)))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x -1/12) (.f64 x -1/12))) (-.f64 (/.f64 1 x) (.f64 x -1/12)))
(pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1)
(pow.f64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 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 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 1/12) 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))) (+.f64 1 (expm1.f64 (*.f64 x 1/12)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (.f64 x -1/12))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (exp.f64 1/12) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (/.f64 1 (pow.f64 (exp.f64 1/12) x))))
(log.f64 (.f64 (exp.f64 (.f64 x -1/12)) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 1/12) x)) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (exp.f64 (.f64 x -1/12)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 1/12) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(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))))
(log1p.f64 (expm1.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))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (.f64 x -1/12) 1 (*.f64 x 1/12)))
(fma.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 -1/12 x (.f64 x 1/12)))
(fma.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (.f64 x 1/12)))
(fma.f64 1 (/.f64 1 x) (*.f64 x -1/12))
(fma.f64 1 (/.f64 1 x) (.f64 (.f64 x -1/12) 1))
(fma.f64 1 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)))
(fma.f64 1 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 -1/12 x (*.f64 x 1/12)))
(fma.f64 1 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12)))
(fma.f64 1 (*.f64 x -1/12) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 x -1/12))
(fma.f64 (/.f64 1 x) 1 (.f64 (.f64 x -1/12) 1))
(fma.f64 1/12 (neg.f64 x) (/.f64 1 x))
(fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1 (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)))
(fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1 (fma.f64 -1/12 x (*.f64 x 1/12)))
(fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12)))
(fma.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2) (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)))
(fma.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2) (fma.f64 -1/12 x (*.f64 x 1/12)))
(fma.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 -1/12 x (*.f64 x 1/12)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x -1/12))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (.f64 (.f64 x -1/12) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (neg.f64 (cbrt.f64 (.f64 x 1/12))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x -1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (.f64 (.f64 x -1/12) 1))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (neg.f64 (sqrt.f64 (.f64 x 1/12))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)))
(fma.f64 (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 -1/12 x (*.f64 x 1/12)))
(fma.f64 (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x -1/12))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (.f64 (.f64 x -1/12) 1))
(fma.f64 -1 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 x -1/12))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (.f64 (.f64 x -1/12) 1))
(fma.f64 (neg.f64 x) 1/12 (/.f64 1 x))
(fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (/.f64 1 (fma.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 x -2))) (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)))
(fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (/.f64 1 (fma.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 x -2))) (fma.f64 -1/12 x (*.f64 x 1/12)))
(fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (/.f64 1 (fma.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12)))
(fma.f64 -1/12 x (/.f64 1 x))
(fma.f64 (.f64 (cbrt.f64 (.f64 x -1/12)) (cbrt.f64 (.f64 x -1/12))) (cbrt.f64 (.f64 x -1/12)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 x -1/12)) (sqrt.f64 (.f64 x -1/12)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 x -1/12))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (.f64 (.f64 x -1/12) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2)) (cbrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 x -1/12))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (.f64 (.f64 x -1/12) 1))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 x -1/12))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (.f64 (.f64 x -1/12) 1))
(fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x 1/12))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x 1/12))) (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)))
(fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x 1/12))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x 1/12))) (fma.f64 -1/12 x (*.f64 x 1/12)))
(fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x 1/12))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x 1/12))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12)))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))

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

eval188.0ms (5.4%)

Compiler: Compiled 9741 to 6956 computations (28.6% saved)

prune78.0ms (2.2%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	496	3	499
Fresh	0	1	1
Picked	0	1	1
Done	2	7	9
Total	498	12	510

Error

Counts

510 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
✓	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	22.3b	(/.f64 1 x)
✓	22.3b	(+.f64 (/.f64 1 x) 1/2)
✓	40.5b	(+.f64 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x))))
✓	22.3b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	22.6b	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	62.1b	(+.f64 1/2 (*.f64 x 1/12))
✓	0.3b	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
▶	40.1b	(.f64 (-.f64 (.f64 x 1/12) 1/2) (exp.f64 x))
▶	39.8b	(.f64 (.f64 1/12 (exp.f64 x)) x)
▶	40.1b	(*.f64 -1/2 (exp.f64 x))

Compiler

Compiled 111 to 86 computations (22.5% saved)

localize10.0ms (0.3%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/12 (exp.f64 x))
✓	0.2b	(.f64 (.f64 1/12 (exp.f64 x)) x)

Compiler

Compiled 15 to 8 computations (46.7% saved)

series4.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite67.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
497×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`
497×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	118	15
2	1363	15

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/12 (*.f64 x (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/12 (*.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/12 (*.f64 x (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/12 (*.f64 x (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/12 (*.f64 x (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/12 (*.f64 x (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 1/12 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/12 (*.f64 x (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/12 (*.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/12 (*.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (+.f64 x (log.f64 1/12))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/12 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/12 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/12 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/12 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/12 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/144 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/12 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/12 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/12 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 1/12)))))))

simplify48.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

509×	`fma-def_binary64`
423×	`distribute-rgt-out_binary64`
389×	`distribute-rgt-in_binary64`
385×	`distribute-lft-in_binary64`
298×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	403
1	209	360
2	702	324
3	2111	311
4	5540	311

Stop Event

1×	node limit

Counts

38 → 56

Calls

Call 1

Inputs
(*.f64 1/12 x)
(+.f64 (.f64 1/12 (pow.f64 x 2)) (.f64 1/12 x))
(+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/72 (pow.f64 x 4)) (+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (.f64 1/24 (pow.f64 x 3)))))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 1/12 (.f64 (exp.f64 x) x))
1/12
(+.f64 1/12 (*.f64 1/12 x))
(+.f64 1/12 (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/12 x)))
(+.f64 1/12 (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (.f64 1/72 (pow.f64 x 3)) (*.f64 1/12 x))))
(-.f64 (+.f64 1 (.f64 1/12 (.f64 x (exp.f64 x)))) 1)
(pow.f64 (.f64 1/12 (.f64 x (exp.f64 x))) 1)
(pow.f64 (pow.f64 (.f64 1/12 (.f64 x (exp.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/12 (.f64 x (exp.f64 x)))) 3)
(pow.f64 (sqrt.f64 (.f64 1/12 (.f64 x (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 1/12 (.f64 x (exp.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 1/12 (exp.f64 x))))
(cbrt.f64 (pow.f64 (.f64 1/12 (.f64 x (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (.f64 1/12 (.f64 x (exp.f64 x)))))
(log1p.f64 (expm1.f64 (.f64 1/12 (.f64 x (exp.f64 x)))))
(exp.f64 (+.f64 (log.f64 x) (+.f64 x (log.f64 1/12))))
(-.f64 (+.f64 1 (*.f64 1/12 (exp.f64 x))) 1)
(pow.f64 (*.f64 1/12 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 1/12 (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/12 (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/12 (exp.f64 x))) 2)
(sqrt.f64 (*.f64 1/144 (pow.f64 (exp.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 1/12) (exp.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 1/12 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/12 (exp.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 1/12 (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 1/12)))

Outputs
(*.f64 1/12 x)
(+.f64 (.f64 1/12 (pow.f64 x 2)) (.f64 1/12 x))
(.f64 1/12 (+.f64 (.f64 x x) x))
(*.f64 1/12 (fma.f64 x x x))
(*.f64 x (fma.f64 1/12 x 1/12))
(+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/12 (.f64 x x) (fma.f64 1/12 x (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/12 (fma.f64 x x x) (*.f64 1/24 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/12) 1/12))
(+.f64 (.f64 1/72 (pow.f64 x 4)) (+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/72 (pow.f64 x 4) (fma.f64 1/12 (.f64 x x) (fma.f64 1/12 x (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/72 (pow.f64 x 4) (fma.f64 1/12 (fma.f64 x x x) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/12 (fma.f64 x x x) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/72 (pow.f64 x 4))))
(fma.f64 1/72 (pow.f64 x 4) (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/12) 1/12)))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
1/12
(+.f64 1/12 (*.f64 1/12 x))
(fma.f64 1/12 x 1/12)
(+.f64 1/12 (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/12 x)))
(+.f64 1/12 (fma.f64 1/24 (.f64 x x) (.f64 1/12 x)))
(+.f64 1/12 (fma.f64 1/12 x (.f64 x (.f64 x 1/24))))
(fma.f64 1/12 x (fma.f64 x (*.f64 x 1/24) 1/12))
(fma.f64 x (fma.f64 x 1/24 1/12) 1/12)
(+.f64 1/12 (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (.f64 1/72 (pow.f64 x 3)) (*.f64 1/12 x))))
(+.f64 1/12 (fma.f64 1/24 (.f64 x x) (fma.f64 1/72 (pow.f64 x 3) (.f64 1/12 x))))
(+.f64 1/12 (fma.f64 (.f64 x x) 1/24 (fma.f64 1/12 x (.f64 (pow.f64 x 3) 1/72))))
(+.f64 1/12 (fma.f64 1/12 x (.f64 (.f64 x x) (+.f64 1/24 (*.f64 x 1/72)))))
(fma.f64 1/12 x (fma.f64 (*.f64 x x) (fma.f64 x 1/72 1/24) 1/12))
(-.f64 (+.f64 1 (.f64 1/12 (.f64 x (exp.f64 x)))) 1)
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(pow.f64 (.f64 1/12 (.f64 x (exp.f64 x))) 1)
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(pow.f64 (pow.f64 (.f64 1/12 (.f64 x (exp.f64 x))) 3) 1/3)
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(pow.f64 (cbrt.f64 (.f64 1/12 (.f64 x (exp.f64 x)))) 3)
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(pow.f64 (sqrt.f64 (.f64 1/12 (.f64 x (exp.f64 x)))) 2)
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(sqrt.f64 (pow.f64 (.f64 1/12 (.f64 x (exp.f64 x))) 2))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 1/12 (exp.f64 x))))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(cbrt.f64 (pow.f64 (.f64 1/12 (.f64 x (exp.f64 x))) 3))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(expm1.f64 (log1p.f64 (.f64 1/12 (.f64 x (exp.f64 x)))))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(log1p.f64 (expm1.f64 (.f64 1/12 (.f64 x (exp.f64 x)))))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (+.f64 x (log.f64 1/12))))
(.f64 (.f64 1/12 x) (exp.f64 x))
(.f64 1/12 (.f64 x (exp.f64 x)))
(.f64 x (.f64 1/12 (exp.f64 x)))
(-.f64 (+.f64 1 (*.f64 1/12 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(pow.f64 (*.f64 1/12 (exp.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(pow.f64 (pow.f64 (*.f64 1/12 (exp.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(pow.f64 (cbrt.f64 (*.f64 1/12 (exp.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(pow.f64 (sqrt.f64 (*.f64 1/12 (exp.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(sqrt.f64 (*.f64 1/144 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(log.f64 (pow.f64 (exp.f64 1/12) (exp.f64 x)))
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(cbrt.f64 (pow.f64 (*.f64 1/12 (exp.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(expm1.f64 (log1p.f64 (*.f64 1/12 (exp.f64 x))))
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(log1p.f64 (expm1.f64 (*.f64 1/12 (exp.f64 x))))
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))
(exp.f64 (+.f64 x (log.f64 1/12)))
(+.f64 1 (-.f64 (*.f64 1/12 (exp.f64 x)) 1))
(+.f64 (*.f64 1/12 (exp.f64 x)) 0)
(*.f64 1/12 (exp.f64 x))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (.f64 x 1/12) 1/2) (exp.f64 x))
	0.4b	(*.f64 x 1/12)

Compiler

Compiled 22 to 15 computations (31.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (-.f64 (.f64 x 1/12) 1/2) (exp.f64 x))
0.0ms	x	@	inf	(.f64 (-.f64 (.f64 x 1/12) 1/2) (exp.f64 x))
0.0ms	x	@	0	(.f64 (-.f64 (.f64 x 1/12) 1/2) (exp.f64 x))

rewrite41.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`pow1_binary64`
773×	`add-log-exp_binary64`
773×	`log1p-expm1-u_binary64`
773×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	10
2	2051	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/12) (exp.f64 x)) (*.f64 -1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (*.f64 x 1/12)) (*.f64 (exp.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x 1/12) 3) -1/8) (exp.f64 x)) (+.f64 (pow.f64 (*.f64 x 1/12) 2) (+.f64 1/4 (*.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x 1/12) 2) -1/4) (exp.f64 x)) (fma.f64 x 1/12 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (*.f64 x 1/12) 3) -1/8)) (+.f64 (pow.f64 (*.f64 x 1/12) 2) (+.f64 1/4 (*.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (*.f64 x 1/12) 2) -1/4)) (fma.f64 x 1/12 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (fma.f64 x 1/12 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/12 -1/2) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fma.f64 x 1/12 -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (fma.f64 x 1/12 -1/2))))))))

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-def_binary64`
449×	`associate-l_binary64`
447×	`associate-+l+_binary64`
406×	`associate-r_binary64`
366×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	379
1	210	367
2	589	359
3	3214	347
4	5188	346

Stop Event

1×	node limit

Counts

31 → 45

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 -5/12 x) 1/2)
(-.f64 (+.f64 (.f64 -5/12 x) (.f64 -1/6 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -5/12 x) (*.f64 -1/6 (pow.f64 x 2)))) 1/2)
(.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 -1/2 (exp.f64 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 1/12 (.f64 (exp.f64 x) x))
(+.f64 (.f64 -1/2 (exp.f64 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 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(+.f64 (.f64 (.f64 x 1/12) (exp.f64 x)) (*.f64 -1/2 (exp.f64 x)))
(+.f64 (.f64 (exp.f64 x) (.f64 x 1/12)) (*.f64 (exp.f64 x) -1/2))
(-.f64 (+.f64 1 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))) 1)
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x 1/12) 3) -1/8) (exp.f64 x)) (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 1/4 (.f64 x 1/24))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) -1/4) (exp.f64 x)) (fma.f64 x 1/12 1/2))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 x 1/12) 3) -1/8)) (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 1/4 (.f64 x 1/24))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 x 1/12) 2) -1/4)) (fma.f64 x 1/12 1/2))
(pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (fma.f64 x 1/12 -1/2)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/12 -1/2) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fma.f64 x 1/12 -1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 (fma.f64 x 1/12 -1/2))))

Outputs
-1/2
(-.f64 (*.f64 -5/12 x) 1/2)
(fma.f64 -5/12 x -1/2)
(-.f64 (+.f64 (.f64 -5/12 x) (.f64 -1/6 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 -5/12 x (.f64 -1/6 (.f64 x x))) -1/2)
(fma.f64 -5/12 x (fma.f64 -1/6 (*.f64 x x) -1/2))
(fma.f64 -5/12 x (fma.f64 x (*.f64 x -1/6) -1/2))
(fma.f64 x (fma.f64 x -1/6 -5/12) -1/2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -5/12 x) (*.f64 -1/6 (pow.f64 x 2)))) 1/2)
(+.f64 (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -5/12 x (.f64 -1/6 (.f64 x x)))) -1/2)
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -5/12 x (fma.f64 -1/6 (*.f64 x x) -1/2)))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -5/12 x (fma.f64 x (*.f64 x -1/6) -1/2)))
(fma.f64 -5/12 x (fma.f64 x (*.f64 x (fma.f64 x -1/24 -1/6)) -1/2))
(fma.f64 x (+.f64 -5/12 (*.f64 x (fma.f64 x -1/24 -1/6))) -1/2)
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 (exp.f64 x) (.f64 x 1/12))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(.f64 1/12 (.f64 (exp.f64 x) x))
(.f64 x (.f64 1/12 (exp.f64 x)))
(.f64 (exp.f64 x) (.f64 x 1/12))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(+.f64 (.f64 -1/2 (exp.f64 x)) (.f64 1/12 (*.f64 (exp.f64 x) x)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(+.f64 (.f64 (.f64 x 1/12) (exp.f64 x)) (*.f64 -1/2 (exp.f64 x)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(+.f64 (.f64 (exp.f64 x) (.f64 x 1/12)) (*.f64 (exp.f64 x) -1/2))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(-.f64 (+.f64 1 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))) 1)
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x 1/12) 3) -1/8) (exp.f64 x)) (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 1/4 (.f64 x 1/24))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) -1/8) (/.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 1/4 (*.f64 x 1/24))) (exp.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 -1/8) (/.f64 (+.f64 (.f64 (.f64 x x) 1/144) (fma.f64 x 1/24 1/4)) (exp.f64 x)))
(.f64 (exp.f64 x) (/.f64 (fma.f64 (pow.f64 x 3) 1/1728 -1/8) (fma.f64 x (.f64 x 1/144) (fma.f64 x 1/24 1/4))))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 (pow.f64 x 3) 1/1728 -1/8) (fma.f64 x (fma.f64 x 1/144 1/24) 1/4)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) -1/4) (exp.f64 x)) (fma.f64 x 1/12 1/2))
(/.f64 (exp.f64 x) (/.f64 (fma.f64 x 1/12 1/2) (+.f64 (pow.f64 (*.f64 x 1/12) 2) -1/4)))
(.f64 (/.f64 (exp.f64 x) (fma.f64 x 1/12 1/2)) (+.f64 (.f64 (*.f64 x x) 1/144) -1/4))
(.f64 (exp.f64 x) (/.f64 (fma.f64 x (.f64 x 1/144) -1/4) (fma.f64 x 1/12 1/2)))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 x 1/12) 3) -1/8)) (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 1/4 (.f64 x 1/24))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) -1/8) (/.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 1/4 (*.f64 x 1/24))) (exp.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 -1/8) (/.f64 (+.f64 (.f64 (.f64 x x) 1/144) (fma.f64 x 1/24 1/4)) (exp.f64 x)))
(.f64 (exp.f64 x) (/.f64 (fma.f64 (pow.f64 x 3) 1/1728 -1/8) (fma.f64 x (.f64 x 1/144) (fma.f64 x 1/24 1/4))))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 (pow.f64 x 3) 1/1728 -1/8) (fma.f64 x (fma.f64 x 1/144 1/24) 1/4)))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 x 1/12) 2) -1/4)) (fma.f64 x 1/12 1/2))
(/.f64 (exp.f64 x) (/.f64 (fma.f64 x 1/12 1/2) (+.f64 (pow.f64 (*.f64 x 1/12) 2) -1/4)))
(.f64 (/.f64 (exp.f64 x) (fma.f64 x 1/12 1/2)) (+.f64 (.f64 (*.f64 x x) 1/144) -1/4))
(.f64 (exp.f64 x) (/.f64 (fma.f64 x (.f64 x 1/144) -1/4) (fma.f64 x 1/12 1/2)))
(pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 1)
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 3) 1/3)
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))) 3)
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))) 2)
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 2))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (fma.f64 x 1/12 -1/2)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x)) 3))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/12 -1/2) 3) (pow.f64 (exp.f64 x) 3)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fma.f64 x 1/12 -1/2) 3)))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 1/12 -1/2) (exp.f64 x))))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))
(exp.f64 (+.f64 x (log.f64 (fma.f64 x 1/12 -1/2))))
(*.f64 (exp.f64 x) (fma.f64 x 1/12 -1/2))

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	0.3b	(cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)

Compiler

Compiled 26 to 8 computations (69.2% saved)

series7.0ms (0.2%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
0.0ms	x	@	0	(cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
0.0ms	x	@	inf	(cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))

rewrite45.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`pow1_binary64`
650×	`add-log-exp_binary64`
650×	`log1p-expm1-u_binary64`
650×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	168	18
2	1809	18

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1/6) (*.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1/6) (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (exp.f64 x))) (cbrt.f64 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (neg.f64 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1/3))))))

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

727×	`fma-neg_binary64`
635×	`exp-prod_binary64`
571×	`unswap-sqr_binary64`
496×	`associate-/l*_binary64`
387×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	867
1	355	855
2	1169	855
3	7060	845

Stop Event

1×	node limit

Counts

88 → 80

Calls

Call 1

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

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

eval61.0ms (1.8%)

Compiler: Compiled 3129 to 1745 computations (44.2% saved)

prune35.0ms (1%)

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	256	1	257
Fresh	0	0	0
Picked	0	1	1
Done	0	11	11
Total	256	13	269

Error

Counts

269 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
✓	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	22.3b	(/.f64 1 x)
✓	22.3b	(+.f64 (/.f64 1 x) 1/2)
✓	40.5b	(+.f64 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x))))
✓	22.3b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	22.6b	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	62.1b	(+.f64 1/2 (*.f64 x 1/12))
✓	0.3b	(.f64 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2) (exp.f64 x))
✓	40.1b	(.f64 (-.f64 (.f64 x 1/12) 1/2) (exp.f64 x))
✓	39.8b	(.f64 (.f64 1/12 (exp.f64 x)) x)
✓	40.1b	(*.f64 -1/2 (exp.f64 x))
	61.9b	-1/2

Compiler

Compiled 113 to 88 computations (22.1% saved)

regimes18.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
-1/2
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 -1/2 (exp.f64 x))
(.f64 (.f64 1/12 (exp.f64 x)) x)
(*.f64 (/.f64 1 x) (exp.f64 x))
(.f64 (-.f64 (.f64 x 1/12) 1/2) (exp.f64 x))
(*.f64 (-.f64 (/.f64 1 x) 1/2) (exp.f64 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 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 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))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)

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

Calls

3 calls:

8.0ms	x
3.0ms	(exp.f64 x)
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
0.0b	1	`(exp.f64 x)`

Compiler

Compiled 150 to 94 computations (37.3% saved)

regimes13.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
-1/2
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 -1/2 (exp.f64 x))
(.f64 (.f64 1/12 (exp.f64 x)) x)
(*.f64 (/.f64 1 x) (exp.f64 x))
(.f64 (-.f64 (.f64 x 1/12) 1/2) (exp.f64 x))
(*.f64 (-.f64 (/.f64 1 x) 1/2) (exp.f64 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 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x))))

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

Calls

2 calls:

8.0ms	x
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(exp.f64 x)`

Compiler

Compiled 107 to 75 computations (29.9% saved)

regimes10.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(exp.f64 x)`

Compiler

Compiled 61 to 41 computations (32.8% saved)

regimes11.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 1 x) (exp.f64 x))

Calls

2 calls:

5.0ms	x
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`(exp.f64 x)`

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes14.0ms (0.4%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
3.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.3b	2	`x`
0.3b	2	`(exp.f64 x)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0013418862130697145	0.9800158376568254

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
3.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.3b	2	`x`
0.3b	2	`(exp.f64 x)`

Compiler

Compiled 33 to 25 computations (24.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0013418862130697145	0.9800158376568254

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0.2%)

Accuracy

Total -40.8b remaining (-183.1%)

Threshold costs -40.8b (-183.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
22.3b	1	`x`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	109
1	40	109
2	42	109

Stop Event

1×	fuel
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 (-.f64 (/.f64 1 x) 1/2) (exp.f64 x))
(*.f64 (/.f64 1 x) (exp.f64 x))
(if (<=.f64 (exp.f64 x) 1152921504606847/576460752303423488) (.f64 (.f64 1/12 (exp.f64 x)) x) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(if (<=.f64 (exp.f64 x) 1152921504606847/576460752303423488) (.f64 -1/2 (exp.f64 x)) (+.f64 1/2 (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 1 x)
-1/2

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 (-.f64 (/.f64 1 x) 1/2) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 (/.f64 1 x) -1/2))
(*.f64 (/.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (/.f64 1 x))
(if (<=.f64 (exp.f64 x) 1152921504606847/576460752303423488) (.f64 (.f64 1/12 (exp.f64 x)) x) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(if (<=.f64 (exp.f64 x) 1152921504606847/576460752303423488) (.f64 x (.f64 (exp.f64 x) 1/12)) (+.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) 1/2))
(if (<=.f64 (exp.f64 x) 1152921504606847/576460752303423488) (.f64 -1/2 (exp.f64 x)) (+.f64 1/2 (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(if (<=.f64 (exp.f64 x) 1152921504606847/576460752303423488) (.f64 (exp.f64 x) -1/2) (+.f64 (+.f64 (.f64 x 1/12) (/.f64 1 x)) 1/2))
(/.f64 1 x)
-1/2

Compiler

Compiled 81 to 60 computations (25.9% saved)

soundness7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	13	8

Stop Event

1×

saturated

Compiler

Compiled 14 to 9 computations (35.7% saved)

end51.0ms (1.5%)

Compiler: Compiled 74 to 48 computations (35.1% saved)

Details

analyze113.0ms (3.2%)

sample1.3s (36.7%)

preprocess16.0ms (0.4%)

simplify12.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite43.0ms (1.2%)

simplify39.0ms (1.1%)

eval13.0ms (0.4%)

prune10.0ms (0.3%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite39.0ms (1.1%)

simplify49.0ms (1.4%)

localize2.0ms (0.1%)

localize5.0ms (0.1%)

localize18.0ms (0.5%)

series2.0ms (0.1%)

rewrite46.0ms (1.3%)

simplify40.0ms (1.1%)

localize21.0ms (0.6%)

series3.0ms (0.1%)

rewrite59.0ms (1.7%)

simplify70.0ms (2%)

eval120.0ms (3.4%)

prune50.0ms (1.4%)

localize15.0ms (0.4%)

series1.0ms (0%)

rewrite54.0ms (1.6%)

simplify57.0ms (1.6%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite35.0ms (1%)

simplify36.0ms (1%)

localize6.0ms (0.2%)

series5.0ms (0.2%)

rewrite35.0ms (1%)

simplify40.0ms (1.1%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite39.0ms (1.1%)

simplify44.0ms (1.3%)

localize26.0ms (0.7%)

series5.0ms (0.1%)

rewrite71.0ms (2%)

simplify74.0ms (2.1%)

eval188.0ms (5.4%)

prune78.0ms (2.2%)

localize10.0ms (0.3%)

localize9.0ms (0.3%)

series4.0ms (0.1%)

rewrite67.0ms (1.9%)

simplify48.0ms (1.4%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite41.0ms (1.2%)

simplify45.0ms (1.3%)

localize8.0ms (0.2%)

series7.0ms (0.2%)

rewrite45.0ms (1.3%)

simplify55.0ms (1.6%)

eval61.0ms (1.8%)

prune35.0ms (1%)

regimes18.0ms (0.5%)

regimes13.0ms (0.4%)

regimes10.0ms (0.3%)

regimes11.0ms (0.3%)

regimes14.0ms (0.4%)

bsearch0.0ms (0%)

regimes14.0ms (0.4%)

bsearch0.0ms (0%)

regimes5.0ms (0.2%)

simplify6.0ms (0.2%)

soundness7.0ms (0.2%)

end51.0ms (1.5%)

Profiling