Details

analyze114.0ms (4.9%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.3s (54.4%)

Results

631.0ms	2695×	body	1024	valid
310.0ms	3855×	body	256	valid
212.0ms	1408×	body	512	valid
89.0ms	298×	body	2048	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess14.0ms (0.6%)

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)

simplify11.0ms (0.5%)

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

0.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (2.2%)

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))))))))

simplify54.0ms (2.3%)

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))

eval9.0ms (0.4%)

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

prune7.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Error

0.2b

Counts

51 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	21.2b	(/.f64 1 x)
▶	21.2b	(+.f64 (/.f64 1 x) 1/2)
▶	21.1b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	21.4b	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize21.0ms (0.9%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 56 to 43 computations (23.2% saved)

series3.0ms (0.1%)

Counts

3 → 9

Calls

9 calls:

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

rewrite75.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`*-commutative`
832×	`associate-*r/`
784×	`unswap-sqr`
610×	`swap-sqr`
486×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	261	35
2	3046	35

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs
(*.f64 -1/720 (pow.f64 x 3))
(*.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 -1/720 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/720 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -1/720 (.f64 x x)) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -1/720 (.f64 x x)) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -1/720 (.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 -1/720 (.f64 x x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 x) (.f64 -1/720 (.f64 x x))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 -1/720 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) (.f64 -1/720 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/720 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 -1/720)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -1/720 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 1/518400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (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 log1p.f64 (expm1.f64 (.f64 -1/720 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/12 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/12 (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -1/12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 1/1728) 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 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 1/1728))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 1/12)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 1/12))) (-.f64 1 (/.f64 1 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 (/.f64 1/144 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (.f64 x x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x 1/12) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (.f64 x 1/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))) (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x 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(.f64 -1/12 (/.f64 x x))) (.f64 1/144 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))) (.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 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Outputs

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

simplify78.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1038×	`unswap-sqr`
1000×	`associate-/l/`
926×	`associate-/r/`
416×	`+-commutative`
398×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	5351
1	899	4835
2	3803	4827

Stop Event

1×	node limit

Counts

129 → 193

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 -1/720 (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 -1/720 (*.f64 x x))) (/.f64 1 x))
(/.f64 (.f64 (sqrt.f64 x) (.f64 -1/720 (*.f64 x x))) (pow.f64 x -1/2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 -1/720 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 (neg.f64 x) (.f64 -1/720 (*.f64 x x))) -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 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3) 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 (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))))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(/.f64 1/12 (/.f64 1 x))
(/.f64 (*.f64 x 1/12) 1)
(/.f64 (*.f64 1/12 (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (*.f64 x -1/12) -1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 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 x 1/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(-.f64 (/.f64 1/144 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (*.f64 x x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 x 1/12) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)
(*.f64 1 (fma.f64 x 1/12 (/.f64 1 x)))
(*.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))) (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))
(.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 1 x)))
(.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (+.f64 (.f64 1/144 (.f64 x x)) (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) x)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (.f64 (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x))) (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x)))))) (+.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (.f64 x (/.f64 1/12 x))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (pow.f64 (.f64 1/144 (.f64 x x)) 3) (pow.f64 (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x))) 3))) (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (.f64 (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x))) (-.f64 (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x))) (.f64 1/144 (.f64 x x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))) (*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 1 (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (.f64 (*.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2))) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (sqrt.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)))) (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (cbrt.f64 (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2985984) (.f64 (pow.f64 x -3) (pow.f64 x -3))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))) (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/144 (.f64 x x))) (+.f64 (/.f64 1 x) (*.f64 x -1/12)))
(/.f64 (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (/.f64 (pow.f64 x -3) x)) (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (+.f64 (pow.f64 x -2) (.f64 1/144 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/1728) 3) (pow.f64 (pow.f64 x -3) 3)) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))) (+.f64 (.f64 (pow.f64 x 6) 1/2985984) (.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 1/1728))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/144 (.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 x -2) (.f64 -1/144 (.f64 x x))) 1) (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2))) 1) (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) 1) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (/.f64 (pow.f64 x -3) x)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (+.f64 (pow.f64 x -2) (.f64 1/144 (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/144 (.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2985984) (.f64 (pow.f64 x -3) (pow.f64 x -3))) (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))) (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/1728) 3) (pow.f64 (pow.f64 x -3) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))) (+.f64 (.f64 (pow.f64 x 6) 1/2985984) (.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 1/1728)))))
(/.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) 1) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (+.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 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (.f64 (*.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x)))))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 1 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (/.f64 1 x))

Outputs
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (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 -1/720 (.f64 x x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (.f64 -1/720 (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (.f64 x (*.f64 x -1/720)))
(/.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 (.f64 x x) (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(.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 -1/720 (*.f64 x x))) (/.f64 1 x))
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 (sqrt.f64 x) (.f64 -1/720 (*.f64 x x))) (pow.f64 x -1/2))
(/.f64 (.f64 -1/720 (.f64 x x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (.f64 -1/720 (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (.f64 x (*.f64 x -1/720)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 -1/720 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 (.f64 -1/720 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(.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 -1/720 (*.f64 x x))) -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 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/720 (pow.f64 x 3))
(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 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3))
(*.f64 -1/720 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(*.f64 x 1/12)
(/.f64 1/12 (/.f64 1 x))
(*.f64 x 1/12)
(/.f64 (*.f64 x 1/12) 1)
(*.f64 x 1/12)
(/.f64 (*.f64 1/12 (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 1/12 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(*.f64 (/.f64 1/12 (pow.f64 x -1/2)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)) 1/12)
(/.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 (.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (.f64 1/12 (pow.f64 (cbrt.f64 x) 2)))
(.f64 1/12 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (*.f64 x -1/12) -1)
(*.f64 x 1/12)
(pow.f64 (*.f64 x 1/12) 1)
(*.f64 x 1/12)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(sqrt.f64 (.f64 1/144 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) 1/144))
(sqrt.f64 (.f64 x (.f64 x 1/144)))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (*.f64 x 1/12))
(fma.f64 x 1/12 (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (/.f64 1/144 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (*.f64 x x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (.f64 (/.f64 1/144 (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 x x)) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 x 1/12) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (*.f64 x 1/12))
(fma.f64 x 1/12 (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 1 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (.f64 (/.f64 1/144 (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 x x)) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)))
(.f64 (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2)))
(-.f64 (.f64 (/.f64 1/144 (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 x x)) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))) (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)))
(.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (+.f64 (.f64 1/144 (.f64 x x)) (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) x)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)) (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (fma.f64 1/144 (*.f64 x x) (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) x)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 (.f64 x x) 1/144 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) x))) (fma.f64 (pow.f64 x 3) 1/1728 (neg.f64 (pow.f64 x -3))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (fma.f64 (*.f64 x x) 1/144 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) x)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (.f64 (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x))) (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x)))))) (+.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (.f64 x (/.f64 1/12 x))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)) (.f64 x (/.f64 1/12 x)))) (-.f64 (.f64 x (.f64 (pow.f64 x 3) 1/20736)) (*.f64 (+.f64 (pow.f64 x -2) -1/12) (+.f64 (pow.f64 x -2) -1/12))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (.f64 (pow.f64 x 4) 1/20736) (.f64 (+.f64 (pow.f64 x -2) -1/12) (+.f64 (pow.f64 x -2) -1/12)))) (-.f64 (+.f64 1/12 (.f64 x (*.f64 x 1/144))) (pow.f64 x -2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 (fma.f64 (pow.f64 x 4) 1/20736 (.f64 (+.f64 (pow.f64 x -2) -1/12) (-.f64 1/12 (pow.f64 x -2)))) (fma.f64 (.f64 x x) 1/144 (-.f64 1/12 (pow.f64 x -2)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (pow.f64 (.f64 1/144 (.f64 x x)) 3) (pow.f64 (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x))) 3))) (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (.f64 (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x))) (-.f64 (+.f64 (pow.f64 x -2) (.f64 -1/12 (/.f64 x x))) (.f64 1/144 (.f64 x x))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) (pow.f64 (+.f64 (pow.f64 x -2) -1/12) 3))) (fma.f64 (.f64 x (pow.f64 x 3)) 1/20736 (.f64 (+.f64 (pow.f64 x -2) -1/12) (+.f64 (pow.f64 x -2) (-.f64 -1/12 (.f64 (*.f64 x x) 1/144))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 1/2985984 (pow.f64 x 6) (pow.f64 (+.f64 (pow.f64 x -2) -1/12) 3))) (fma.f64 (pow.f64 x 4) 1/20736 (.f64 (+.f64 (pow.f64 x -2) -1/12) (+.f64 -1/12 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 (+.f64 (pow.f64 x -2) -1/12) (+.f64 -1/12 (fma.f64 (.f64 x x) -1/144 (pow.f64 x -2))) (*.f64 (pow.f64 x 4) 1/20736))) (fma.f64 1/2985984 (pow.f64 x 6) (pow.f64 (+.f64 (pow.f64 x -2) -1/12) 3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))))
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(/.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x)))))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (sqrt.f64 (fma.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2))) (/.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/144)) (pow.f64 x -2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (/.f64 (pow.f64 x -3) x)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (+.f64 (pow.f64 x -2) (.f64 1/144 (*.f64 x x))))
(/.f64 (-.f64 (.f64 x (.f64 (pow.f64 x 3) 1/20736)) (/.f64 (pow.f64 x -3) x)) (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (+.f64 (.f64 (*.f64 x x) 1/144) (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/20736) (/.f64 (pow.f64 x -3) x)) (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 (*.f64 x x) 1/144 (pow.f64 x -2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/144 (.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))) (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/20736) (.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))))))
(/.f64 (/.f64 (-.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 x -2) 3)) (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (.f64 x (pow.f64 x 3)) 1/20736 (.f64 (pow.f64 x -2) (+.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2985984) (pow.f64 (pow.f64 x -2) 3)) (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 (pow.f64 x -2) (fma.f64 (.f64 x x) 1/144 (pow.f64 x -2)) (.f64 (pow.f64 x 4) 1/20736))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2985984) (.f64 (pow.f64 x -3) (pow.f64 x -3))) (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))) (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2985984) (pow.f64 x -6)) (.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))))) (-.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2985984) (pow.f64 x -6)) (.f64 (fma.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)) (fma.f64 (pow.f64 x 3) 1/1728 (neg.f64 (pow.f64 x -3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2985984) (pow.f64 x -6)) (.f64 (fma.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)) (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/1728) 3) (pow.f64 (pow.f64 x -3) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))) (+.f64 (.f64 (pow.f64 x 6) 1/2985984) (.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 1/1728)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/5159780352) (pow.f64 (pow.f64 x -3) 3)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x)))))) (fma.f64 (pow.f64 x 6) 1/2985984 (.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 1/1728)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5159780352 (pow.f64 (pow.f64 x -3) 3)) (.f64 (fma.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)) (fma.f64 (pow.f64 x 6) 1/2985984 (+.f64 (pow.f64 x -6) (.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) -1/1728))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5159780352 (pow.f64 (pow.f64 x -3) 3)) (.f64 (fma.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)) (fma.f64 (pow.f64 x -3) (+.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) -1/1728)) (.f64 (pow.f64 x 6) 1/2985984))))
(/.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) 1) (fma.f64 x 1/12 (/.f64 -1 x)))
(-.f64 (.f64 (/.f64 1/144 (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 x x)) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (.f64 (/.f64 1/144 (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 x x)) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (.f64 (/.f64 1/144 (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 x x)) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (+.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 (.f64 (.f64 x x) 1/144) (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 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (-.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 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (+.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 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (.f64 (*.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 x (*.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -2)))
(pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 3)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/3)
(fma.f64 x 1/12 (/.f64 1 x))
(neg.f64 (/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (/.f64 1 x) (*.f64 x -1/12)))
(/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 x 1/12) (fma.f64 x 1/12 (/.f64 -1 x)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x)))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 x (.f64 1/12 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 x -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 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 x 1/12 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))
(fma.f64 x 1/12 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (*.f64 x 1/12) (/.f64 1 x))
(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 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
	0.3b	(*.f64 1/12 x)

Compiler

Compiled 27 to 20 computations (25.9% saved)

localize5.0ms (0.2%)

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

localize3.0ms (0.1%)

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

eval189.0ms (8.2%)

Compiler: Compiled 10076 to 7651 computations (24.1% saved)

prune54.0ms (2.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

0.2b

Counts

363 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	21.2b	(/.f64 1 x)
✓	21.2b	(+.f64 (/.f64 1 x) 1/2)
▶	21.4b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	21.1b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 47 to 36 computations (23.4% saved)

localize28.0ms (1.2%)

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))
✓	0.1b	(.f64 -1/720 (.f64 x x))
	0.3b	(*.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))

rewrite54.0ms (2.3%)

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))))))))

simplify50.0ms (2.2%)

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))

eval117.0ms (5.1%)

Compiler: Compiled 6777 to 4745 computations (30% saved)

prune30.0ms (1.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	199	5	204

Error

0.2b

Counts

204 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	21.2b	(/.f64 1 x)
✓	21.2b	(+.f64 (/.f64 1 x) 1/2)
✓	21.4b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	21.1b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 47 to 36 computations (23.4% saved)

regimes11.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 78 to 55 computations (29.5% saved)

regimes6.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.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))))

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
21.1b	1	`x`

Compiler

Compiled 55 to 42 computations (23.6% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.5b remaining (-2.2%)

Threshold costs -0.5b (-2.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
21.2b	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	21	60

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness12.0ms (0.5%)

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)

end29.0ms (1.3%)

Compiler: Compiled 23 to 17 computations (26.1% saved)

Details

analyze114.0ms (4.9%)

sample1.3s (54.4%)

preprocess14.0ms (0.6%)

simplify11.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0.1%)

rewrite50.0ms (2.2%)

simplify54.0ms (2.3%)

eval9.0ms (0.4%)

prune7.0ms (0.3%)

localize21.0ms (0.9%)

series3.0ms (0.1%)

rewrite75.0ms (3.3%)

simplify78.0ms (3.4%)

localize11.0ms (0.5%)

localize5.0ms (0.2%)

localize3.0ms (0.1%)

eval189.0ms (8.2%)

prune54.0ms (2.3%)

localize28.0ms (1.2%)

series1.0ms (0%)

rewrite54.0ms (2.3%)

simplify50.0ms (2.2%)

eval117.0ms (5.1%)

prune30.0ms (1.3%)

regimes11.0ms (0.5%)

regimes6.0ms (0.2%)

regimes6.0ms (0.3%)

simplify5.0ms (0.2%)

soundness12.0ms (0.5%)

end29.0ms (1.3%)

Profiling