Details

analyze122.0ms (2.7%)

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)

sample2.0s (44.5%)

Results

1.1s	2673×	body	1024	valid
327.0ms	3884×	body	256	valid
322.0ms	286×	body	2048	valid
207.0ms	1413×	body	512	valid
1.0ms	3×	body	2048	infinite
0.0ms	3×	body	256	unsamplable

Bogosity

preprocess5.0ms (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)

simplify12.0ms (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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

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))

rewrite53.0ms (1.2%)

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))))))))

simplify52.0ms (1.2%)

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

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	6	51

Error

Counts

51 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	18.5b	(/.f64 1 x)
▶	18.4b	(+.f64 (/.f64 1 x) 1/2)
▶	18.4b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	18.7b	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	0.0b	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 94 to 74 computations (21.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`add-sqr-sqrt`
1530×	`*-un-lft-identity`
1418×	`add-cube-cbrt`
1396×	`add-cbrt-cube`
1378×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	171	26
2	1983	26

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (*.f64 (exp.f64 x) -1) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) 1) (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 (neg.f64 (exp.f64 x)) (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 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))))))))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-r`
1108×	`distribute-lft-in`
1106×	`distribute-rgt-in`
1084×	`distribute-lft-neg-out`
1034×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	980
1	277	968
2	873	968
3	5167	968

Stop Event

1×	node limit

Counts

68 → 70

Calls

Call 1

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

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)

localize12.0ms (0.3%)

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))

rewrite60.0ms (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))))))

simplify61.0ms (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
1.0ms	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)))

rewrite88.0ms (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

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))

simplify112.0ms (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))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(/.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) 1) (/.f64 1 x))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x)) -1)
(/.f64 (.f64 1 (.f64 (*.f64 x x) -1/720)) (/.f64 1 x))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 x x) -1/720)) (pow.f64 x -1/2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 x x) -1/720)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 x x) -1/720)) -1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) (-.f64 1 (fma.f64 x 1/12 (/.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 (.f64 x 1/12))) (-.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/518400) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))) (-.f64 (/.f64 (pow.f64 x -2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))) (.f64 -1/720 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (.f64 x 1/12) (/.f64 -1 x)))) (/.f64 (pow.f64 x -2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))))
(-.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))) 1)
(-.f64 (+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)) (exp.f64 (log1p.f64 (.f64 x 1/12)))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 1) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(*.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (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 1 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 (*.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)))
(.f64 (/.f64 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 x 6) 1/518400) (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))) (fma.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 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/518400) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))))
(.f64 (/.f64 (+.f64 (.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 x 6) 1/518400) (.f64 (pow.f64 x 6) 1/518400)) (.f64 (.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 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 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 (pow.f64 (.f64 (pow.f64 x 6) 1/518400) 3) (pow.f64 (.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)))) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (pow.f64 x 6) 1/518400)) (-.f64 (.f64 (.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 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 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 1 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
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(/.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)))))))
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(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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.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)))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/518400) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))) (-.f64 (/.f64 (pow.f64 x -2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))) (.f64 -1/720 (pow.f64 x 3))))
(-.f64 (/.f64 (pow.f64 (.f64 x 1/12) 2) (fma.f64 x 1/12 (/.f64 -1 x))) (+.f64 (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 1/720 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 (.f64 (.f64 x x) 1/144) (fma.f64 x 1/12 (/.f64 -1 x)))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.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 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (.f64 x 1/12) (/.f64 -1 x)))) (/.f64 (pow.f64 x -2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))))
(-.f64 (/.f64 (pow.f64 (.f64 x 1/12) 2) (fma.f64 x 1/12 (/.f64 -1 x))) (+.f64 (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 1/720 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 (.f64 (.f64 x x) 1/144) (fma.f64 x 1/12 (/.f64 -1 x)))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))) 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)))
(-.f64 (+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)) (exp.f64 (log1p.f64 (.f64 x 1/12)))) 1)
(-.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))))
(-.f64 (+.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 1) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (expm1.f64 (log1p.f64 (/.f64 1 x))))
(*.f64 1 (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)))
(*.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)))
(*.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 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 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2))
(fma.f64 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 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 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 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (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 (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 1 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 (*.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)))
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(/.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)))

eval183.0ms (4%)

Compiler: Compiled 9862 to 7615 computations (22.8% saved)

prune55.0ms (1.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	376	3	379
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	377	8	385

Error

Counts

385 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	18.5b	(/.f64 1 x)
✓	18.4b	(+.f64 (/.f64 1 x) 1/2)
▶	41.6b	(+.f64 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x))))
▶	18.7b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	18.4b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	0.0b	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
▶	0.7b	(*.f64 (/.f64 1 x) (exp.f64 x))

Compiler

Compiled 82 to 62 computations (24.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`add-sqr-sqrt`
1380×	`*-un-lft-identity`
1280×	`add-cube-cbrt`
1260×	`add-cbrt-cube`
1244×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	154	11
2	1788	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-/l/`
744×	`fma-def`
596×	`*-commutative`
534×	`distribute-lft-neg-in`
500×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	406
1	155	406
2	454	406
3	2203	400
4	5958	400

Stop Event

1×	node limit

Counts

34 → 33

Calls

Call 1

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

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

localize27.0ms (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 -1/720 (.f64 x x))
0.0ms	x	@	-inf	(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))

rewrite57.0ms (1.3%)

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))))))))

simplify51.0ms (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))

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x)))
✓	0.2b	(.f64 1/144 (.f64 x x))
	0.4b	(*.f64 1/12 x)
✓	30.3b	(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))

Compiler

Compiled 76 to 49 computations (35.5% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite107.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`associate-/r/`
964×	`associate-/l/`
344×	`add-sqr-sqrt`
324×	`add-exp-log`
324×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	347	57
2	4819	57

Stop Event

1×	node limit

Counts

3 → 209

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (*.f64 x -1/12))) (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) (*.f64 x x)))) (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (*.f64 x -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (*.f64 x -1/12))) (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) (*.f64 x x))))))) (#(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 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))) 1)))) (#(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 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)))) (#(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 (pow.f64 x -2) (*.f64 (*.f64 x x) -1/144)) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) -1/144)) (/.f64 (+.f64 (+.f64 (pow.f64 x -2) (*.f64 x (*.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x)) (-.f64 (pow.f64 x -3) (*.f64 1/1728 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) 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(cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (*.f64 x x) -1/144))))))

simplify104.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-r`
1050×	`associate-l`
754×	`distribute-lft-in`
728×	`distribute-rgt-in`
600×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	14055
1	1671	12347

Stop Event

1×	node limit

Counts

245 → 312

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(*.f64 -1/144 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(*.f64 -1/144 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (*.f64 x 1/12) (/.f64 1 x))
(+.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x)))))
(+.f64 (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x x)))) (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x))))
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(/.f64 (-.f64 (.f64 (pow.f64 x -6) (pow.f64 x -6)) (.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))) (.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))) (+.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x -4) (pow.f64 x -4)) (.f64 (.f64 1/20736 (pow.f64 x 4)) (.f64 1/20736 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (+.f64 (.f64 1/20736 (pow.f64 x 4)) (pow.f64 x -4))))
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 (.f64 x x) -1/144) 3)) (-.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 (.f64 x x) -1/144) (.f64 (.f64 x x) -1/144))) (.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 (.f64 x x) -1/144) 3)) (.f64 1 (-.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 (.f64 x x) -1/144) (.f64 (.f64 x x) -1/144))) (.f64 (pow.f64 x -2) (.f64 (*.f64 x x) -1/144)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -6) 3) (pow.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))) (+.f64 (+.f64 (.f64 (pow.f64 x -6) (pow.f64 x -6)) (.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))) (.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -4) 3) (pow.f64 (.f64 1/20736 (pow.f64 x 4)) 3)) (.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (+.f64 (.f64 (pow.f64 x -4) (pow.f64 x -4)) (+.f64 (.f64 (.f64 1/20736 (pow.f64 x 4)) (.f64 1/20736 (pow.f64 x 4))) (.f64 (pow.f64 x -4) (.f64 1/20736 (pow.f64 x 4)))))))
(pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(exp.f64 (.f64 (log.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 x x) -1/144))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(fma.f64 1 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (.f64 (.f64 x x) -1/144))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (.f64 (.f64 x x) -1/144))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(*.f64 -1/144 (pow.f64 x 2))
(.f64 x (.f64 x -1/144))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(*.f64 -1/144 (pow.f64 x 2))
(.f64 x (.f64 x -1/144))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/144 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (/.f64 -1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (.f64 x x) (/.f64 1/144 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(+.f64 (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x x)))) (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(+.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (/.f64 -1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (.f64 x x) (/.f64 1/144 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (/.f64 -1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (.f64 x x) (/.f64 1/144 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(+.f64 (fma.f64 x 1/12 (exp.f64 (log1p.f64 (/.f64 1 x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.f64 1 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1))
(-.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)))
(+.f64 (fma.f64 x 1/12 (exp.f64 (log1p.f64 (/.f64 1 x)))) -1)
(.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))))
(/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (/.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x)) (-.f64 (pow.f64 x -3) (*.f64 1/1728 (pow.f64 x 3)))))
(.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (.f64 x (.f64 x 1/144)) (/.f64 x (/.f64 x 1/12)))) (+.f64 (pow.f64 x -3) (*.f64 -1/1728 (pow.f64 x 3)))))
(.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (.f64 x (.f64 x 1/144)) (/.f64 x (/.f64 x 1/12)))) (+.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) -1/1728))))
(.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) 2)) (.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (cbrt.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)))))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)))))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))
(/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(.f64 (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (+.f64 (.f64 x 1/12) (/.f64 -1 x)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(/.f64 (/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(/.f64 (/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))) 2))
(.f64 (/.f64 1 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x))))
(.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (.f64 x (.f64 x 1/144)) (/.f64 x (/.f64 x 1/12)))) (+.f64 (pow.f64 x -3) (*.f64 -1/1728 (pow.f64 x 3)))))
(.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (.f64 x (.f64 x 1/144)) (/.f64 x (/.f64 x 1/12)))) (+.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) -1/1728))))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3)))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x)))
(.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (.f64 x (.f64 x 1/144)) (/.f64 x (/.f64 x 1/12)))) (+.f64 (pow.f64 x -3) (*.f64 -1/1728 (pow.f64 x 3)))))
(.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (.f64 x (.f64 x 1/144)) (/.f64 x (/.f64 x 1/12)))) (+.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) -1/1728))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (+.f64 (.f64 x 1/12) (/.f64 -1 x)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (+.f64 (/.f64 1 x) (.f64 x -1/12))))
(/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(/.f64 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
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(/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 1)
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(/.f64 1 (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (-.f64 (pow.f64 x -4) (*.f64 1/20736 (pow.f64 x 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 x -4) (.f64 -1/20736 (pow.f64 x 4))) 1) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x 4) -1/20736))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))) (-.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x -6) (.f64 -1/2985984 (pow.f64 (.f64 x x) 3))) 1) (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))))
(.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 x (.f64 x -1/144)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4)))))
(/.f64 (-.f64 (pow.f64 x -4) (.f64 1/20736 (pow.f64 x 4))) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))
(/.f64 (+.f64 (pow.f64 x -4) (.f64 -1/20736 (pow.f64 x 4))) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))
(/.f64 (+.f64 (pow.f64 x -4) (.f64 (pow.f64 x 4) -1/20736)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))
(/.f64 (-.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3))) (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))))
(/.f64 (+.f64 (pow.f64 x -6) (.f64 -1/2985984 (pow.f64 (.f64 x x) 3))) (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))))
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 x (.f64 x -1/144)) 3)) (+.f64 (.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -4) (.f64 1/20736 (pow.f64 x 4)))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -4) (.f64 -1/20736 (pow.f64 x 4)))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -4) (.f64 (pow.f64 x 4) -1/20736))) (+.f64 (.f64 x (*.f64 x -1/144)) (neg.f64 (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -4) (.f64 1/20736 (pow.f64 x 4)))) (.f64 1 (neg.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -4) (.f64 -1/20736 (pow.f64 x 4)))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -4) (.f64 (pow.f64 x 4) -1/20736))) (+.f64 (.f64 x (*.f64 x -1/144)) (neg.f64 (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -6) (.f64 -1/2985984 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 x (.f64 x -1/144)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))) (.f64 1 (neg.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -6) (.f64 -1/2985984 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 x (.f64 x -1/144)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4)))))
(/.f64 (-.f64 (pow.f64 x -4) (.f64 (.f64 (.f64 x x) -1/144) (.f64 (.f64 x x) -1/144))) (-.f64 (pow.f64 x -2) (.f64 (*.f64 x x) -1/144)))
(/.f64 (+.f64 (pow.f64 x -4) (.f64 -1/20736 (pow.f64 x 4))) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))
(/.f64 (+.f64 (pow.f64 x -4) (.f64 (pow.f64 x 4) -1/20736)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))
(/.f64 (-.f64 (pow.f64 x -4) (.f64 (.f64 (.f64 x x) -1/144) (.f64 (.f64 x x) -1/144))) (.f64 1 (-.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(/.f64 (+.f64 (pow.f64 x -4) (.f64 -1/20736 (pow.f64 x 4))) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))
(/.f64 (+.f64 (pow.f64 x -4) (.f64 (pow.f64 x 4) -1/20736)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))
(/.f64 (-.f64 (.f64 (pow.f64 x -6) (pow.f64 x -6)) (.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))) (.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))) (+.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))))
(/.f64 (-.f64 (pow.f64 x -12) (.f64 1/8916100448256 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)))) (.f64 (+.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3))) (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144)))))))
(/.f64 (+.f64 (pow.f64 x -12) (.f64 -1/8916100448256 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))))) (.f64 (+.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x -4) (pow.f64 x -4)) (.f64 (.f64 1/20736 (pow.f64 x 4)) (.f64 1/20736 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (+.f64 (.f64 1/20736 (pow.f64 x 4)) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 x -8) (.f64 1/429981696 (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4))))
(/.f64 (+.f64 (pow.f64 x -8) (.f64 -1/429981696 (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4))))
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 (.f64 x x) -1/144) 3)) (-.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 (.f64 x x) -1/144) (.f64 (.f64 x x) -1/144))) (.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(/.f64 (+.f64 (pow.f64 x -6) (.f64 -1/2985984 (pow.f64 (.f64 x x) 3))) (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))))
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 x (.f64 x -1/144)) 3)) (+.f64 (.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4))))
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 (.f64 x x) -1/144) 3)) (.f64 1 (-.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 (.f64 x x) -1/144) (.f64 (.f64 x x) -1/144))) (.f64 (pow.f64 x -2) (.f64 (*.f64 x x) -1/144)))))
(/.f64 (+.f64 (pow.f64 x -6) (.f64 -1/2985984 (pow.f64 (.f64 x x) 3))) (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))))))
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (.f64 x (.f64 x -1/144)) 3)) (+.f64 (.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -6) 3) (pow.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))) (+.f64 (+.f64 (.f64 (pow.f64 x -6) (pow.f64 x -6)) (.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))) (.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x -6) 3) (.f64 1/26623333280885243904 (pow.f64 (pow.f64 (.f64 x x) 3) 3))) (+.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144)))))) (+.f64 (pow.f64 x -12) (+.f64 (.f64 1/8916100448256 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3))) (.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x -6) 3) (.f64 -1/26623333280885243904 (pow.f64 (pow.f64 (.f64 x x) 3) 3))) (+.f64 (.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4)))) (+.f64 (pow.f64 x -12) (.f64 (pow.f64 (.f64 x x) 3) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8916100448256) (.f64 (pow.f64 x -6) 1/2985984)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -4) 3) (pow.f64 (.f64 1/20736 (pow.f64 x 4)) 3)) (.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (+.f64 (.f64 (pow.f64 x -4) (pow.f64 x -4)) (+.f64 (.f64 (.f64 1/20736 (pow.f64 x 4)) (.f64 1/20736 (pow.f64 x 4))) (.f64 (pow.f64 x -4) (.f64 1/20736 (pow.f64 x 4)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x -4) 3) (.f64 1/8916100448256 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144)))) (+.f64 (pow.f64 x -8) (.f64 (*.f64 1/20736 (pow.f64 x 4)) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x -4) 3) (.f64 -1/8916100448256 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144)))) (+.f64 (pow.f64 x -8) (.f64 1/20736 (*.f64 (pow.f64 x 4) (fma.f64 1/20736 (pow.f64 x 4) (pow.f64 x -4))))))
(pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 1)
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) 2)
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) 3)
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 3) 1/3)
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))))
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 3))
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 x x) -1/144))) 1))
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(fma.f64 1 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))
(fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (.f64 (.f64 x x) -1/144))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 x (*.f64 x -1/144)))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (.f64 (.f64 x x) -1/144))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (.f64 x (.f64 x -1/144)))

eval234.0ms (5.2%)

Compiler: Compiled 13918 to 9854 computations (29.2% saved)

prune80.0ms (1.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	454	2	456
Fresh	0	0	0
Picked	1	0	1
Done	1	6	7
Total	456	8	464

Error

Counts

464 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	0.7b	(/.f64 (exp.f64 x) x)
✓	18.5b	(/.f64 1 x)
✓	18.4b	(+.f64 (/.f64 1 x) 1/2)
▶	41.2b	(+.f64 1/2 (/.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 1 x) (.f64 1/12 x))))
✓	18.7b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	18.4b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	0.0b	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 76 to 57 computations (25% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (*.f64 1/12 x))
✓	0.2b	(/.f64 1 (*.f64 x x))
	0.4b	(*.f64 1/12 x)
✓	21.4b	(/.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 1 x) (.f64 1/12 x)))

Compiler

Compiled 54 to 34 computations (37% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite96.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`associate-/l*`
1102×	`*-commutative`
750×	`associate-/r/`
748×	`associate-/l/`
548×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	248	57
2	3457	57

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

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

Outputs

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

simplify98.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-def`
920×	`associate-r`
806×	`associate-l`
678×	`associate-/l*`
630×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	548	11490
1	1548	9516

Stop Event

1×	node limit

Counts

262 → 337

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (.f64 1/144 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))
(+.f64 (.f64 1/144 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (+.f64 (*.f64 1/1728 (pow.f64 x 5)) (/.f64 1 x))))
(/.f64 -12 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 144 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 144 (/.f64 1 (pow.f64 x 5))) (*.f64 12 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 20736 (/.f64 1 (pow.f64 x 9))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 144 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -12 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 144 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 144 (/.f64 1 (pow.f64 x 5))) (*.f64 12 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 20736 (/.f64 1 (pow.f64 x 9))) (+.f64 (.f64 1728 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 144 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(*.f64 -1/12 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(*.f64 -1/12 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (.f64 (/.f64 (pow.f64 x -2) (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))) (/.f64 1 x)) (.f64 (/.f64 (pow.f64 x -2) (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))) (*.f64 x 1/12)))
(+.f64 (.f64 (/.f64 (pow.f64 x -2) (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))) (.f64 x 1/12)) (.f64 (/.f64 (pow.f64 x -2) (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 x 1/12) 2))) (/.f64 1 x)))
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(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (.f64 x 1/12)) (fma.f64 -1/12 x (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (.f64 x 1/12)) (fma.f64 -1/12 x (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)) (fma.f64 (neg.f64 x) 1/12 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 -1/12 x (.f64 x 1/12)) (fma.f64 (neg.f64 x) 1/12 (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 x) 1/12 (.f64 x 1/12)) (fma.f64 (neg.f64 x) 1/12 (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (.f64 x 1/12)) (fma.f64 (neg.f64 x) 1/12 (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (.f64 x 1/12)) (fma.f64 (neg.f64 x) 1/12 (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 -1/12 x (.f64 x 1/12)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 x) 1/12 (.f64 x 1/12)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (.f64 x 1/12)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (.f64 x 1/12)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 -1/12 x (.f64 x 1/12)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 x) 1/12 (.f64 x 1/12)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (.f64 x 1/12)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (.f64 x 1/12)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 1 (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 1 (fma.f64 -1/12 x (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 1 (fma.f64 (neg.f64 x) 1/12 (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)) 1))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 (fma.f64 -1/12 x (*.f64 x 1/12)) 1))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 (fma.f64 (neg.f64 x) 1/12 (*.f64 x 1/12)) 1))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (*.f64 x 1/12)) 1))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 x 1/12)) 1))
(+.f64 (*.f64 x -1/12) (/.f64 1 x))
(+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) (fma.f64 (.f64 x -1/12) 1 (*.f64 x 1/12))))
(+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x (.f64 x 1/12))))
(+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 x) 1/12 (.f64 x 1/12))))
(+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (.f64 x 1/12))))
(+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (.f64 x 1/12))))
(+.f64 (fma.f64 (.f64 x -1/12) 1 (.f64 x 1/12)) (+.f64 (/.f64 1 x) (*.f64 x -1/12)))
(+.f64 (fma.f64 -1/12 x (.f64 x 1/12)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(+.f64 (fma.f64 (neg.f64 x) 1/12 (.f64 x 1/12)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/12))) (sqrt.f64 (.f64 x 1/12)) (.f64 x 1/12)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 1/12))) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (.f64 x 1/12)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(+.f64 (-.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)
(.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) 1)
(.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2)) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/12))))
(.f64 (-.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x 1/12))) (+.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 x 1/12) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2)))) (-.f64 (pow.f64 x -3) (pow.f64 (*.f64 x 1/12) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2)) (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2)) (+.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 x (/.f64 x 1/12)))))
(.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (-.f64 (pow.f64 (pow.f64 x -2) 2) (.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 x (/.f64 x 1/12))) (+.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 x (/.f64 x 1/12)))))) (-.f64 (pow.f64 x -2) (+.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 x (/.f64 x 1/12)))))
(.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 x (/.f64 x 1/12))) 3))) (+.f64 (pow.f64 (pow.f64 x -2) 2) (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 x (/.f64 x 1/12))) (+.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 x (/.f64 x 1/12)))) (.f64 (pow.f64 x -2) (+.f64 (pow.f64 (.f64 x 1/12) 2) (/.f64 x (/.f64 x 1/12)))))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 1)
(/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2)) (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2)) (/.f64 1 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/12)))))
(/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2))) (/.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2))) (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))) (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 x 1/12) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))) (/.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (*.f64 x 1/12) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2)))) (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 x 1/12) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3)))) (/.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (*.f64 x 1/12) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))) (neg.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))) (.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))) (.f64 1 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2))))))
(/.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (/.f64 1 (-.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x 1/12)))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x -1/12) (.f64 x -1/12))) (-.f64 (/.f64 1 x) (.f64 x -1/12)))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (.f64 x -1/12) (.f64 x -1/12))) (.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 2) (.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 (.f64 x 1/12) 2))) (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (.f64 (pow.f64 (.f64 x 1/12) 3) (pow.f64 (.f64 x 1/12) 3))) (.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2))) (+.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (.f64 x -1/12) 3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (.f64 x -1/12) (.f64 x -1/12)) (.f64 (/.f64 1 x) (.f64 x -1/12)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (.f64 x -1/12) 3)) (.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (.f64 (.f64 x -1/12) (.f64 x -1/12)) (.f64 (/.f64 1 x) (*.f64 x -1/12))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (.f64 x 1/12) 2) 3)) (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (pow.f64 (pow.f64 x -2) 2) (+.f64 (.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 (.f64 x 1/12) 2)) (.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (.f64 x 1/12) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (/.f64 x (/.f64 x 1/12)) (pow.f64 x -2))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (+.f64 (.f64 (pow.f64 (.f64 x 1/12) 3) (pow.f64 (.f64 x 1/12) 3)) (.f64 (pow.f64 x -3) (pow.f64 (.f64 x 1/12) 3))))))
(pow.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(fma.f64 1 (/.f64 1 x) (*.f64 x -1/12))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x -1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x -1/12))

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`add-sqr-sqrt`
1228×	`*-un-lft-identity`
1140×	`add-cube-cbrt`
1124×	`add-cbrt-cube`
1112×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	120	11
2	1525	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-r`
1270×	`associate-l`
976×	`distribute-lft-in`
972×	`distribute-rgt-in`
648×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	822
1	223	648
2	839	486
3	4905	486

Stop Event

1×	node limit

Counts

34 → 49

Calls

Call 1

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

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

eval211.0ms (4.7%)

Compiler: Compiled 9861 to 7241 computations (26.6% saved)

prune71.0ms (1.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	399	1	400
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	400	8	408

Error

Counts

408 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	0.7b	(/.f64 (exp.f64 x) x)
✓	18.5b	(/.f64 1 x)
✓	18.4b	(+.f64 (/.f64 1 x) 1/2)
	18.3b	(+.f64 1/2 (/.f64 -1 (.f64 (+.f64 1 (.f64 x (*.f64 x -1/12))) (neg.f64 x))))
✓	18.7b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	18.4b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	0.0b	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 75 to 57 computations (24% saved)

regimes16.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 143 to 95 computations (33.6% saved)

regimes11.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 118 to 82 computations (30.5% saved)

regimes9.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 113 to 80 computations (29.2% saved)

regimes7.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
18.3b	1	`x`

Compiler

Compiled 69 to 50 computations (27.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.6b remaining (-3.5%)

Threshold costs -0.6b (-3.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
18.4b	1	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
16×	`+-commutative`
10×	`distribute-lft-neg-in`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	108
1	36	108
2	43	108
3	53	104
4	64	104
5	75	104
6	78	104
7	79	104

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 43 to 32 computations (25.6% saved)

soundness11.0ms (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

Compiler

Compiled 13 to 7 computations (46.2% saved)

end35.0ms (0.8%)

Compiler: Compiled 38 to 24 computations (36.8% saved)

Details

analyze122.0ms (2.7%)

sample2.0s (44.5%)

preprocess5.0ms (0.1%)

simplify12.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (1.2%)

simplify52.0ms (1.2%)

eval8.0ms (0.2%)

prune10.0ms (0.2%)

localize7.0ms (0.2%)

series2.0ms (0%)

rewrite59.0ms (1.3%)

simplify65.0ms (1.4%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize12.0ms (0.3%)

series1.0ms (0%)

rewrite60.0ms (1.3%)

simplify61.0ms (1.3%)

localize21.0ms (0.5%)

series2.0ms (0%)

rewrite88.0ms (1.9%)

simplify112.0ms (2.5%)

eval183.0ms (4%)

prune55.0ms (1.2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (1.1%)

simplify59.0ms (1.3%)

localize27.0ms (0.6%)

series1.0ms (0%)

rewrite57.0ms (1.3%)

simplify51.0ms (1.1%)

localize26.0ms (0.6%)

series4.0ms (0.1%)

rewrite107.0ms (2.4%)

simplify104.0ms (2.3%)

eval234.0ms (5.2%)

prune80.0ms (1.8%)

localize18.0ms (0.4%)

series1.0ms (0%)

rewrite96.0ms (2.1%)

simplify98.0ms (2.2%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite49.0ms (1.1%)

simplify52.0ms (1.1%)

eval211.0ms (4.7%)

prune71.0ms (1.6%)

regimes16.0ms (0.3%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

simplify8.0ms (0.2%)

soundness11.0ms (0.3%)

end35.0ms (0.8%)

Profiling