Details

analyze108.0ms (3.7%)

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)

sample1.8s (62.4%)

Results

916.0ms	2755×	body	1024	valid
453.0ms	1348×	body	512	valid
327.0ms	3870×	body	256	valid
83.0ms	283×	body	2048	valid
29.0ms	2×	body	2048	infinite
0.0ms	5×	body	256	unsamplable

Bogosity

preprocess5.0ms (0.2%)

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 (0.4%)

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))

eval2.0ms (0.1%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

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))

rewrite56.0ms (1.9%)

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))))))))

simplify80.0ms (2.7%)

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 (0.3%)

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

prune6.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Error

0.4b

Counts

51 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	18.1b	(/.f64 1 x)
▶	18.0b	(+.f64 (/.f64 1 x) 1/2)
▶	18.0b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0.1%)

Counts

2 → 9

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite58.0ms (2%)

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))))))

Outputs

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

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

simplify59.0ms (2%)

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)))

localize5.0ms (0.2%)

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

localize2.0ms (0.1%)

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

eval21.0ms (0.7%)

Compiler: Compiled 919 to 700 computations (23.8% saved)

prune9.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	62	5	67

Error

0.4b

Counts

67 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	18.1b	(/.f64 1 x)
✓	18.0b	(+.f64 (/.f64 1 x) 1/2)
▶	41.4b	(+.f64 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x))))
✓	18.0b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 46 to 35 computations (23.9% saved)

localize27.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (*.f64 1/12 x))
✓	0.2b	(.f64 1/144 (.f64 x x))
	0.3b	(*.f64 1/12 x)
✓	29.4b	(/.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)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite110.0ms (3.8%)

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	81
1	347	51
2	4819	51

Stop Event

1×	node limit

Counts

3 → 216

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

Outputs

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

simplify114.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1668×	`associate-r`
1250×	`associate-l`
918×	`distribute-lft-in`
858×	`associate-/r*`
728×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	571	14006
1	1853	13814

Stop Event

1×	node limit

Counts

252 → 355

Calls

Call 1

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

eval269.0ms (9.2%)

Compiler: Compiled 13280 to 9500 computations (28.5% saved)

prune71.0ms (2.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	369	0	369
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	369	5	374

Error

0.4b

Counts

374 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	18.1b	(/.f64 1 x)
✓	18.0b	(+.f64 (/.f64 1 x) 1/2)
✓	41.4b	(+.f64 1/2 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x))))
✓	18.0b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes16.0ms (0.6%)

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

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

Calls

3 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms	x
2.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes5.0ms (0.2%)

Accuracy

Total -24.0b remaining (-133.4%)

Threshold costs -24.0b (-133.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
18.0b	1	`x`

Compiler

Compiled 39 to 29 computations (25.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	14	35

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 16 to 12 computations (25% saved)

soundness13.0ms (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)

end19.0ms (0.6%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

Details

analyze108.0ms (3.7%)

sample1.8s (62.4%)

preprocess5.0ms (0.2%)

simplify11.0ms (0.4%)

eval2.0ms (0.1%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite56.0ms (1.9%)

simplify80.0ms (2.7%)

eval8.0ms (0.3%)

prune6.0ms (0.2%)

localize12.0ms (0.4%)

series2.0ms (0.1%)

rewrite58.0ms (2%)

simplify59.0ms (2%)

localize5.0ms (0.2%)

localize2.0ms (0.1%)

eval21.0ms (0.7%)

prune9.0ms (0.3%)

localize27.0ms (0.9%)

series3.0ms (0.1%)

rewrite110.0ms (3.8%)

simplify114.0ms (3.9%)

eval269.0ms (9.2%)

prune71.0ms (2.4%)

regimes16.0ms (0.6%)

regimes5.0ms (0.2%)

simplify4.0ms (0.1%)

soundness13.0ms (0.5%)

end19.0ms (0.6%)

Profiling