Details

analyze145.0ms (5%)

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 (44.3%)

Results

653.0ms	2680×	body	1024	valid
314.0ms	3842×	body	256	valid
211.0ms	1428×	body	512	valid
91.0ms	306×	body	2048	valid
0.0ms	1×	body	2048	infinite
0.0ms	3×	body	256	unsamplable

Bogosity

preprocess18.0ms (0.6%)

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)

simplify6.0ms (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

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

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.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))

rewrite37.0ms (1.3%)

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 exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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 exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))))

simplify38.0ms (1.3%)

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))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

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

eval8.0ms (0.3%)

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

prune7.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Error

0.4b

Counts

46 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	19.0b	(/.f64 1 x)
▶	19.1b	(+.f64 (/.f64 1 x) 1/2)
▶	19.3b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	1.4b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))

Compiler

Compiled 41 to 30 computations (26.8% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
✓	0.3b	(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
✓	0.6b	(/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))
✓	0.9b	(cbrt.f64 (expm1.f64 x))

Compiler

Compiled 43 to 18 computations (58.1% saved)

series19.0ms (0.7%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
3.0ms	x	@	inf	(/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))
2.0ms	x	@	-inf	(/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))
2.0ms	x	@	inf	(cbrt.f64 (expm1.f64 x))

rewrite64.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
377×	`exp-prod_binary64`
316×	`pow-prod-down_binary64`
248×	`pow2_binary64`
191×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	228	31
2	2810	31

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

Inputs
(cbrt.f64 (expm1.f64 x))
(/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (expm1.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (/.f64 1 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) -2) (/.f64 (exp.f64 x) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) 1) (cbrt.f64 (/.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)) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 x) -1/6) (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (pow.f64 (expm1.f64 x) 1/6)) (/.f64 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(.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))))

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

432×	`div-sub_binary64`
341×	`exp-prod_binary64`
321×	`times-frac_binary64`
260×	`sqr-pow_binary64`
238×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	4294969618
1	940	2264
2	3778	2255

Stop Event

1×	node limit

Counts

223 → 247

Calls

Call 1

Inputs
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(/.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 0 (cbrt.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) 1)
(*.f64 1 (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(pow.f64 (expm1.f64 x) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1/2)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2/3)
(pow.f64 (pow.f64 (expm1.f64 x) 1/6) 2)
(pow.f64 (exp.f64 1/3) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(fabs.f64 (cbrt.f64 (expm1.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (expm1.f64 x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 0 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 1)
(*.f64 1 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) -2) (/.f64 (exp.f64 x) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) 1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) -1/6) (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (pow.f64 (expm1.f64 x) 1/6)) (/.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (expm1.f64 x) 1/6)))
(pow.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) 2)
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1)
(pow.f64 (/.f64 (exp.f64 (*.f64 3 x)) (expm1.f64 x)) 1/3)
(pow.f64 (/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x))))) 2)) (cbrt.f64 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x)))))) (sqrt.f64 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x))))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 3))
(cbrt.f64 (/.f64 (exp.f64 (*.f64 3 x)) (expm1.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x)))) 1))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x))))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x))))) 3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x))))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) x) -1))
(exp.f64 (.f64 (.f64 (-.f64 x (log.f64 (cbrt.f64 (expm1.f64 x)))) 1) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))
(+.f64 0 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1)
(/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) -2))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) -1)
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(exp.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 2/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x))))
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))
(/.f64 1 (/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) 2) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))))
(/.f64 -1 (*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(/.f64 -1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) 1) (.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (.f64 (exp.f64 x) -1) (.f64 (cbrt.f64 (expm1.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) -1) (.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (.f64 -1 (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 1) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) 1) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2)) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 -1 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (*.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) -1) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (neg.f64 (exp.f64 x))) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2) 1/2)
(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 (exp.f64 (*.f64 3 x)) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 3) (pow.f64 (expm1.f64 x) 2)) 1/3)
(pow.f64 (*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) -1)
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x))) -1)
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) -1)
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.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))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (exp.f64 (*.f64 3 x)) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 3) (pow.f64 (expm1.f64 x) 2)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (.f64 (.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

Outputs
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(/.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 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 (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 0 (cbrt.f64 (expm1.f64 x)))
(cbrt.f64 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x)))) 1)
(cbrt.f64 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) 1)
(cbrt.f64 (expm1.f64 x))
(*.f64 1 (cbrt.f64 (expm1.f64 x)))
(cbrt.f64 (expm1.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (exp.f64 2/9) (log.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (exp.f64 2/9) (log.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (expm1.f64 x) 1/6))
(cbrt.f64 (expm1.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 2/9) (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(pow.f64 (expm1.f64 x) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 1)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1/2)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/6)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3) 1/18) (pow.f64 (pow.f64 (expm1.f64 x) 3) 1/18))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 3/2)
(pow.f64 (pow.f64 (exp.f64 2/9) (log.f64 (expm1.f64 x))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (expm1.f64 x) 1/6) 2)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (exp.f64 1/3) (log.f64 (expm1.f64 x)))
(cbrt.f64 (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(cbrt.f64 (expm1.f64 x))
(fabs.f64 (cbrt.f64 (expm1.f64 x)))
(cbrt.f64 (expm1.f64 x))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 x)))))
(cbrt.f64 (expm1.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1/2))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (expm1.f64 x))) 2))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) 1/3))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) 1))
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(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.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 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (expm1.f64 x)) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (expm1.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) 2) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (cbrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.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 (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (sqrt.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (cbrt.f64 (expm1.f64 x)) (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 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) 1) (.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (.f64 (exp.f64 x) -1) (.f64 (cbrt.f64 (expm1.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) -1) (.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (.f64 -1 (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (neg.f64 (cbrt.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 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))) (cbrt.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 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 1) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (exp.f64 x) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 2/9) (log.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 7)))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) 1) (cbrt.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (exp.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(/.f64 (exp.f64 x) (.f64 (.f64 (pow.f64 (exp.f64 2/9) (log.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2)) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (*.f64 -1 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (*.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) -1) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (neg.f64 (exp.f64 x))) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2) 1/2)
(/.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 (exp.f64 (*.f64 3 x)) (pow.f64 (expm1.f64 x) 3)) 1/3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 3) (pow.f64 (expm1.f64 x) 2)) 1/3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x))) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (/.f64 (exp.f64 (*.f64 3 x)) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) 3) (pow.f64 (expm1.f64 x) 2)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (.f64 (.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1) 1))
(/.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))

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.3b	(*.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	@	inf	(*.f64 1/12 x)
0.0ms	x	@	0	(*.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))

rewrite45.0ms (1.6%)

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 exp.f64 (log.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 -.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 exp.f64 (log.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 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))))))

simplify44.0ms (1.5%)

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)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(log1p.f64 (expm1.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))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log1p.f64 (expm1.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)
(exp.f64 (log.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(log1p.f64 (expm1.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))
(exp.f64 (log.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))
(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))

localize5.0ms (0.2%)

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

localize3.0ms (0.1%)

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

eval90.0ms (3.1%)

Compiler: Compiled 6015 to 3024 computations (49.7% saved)

prune51.0ms (1.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	357	1	358
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	358	5	363

Error

0.4b

Counts

363 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	19.0b	(/.f64 1 x)
✓	19.1b	(+.f64 (/.f64 1 x) 1/2)
▶	38.9b	(+.f64 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x))))
✓	19.3b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 46 to 35 computations (23.9% saved)

localize28.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (*.f64 1/12 x))
	0.3b	(*.f64 1/12 x)
✓	0.4b	(.f64 (.f64 x x) 1/144)
✓	28.3b	(/.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)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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 (2.5%)

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 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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(/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (neg.f64 (fma.f64 x -1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (pow.f64 (exp.f64 1/12) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 1/12) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 x 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 x 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/12) x) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/12) x) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.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 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/12) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (*.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/12) 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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1/12 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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 -1/12 x (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((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 (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 -1/12 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/12)) (sqrt.f64 (*.f64 x -1/12)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 (*.f64 x -1/12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2)) (cbrt.f64 (*.f64 x 1/12)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 1/12))) (sqrt.f64 (*.f64 x 1/12)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 (*.f64 x -1/12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 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(sqrt.f64 x) (/.f64 1 x))))))

simplify80.0ms (2.8%)

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	3397	3015

Stop Event

1×	node limit

Counts

241 → 265

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

eval415.0ms (14.3%)

Compiler: Compiled 6696 to 4842 computations (27.7% saved)

prune133.0ms (4.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	277	5	282

Error

0.4b

Counts

282 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	19.0b	(/.f64 1 x)
✓	19.1b	(+.f64 (/.f64 1 x) 1/2)
✓	38.9b	(+.f64 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x))))
✓	19.3b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes10.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 76 to 49 computations (35.5% saved)

regimes148.0ms (5.1%)

Accuracy

Total -20.4b remaining (-107.4%)

Threshold costs -20.4b (-107.4%)

Counts

4 → 1

Calls

Call 1

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
19.0b	1	`x`

Compiler

Compiled 39 to 29 computations (25.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	9	12

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 7 computations (30% 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)

end16.0ms (0.6%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

Details

analyze145.0ms (5%)

sample1.3s (44.3%)

preprocess18.0ms (0.6%)

simplify6.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite37.0ms (1.3%)

simplify38.0ms (1.3%)

eval8.0ms (0.3%)

prune7.0ms (0.3%)

localize16.0ms (0.6%)

series19.0ms (0.7%)

rewrite64.0ms (2.2%)

simplify72.0ms (2.5%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

rewrite45.0ms (1.6%)

simplify44.0ms (1.5%)

localize5.0ms (0.2%)

localize3.0ms (0.1%)

eval90.0ms (3.1%)

prune51.0ms (1.8%)

localize28.0ms (1%)

series4.0ms (0.2%)

rewrite71.0ms (2.5%)

simplify80.0ms (2.8%)

eval415.0ms (14.3%)

prune133.0ms (4.6%)

regimes10.0ms (0.4%)

regimes148.0ms (5.1%)

simplify2.0ms (0.1%)

soundness7.0ms (0.2%)

end16.0ms (0.6%)

Profiling