Details

analyze3.0ms (0.1%)

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
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample803.0ms (27.2%)

Results

792.0ms	8256×	body	256	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess14.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

4×	`fma-def`
4×	`sub-neg`
4×	`+-commutative`
2×	`associate-/l*`
2×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	15
2	24	15
3	27	15
4	29	15
5	30	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (fma.f64 x x -3) 6)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def`
4×	`sub-neg`
4×	`+-commutative`
2×	`associate-/l*`
2×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	15
2	24	15
3	27	15
4	29	15
5	30	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (fma.f64 x x -3) 6)

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1%	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1%	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	0	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	-inf	(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite57.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`add-sqr-sqrt`
1806×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	187	15
2	2309	15

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 x x) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x x -3)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -3) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x -3)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -3) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

simplify47.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1548×	`associate-r`
1260×	`associate-l`
962×	`associate-+r+`
828×	`associate-+l+`
482×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	645
1	155	645
2	547	639
3	4163	639

Stop Event

1×	node limit

Counts

39 → 34

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(*.f64 (fma.f64 x x -3) 1/6)
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(fabs.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))

eval46.0ms (1.6%)

Compiler: Compiled 306 to 227 computations (25.8% saved)

prune10.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	8	35

Error

Counts

35 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.12%	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
▶	68.63%	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
▶	1.76%	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
✓	0.1%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	68.53%	(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
▶	67.39%	(.f64 1/6 (.f64 x x))
▶	82.22%	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
	31.75%	-1/2

Compiler

Compiled 128 to 98 computations (23.4% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.07%	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
✓	0.1%	(/.f64 6 (fma.f64 x x -3))

Compiler

Compiled 23 to 16 computations (30.4% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
1.0ms	x	@	0	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
0.0ms	x	@	inf	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
0.0ms	x	@	inf	(/.f64 6 (fma.f64 x x -3))
0.0ms	x	@	0	(/.f64 6 (fma.f64 x x -3))

rewrite98.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`add-sqr-sqrt`
1824×	`*-un-lft-identity`
1720×	`add-cube-cbrt`
1706×	`add-cbrt-cube`
192×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	212	30
2	2370	30

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 6 (/.f64 1 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 6 (fma.f64 x x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 6 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x x -3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -6 (/.f64 1 (neg.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x x -3) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (fma.f64 x x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 x x -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (pow.f64 (/.f64 1 (fma.f64 x x -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/6 (neg.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1) (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 6 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 6 (fma.f64 x x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (/.f64 6 (cbrt.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -3)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/6 (/.f64 1 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (fma.f64 x x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (neg.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (fma.f64 x x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 x x -3))))))))

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

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1584×	`associate-+l+`
722×	`times-frac`
710×	`associate-*r/`
622×	`associate-+r-`
586×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1464
1	316	1460
2	1156	1456
3	5852	1456

Stop Event

1×	node limit

Counts

76 → 85

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3)))) 1)
(*.f64 6 (/.f64 1 (fma.f64 x x -3)))
(*.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(*.f64 1 (/.f64 6 (fma.f64 x x -3)))
(*.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(*.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 6)
(*.f64 -6 (/.f64 1 (neg.f64 (fma.f64 x x -3))))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) -1)
(pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)
(pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 3)
(pow.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3) 1/3)
(sqrt.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)))
(log.f64 (exp.f64 (/.f64 6 (fma.f64 x x -3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (fma.f64 x x -3)))))
(cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3))
(expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3))))
(exp.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))))
(exp.f64 (*.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))) 1))
(log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 x x -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(*.f64 (fma.f64 x x -3) 1/6)
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 (/.f64 1 (fma.f64 x x -3)) -1))
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1) (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))
(/.f64 (fma.f64 x x -3) 6)
(/.f64 -1 (neg.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))
(/.f64 1 (/.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (/.f64 6 (cbrt.f64 (fma.f64 x x -3))))
(/.f64 (neg.f64 (fma.f64 x x -3)) -6)
(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))
(sqrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2))
(log.f64 (exp.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))

Outputs
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(fma.f64 -2/3 (*.f64 x x) -2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(+.f64 (.f64 -2/9 (pow.f64 x 4)) (fma.f64 -2/3 (.f64 x x) -2))
(fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/3 (*.f64 x x) -2))
(fma.f64 -2/3 (*.f64 x x) (fma.f64 -2/9 (pow.f64 x 4) -2))
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(+.f64 (fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/3 (.f64 x x) (.f64 -2/27 (pow.f64 x 6)))) -2)
(+.f64 -2 (fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/3 (.f64 x x) (.f64 -2/27 (pow.f64 x 6)))))
(fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/3 (*.f64 x x) (fma.f64 -2/27 (pow.f64 x 6) -2)))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 6 (*.f64 x x)))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 6 (*.f64 x x))) (/.f64 54 (pow.f64 x 6)))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 54 (pow.f64 x 6))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 54 (pow.f64 x 6)) (/.f64 18 (pow.f64 x 4))) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8))))
(+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8)))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 162 (pow.f64 x 8)) (/.f64 54 (pow.f64 x 6)))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 54 (pow.f64 x 6)) (/.f64 162 (pow.f64 x 8)))))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 6 (*.f64 x x)))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 6 (*.f64 x x))) (/.f64 54 (pow.f64 x 6)))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 54 (pow.f64 x 6))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 54 (pow.f64 x 6)) (/.f64 18 (pow.f64 x 4))) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8))))
(+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8)))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 162 (pow.f64 x 8)) (/.f64 54 (pow.f64 x 6)))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 54 (pow.f64 x 6)) (/.f64 162 (pow.f64 x 8)))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 (.f64 x x) 1/6)
(.f64 x (.f64 x 1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 (.f64 x x) 1/6)
(.f64 x (.f64 x 1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3)))) 1)
(/.f64 6 (fma.f64 x x -3))
(*.f64 6 (/.f64 1 (fma.f64 x x -3)))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(/.f64 6 (fma.f64 x x -3))
(*.f64 1 (/.f64 6 (fma.f64 x x -3)))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 6)
(/.f64 6 (fma.f64 x x -3))
(*.f64 -6 (/.f64 1 (neg.f64 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) -1)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 3)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3) 1/3)
(/.f64 6 (fma.f64 x x -3))
(sqrt.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)))
(log.f64 (exp.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (fma.f64 x x -3)))))
(/.f64 6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3))
(/.f64 6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(exp.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(exp.f64 (*.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))) 1))
(/.f64 6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 (/.f64 1 (fma.f64 x x -3)) -1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1) (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (fma.f64 x x -3) 6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 -1 (neg.f64 (/.f64 6 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 1 (/.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (/.f64 6 (cbrt.f64 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (neg.f64 (fma.f64 x x -3)) -6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (exp.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.45%	(.f64 1/6 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 1/6 (.f64 x x))
0.0ms	x	@	inf	(.f64 1/6 (.f64 x x))
0.0ms	x	@	-inf	(.f64 1/6 (.f64 x x))

rewrite50.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
988×	`add-cube-cbrt`
980×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 1/6 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify40.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
746×	`associate-r`
702×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	92	299
2	347	299
3	1900	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) 1/3)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.12%	(*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)
✓	0.13%	(pow.f64 (fma.f64 x x -3) 2)
✓	13.79%	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series1.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)
0.0ms	x	@	0	(pow.f64 (fma.f64 x x -3) 2)
0.0ms	x	@	0	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
0.0ms	x	@	inf	(pow.f64 (fma.f64 x x -3) 2)
0.0ms	x	@	inf	(*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)

rewrite79.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`cbrt-prod`
848×	`*-commutative`
774×	`sqrt-prod`
556×	`unswap-sqr`
512×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	243	51
2	2611	51

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(pow.f64 (fma.f64 x x -3) 2)
(*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1/36 1/2) -3) (*.f64 (pow.f64 1/36 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1/36 1/2) (*.f64 x x)) (*.f64 (pow.f64 1/36 1/2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (pow.f64 1/36 1/2)) (*.f64 (*.f64 x x) (pow.f64 1/36 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (pow.f64 1/36 1/2)) (*.f64 -3 (pow.f64 1/36 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) (fabs.f64 (pow.f64 1/36 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -3) 1/6) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (*.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (sqrt.f64 (*.f64 1/36 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (*.f64 1/36 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/36) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4) (sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 4)) (cbrt.f64 (*.f64 (*.f64 (fma.f64 x x -3) 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 1/36 1/2)) (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 1 1/2)) (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 x x -3) 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3/2)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/36)) (sqrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/36 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)))) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) (*.f64 (fma.f64 x x -3) 1/6))) (sqrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 4)) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (+.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (+.f64 -27 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1/36 1/2) (+.f64 (pow.f64 x 4) -9)) (+.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1/36 1/2) (+.f64 -27 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -27 (pow.f64 x 6)) 1/6) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) (pow.f64 1/36 1/2)) (+.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -27 (pow.f64 x 6)) (pow.f64 1/36 1/2)) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 4) 1/1296) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x x -3) (*.f64 x x)) (*.f64 -3 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (fma.f64 x x -3)) (*.f64 (fma.f64 x x -3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (fma.f64 x x -3) (*.f64 x x))) (*.f64 1 (*.f64 -3 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 x x -3) (*.f64 x x)) 1) (*.f64 (*.f64 -3 (fma.f64 x x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x x -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (pow.f64 (fma.f64 x x -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -3)) (*.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -3) 3/2) (sqrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)))) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4))) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) (pow.f64 (fma.f64 x x -3) 4))) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)) (pow.f64 (fma.f64 x x -3) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -3) (+.f64 (pow.f64 x 4) -9)) (+.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -3) (+.f64 -27 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)) (+.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -27 (pow.f64 x 6)) (fma.f64 x x -3)) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x x -3) (*.f64 x x)) (*.f64 (fma.f64 x x -3) (*.f64 x x))) (*.f64 (*.f64 -3 (fma.f64 x x -3)) (*.f64 -3 (fma.f64 x x -3)))) (-.f64 (*.f64 (fma.f64 x x -3) (*.f64 x x)) (*.f64 -3 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x -3) (*.f64 x x)) 3) (pow.f64 (*.f64 -3 (fma.f64 x x -3)) 3)) (+.f64 (*.f64 (*.f64 (fma.f64 x x -3) (*.f64 x x)) (*.f64 (fma.f64 x x -3) (*.f64 x x))) (-.f64 (*.f64 (*.f64 -3 (fma.f64 x x -3)) (*.f64 -3 (fma.f64 x x -3))) (*.f64 (*.f64 (fma.f64 x x -3) (*.f64 x x)) (*.f64 -3 (fma.f64 x x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 4) -9)) (*.f64 (+.f64 (*.f64 x x) 3) (+.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 -27 (pow.f64 x 6))) (*.f64 (+.f64 (*.f64 x x) 3) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -27 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) -9)) (*.f64 (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))) (+.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -27 (pow.f64 x 6)) (+.f64 -27 (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 x x -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x -3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x -3) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/36 (*.f64 (fma.f64 x x -3) (*.f64 x x))) (*.f64 1/36 (*.f64 -3 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 x x -3) 1/36) -3) (*.f64 (*.f64 (fma.f64 x x -3) 1/36) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 x x -3) 1/36) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x x -3) 1/36) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 x x -3) (*.f64 x x)) 1/36) (*.f64 (*.f64 -3 (fma.f64 x x -3)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (*.f64 (fma.f64 x x -3) 1/36)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x -3) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x -3) 1/36)) (*.f64 -3 (*.f64 (fma.f64 x x -3) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 x x -3) 1/36) (+.f64 (pow.f64 x 4) -9)) (+.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 x x -3) 1/36) (+.f64 -27 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 (fma.f64 x x -3) 1/36)) (+.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -27 (pow.f64 x 6)) (*.f64 (fma.f64 x x -3) 1/36)) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6)) (+.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -27 (pow.f64 x 6)) (*.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6)) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 -3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 4) 1/1296) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 3) 1/216) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 4) 1/1296))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 x x -3) 2)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))))

simplify91.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-/r*`
1148×	`associate-/l*`
1014×	`times-frac`
790×	`associate-r`
642×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	5309
1	998	5075
2	3705	5045

Stop Event

1×	node limit

Counts

177 → 239

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
9
(+.f64 9 (*.f64 -6 (pow.f64 x 2)))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2)))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2)))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
1/4
(+.f64 1/4 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) -1)
(+.f64 -1/2 (.f64 1/6 (.f64 x x)))
(+.f64 -1/2 (.f64 (.f64 x x) 1/6))
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(+.f64 (.f64 (pow.f64 1/36 1/2) -3) (.f64 (pow.f64 1/36 1/2) (*.f64 x x)))
(+.f64 (.f64 (pow.f64 1/36 1/2) (.f64 x x)) (*.f64 (pow.f64 1/36 1/2) -3))
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(+.f64 (.f64 -3 (pow.f64 1/36 1/2)) (.f64 (*.f64 x x) (pow.f64 1/36 1/2)))
(+.f64 (.f64 (.f64 x x) (pow.f64 1/36 1/2)) (*.f64 -3 (pow.f64 1/36 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(*.f64 (fma.f64 x x -3) 1/6)
(*.f64 (fma.f64 x x -3) (pow.f64 1/36 1/2))
(*.f64 (fma.f64 x x -3) (fabs.f64 (pow.f64 1/36 1/2)))
(*.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 1/6) 3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 (.f64 (fma.f64 x x -3) 1/6) (pow.f64 1 1/2))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/36)))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (sqrt.f64 (.f64 1/36 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (.f64 1/36 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (cbrt.f64 1/36) (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/4) (sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3/2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 4)) (cbrt.f64 (.f64 (.f64 (fma.f64 x x -3) 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))))
(*.f64 (pow.f64 1/36 1/2) (fma.f64 x x -3))
(.f64 (pow.f64 1 1/2) (.f64 (fma.f64 x x -3) 1/6))
(*.f64 (fabs.f64 (pow.f64 1/36 1/2)) (fma.f64 x x -3))
(.f64 (fabs.f64 (pow.f64 1 1/2)) (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 x x -3) 1/6) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2))) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3/2)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/36)) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (sqrt.f64 (.f64 1/36 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)))) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) (*.f64 (fma.f64 x x -3) 1/6))) (sqrt.f64 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) (cbrt.f64 1/6))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 4)) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(/.f64 (.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (+.f64 (.f64 x x) 3))
(/.f64 (.f64 1/6 (+.f64 -27 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (*.f64 x x)))))
(/.f64 (.f64 (pow.f64 1/36 1/2) (+.f64 (pow.f64 x 4) -9)) (+.f64 (.f64 x x) 3))
(/.f64 (.f64 (pow.f64 1/36 1/2) (+.f64 -27 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (.f64 x x) 3))
(/.f64 (.f64 (+.f64 -27 (pow.f64 x 6)) 1/6) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) (pow.f64 1/36 1/2)) (+.f64 (.f64 x x) 3))
(/.f64 (.f64 (+.f64 -27 (pow.f64 x 6)) (pow.f64 1/36 1/2)) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6))) (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6))) (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6))) 1))))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36) 1/2)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 3/2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 4) 1/1296) 1/4)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 6) 1/6)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 3) 1/216) 1/3)
(fabs.f64 (*.f64 (fma.f64 x x -3) 1/6))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(fabs.f64 (neg.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) -1)
(+.f64 (.f64 (fma.f64 x x -3) (.f64 x x)) (*.f64 -3 (fma.f64 x x -3)))
(+.f64 (.f64 -3 (fma.f64 x x -3)) (.f64 (fma.f64 x x -3) (*.f64 x x)))
(+.f64 (.f64 1 (.f64 (fma.f64 x x -3) (.f64 x x))) (.f64 1 (*.f64 -3 (fma.f64 x x -3))))
(+.f64 (.f64 (.f64 (fma.f64 x x -3) (.f64 x x)) 1) (.f64 (*.f64 -3 (fma.f64 x x -3)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) 1)
(*.f64 (fma.f64 x x -3) (fma.f64 x x -3))
(*.f64 (pow.f64 (fma.f64 x x -3) 2) 1)
(*.f64 1 (pow.f64 (fma.f64 x x -3) 2))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (pow.f64 (fma.f64 x x -3) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(.f64 (cbrt.f64 (fma.f64 x x -3)) (.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)))
(*.f64 (pow.f64 (fma.f64 x x -3) 3/2) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4))) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) 3))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) (pow.f64 (fma.f64 x x -3) 4))) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 4)) (pow.f64 (fma.f64 x x -3) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)))
(/.f64 (.f64 (fma.f64 x x -3) (+.f64 (pow.f64 x 4) -9)) (+.f64 (.f64 x x) 3))
(/.f64 (.f64 (fma.f64 x x -3) (+.f64 -27 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)) (+.f64 (.f64 x x) 3))
(/.f64 (.f64 (+.f64 -27 (pow.f64 x 6)) (fma.f64 x x -3)) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 x x -3) (.f64 x x)) (.f64 (fma.f64 x x -3) (.f64 x x))) (.f64 (.f64 -3 (fma.f64 x x -3)) (.f64 -3 (fma.f64 x x -3)))) (-.f64 (.f64 (fma.f64 x x -3) (.f64 x x)) (*.f64 -3 (fma.f64 x x -3))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) 1))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x -3) (.f64 x x)) 3) (pow.f64 (.f64 -3 (fma.f64 x x -3)) 3)) (+.f64 (.f64 (.f64 (fma.f64 x x -3) (.f64 x x)) (.f64 (fma.f64 x x -3) (.f64 x x))) (-.f64 (.f64 (.f64 -3 (fma.f64 x x -3)) (.f64 -3 (fma.f64 x x -3))) (.f64 (.f64 (fma.f64 x x -3) (.f64 x x)) (*.f64 -3 (fma.f64 x x -3))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2))) 1))))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 4) -9)) (.f64 (+.f64 (.f64 x x) 3) (+.f64 (.f64 x x) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 -27 (pow.f64 x 6))) (.f64 (+.f64 (.f64 x x) 3) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (*.f64 x x))))))
(/.f64 (.f64 (+.f64 -27 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) -9)) (.f64 (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (.f64 x x)))) (+.f64 (*.f64 x x) 3)))
(/.f64 (.f64 (+.f64 -27 (pow.f64 x 6)) (+.f64 -27 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (.f64 x x)))) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (.f64 x x))))))
(sqrt.f64 (pow.f64 (fma.f64 x x -3) 4))
(fabs.f64 (pow.f64 (fma.f64 x x -3) 2))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x -3) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x -3) 2))))
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 6))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x -3) 2)))
(exp.f64 (*.f64 2 (log.f64 (fma.f64 x x -3))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x -3) 2)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) -1)
(+.f64 (.f64 1/36 (.f64 (fma.f64 x x -3) (.f64 x x))) (.f64 1/36 (*.f64 -3 (fma.f64 x x -3))))
(+.f64 (.f64 (.f64 (fma.f64 x x -3) 1/36) -3) (.f64 (.f64 (fma.f64 x x -3) 1/36) (*.f64 x x)))
(+.f64 (.f64 (.f64 (fma.f64 x x -3) 1/36) (.f64 x x)) (.f64 (*.f64 (fma.f64 x x -3) 1/36) -3))
(+.f64 (.f64 (.f64 (fma.f64 x x -3) (.f64 x x)) 1/36) (.f64 (*.f64 -3 (fma.f64 x x -3)) 1/36))
(+.f64 (.f64 -3 (.f64 (fma.f64 x x -3) 1/36)) (.f64 (.f64 x x) (*.f64 (fma.f64 x x -3) 1/36)))
(+.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x x -3) 1/36)) (.f64 -3 (*.f64 (fma.f64 x x -3) 1/36)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) 1)
(/.f64 (.f64 (.f64 (fma.f64 x x -3) 1/36) (+.f64 (pow.f64 x 4) -9)) (+.f64 (*.f64 x x) 3))
(/.f64 (.f64 (.f64 (fma.f64 x x -3) 1/36) (+.f64 -27 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (fma.f64 x x -3) 1/36)) (+.f64 (*.f64 x x) 3))
(/.f64 (.f64 (+.f64 -27 (pow.f64 x 6)) (.f64 (fma.f64 x x -3) 1/36)) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6)) (+.f64 (.f64 x x) 3))
(/.f64 (.f64 (+.f64 -27 (pow.f64 x 6)) (.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6)) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 -3 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) 1))))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36) 1)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 2)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 4)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 6)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 4) 1/1296) 1/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 6) 1/3)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 3) 1/216) 2/3)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 4) 1/1296))
(fabs.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 x x -3) 2)) 1/36))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(exp.f64 (.f64 2 (log.f64 (.f64 (fma.f64 x x -3) 1/6))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (fma.f64 x x -3))
9
(+.f64 9 (*.f64 -6 (pow.f64 x 2)))
(+.f64 9 (.f64 -6 (.f64 x x)))
(fma.f64 -6 (*.f64 x x) 9)
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(+.f64 9 (+.f64 (.f64 -6 (.f64 x x)) (pow.f64 x 4)))
(+.f64 9 (fma.f64 -6 (*.f64 x x) (pow.f64 x 4)))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(+.f64 9 (+.f64 (.f64 -6 (.f64 x x)) (pow.f64 x 4)))
(+.f64 9 (fma.f64 -6 (*.f64 x x) (pow.f64 x 4)))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2)))
(+.f64 (.f64 -6 (.f64 x x)) (pow.f64 x 4))
(fma.f64 -6 (*.f64 x x) (pow.f64 x 4))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(+.f64 9 (+.f64 (.f64 -6 (.f64 x x)) (pow.f64 x 4)))
(+.f64 9 (fma.f64 -6 (*.f64 x x) (pow.f64 x 4)))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(+.f64 9 (+.f64 (.f64 -6 (.f64 x x)) (pow.f64 x 4)))
(+.f64 9 (fma.f64 -6 (*.f64 x x) (pow.f64 x 4)))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2)))
(+.f64 (.f64 -6 (.f64 x x)) (pow.f64 x 4))
(fma.f64 -6 (*.f64 x x) (pow.f64 x 4))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(+.f64 9 (+.f64 (.f64 -6 (.f64 x x)) (pow.f64 x 4)))
(+.f64 9 (fma.f64 -6 (*.f64 x x) (pow.f64 x 4)))
(+.f64 9 (+.f64 (pow.f64 x 4) (*.f64 -6 (pow.f64 x 2))))
(+.f64 9 (+.f64 (.f64 -6 (.f64 x x)) (pow.f64 x 4)))
(+.f64 9 (fma.f64 -6 (*.f64 x x) (pow.f64 x 4)))
1/4
(+.f64 1/4 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1/4 (.f64 -1/6 (.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1/4)
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 -1/6 (.f64 x x))))
(fma.f64 (pow.f64 x 4) 1/36 (fma.f64 -1/6 (*.f64 x x) 1/4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 -1/6 (.f64 x x))))
(fma.f64 (pow.f64 x 4) 1/36 (fma.f64 -1/6 (*.f64 x x) 1/4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) 1/36)
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/36 (pow.f64 x 4) (.f64 -1/6 (.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/36 (.f64 x (.f64 x -1/6)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 -1/6 (.f64 x x))))
(fma.f64 (pow.f64 x 4) 1/36 (fma.f64 -1/6 (*.f64 x x) 1/4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 -1/6 (.f64 x x))))
(fma.f64 (pow.f64 x 4) 1/36 (fma.f64 -1/6 (*.f64 x x) 1/4))
(*.f64 1/36 (pow.f64 x 4))
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(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 2)
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 4)
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 3)
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 6)
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 4) 1/1296) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 4) 1/1296))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 6))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 6) 1/46656))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 3) 1/216) 2/3)
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 3) 1/216)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 3) 1/216)))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 4) 1/1296))
(fabs.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 x x -3) 2)) 1/36))
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 6))
(cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 6))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 6) 1/46656))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(exp.f64 (.f64 2 (log.f64 (.f64 (fma.f64 x x -3) 1/6))))
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2%	(*.f64 (fma.f64 x x -3) 1/6)
✓	0.34%	(cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
✓	1.47%	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)

Compiler

Compiled 31 to 22 computations (29% saved)

series7.0ms (0.2%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
0.0ms	x	@	0	(cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
0.0ms	x	@	inf	(cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))

rewrite71.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1938×	`add-sqr-sqrt`
1892×	`*-un-lft-identity`
1784×	`add-cube-cbrt`
1768×	`add-cbrt-cube`
204×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	245	49
2	2486	49

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
(*.f64 (fma.f64 x x -3) 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) (*.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -3)) (*.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 1) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 2) 3) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

simplify76.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1108×	`associate-/r/`
1096×	`associate-/l/`
762×	`distribute-lft-in`
750×	`distribute-rgt-in`
662×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2134
1	468	2110
2	1807	2014
3	6095	2014

Stop Event

1×	node limit

Counts

92 → 98

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -3) (.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)))) (cbrt.f64 1/6))) 1/162) (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -3) (.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)))) (cbrt.f64 1/6))) 1/162) (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 (cbrt.f64 -3) (.f64 (+.f64 (.f64 -2/27 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 7))) (.f64 10/81 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 7)))) (cbrt.f64 1/6))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)))) (cbrt.f64 1/6)) (pow.f64 (cbrt.f64 -3) 2)))) (.f64 1/486 (/.f64 1 (pow.f64 (cbrt.f64 -3) 6)))) (pow.f64 x 6)))) 1/2)
(*.f64 (cbrt.f64 -3) (cbrt.f64 1/6))
(+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -3) 2))) (*.f64 (cbrt.f64 -3) (cbrt.f64 1/6)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -3) 5))) (*.f64 (cbrt.f64 -3) (cbrt.f64 1/6))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -3) 5))) (+.f64 (.f64 (cbrt.f64 -3) (cbrt.f64 1/6)) (.f64 5/81 (/.f64 (*.f64 (cbrt.f64 1/6) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -3) 8))))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(*.f64 (fma.f64 x x -3) 1/6)
(*.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 1/6) 3))
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) (.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))
(.f64 (cbrt.f64 (fma.f64 x x -3)) (.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (.f64 1/6 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 1) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 1/6))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2) 3) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))) 1)
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1)
(.f64 1 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6))
(*.f64 (cbrt.f64 1/6) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (cbrt.f64 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -3) (.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)))) (cbrt.f64 1/6))) 1/162) (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2))) 1/2)
(+.f64 (.f64 (fma.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 1/6) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)) -1/9)) -1/162) (pow.f64 x 4)) (fma.f64 1/6 (.f64 x x) -1/2))
(fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (.f64 -3 (cbrt.f64 -3))) (.f64 -1/9 (cbrt.f64 1/6))) -1/162) (pow.f64 x 4) (.f64 1/6 (fma.f64 x x -3)))
(fma.f64 1/6 (fma.f64 x x -3) (.f64 (fma.f64 (cbrt.f64 -3) (.f64 -1/9 (/.f64 1/6 (*.f64 -3 (cbrt.f64 -3)))) -1/162) (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -3) (.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)))) (cbrt.f64 1/6))) 1/162) (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 (cbrt.f64 -3) (.f64 (+.f64 (.f64 -2/27 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 7))) (.f64 10/81 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 7)))) (cbrt.f64 1/6))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)))) (cbrt.f64 1/6)) (pow.f64 (cbrt.f64 -3) 2)))) (.f64 1/486 (/.f64 1 (pow.f64 (cbrt.f64 -3) 6)))) (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 1/6) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)) -1/9)) -1/162) (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (.f64 (-.f64 (fma.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 1/6) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 7)) 4/81)) (.f64 1/3 (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)) -1/9) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (cbrt.f64 1/6))))) (/.f64 1/486 (pow.f64 (cbrt.f64 -3) 6))) (pow.f64 x 6)))) -1/2)
(fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (.f64 -3 (cbrt.f64 -3))) (.f64 -1/9 (cbrt.f64 1/6))) -1/162) (pow.f64 x 4) (+.f64 (.f64 (fma.f64 (cbrt.f64 -3) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 7)) (.f64 4/81 (cbrt.f64 1/6))) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (.f64 -3 (cbrt.f64 -3))) (/.f64 (/.f64 (pow.f64 (cbrt.f64 -3) 2) (cbrt.f64 1/6)) -1/9)) -1/4374)) (pow.f64 x 6)) (.f64 1/6 (fma.f64 x x -3))))
(fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 -1/9 (/.f64 1/6 (.f64 -3 (cbrt.f64 -3)))) -1/162) (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 4/81 (/.f64 1/6 (pow.f64 (cbrt.f64 -3) 7))) (fma.f64 1/3 (/.f64 (.f64 -1/9 (/.f64 1/6 (.f64 -3 (cbrt.f64 -3)))) (pow.f64 (cbrt.f64 -3) 2)) -1/4374)) (pow.f64 x 6) -1/2)))
(fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 -1/9 (/.f64 1/6 (.f64 -3 (cbrt.f64 -3)))) -1/162) (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 4/81 (/.f64 1/6 (pow.f64 (cbrt.f64 -3) 7))) (fma.f64 1/3 (/.f64 1/6 (.f64 (/.f64 (pow.f64 (cbrt.f64 -3) 2) -1/9) (.f64 -3 (cbrt.f64 -3)))) -1/4374)) (pow.f64 x 6) -1/2)))
(*.f64 (cbrt.f64 -3) (cbrt.f64 1/6))
(+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -3) 2))) (*.f64 (cbrt.f64 -3) (cbrt.f64 1/6)))
(fma.f64 1/3 (/.f64 (.f64 (.f64 x x) (cbrt.f64 1/6)) (pow.f64 (cbrt.f64 -3) 2)) (*.f64 (cbrt.f64 -3) (cbrt.f64 1/6)))
(fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 (.f64 x x) (cbrt.f64 1/6)))))
(fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 x (.f64 x (cbrt.f64 1/6))))))
(fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 (.f64 x x) 1/3))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -3) 5))) (*.f64 (cbrt.f64 -3) (cbrt.f64 1/6))))
(fma.f64 1/3 (/.f64 (.f64 (.f64 x x) (cbrt.f64 1/6)) (pow.f64 (cbrt.f64 -3) 2)) (fma.f64 -1/9 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -3) 5)) (.f64 (cbrt.f64 -3) (cbrt.f64 1/6))))
(fma.f64 1/3 (/.f64 (.f64 x x) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (cbrt.f64 1/6))) (fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (/.f64 (.f64 -1/9 (*.f64 (cbrt.f64 1/6) (pow.f64 x 4))) (pow.f64 (cbrt.f64 -3) 5))))
(fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (fma.f64 -1/9 (.f64 (pow.f64 x 4) (/.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 -3) 5))) (/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 x (*.f64 x (cbrt.f64 1/6)))))))
(fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (fma.f64 -1/9 (.f64 (pow.f64 x 4) (/.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 -3) 5))) (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 (*.f64 x x) 1/3)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -3) 5))) (+.f64 (.f64 (cbrt.f64 -3) (cbrt.f64 1/6)) (.f64 5/81 (/.f64 (*.f64 (cbrt.f64 1/6) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -3) 8))))))
(fma.f64 1/3 (/.f64 (.f64 (.f64 x x) (cbrt.f64 1/6)) (pow.f64 (cbrt.f64 -3) 2)) (fma.f64 -1/9 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -3) 5)) (fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (.f64 5/81 (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 8) (pow.f64 x 6)))))))
(fma.f64 1/3 (/.f64 (.f64 x x) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (cbrt.f64 1/6))) (fma.f64 -1/9 (.f64 (/.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 -3) 5)) (pow.f64 x 4)) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cbrt.f64 -3) 8) (cbrt.f64 1/6))) (*.f64 (cbrt.f64 -3) (cbrt.f64 1/6)))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -3) 2)) (cbrt.f64 1/6)) (fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (fma.f64 5/81 (.f64 (pow.f64 x 6) (/.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 -3) 8))) (.f64 (/.f64 (*.f64 (cbrt.f64 1/6) -1/9) (pow.f64 (cbrt.f64 -3) 5)) (pow.f64 x 4)))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) (.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (fma.f64 x x -3)) (.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))
(.f64 (cbrt.f64 (fma.f64 x x -3)) (.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2)))
(.f64 (cbrt.f64 1/6) (.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2) (cbrt.f64 (fma.f64 x x -3))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2) (*.f64 (cbrt.f64 1/6) (cbrt.f64 (fma.f64 x x -3))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 1/6 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 1) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 1/6))
(.f64 (cbrt.f64 (fma.f64 x x -3)) (.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2)))
(.f64 (cbrt.f64 1/6) (.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2) (cbrt.f64 (fma.f64 x x -3))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2) (*.f64 (cbrt.f64 1/6) (cbrt.f64 (fma.f64 x x -3))))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2) 3) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(fabs.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))) 1)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 1 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 1/6) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 2))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 1/3))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (cbrt.f64 1/6))
(*.f64 (cbrt.f64 1/6) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (fma.f64 x x -3)))) (cbrt.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/3)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 2)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 1))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1/3))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(fabs.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.05%	(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
✓	0.2%	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
	0.2%	(*.f64 (fma.f64 x x -3) 1/6)

Compiler

Compiled 31 to 22 computations (29% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
1.0ms	x	@	inf	(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
0.0ms	x	@	0	(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)

rewrite62.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1902×	`add-sqr-sqrt`
1866×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1734×	`add-cbrt-cube`
202×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	243	34
2	2408	34

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) (pow.f64 (sqrt.f64 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4) (*.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (*.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

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

simplify77.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-*r/`
1062×	`fma-def`
1034×	`+-commutative`
900×	`unswap-sqr`
680×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	3134
1	506	2140
2	2025	2034
3	6853	2034

Stop Event

1×	node limit

Counts

78 → 127

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 4))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 4)))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 x 4)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 2)) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 2)) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 2)) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3)))))
(*.f64 (sqrt.f64 1/6) x)
(+.f64 (.f64 (sqrt.f64 1/6) x) (.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)))
(+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)) (*.f64 -9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3)))))
(+.f64 (.f64 -27/16 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5))) (+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)) (.f64 -9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))))))
(.f64 -1 (.f64 (sqrt.f64 1/6) x))
(+.f64 (.f64 3/2 (/.f64 (sqrt.f64 1/6) x)) (.f64 -1 (*.f64 (sqrt.f64 1/6) x)))
(+.f64 (.f64 9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))) (+.f64 (.f64 3/2 (/.f64 (sqrt.f64 1/6) x)) (.f64 -1 (.f64 (sqrt.f64 1/6) x))))
(+.f64 (.f64 9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))) (+.f64 (.f64 3/2 (/.f64 (sqrt.f64 1/6) x)) (+.f64 (.f64 27/16 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5))) (.f64 -1 (*.f64 (sqrt.f64 1/6) x)))))
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(*.f64 (fma.f64 x x -3) 1/6)
(*.f64 (fma.f64 x x -3) (pow.f64 (sqrt.f64 1/6) 2))
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/4) (.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/4) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/4)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4))
(.f64 (.f64 1/6 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 1/6))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))) 1)
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1)
(.f64 1 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/4) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 1/6))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1/2))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))
-1/2
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(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/4)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (.f64 1/6 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 1/6))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3))))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 x x -3))))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (.f64 (sqrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))))))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))) 4))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))) 4))
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(fabs.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))) 1)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(.f64 1 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/4) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 1/6))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3)))) (sqrt.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3)))) (sqrt.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/2)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4) 2)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3/2))
(cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1/2))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 1))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))

eval224.0ms (7.6%)

Compiler: Compiled 9628 to 7629 computations (20.8% saved)

prune78.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	570	2	572
Fresh	1	1	2
Picked	1	0	1
Done	3	2	5
Total	575	5	580

Error

Counts

580 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	67.32%	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
✓	0.1%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	67.36%	(.f64 x (.f64 x 1/6))
✓	67.39%	(.f64 1/6 (.f64 x x))
	31.75%	-1/2

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.24%	(.f64 x (.f64 x 1/6))
✓	0.5%	(*.f64 x 1/6)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 x 1/6)
0.0ms	x	@	0	(*.f64 x 1/6)
0.0ms	x	@	inf	(*.f64 x 1/6)
0.0ms	x	@	0	(.f64 x (.f64 x 1/6))
0.0ms	x	@	inf	(.f64 x (.f64 x 1/6))

rewrite51.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`add-sqr-sqrt`
1090×	`*-un-lft-identity`
1034×	`pow1`
1016×	`add-cube-cbrt`
1002×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	121	20
2	1383	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 x 1/6)
(.f64 x (.f64 x 1/6))

Outputs

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

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

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1452×	`distribute-lft-in`
1444×	`distribute-rgt-in`
1308×	`associate-+r+`
1228×	`associate-+l+`
654×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	460
1	138	460
2	584	460
3	2212	460

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.24%	(/.f64 6 (*.f64 x x))
✓	0.88%	(pow.f64 (/.f64 6 (*.f64 x x)) -1)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
0.0ms	x	@	inf	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
0.0ms	x	@	0	(/.f64 6 (*.f64 x x))
0.0ms	x	@	-inf	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
0.0ms	x	@	inf	(/.f64 6 (*.f64 x x))

rewrite57.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`add-sqr-sqrt`
1486×	`*-un-lft-identity`
1404×	`add-cube-cbrt`
1394×	`add-cbrt-cube`
1382×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	173	26
2	2041	26

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(/.f64 6 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 1 (/.f64 (sqrt.f64 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (pow.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 6 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 6 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/6 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))))))

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1638×	`associate-+r+`
1472×	`associate-+l+`
734×	`associate-*r/`
698×	`associate-+l-`
694×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	1196
1	260	1196
2	919	1184
3	4321	1184

Stop Event

1×	node limit

Counts

76 → 68

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) 1)
(.f64 (.f64 x x) 1/6)
(.f64 (.f64 (*.f64 x x) 1/6) 1)
(.f64 1 (.f64 (*.f64 x x) 1/6))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 1 (/.f64 (sqrt.f64 6) x)))
(.f64 (cbrt.f64 (.f64 (*.f64 x x) 1/6)) (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (.f64 (*.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(.f64 -1/6 (.f64 x (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) -1))
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)
(/.f64 -1 (neg.f64 (/.f64 6 (*.f64 x x))))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 6 (*.f64 x x)) 1))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 6 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 x (neg.f64 x)) -6)
(/.f64 1/6 (pow.f64 x -2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(sqrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4))))
(log.f64 (exp.f64 (.f64 (.f64 x x) 1/6)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 1/6)))
(exp.f64 (log.f64 (.f64 (.f64 x x) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/6)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 1/6)))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)
(*.f64 6 (pow.f64 x -2))
(.f64 (/.f64 6 (.f64 x x)) 1)
(.f64 1 (/.f64 6 (.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (.f64 x x))))
(*.f64 (/.f64 6 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 6)
(.f64 -6 (/.f64 1 (.f64 x (neg.f64 x))))
(pow.f64 (/.f64 6 (*.f64 x x)) 1)
(pow.f64 (.f64 (.f64 x x) 1/6) -1)
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (/.f64 36 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 6 (*.f64 x x))))
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 6 (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(-.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) 1)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (.f64 x x) 1/6)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (.f64 (*.f64 x x) 1/6) 1)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 1 (.f64 (*.f64 x x) 1/6))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 1 (/.f64 (sqrt.f64 6) x)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (cbrt.f64 (.f64 (*.f64 x x) 1/6)) (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (/.f64 1/6 (pow.f64 x -2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (.f64 (*.f64 x x) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (/.f64 1/6 (pow.f64 x -2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 -1/6 (.f64 x (neg.f64 x)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) -1))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (/.f64 6 (.f64 x x)))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(/.f64 1 (.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(/.f64 x (/.f64 6 x))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 (*.f64 x x) 6)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 -1 (neg.f64 (/.f64 6 (*.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 1 (/.f64 (/.f64 6 (*.f64 x x)) 1))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 6 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 6) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) 6))
(/.f64 (*.f64 x (neg.f64 x)) -6)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 1/6 (pow.f64 x -2))
(.f64 1/6 (.f64 x x))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (/.f64 6 (.f64 x x)))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(/.f64 1 (.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(sqrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4))))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(fabs.f64 (/.f64 1/6 (pow.f64 x -2)))
(log.f64 (exp.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(exp.f64 (log.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/6)) 1))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (*.f64 x x))
(.f64 (/.f64 6 (.f64 x x)) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(.f64 1 (/.f64 6 (.f64 x x)))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2))))
(*.f64 (/.f64 6 x) (/.f64 1 x))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 6)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(.f64 -6 (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (/.f64 6 (*.f64 x x)) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (.f64 (.f64 x x) 1/6) -1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(sqrt.f64 (/.f64 36 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (/.f64 6 (.f64 x x))) 1))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))

eval21.0ms (0.7%)

Compiler: Compiled 837 to 611 computations (27% saved)

prune15.0ms (0.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	91	7	98

Error

Counts

98 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	67.32%	(/.f64 (*.f64 x x) 6)
▶	67.32%	(/.f64 x (/.f64 6 x))
▶	67.32%	(/.f64 1 (/.f64 6 (*.f64 x x)))
✓	67.36%	(.f64 x (.f64 x 1/6))
✓	67.39%	(.f64 1/6 (.f64 x x))
	31.75%	-1/2

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.24%	(/.f64 6 (*.f64 x x))
✓	0.88%	(/.f64 1 (/.f64 6 (*.f64 x x)))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (/.f64 6 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 6 (*.f64 x x)))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 6 (*.f64 x x)))

rewrite58.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`add-sqr-sqrt`
1494×	`*-un-lft-identity`
1412×	`add-cube-cbrt`
1402×	`add-cbrt-cube`
1390×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	171	13
2	2062	13

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(/.f64 1 (/.f64 6 (*.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (pow.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 6 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (*.f64 6 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/6)))))))

simplify44.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1448×	`associate-+r+`
1246×	`associate-+l+`
1128×	`associate-*r/`
1032×	`distribute-lft-in`
680×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	651
1	201	651
2	685	645
3	2050	645

Stop Event

1×	node limit

Counts

41 → 38

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) 1)
(.f64 1 (.f64 (*.f64 x x) 1/6))
(.f64 (.f64 x x) 1/6)
(.f64 (.f64 (*.f64 x x) 1/6) 1)
(.f64 (.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 1/6)) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(.f64 -1 (/.f64 1 (/.f64 -6 (.f64 x x))))
(.f64 (.f64 1/6 x) x)
(.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(.f64 -1/6 (.f64 x (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (.f64 6 (pow.f64 x -2))) -1))
(pow.f64 (*.f64 6 (pow.f64 x -2)) -1)
(pow.f64 (.f64 (.f64 x x) 1/6) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) 1/6)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 1/6)))
(exp.f64 (log.f64 (.f64 (.f64 x x) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 x -2))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/6)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 1/6)))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) 1)
(.f64 1/6 (.f64 x x))
(.f64 1 (.f64 (*.f64 x x) 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x x) 1/6)
(.f64 1/6 (.f64 x x))
(.f64 (.f64 (*.f64 x x) 1/6) 1)
(.f64 1/6 (.f64 x x))
(.f64 (.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(.f64 1/6 (.f64 x x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 1/6)) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 (.f64 x x) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(.f64 1/6 (.f64 x x))
(.f64 -1 (/.f64 1 (/.f64 -6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 1/6 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/6 (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(.f64 1/6 (.f64 x x))
(.f64 -1/6 (.f64 x (neg.f64 x)))
(.f64 1/6 (.f64 x x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(pow.f64 (/.f64 (sqrt.f64 6) x) -2)
(.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (.f64 6 (pow.f64 x -2))) -1))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 x -2) 6))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (pow.f64 x -2) 6)))
(/.f64 1 (.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 x -2) 6))))
(pow.f64 (*.f64 6 (pow.f64 x -2)) -1)
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 (.f64 x x) 1/6) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(.f64 1/6 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) 1/6)) 3)
(.f64 1/6 (.f64 x x))
(pow.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3) 1/3)
(.f64 1/6 (.f64 x x))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(fabs.f64 (.f64 1/6 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3))
(.f64 1/6 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 x -2))) -1))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/6)) 1))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.27%	(/.f64 x (/.f64 6 x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x (/.f64 6 x))
0.0ms	x	@	-inf	(/.f64 x (/.f64 6 x))
0.0ms	x	@	inf	(/.f64 x (/.f64 6 x))

rewrite51.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`add-sqr-sqrt`
1352×	`*-un-lft-identity`
1278×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1252×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1742	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(/.f64 x (/.f64 6 x))

Outputs

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

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1378×	`associate-+r+`
1268×	`associate-+l+`
960×	`associate-*r/`
894×	`*-commutative`
620×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	821
1	271	797
2	1131	797
3	4591	797

Stop Event

1×	node limit

Counts

51 → 48

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.27%	(/.f64 (*.f64 x x) 6)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (*.f64 x x) 6)
0.0ms	x	@	inf	(/.f64 (*.f64 x x) 6)
0.0ms	x	@	-inf	(/.f64 (*.f64 x x) 6)

rewrite47.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`add-sqr-sqrt`
1184×	`*-un-lft-identity`
1122×	`add-cube-cbrt`
1114×	`add-cbrt-cube`
1104×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	130	13
2	1585	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) 6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 6)) (/.f64 x (sqrt.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 6) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))))))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1708×	`distribute-lft-in`
1464×	`associate-l`
1412×	`associate-+r+`
1364×	`associate-*r/`
1228×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	565
1	155	565
2	556	565
3	2597	565

Stop Event

1×	node limit

Counts

37 → 29

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1)
(.f64 x (.f64 x 1/6))
(*.f64 x (/.f64 1 (/.f64 6 x)))
(.f64 (.f64 x x) 1/6)
(.f64 (.f64 x (*.f64 x 1/6)) 1)
(.f64 1 (.f64 x (*.f64 x 1/6)))
(*.f64 (/.f64 x (sqrt.f64 6)) (/.f64 x (sqrt.f64 6)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (.f64 x 1/6))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) -1/6)
(*.f64 (/.f64 x 6) x)
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) -6))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 1 (/.f64 6 x)))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x x) 1/6)
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (*.f64 x 1/6)) 1)
(.f64 1/6 (.f64 x x))
(.f64 1 (.f64 x (*.f64 x 1/6)))
(.f64 1/6 (.f64 x x))
(*.f64 (/.f64 x (sqrt.f64 6)) (/.f64 x (sqrt.f64 6)))
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (.f64 x 1/6))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/6 (cbrt.f64 (*.f64 x x))))
(.f64 1/6 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) -1/6)
(.f64 1/6 (.f64 x x))
(*.f64 (/.f64 x 6) x)
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(.f64 1/6 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(.f64 1/6 (.f64 x x))
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(.f64 1/6 (.f64 x x))
(neg.f64 (/.f64 (*.f64 x x) -6))
(.f64 1/6 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(.f64 1/6 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))

eval29.0ms (1%)

Compiler: Compiled 1300 to 906 computations (30.3% saved)

prune19.0ms (0.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	140	7	147

Error

Counts

147 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	67.32%	(/.f64 (*.f64 x x) 6)
✓	67.32%	(/.f64 x (/.f64 6 x))
✓	67.32%	(/.f64 1 (/.f64 6 (*.f64 x x)))
✓	67.36%	(.f64 x (.f64 x 1/6))
✓	67.39%	(.f64 1/6 (.f64 x x))
	31.75%	-1/2

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes21.0ms (0.7%)

Counts

13 → 1

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)
(/.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Calls

4 calls:

7.0ms	x
5.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
3.0ms	(-.f64 (*.f64 x x) 3)

Results

Error	Segments	Branch
0.1%	1	`x`
0.1%	1	`(/.f64 (-.f64 (*.f64 x x) 3) 6)`
0.1%	1	`(-.f64 (*.f64 x x) 3)`
0.1%	1	`(*.f64 x x)`

Compiler

Compiled 111 to 74 computations (33.3% saved)

regimes21.0ms (0.7%)

Counts

6 → 3

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)
(/.f64 1 (/.f64 6 (*.f64 x x)))

Outputs
(/.f64 1 (/.f64 6 (*.f64 x x)))
-1/2
(/.f64 x (/.f64 6 x))

Calls

2 calls:

13.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.21%	3	`x`
1.23%	2	`(*.f64 x x)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch25.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.350791096655234e-5	99.40268108513165
10.0ms	-10.602139303714251	-0.47887556038676665

Results

21.0ms

256×

body

256

valid

Compiler

Compiled 186 to 151 computations (18.8% saved)

regimes19.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)

Outputs
(/.f64 (*.f64 x x) 6)
-1/2
(/.f64 x (/.f64 6 x))

Calls

2 calls:

12.0ms	x
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.22%	3	`x`
1.23%	2	`(*.f64 x x)`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch25.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.350791096655234e-5	99.40268108513165
11.0ms	-10.602139303714251	-0.47887556038676665

Results

22.0ms

256×

body

256

valid

Compiler

Compiled 172 to 137 computations (20.3% saved)

regimes16.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(/.f64 x (/.f64 6 x))

Outputs
(/.f64 x (/.f64 6 x))
-1/2
(/.f64 x (/.f64 6 x))

Calls

2 calls:

10.0ms	x
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.24%	3	`x`
1.24%	2	`(*.f64 x x)`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch25.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.350791096655234e-5	99.40268108513165
11.0ms	-10.602139303714251	-0.47887556038676665

Results

22.0ms

256×

body

256

valid

Compiler

Compiled 172 to 137 computations (20.3% saved)

regimes15.0ms (0.5%)

Counts

3 → 2

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))

Outputs
-1/2
(.f64 x (.f64 x 1/6))

Calls

2 calls:

9.0ms	x
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.27%	3	`x`
1.27%	2	`(*.f64 x x)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.2293218023357398	112.4053578153625

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.5%)

Accuracy

Total -61.8b remaining (-7368.5%)

Threshold costs -61.8b (-7368.5%)

Counts

2 → 2

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))

Outputs
-1/2
(.f64 1/6 (.f64 x x))

Calls

2 calls:

8.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.31%	3	`x`
1.31%	2	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch12.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.2293218023357398	112.4053578153625

Results

10.0ms

128×

body

256

valid

Compiler

Compiled 76 to 65 computations (14.5% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`sub-neg`
2×	`1-exp`
2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	213
1	49	213
2	50	213

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(if (<=.f64 x -7746191359077253/4503599627370496) (/.f64 1 (/.f64 6 (*.f64 x x))) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 x -7746191359077253/4503599627370496) (/.f64 (*.f64 x x) 6) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 x -7746191359077253/4503599627370496) (/.f64 x (/.f64 6 x)) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 (.f64 x x) 3602879701896397/9007199254740992) -1/2 (.f64 x (*.f64 x 1/6)))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 1/6 (*.f64 x x)))
-1/2

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (+.f64 (*.f64 x x) -3) 6)
(if (<=.f64 x -7746191359077253/4503599627370496) (/.f64 1 (/.f64 6 (*.f64 x x))) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 x -7746191359077253/4503599627370496) (/.f64 (*.f64 x x) 6) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 x -7746191359077253/4503599627370496) (/.f64 x (/.f64 6 x)) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (or (<=.f64 x -7746191359077253/4503599627370496) (not (<=.f64 x 7/4))) (/.f64 x (/.f64 6 x)) -1/2)
(if (<=.f64 (.f64 x x) 3602879701896397/9007199254740992) -1/2 (.f64 x (*.f64 x 1/6)))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 1/6 (*.f64 x x)))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 (*.f64 x x) 1/6))
-1/2

Compiler

Compiled 94 to 67 computations (28.7% saved)

soundness0.0ms (0%)

end51.0ms (1.7%)

Compiler: Compiled 88 to 57 computations (35.2% saved)

Details

analyze3.0ms (0.1%)

sample803.0ms (27.2%)

preprocess14.0ms (0.5%)

simplify12.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite57.0ms (1.9%)

simplify47.0ms (1.6%)

eval46.0ms (1.6%)

prune10.0ms (0.3%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite98.0ms (3.3%)

simplify66.0ms (2.2%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (1.7%)

simplify40.0ms (1.3%)

localize15.0ms (0.5%)

series1.0ms (0.1%)

rewrite79.0ms (2.7%)

simplify91.0ms (3.1%)

localize14.0ms (0.5%)

series7.0ms (0.2%)

rewrite71.0ms (2.4%)

simplify76.0ms (2.6%)

localize13.0ms (0.4%)

series4.0ms (0.1%)

rewrite62.0ms (2.1%)

simplify77.0ms (2.6%)

eval224.0ms (7.6%)

prune78.0ms (2.7%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite51.0ms (1.7%)

simplify43.0ms (1.4%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite57.0ms (1.9%)

simplify58.0ms (2%)

eval21.0ms (0.7%)

prune15.0ms (0.5%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite58.0ms (1.9%)

simplify44.0ms (1.5%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite51.0ms (1.7%)

simplify50.0ms (1.7%)

localize5.0ms (0.2%)

series0.0ms (0%)

rewrite47.0ms (1.6%)

simplify46.0ms (1.5%)

eval29.0ms (1%)

prune19.0ms (0.6%)

regimes21.0ms (0.7%)

regimes21.0ms (0.7%)

bsearch25.0ms (0.8%)

regimes19.0ms (0.6%)

bsearch25.0ms (0.8%)

regimes16.0ms (0.5%)

bsearch25.0ms (0.8%)

regimes15.0ms (0.5%)

bsearch0.0ms (0%)

regimes15.0ms (0.5%)

bsearch12.0ms (0.4%)

simplify8.0ms (0.3%)

soundness0.0ms (0%)

end51.0ms (1.7%)

Profiling