Details

analyze113.0ms (2.5%)

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 (28%)

Results

670.0ms	2704×	body	1024	valid
292.0ms	3869×	body	256	valid
212.0ms	1401×	body	512	valid
96.0ms	282×	body	2048	valid
0.0ms	2×	body	256	unsamplable

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

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

0.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`add-sqr-sqrt`
1382×	`*-un-lft-identity`
1282×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1250×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	137	15
2	1722	15

Stop Event

1×	node limit

Counts

1 → 31

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

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-r`
1276×	`associate-l`
1040×	`distribute-lft-in`
1024×	`distribute-rgt-in`
658×	`distribute-lft-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	813
1	236	789
2	873	789
3	4944	789

Stop Event

1×	node limit

Counts

43 → 50

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

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

eval8.0ms (0.2%)

Compiler: Compiled 509 to 217 computations (57.4% saved)

prune10.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	7	51

Error

0.6b

Counts

51 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
✓	0.8b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	20.7b	(/.f64 1 x)
▶	20.7b	(+.f64 (/.f64 1 x) 1/2)
▶	20.6b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	20.9b	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
	43.3b	(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

Compiler

Compiled 112 to 88 computations (21.4% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
	0.7b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
0.0ms	x	@	0	(cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
0.0ms	x	@	inf	(cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`add-sqr-sqrt`
1732×	`*-un-lft-identity`
1634×	`add-cube-cbrt`
1614×	`add-cbrt-cube`
172×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	205	34
2	2275	34

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

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

Outputs

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

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

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1398×	`associate-+r+`
1268×	`times-frac`
1110×	`unswap-sqr`
922×	`associate-/l*`
864×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	1718
1	376	1694
2	1352	1694
3	7783	1694

Stop Event

1×	node limit

Counts

92 → 84

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series1.0ms (0%)

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))

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1742×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1612×	`add-cube-cbrt`
1598×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	172	22
2	2161	22

Stop Event

1×	node limit

Counts

2 → 50

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

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

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-/r*`
1192×	`associate-r`
1104×	`associate-+r+`
962×	`associate-l`
850×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1291
1	277	1177
2	1003	1147
3	5134	1147

Stop Event

1×	node limit

Counts

59 → 63

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

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))
	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.1b	(*.f64 -1/720 (pow.f64 x 3))
	0.4b	(*.f64 1/12 x)

Compiler

Compiled 56 to 43 computations (23.2% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite87.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`associate-*r/`
1224×	`associate-*l/`
418×	`associate-/r*`
288×	`add-sqr-sqrt`
272×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	294	42
2	3713	42

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

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

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simplify114.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-/l/`
1138×	`associate-/r/`
802×	`associate-+l+`
712×	`associate-+r+`
670×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	340	9221
1	997	8923
2	4545	8923

Stop Event

1×	node limit

Counts

129 → 183

Calls

Call 1

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

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) 1) (/.f64 1 x))
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 (.f64 x (.f64 x -1/720)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) -1/720))
(.f64 (/.f64 -1/720 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (.f64 x x))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 x (.f64 x -1/720)) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 x) (.f64 -1/720 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 x) 2))))
(.f64 (.f64 x (.f64 x -1/720)) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x)) -1)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 1 (.f64 (*.f64 x x) -1/720)) (/.f64 1 x))
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 x x) -1/720)) (pow.f64 x -1/2))
(/.f64 (.f64 x (.f64 x -1/720)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) -1/720))
(.f64 (/.f64 -1/720 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (.f64 x x))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 x x) -1/720)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 x (.f64 x -1/720)) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 x) (.f64 -1/720 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 x) 2))))
(.f64 (.f64 x (.f64 x -1/720)) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 x x) -1/720)) -1)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(*.f64 -1/720 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 3))) 1))
(*.f64 -1/720 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) (-.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 1 (*.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (+.f64 1 (*.f64 1/720 (pow.f64 x 3))))
(fma.f64 -1/720 (pow.f64 x 3) (expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 1/12))) (-.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (expm1.f64 (log1p.f64 (*.f64 x 1/12))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 6) 1/518400) 3) (pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) 3)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (+.f64 (.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1/268738560000) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 4) (.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 6) 1/139314069504000000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 6)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (fma.f64 (pow.f64 x 6) (*.f64 1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 12) 1/268738560000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 4))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000)) (.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))))) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 x 3) 3)) 1/139314069504000000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 6)) (.f64 (fma.f64 (pow.f64 x 6) 1/518400 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))))) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 6) 1/139314069504000000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 6)) (.f64 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) 3) (pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))))) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000)) (-.f64 (.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x 3) 3) 3) -1/51998697814228992000000000) (pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 3)) (.f64 (fma.f64 (pow.f64 x 6) 1/518400 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))))) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 x 3) 3)) 1/139314069504000000) (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 6) (.f64 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 3) 3) 3) -1/51998697814228992000000000 (pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 3)) (.f64 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)) (fma.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/373248000)) (*.f64 (pow.f64 (pow.f64 x 3) 6) 1/139314069504000000))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) 1) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (sqrt.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))) (cbrt.f64 (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (+.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)))) (-.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (.f64 (-.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (+.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) 1) (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 3)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))
(fabs.f64 (fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x))))
(log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (.f64 x (cbrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))

eval231.0ms (5%)

Compiler: Compiled 10862 to 7948 computations (26.8% saved)

prune69.0ms (1.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	439	4	443
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	440	10	450

Error

Counts

450 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.5b	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))) 3)
✓	1.5b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
▶	21.4b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
✓	0.8b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	20.7b	(/.f64 1 x)
✓	20.7b	(+.f64 (/.f64 1 x) 1/2)
▶	20.9b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	20.6b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	42.6b	(+.f64 1/2 (.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/12 x) (/.f64 1 x)))))
▶	43.3b	(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

Compiler

Compiled 177 to 141 computations (20.3% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.1b	(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))
✓	0.2b	(.f64 -1/720 (.f64 x x))
	0.4b	(*.f64 1/12 x)

Compiler

Compiled 86 to 51 computations (40.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 -1/720 (.f64 x x))
0.0ms	x	@	inf	(.f64 -1/720 (.f64 x x))
0.0ms	x	@	0	(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))
0.0ms	x	@	inf	(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))
0.0ms	x	@	-inf	(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`add-sqr-sqrt`
1484×	`*-un-lft-identity`
1386×	`add-cube-cbrt`
1372×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	187	26
2	2348	26

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 -1/720 (.f64 x x))
(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/720 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/720 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/720)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/720 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/720 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/518400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/720))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/720 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/720 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/720 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/720 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/720 (*.f64 x x))))))))

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

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1918×	`distribute-rgt-in`
1874×	`distribute-lft-in`
1468×	`associate-l`
1084×	`associate-+r+`
1044×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	796
1	184	724
2	699	658
3	3110	658

Stop Event

1×	node limit

Counts

50 → 34

Calls

Call 1

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

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

localize31.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/144 (.f64 x x))
✓	0.2b	(/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x)))
	0.4b	(*.f64 1/12 x)
✓	31.0b	(.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/12 x) (/.f64 1 x))))

Compiler

Compiled 89 to 60 computations (32.6% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite104.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-/r*`
1068×	`associate-/l*`
1042×	`associate-/r/`
352×	`add-sqr-sqrt`
336×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	87
1	360	49
2	4719	49

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (*.f64 x 1/12) 2)) (*.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (neg.f64 (pow.f64 x -2))) (*.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (*.f64 x 1/12) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 x 1/12) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (*.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (*.f64 (pow.f64 (*.f64 x 1/12) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.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 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/144 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (*.f64 x x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/12) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 1/144 (*.f64 x x) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x 1/12) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/12) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/20736 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 1/12) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 1/12) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 x 1/12) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 1/12) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 1/12) 2)))))))

simplify141.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

852×	`associate-/l*`
652×	`+-commutative`
580×	`associate-/l/`
566×	`associate-r`
562×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	565	12808
1	1549	12150
2	7275	12150

Stop Event

1×	node limit

Counts

238 → 313

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 x)
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -1/144 (pow.f64 x 5))))
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (+.f64 (.f64 -1/1728 (pow.f64 x 7)) (+.f64 (.f64 -1 x) (.f64 -1/144 (pow.f64 x 5)))))
(/.f64 12 x)
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x)))
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 5))) (*.f64 12 (/.f64 1 x))))
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 20736 (/.f64 1 (pow.f64 x 7))) (.f64 12 (/.f64 1 x)))))
(/.f64 12 x)
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x)))
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 5))) (*.f64 12 (/.f64 1 x))))
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 20736 (/.f64 1 (pow.f64 x 7))) (.f64 12 (/.f64 1 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 (*.f64 x 1/12) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (.f64 x 1/12) 2)) (*.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (neg.f64 (pow.f64 x -2))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (neg.f64 (pow.f64 x -2))) (.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (*.f64 x 1/12) 2)))
(+.f64 (.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (*.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))))
(+.f64 (.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (.f64 (pow.f64 (*.f64 x 1/12) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(-.f64 (/.f64 1/144 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (*.f64 x x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 x 1/12) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 1 (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 1 (/.f64 (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))) (-.f64 (*.f64 1/20736 (pow.f64 x 4)) (pow.f64 x -4))))
(/.f64 1 (/.f64 (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (+.f64 (.f64 1/20736 (pow.f64 x 4)) (.f64 (pow.f64 x -2) (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))))) (-.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3) (pow.f64 x -6))))
(/.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (/.f64 1 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))))
(/.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 x 1/12 (/.f64 -1 x))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x 1/12) 2))) 1)
(pow.f64 (pow.f64 (*.f64 x 1/12) 2) 1)
(pow.f64 (*.f64 x 1/12) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3) 1/3)
(sqrt.f64 (*.f64 1/20736 (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/144))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 1/12) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 1/12) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x 1/12) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x 1/12) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 1/12) 2)))

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 x)
(neg.f64 x)
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 -1 x))
(fma.f64 -1/12 (pow.f64 x 3) (neg.f64 x))
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -1/144 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/144 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -1/144 (pow.f64 x 5) (neg.f64 x)))
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (+.f64 (.f64 -1/1728 (pow.f64 x 7)) (+.f64 (.f64 -1 x) (.f64 -1/144 (pow.f64 x 5)))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -1/1728 (pow.f64 x 7) (fma.f64 -1 x (*.f64 -1/144 (pow.f64 x 5)))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -1/1728 (pow.f64 x 7) (fma.f64 -1/144 (pow.f64 x 5) (neg.f64 x))))
(/.f64 12 x)
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x)))
(+.f64 (/.f64 144 (pow.f64 x 3)) (/.f64 12 x))
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 5))) (*.f64 12 (/.f64 1 x))))
(+.f64 (/.f64 144 (pow.f64 x 3)) (+.f64 (/.f64 12 x) (/.f64 1728 (pow.f64 x 5))))
(+.f64 (/.f64 12 x) (+.f64 (/.f64 144 (pow.f64 x 3)) (/.f64 1728 (pow.f64 x 5))))
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 20736 (/.f64 1 (pow.f64 x 7))) (.f64 12 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 144 (pow.f64 x 3)) (/.f64 1728 (pow.f64 x 5))) (+.f64 (/.f64 12 x) (/.f64 20736 (pow.f64 x 7))))
(+.f64 (/.f64 144 (pow.f64 x 3)) (+.f64 (/.f64 12 x) (+.f64 (/.f64 1728 (pow.f64 x 5)) (/.f64 20736 (pow.f64 x 7)))))
(/.f64 12 x)
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x)))
(+.f64 (/.f64 144 (pow.f64 x 3)) (/.f64 12 x))
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 5))) (*.f64 12 (/.f64 1 x))))
(+.f64 (/.f64 144 (pow.f64 x 3)) (+.f64 (/.f64 12 x) (/.f64 1728 (pow.f64 x 5))))
(+.f64 (/.f64 12 x) (+.f64 (/.f64 144 (pow.f64 x 3)) (/.f64 1728 (pow.f64 x 5))))
(+.f64 (.f64 144 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 20736 (/.f64 1 (pow.f64 x 7))) (.f64 12 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 144 (pow.f64 x 3)) (/.f64 1728 (pow.f64 x 5))) (+.f64 (/.f64 12 x) (/.f64 20736 (pow.f64 x 7))))
(+.f64 (/.f64 144 (pow.f64 x 3)) (+.f64 (/.f64 12 x) (+.f64 (/.f64 1728 (pow.f64 x 5)) (/.f64 20736 (pow.f64 x 7)))))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(+.f64 (*.f64 x 1/12) (/.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 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (.f64 x 1/12) 2)) (*.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (neg.f64 (pow.f64 x -2))))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (neg.f64 (pow.f64 x -2))) (.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (*.f64 x 1/12) 2)))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(+.f64 (.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (*.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(+.f64 (.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (.f64 (pow.f64 (*.f64 x 1/12) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (expm1.f64 (log1p.f64 (*.f64 x 1/12))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(fma.f64 x 1/12 (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (/.f64 1/144 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (*.f64 x x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 x 1/12) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(fma.f64 x 1/12 (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (expm1.f64 (log1p.f64 (*.f64 x 1/12))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 1 (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(/.f64 1 (/.f64 (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))) (-.f64 (*.f64 1/20736 (pow.f64 x 4)) (pow.f64 x -4))))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (/.f64 (fma.f64 1/20736 (pow.f64 x 4) (neg.f64 (pow.f64 x -4))) (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)))))
(/.f64 (-.f64 (.f64 1/20736 (pow.f64 x 4)) (pow.f64 x -4)) (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2))))
(/.f64 1 (/.f64 (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (+.f64 (.f64 1/20736 (pow.f64 x 4)) (.f64 (pow.f64 x -2) (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))))) (-.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3) (pow.f64 x -6))))
(.f64 (/.f64 1 (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 1/20736 (pow.f64 x 4) (.f64 (pow.f64 x -2) (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)))))) (-.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3) (pow.f64 x -6)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/144)) 3) (pow.f64 x -6)) (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 (pow.f64 x -2) (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)) (*.f64 1/20736 (pow.f64 x 4)))))
(/.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (/.f64 1 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (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 (fma.f64 x 1/12 (/.f64 1 x)) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x (*.f64 x 1/144)) (pow.f64 x -2))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))) 1)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (sqrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2))) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2))) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/144)) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)))) (.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (/.f64 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2))) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/144)) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) 2) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2))) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/144)) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) 2) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))) 1)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2))) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/144)) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 -1 (/.f64 (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 -1 (/.f64 (.f64 (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))) (-.f64 (*.f64 1/20736 (pow.f64 x 4)) (pow.f64 x -4))))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (/.f64 (fma.f64 1/20736 (pow.f64 x 4) (neg.f64 (pow.f64 x -4))) (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)))))
(/.f64 (-.f64 (.f64 1/20736 (pow.f64 x 4)) (pow.f64 x -4)) (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2))))
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(.f64 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (neg.f64 (fma.f64 1/20736 (pow.f64 x 4) (neg.f64 (pow.f64 x -4))))) (neg.f64 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))))
(.f64 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 x 4) -1/20736) (pow.f64 x -4))) (neg.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2))))
(.f64 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (pow.f64 x -4) (.f64 (pow.f64 x 4) -1/20736))) (neg.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2))))
(.f64 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (neg.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x 1/12) 2) 3) (pow.f64 x -6)))) (neg.f64 (+.f64 (.f64 1/20736 (pow.f64 x 4)) (.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2))))))
(.f64 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (neg.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x 1/12) 2) 3) (pow.f64 x -6)))) (neg.f64 (fma.f64 1/20736 (pow.f64 x 4) (.f64 (pow.f64 x -2) (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))))))
(/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/144)) 3) (pow.f64 x -6))) (-.f64 (.f64 (pow.f64 x 4) -1/20736) (.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2))))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)))) (neg.f64 (+.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x)))))
(.f64 (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 (+.f64 1/12 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2))) (fma.f64 (pow.f64 x 3) 1/1728 (neg.f64 (pow.f64 x -3))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x 1/12) 2) (.f64 (/.f64 -1 x) (/.f64 -1 x)))) (-.f64 (.f64 x 1/12) (/.f64 -1 x)))
(/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)))
(.f64 (/.f64 1 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 (/.f64 -1 x) 3))) (+.f64 (pow.f64 (.f64 x 1/12) 2) (-.f64 (.f64 (/.f64 -1 x) (/.f64 -1 x)) (.f64 (.f64 x 1/12) (/.f64 -1 x)))))
(.f64 (/.f64 1 (fma.f64 1/1728 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3)))) (+.f64 (pow.f64 (.f64 x 1/12) 2) (.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (.f64 x 1/12)))))
(/.f64 (fma.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 x) (.f64 x -1/12)) (.f64 x (*.f64 x 1/144))) (fma.f64 (pow.f64 x 3) 1/1728 (/.f64 -1 (pow.f64 x 3))))
(.f64 (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1/2) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))))
(.f64 (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1/2) (sqrt.f64 (-.f64 (.f64 x (*.f64 x 1/144)) (pow.f64 x -2)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1/2) (sqrt.f64 (-.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)))) (sqrt.f64 (+.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x)))))
(.f64 (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1/2) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))) (sqrt.f64 (+.f64 1/12 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)))))
(.f64 (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1/2) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1728 (neg.f64 (pow.f64 x -3))))) (sqrt.f64 (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))) (fma.f64 x 1/12 (/.f64 1 x)))
(/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2)))
(/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)))) (+.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x))))
(.f64 (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 (+.f64 1/12 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2))) (fma.f64 (pow.f64 x 3) 1/1728 (neg.f64 (pow.f64 x -3))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (/.f64 1 (.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 2) (pow.f64 x -2))) (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) (/.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2)) (cbrt.f64 (-.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)))) (cbrt.f64 (+.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2))) (cbrt.f64 (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) -2) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/1728 (neg.f64 (pow.f64 x -3))))) (cbrt.f64 (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)))))
(.f64 (/.f64 (+.f64 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x))) (-.f64 (pow.f64 (pow.f64 (.f64 x 1/12) 2) 3) (pow.f64 x -6))) (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)))
(/.f64 (.f64 (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))) (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3))) (-.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3) (pow.f64 x -6)))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))) (-.f64 (pow.f64 (.f64 x (.f64 x 1/144)) 3) (pow.f64 x -6))))
(.f64 (/.f64 (+.f64 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x))) (-.f64 (pow.f64 (.f64 1/1728 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 x -3) 3))) (+.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x 1/12) 2) 3) (pow.f64 x -6)) (.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3))))
(.f64 (/.f64 (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))) (-.f64 (.f64 1/5159780352 (pow.f64 (pow.f64 x 3) 3)) (pow.f64 (pow.f64 x -3) 3))) (+.f64 (pow.f64 (pow.f64 (.f64 x 1/12) 2) 3) (+.f64 (pow.f64 x -6) (.f64 1/1728 (.f64 (pow.f64 x 3) (pow.f64 x -3))))))
(/.f64 (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2))) (/.f64 (-.f64 (.f64 1/5159780352 (pow.f64 (pow.f64 x 3) 3)) (pow.f64 (pow.f64 x -3) 3)) (+.f64 (pow.f64 (.f64 x (.f64 x 1/144)) 3) (*.f64 (pow.f64 x -3) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))))
(pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1)
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(pow.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) 1)
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1/2) 2)
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) 3)
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/3)
(/.f64 1 (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 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) 3))
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))) -1))
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) 1))
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x 1/12) 2))) 1)
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(pow.f64 (pow.f64 (*.f64 x 1/12) 2) 1)
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(pow.f64 (*.f64 x 1/12) 2)
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 3)
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3) 1/3)
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(sqrt.f64 (*.f64 1/20736 (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/144))
(*.f64 1/144 (log.f64 (pow.f64 (exp.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 1/12) 2))))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 1/12) 2) 3))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 1/12) 2)))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(exp.f64 (log.f64 (pow.f64 (*.f64 x 1/12) 2)))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x 1/12) 2)) 1))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 1/12) 2)))
(.f64 1/144 (.f64 x x))
(.f64 x (.f64 x 1/144))

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (+.f64 (/.f64 1 x) 1/2))
✓	0.8b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)

Compiler

Compiled 27 to 22 computations (18.5% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
0.0ms	x	@	inf	(cbrt.f64 (+.f64 (/.f64 1 x) 1/2))
0.0ms	x	@	-inf	(cbrt.f64 (+.f64 (/.f64 1 x) 1/2))

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1912×	`*-un-lft-identity`
1812×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
196×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	234	30
2	2517	30

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
(cbrt.f64 (+.f64 (/.f64 1 x) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -1) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -1) -1/2)) (/.f64 1/4 (+.f64 (pow.f64 x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)) (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) (*.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 (pow.f64 x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) 1) (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6)) (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) 3) (pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2) 3) (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1) -1/2) (+.f64 (pow.f64 x -2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (+.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (pow.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 x -3)) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 1/2 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1/4)) (neg.f64 (+.f64 (pow.f64 x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1)) 1/2)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1/3) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1/4)) (cbrt.f64 (+.f64 (pow.f64 x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) 1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))))))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-+r+`
1014×	`unswap-sqr`
888×	`associate-+l+`
796×	`*-commutative`
758×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	3401
1	755	3061
2	2612	2861

Stop Event

1×	node limit

Counts

77 → 108

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (+.f64 (/.f64 (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))))))))
(+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (pow.f64 x 3)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (cbrt.f64 1/2)) (pow.f64 x 2)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (+.f64 (/.f64 (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -4/27 (pow.f64 1 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))))) (pow.f64 x 3)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (pow.f64 x 3))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3))))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))))))))))))
1/2
(+.f64 1/2 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) x)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (+.f64 (/.f64 (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) x))))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))) (.f64 4/27 (pow.f64 1 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))) (.f64 1/3 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (cbrt.f64 1/2)) (pow.f64 x 2)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) x)))))))
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))))
(+.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3)))) (+.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))))))
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))))
(+.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3)))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (pow.f64 x -1) 1/2)
(+.f64 1/2 (pow.f64 x -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -1) 1/2))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -1) -1/2)) (/.f64 1/4 (+.f64 (pow.f64 x -1) -1/2)))
(*.f64 1 (+.f64 (pow.f64 x -1) 1/2))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2))
(*.f64 (+.f64 (pow.f64 x -1) 1/2) 1)
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)) (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)))
(.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) (.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2)))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 (pow.f64 x -1) -1/2)))
(*.f64 (+.f64 1/8 (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) 1) (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6)) (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) 3) (pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2) 3) (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1) -1/2) (+.f64 (pow.f64 x -2) -1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (+.f64 1/8 (pow.f64 x -3))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (pow.f64 x -1) -1/2))
(/.f64 (+.f64 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 1/8 (pow.f64 x -3)) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 1/2 (pow.f64 x -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1/4)) (neg.f64 (+.f64 (pow.f64 x -1) -1/2)))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1) 1/2))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1) 1/2)))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) 1/2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1) 1/2)))
(fma.f64 1 (pow.f64 x -1) 1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1)
(*.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1/3) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1/3))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1/4)) (cbrt.f64 (+.f64 (pow.f64 x -1) -1/2)))
(/.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1)
(pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) 1/2)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))

Outputs
1/2
(+.f64 1/2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x)))))
(+.f64 1/2 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (/.f64 1 x)) 1))
(+.f64 1/2 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) x))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (+.f64 (/.f64 (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (/.f64 1 (.f64 x x))) (+.f64 1/2 (+.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (/.f64 1 (.f64 x x))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (/.f64 1 x)) 1)) (/.f64 (cbrt.f64 1/2) (/.f64 (.f64 x x) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9))))))
(+.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 2/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) x)) (.f64 (/.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) x) (/.f64 (cbrt.f64 1/2) x))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 1/2))
(+.f64 (/.f64 (cbrt.f64 1/2) (.f64 (/.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (/.f64 x -1/9))) (+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 2/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) x)) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 1/2)))
(+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (pow.f64 x 3)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (cbrt.f64 1/2)) (pow.f64 x 2)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (+.f64 (/.f64 (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -4/27 (pow.f64 1 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))))) (pow.f64 x 3)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (pow.f64 x 3))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3))))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))))))))))))
(+.f64 1/2 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9) (pow.f64 x 3))) (+.f64 (/.f64 (cbrt.f64 1/2) (/.f64 (.f64 x x) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9))) (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (/.f64 1 (.f64 x x))) (fma.f64 1/3 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (/.f64 1 x)) (+.f64 (/.f64 (.f64 (cbrt.f64 1/2) (+.f64 -4/27 (.f64 -2/3 (/.f64 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 1/2) 2))) (cbrt.f64 1/2))))) (pow.f64 x 3)) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (/.f64 1 (.f64 x x))) (fma.f64 -1/3 (/.f64 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 1/2) 2))) (pow.f64 x 3)) (fma.f64 -2/27 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 x 3)) (.f64 2/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (/.f64 1 x))))))))))))
(+.f64 1/2 (+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 2/9 (+.f64 (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) (fma.f64 -1/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/27) (pow.f64 x 3)) (fma.f64 2/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) x) (/.f64 -2/27 (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3)))))) (fma.f64 1/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) x) (.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 x 3)) (fma.f64 -2/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/27) (cbrt.f64 1/2)) -4/27))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (/.f64 (pow.f64 x 3) -1/9))) (.f64 (/.f64 (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) x) (/.f64 (cbrt.f64 1/2) x)))))
(+.f64 1/2 (+.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (.f64 -1/9 (pow.f64 x -2))) (+.f64 (.f64 (fma.f64 -2/3 (/.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 1/2)) -4/27) (/.f64 (cbrt.f64 1/2) (pow.f64 x 3))) (fma.f64 -1/3 (/.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 x 3)) (/.f64 (/.f64 -2/27 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 x 3))))) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 2/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) x))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (pow.f64 x 3)) -1/9)) (/.f64 (cbrt.f64 1/2) (*.f64 (/.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (/.f64 x -1/9))))))
1/2
(+.f64 1/2 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) x)))
(+.f64 1/2 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (/.f64 1 x)) 1))
(+.f64 1/2 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) x))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (+.f64 (/.f64 (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) x))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (/.f64 1 (.f64 x x))) (+.f64 1/2 (+.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (/.f64 1 (.f64 x x))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (/.f64 1 x)) 1)) (/.f64 (cbrt.f64 1/2) (/.f64 (.f64 x x) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9))))))
(+.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 2/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) x)) (.f64 (/.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) x) (/.f64 (cbrt.f64 1/2) x))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 1/2))
(+.f64 (/.f64 (cbrt.f64 1/2) (.f64 (/.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (/.f64 x -1/9))) (+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 2/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) x)) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (pow.f64 x -2)) 1/2)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1/4)) (neg.f64 (+.f64 (pow.f64 x -1) -1/2)))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) -1/2)) (/.f64 1/4 (+.f64 (/.f64 1 x) -1/2)))
(+.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) -1/2)) (/.f64 -1/4 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (/.f64 -1 x)))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(*.f64 (+.f64 1/8 (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (+.f64 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 -1/2 x))))
(/.f64 (-.f64 -1/8 (pow.f64 x -3)) (-.f64 (+.f64 -1/4 (/.f64 1/2 x)) (pow.f64 x -2)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 2))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2))
(fabs.f64 (+.f64 1/2 (/.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1) 1/2)))
(+.f64 1/2 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1) 1/2))))
(+.f64 1/2 (/.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 3))
(+.f64 1/2 (/.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1) 1/2)))
(+.f64 1/2 (/.f64 1 x))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1) 1/2)))
(+.f64 1/2 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) 1/2)) 1))
(+.f64 1/2 (/.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1) 1/2)))
(+.f64 1/2 (/.f64 1 x))
(fma.f64 1 (pow.f64 x -1) 1/2)
(+.f64 1/2 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)
(+.f64 1/2 (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1)) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))) 1)
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(*.f64 1 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1)
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1/3) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1/4)) (cbrt.f64 (+.f64 (pow.f64 x -1) -1/2)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1/4)) (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 -1/2 x)))))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 1)
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/3)
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) 1/2) 1/6) 2)
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 3)
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 2))
(fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2)))))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))) 1))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) 1/2)) 1/3))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) 1/2))))
(cbrt.f64 (+.f64 1/2 (/.f64 1 x)))

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))))
✓	0.1b	(cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	0.1b	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))) 3)
✓	3.9b	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series12.0ms (0.3%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))) 3)
3.0ms	x	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))) 3)
1.0ms	x	@	inf	(cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))) 3)

rewrite105.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`associate-*r/`
846×	`*-commutative`
714×	`unswap-sqr`
518×	`associate-*l/`
504×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	90
1	253	64
2	3023	64

Stop Event

1×	node limit

Counts

4 → 324

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (neg.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))) 3)
(cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))))

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

simplify118.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1332×	`associate-r`
1214×	`associate-/l*`
1114×	`associate-/r*`
1094×	`associate-l`
632×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	685	12046
1	1833	11224

Stop Event

1×	node limit

Counts

356 → 462

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 -1 x)))) (pow.f64 1 1/3))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 -1 x)))) (pow.f64 1 1/3))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 -1 x)))) (pow.f64 1 1/3))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 -1 x)))) (pow.f64 1 1/3))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/3)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/3)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/3)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/3)
(pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 1/3)
(pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 1/3)
(pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 1/3)
(pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 1/3)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) 1/3)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) 1/3)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) 1/3)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) 1/3)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x)))) 1/3)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x)))) 1/3)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x)))) 1/3)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x)))) 1/3)
(+.f64 1 (neg.f64 (exp.f64 x)))
(+.f64 (neg.f64 (exp.f64 x)) 1)
(+.f64 (-.f64 1 (+.f64 1 (exp.f64 x))) 1)
(*.f64 1 (-.f64 0 (expm1.f64 x)))
(*.f64 (-.f64 0 (expm1.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) 3))
(*.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (sqrt.f64 (-.f64 0 (expm1.f64 x))))
(.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (cbrt.f64 (-.f64 0 (expm1.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) (.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2)))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(.f64 (-.f64 1 (exp.f64 (.f64 x 3))) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(.f64 (.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2)) (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 3/2) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 3/2))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (-.f64 1 (exp.f64 (+.f64 x x))))
(.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (-.f64 1 (exp.f64 (.f64 x 3))))
(*.f64 (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) 3) (cbrt.f64 (-.f64 0 (expm1.f64 x))))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x)))) (-.f64 0 (expm1.f64 x)))
(.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (+.f64 1 (exp.f64 (.f64 x 3)))) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
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(.f64 (/.f64 (-.f64 1 (exp.f64 (.f64 x 3))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) 3))) (+.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) 1))))
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(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))) (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6))) (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2)) (cbrt.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2)) (cbrt.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6))))
(/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 1)
(/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))
(/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (/.f64 -1 (neg.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6))))
(/.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))
(/.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2) (cbrt.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 -1 (/.f64 -1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(/.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) -1)
(/.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (/.f64 -1 (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2))))
(/.f64 (sqrt.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2) (sqrt.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (.f64 x 3)))) (.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (*.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6)) (/.f64 -1 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2)) (/.f64 -1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) 1/3) (/.f64 1 (pow.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) 1/3)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (.f64 x 3))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(/.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6)) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))
(/.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1 (exp.f64 (.f64 x 3))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (exp.f64 (.f64 x 3)))) 1) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) 1) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) -1)) (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) -1))
(/.f64 (/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) 1) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))
(/.f64 (/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)))
(/.f64 (/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)))
(/.f64 (/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) 1) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(pow.f64 (-.f64 0 (expm1.f64 x)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 3)
(neg.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) 1)
(*.f64 1 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(*.f64 -1 (/.f64 -1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) -1)
(*.f64 (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) -1) (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) -1))
(.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (.f64 x 3))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))))
(pow.f64 (-.f64 0 (expm1.f64 x)) -1/3)
(pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 1)
(pow.f64 (/.f64 1 (-.f64 0 (expm1.f64 x))) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(cbrt.f64 (/.f64 1 (-.f64 0 (expm1.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(exp.f64 (*.f64 -1/3 (log1p.f64 (neg.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 -1 x)))) (pow.f64 1 1/3))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 -1 x)))) (pow.f64 1 1/3))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 -1 x)))) (pow.f64 1 1/3))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 -1 x)))) (pow.f64 1 1/3))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/3)
(cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/3)
(cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/3)
(cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/3)
(cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 1/3)
(cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 1/3)
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(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (exp.f64 (.f64 x 3)))) 1) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) 1) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))
(/.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) -1)) (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) -1))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) -1))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) 1) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))
(/.f64 (*.f64 1 (pow.f64 (neg.f64 (expm1.f64 x)) 1/6)) (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2))
(/.f64 (pow.f64 (neg.f64 (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2))
(/.f64 (/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)))
(/.f64 (*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) 1/6) (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2)))
(/.f64 (pow.f64 (neg.f64 (expm1.f64 x)) 1/6) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2)) (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))))))
(/.f64 (/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)))
(/.f64 (*.f64 1 (pow.f64 (neg.f64 (expm1.f64 x)) 1/6)) (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2))
(/.f64 (pow.f64 (neg.f64 (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2))
(/.f64 (/.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 (pow.f64 (neg.f64 (expm1.f64 x)) 1/6) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x)))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)))))
(/.f64 (pow.f64 (neg.f64 (expm1.f64 x)) 1/6) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) 1) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)))))
(pow.f64 (-.f64 0 (expm1.f64 x)) 1/3)
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 1)
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) 2)
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 3)
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(neg.f64 (neg.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) 2))
(fabs.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(cbrt.f64 (neg.f64 (expm1.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) 1)
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 1 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 1)
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)) (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)) (cbrt.f64 (cbrt.f64 (neg.f64 (expm1.f64 x)))))
(*.f64 -1 (/.f64 -1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) -1)
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) -1) (pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 1/6) -1))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) -1))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 2) -1))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (.f64 x 3))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))))
(/.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -1/2))))
(pow.f64 (-.f64 0 (expm1.f64 x)) -1/3)
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/6) (pow.f64 (neg.f64 (expm1.f64 x)) -1/6))
(pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1)
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))) 1)
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(pow.f64 (/.f64 1 (-.f64 0 (expm1.f64 x))) 1/3)
(cbrt.f64 (/.f64 1 (neg.f64 (expm1.f64 x))))
(cbrt.f64 (/.f64 -1 (expm1.f64 x)))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -1/2) 2)
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))))) 3)
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) -2))
(sqrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(cbrt.f64 (/.f64 1 (-.f64 0 (expm1.f64 x))))
(cbrt.f64 (/.f64 1 (neg.f64 (expm1.f64 x))))
(cbrt.f64 (/.f64 -1 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))
(exp.f64 (*.f64 -1/3 (log1p.f64 (neg.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 -1/3) (log1p.f64 (neg.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x))))))
(/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
✓	0.7b	(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
	0.7b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 24 to 6 computations (75% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
0.0ms	x	@	-inf	(expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
0.0ms	x	@	0	(expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
0.0ms	x	@	0	(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
0.0ms	x	@	-inf	(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`add-sqr-sqrt`
1546×	`*-un-lft-identity`
1434×	`add-cube-cbrt`
1414×	`add-cbrt-cube`
1398×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	174	34
2	1950	34

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

934×	`times-frac`
928×	`unswap-sqr`
924×	`associate-*r/`
744×	`associate-/l*`
612×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1650
1	362	1612
2	1544	1606
3	7923	1606

Stop Event

1×	node limit

Counts

84 → 81

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

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

eval543.0ms (11.9%)

Compiler: Compiled 26847 to 19382 computations (27.8% saved)

prune227.0ms (5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1123	2	1125
Fresh	0	0	0
Picked	1	0	1
Done	4	5	9
Total	1128	7	1135

Error

Counts

1135 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.5b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	20.7b	(/.f64 1 x)
✓	20.7b	(+.f64 (/.f64 1 x) 1/2)
✓	20.9b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	20.6b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	42.6b	(+.f64 1/2 (.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/12 x) (/.f64 1 x)))))
	62.0b	1/2

Compiler

Compiled 73 to 58 computations (20.5% saved)

localize22.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
	3.9b	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite54.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1508×	`add-cube-cbrt`
1494×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	186	17
2	2316	17

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify97.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1642×	`distribute-lft-in`
1620×	`distribute-rgt-in`
1588×	`associate-*r/`
1234×	`associate-*l/`
1204×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	757
1	220	745
2	667	735
3	3369	735

Stop Event

1×	node limit

Counts

33 → 51

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

eval57.0ms (1.2%)

Compiler: Compiled 3209 to 2088 computations (34.9% saved)

prune49.0ms (1.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	186	7	193

Error

Counts

193 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.5b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	20.7b	(/.f64 1 x)
✓	20.7b	(+.f64 (/.f64 1 x) 1/2)
✓	20.9b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	20.6b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	42.6b	(+.f64 1/2 (.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/12 x) (/.f64 1 x)))))
	62.0b	1/2

Compiler

Compiled 73 to 58 computations (20.5% saved)

regimes45.0ms (1%)

Counts

14 → 1

Calls

Call 1

Inputs
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 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/12 x) (/.f64 1 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x))))) 3)
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)

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

Calls

3 calls:

7.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
0.8b	1	`(exp.f64 x)`

Compiler

Compiled 140 to 95 computations (32.1% saved)

regimes15.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

Inputs
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 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/12 x) (/.f64 1 x)))))

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.9b	2	`x`

Compiler

Compiled 84 to 63 computations (25% saved)

bsearch17.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-0.49544568475790896	-3.29730704680051e-9

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 192 to 161 computations (16.1% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
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 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
20.6b	1	`x`

Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
20.7b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -41.3b remaining (-199.5%)

Threshold costs -41.3b (-199.5%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 x)

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
20.7b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
6×	`sub-neg`
6×	`*-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	36	116
2	41	116
3	44	116
4	45	116

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x -662929865148937/288230376151711744) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(/.f64 1 x)
1/2

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x -662929865148937/288230376151711744) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(if (<=.f64 x -662929865148937/288230376151711744) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)
1/2

Compiler

Compiled 49 to 39 computations (20.4% saved)

soundness30.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 13 to 7 computations (46.2% saved)

end76.0ms (1.7%)

Compiler: Compiled 44 to 34 computations (22.7% saved)

Details

analyze113.0ms (2.5%)

sample1.3s (28%)

preprocess4.0ms (0.1%)

simplify13.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (1.1%)

simplify51.0ms (1.1%)

eval8.0ms (0.2%)

prune10.0ms (0.2%)

localize14.0ms (0.3%)

series6.0ms (0.1%)

rewrite62.0ms (1.4%)

simplify78.0ms (1.7%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (1.3%)

simplify59.0ms (1.3%)

localize21.0ms (0.5%)

series2.0ms (0%)

rewrite87.0ms (1.9%)

simplify114.0ms (2.5%)

eval231.0ms (5%)

prune69.0ms (1.5%)

localize29.0ms (0.6%)

series1.0ms (0%)

rewrite55.0ms (1.2%)

simplify49.0ms (1.1%)

localize31.0ms (0.7%)

series5.0ms (0.1%)

rewrite104.0ms (2.3%)

simplify141.0ms (3.1%)

localize15.0ms (0.3%)

series6.0ms (0.1%)

rewrite63.0ms (1.4%)

simplify64.0ms (1.4%)

localize13.0ms (0.3%)

series12.0ms (0.3%)

rewrite105.0ms (2.3%)

simplify118.0ms (2.6%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (1.3%)

simplify75.0ms (1.6%)

eval543.0ms (11.9%)

prune227.0ms (5%)

localize22.0ms (0.5%)

series1.0ms (0%)

rewrite54.0ms (1.2%)

simplify97.0ms (2.1%)

eval57.0ms (1.2%)

prune49.0ms (1.1%)

regimes45.0ms (1%)

regimes15.0ms (0.3%)

bsearch17.0ms (0.4%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify7.0ms (0.1%)

soundness30.0ms (0.7%)

end76.0ms (1.7%)

Profiling