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)

sample837.0ms (28.7%)

Results

825.0ms	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)

simplify13.0ms (0.5%)

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

0.17%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.17%	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.17%	(/.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)

rewrite56.0ms (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)))))))

simplify57.0ms (2%)

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))

eval8.0ms (0.3%)

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

prune9.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Error

0.01%

Counts

35 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.28%	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
▶	1.68%	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
✓	0.17%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	0.25%	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	62.68%	(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
▶	61.04%	(.f64 1/6 (.f64 x x))
	37.61%	-1/2

Compiler

Compiled 104 to 78 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4%	(.f64 (.f64 x x) 1/6)

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	@	0	(.f64 (.f64 x x) 1/6)
0.0ms	x	@	inf	(.f64 (.f64 x x) 1/6)
0.0ms	x	@	-inf	(.f64 (.f64 x x) 1/6)

rewrite52.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1056×	`*-un-lft-identity`
1004×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1407	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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 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 (.f64 1/36 (pow.f64 x 4)))))) (#(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))))))))

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 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 (*.f64 1/36 (pow.f64 x 4)))))) (#(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))))))))

simplify42.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1650×	`distribute-rgt-in`
1626×	`distribute-lft-in`
1316×	`log-prod`
916×	`associate-r`
810×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	91	299
2	360	299
3	2109	299

Stop Event

1×	node limit

Counts

23 → 13

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)
(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 (*.f64 1/36 (pow.f64 x 4)))
(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 (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))
(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 (*.f64 1/36 (pow.f64 x 4)))
(.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))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4%	(.f64 1/6 (.f64 x x))

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	@	inf	(.f64 1/6 (.f64 x x))
0.0ms	x	@	0	(.f64 1/6 (.f64 x x))
0.0ms	x	@	-inf	(.f64 1/6 (.f64 x x))

rewrite49.0ms (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 (1.4%)

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))

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.17%	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
✓	0.18%	(/.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	(/.f64 6 (fma.f64 x x -3))
0.0ms	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))

rewrite70.0ms (2.4%)

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)))))))

simplify66.0ms (2.3%)

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))

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.27%	(*.f64 (fma.f64 x x -3) 1/6)
✓	0.31%	(cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
✓	1.42%	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)

Compiler

Compiled 31 to 22 computations (29% saved)

series6.0ms (0.2%)

Counts

3 → 20

Calls

9 calls:

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

rewrite81.0ms (2.8%)

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)))))))

simplify77.0ms (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))

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.13%	(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
✓	0.17%	(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)

Compiler

Compiled 33 to 22 computations (33.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`add-sqr-sqrt`
1912×	`*-un-lft-identity`
1782×	`add-cube-cbrt`
1762×	`add-cbrt-cube`
204×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	218	34
2	2442	34

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(*.f64 (sqrt.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))

Outputs

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

((#(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 (*.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 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)))))))

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1432×	`associate-r`
1224×	`associate-l`
1012×	`associate-/r*`
836×	`associate-+r+`
832×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1056
1	290	1028
2	904	1014
3	5416	1014

Stop Event

1×	node limit

Counts

50 → 75

Calls

Call 1

Inputs
(*.f64 1/6 (sqrt.f64 -3))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (.f64 1/6 (sqrt.f64 -3)))
(+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (*.f64 1/6 (sqrt.f64 -3))))
(+.f64 (.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (.f64 1/6 (sqrt.f64 -3)))))
(*.f64 1/6 x)
(-.f64 (.f64 1/6 x) (.f64 1/4 (/.f64 1 x)))
(-.f64 (.f64 1/6 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 1/6 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 9/32 (/.f64 1 (pow.f64 x 5))) (.f64 3/16 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1/6 x)
(+.f64 (.f64 1/4 (/.f64 1 x)) (.f64 -1/6 x))
(+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/6 x)))
(+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 9/32 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 3))) (.f64 -1/6 x))))
-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 (sqrt.f64 (fma.f64 x x -3)) 1/6))) 1)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3) 1/3)
(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (fma.f64 x x -3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(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)
(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
(*.f64 1/6 (sqrt.f64 -3))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (.f64 1/6 (sqrt.f64 -3)))
(fma.f64 1/12 (/.f64 (.f64 x x) (sqrt.f64 -3)) (.f64 1/6 (sqrt.f64 -3)))
(fma.f64 1/6 (sqrt.f64 -3) (/.f64 (.f64 (.f64 1/12 x) x) (sqrt.f64 -3)))
(fma.f64 1/6 (sqrt.f64 -3) (/.f64 (*.f64 1/12 x) (/.f64 (sqrt.f64 -3) x)))
(+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (*.f64 1/6 (sqrt.f64 -3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 1/12 (/.f64 (.f64 x x) (sqrt.f64 -3)) (.f64 1/6 (sqrt.f64 -3))))
(+.f64 (fma.f64 1/6 (sqrt.f64 -3) (/.f64 (.f64 (.f64 1/12 x) x) (sqrt.f64 -3))) (*.f64 1/144 (/.f64 (pow.f64 x 4) (sqrt.f64 -3))))
(fma.f64 1/6 (sqrt.f64 -3) (fma.f64 1/12 (*.f64 (/.f64 x (sqrt.f64 -3)) x) (/.f64 (/.f64 (pow.f64 x 4) 144) (sqrt.f64 -3))))
(fma.f64 1/6 (sqrt.f64 -3) (fma.f64 1/12 (.f64 (/.f64 x (sqrt.f64 -3)) x) (.f64 (/.f64 1/144 (sqrt.f64 -3)) (pow.f64 x 4))))
(+.f64 (.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (.f64 1/6 (sqrt.f64 -3)))))
(fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 1/12 (/.f64 (.f64 x x) (sqrt.f64 -3)) (.f64 1/6 (sqrt.f64 -3)))))
(+.f64 (fma.f64 1/6 (sqrt.f64 -3) (/.f64 (.f64 (.f64 1/12 x) x) (sqrt.f64 -3))) (fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/144 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)))))
(fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 1/6 (sqrt.f64 -3) (fma.f64 1/12 (*.f64 (/.f64 x (sqrt.f64 -3)) x) (/.f64 (/.f64 (pow.f64 x 4) 144) (sqrt.f64 -3)))))
(fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 1/6 (sqrt.f64 -3) (fma.f64 1/12 (.f64 (/.f64 x (sqrt.f64 -3)) x) (.f64 (/.f64 1/144 (sqrt.f64 -3)) (pow.f64 x 4)))))
(*.f64 1/6 x)
(-.f64 (.f64 1/6 x) (.f64 1/4 (/.f64 1 x)))
(-.f64 (*.f64 1/6 x) (/.f64 1/4 x))
(fma.f64 1/6 x (/.f64 -1/4 x))
(-.f64 (.f64 1/6 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 1/6 x) (+.f64 (/.f64 1/4 x) (/.f64 3/16 (pow.f64 x 3))))
(-.f64 (fma.f64 1/6 x (/.f64 -1/4 x)) (/.f64 3/16 (pow.f64 x 3)))
(+.f64 (fma.f64 1/6 x (/.f64 -1/4 x)) (/.f64 -3/16 (pow.f64 x 3)))
(-.f64 (.f64 1/6 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 9/32 (/.f64 1 (pow.f64 x 5))) (.f64 3/16 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (*.f64 1/6 x) (+.f64 (/.f64 1/4 x) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/32 (pow.f64 x 5)))))
(-.f64 (fma.f64 1/6 x (/.f64 -1/4 x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/32 (pow.f64 x 5))))
(+.f64 (fma.f64 1/6 x (/.f64 -1/4 x)) (-.f64 (/.f64 -3/16 (pow.f64 x 3)) (/.f64 9/32 (pow.f64 x 5))))
(*.f64 -1/6 x)
(*.f64 x -1/6)
(+.f64 (.f64 1/4 (/.f64 1 x)) (.f64 -1/6 x))
(+.f64 (/.f64 1/4 x) (*.f64 x -1/6))
(fma.f64 x -1/6 (/.f64 1/4 x))
(+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/6 x)))
(+.f64 (/.f64 1/4 x) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (*.f64 x -1/6)))
(+.f64 (/.f64 3/16 (pow.f64 x 3)) (fma.f64 x -1/6 (/.f64 1/4 x)))
(+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 9/32 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 3))) (.f64 -1/6 x))))
(+.f64 (/.f64 1/4 x) (+.f64 (/.f64 9/32 (pow.f64 x 5)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (*.f64 x -1/6))))
(+.f64 (/.f64 9/32 (pow.f64 x 5)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (fma.f64 x -1/6 (/.f64 1/4 x))))
(+.f64 (/.f64 3/16 (pow.f64 x 3)) (+.f64 (/.f64 1/4 x) (fma.f64 x -1/6 (/.f64 9/32 (pow.f64 x 5)))))
-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))
(fma.f64 x (*.f64 1/6 x) -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))
(fma.f64 x (*.f64 1/6 x) -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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(*.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))
(fma.f64 x (*.f64 1/6 x) -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))
(fma.f64 x (*.f64 1/6 x) -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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(*.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))
(fma.f64 x (*.f64 1/6 x) -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))
(fma.f64 x (*.f64 1/6 x) -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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))) 1)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 1)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 2)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 3)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3) 1/3)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (fma.f64 x x -3))))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 1))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(*.f64 1/6 (sqrt.f64 (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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(fabs.f64 (fma.f64 x (*.f64 1/6 x) -1/2))
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)
(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))
(fma.f64 x (*.f64 1/6 x) -1/2)

eval101.0ms (3.5%)

Compiler: Compiled 4460 to 3587 computations (19.6% saved)

prune35.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	281	4	285
Fresh	0	1	1
Picked	1	0	1
Done	2	3	5
Total	284	8	292

Error

Counts

292 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.11%	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
▶	61.48%	(pow.f64 (cbrt.f64 (.f64 x (.f64 1/6 x))) 3)
✓	0.17%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	62.64%	(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
✓	0.25%	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	60.98%	(.f64 x (.f64 x 1/6))
✓	61.04%	(.f64 1/6 (.f64 x x))
	37.61%	-1/2

Compiler

Compiled 60 to 45 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.21%	(.f64 x (.f64 x 1/6))
✓	0.48%	(*.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	@	inf	(.f64 x (.f64 x 1/6))
0.0ms	x	@	0	(.f64 x (.f64 x 1/6))

rewrite54.0ms (1.9%)

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))))))))

simplify41.0ms (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))

localize14.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.14%	(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

0.0ms

inf

(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

0.0ms

-inf

(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

rewrite65.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`associate-/r*`
1086×	`associate-*r/`
938×	`*-commutative`
770×	`associate-/l*`
712×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	230	15
2	2802	15

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

Outputs

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

simplify74.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1686×	`associate-+r+`
872×	`associate-+l+`
784×	`associate-/l*`
688×	`associate-*r/`
556×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2806
1	465	2742
2	1376	2738
3	5053	2738

Stop Event

1×	node limit

Counts

86 → 102

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

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

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(.f64 x (.f64 1/6 x))
✓	0.48%	(*.f64 1/6 x)
✓	0.74%	(pow.f64 (cbrt.f64 (.f64 x (.f64 1/6 x))) 3)
✓	31.41%	(cbrt.f64 (.f64 x (.f64 1/6 x)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

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

rewrite68.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1592×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1486×	`add-cbrt-cube`
170×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	206	50
2	2122	50

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

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

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

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

822×	`distribute-lft-in`
798×	`distribute-rgt-in`
746×	`*-commutative`
684×	`+-commutative`
596×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1480
1	331	1480
2	1632	1474
3	5345	1474

Stop Event

1×	node limit

Counts

98 → 91

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 x (sqrt.f64 1/6))
✓	0.54%	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1370×	`add-cube-cbrt`
1356×	`add-cbrt-cube`
1342×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	184	24
2	2011	24

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

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

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

simplify67.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1144×	`distribute-lft-in`
1138×	`distribute-rgt-in`
942×	`associate-+r+`
864×	`associate-+l+`
798×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	1131
1	193	801
2	818	793
3	2334	793
4	7871	793

Stop Event

1×	node limit

Counts

61 → 43

Calls

Call 1

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

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

eval77.0ms (2.6%)

Compiler: Compiled 3483 to 2582 computations (25.9% saved)

prune36.0ms (1.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	0	1	1
Picked	0	1	1
Done	1	5	6
Total	261	8	269

Error

Counts

269 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	61.11%	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
✓	61.48%	(pow.f64 (cbrt.f64 (.f64 x (.f64 1/6 x))) 3)
✓	0.17%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	0.25%	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	61.23%	(.f64 (.f64 x (cbrt.f64 (.f64 1/36 (.f64 x x)))) (cbrt.f64 (*.f64 x 1/6)))
✓	60.98%	(.f64 x (.f64 x 1/6))
✓	61.04%	(.f64 1/6 (.f64 x x))
	37.61%	-1/2

Compiler

Compiled 60 to 45 computations (25% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.46%	(.f64 (.f64 x (cbrt.f64 (.f64 1/36 (.f64 x x)))) (cbrt.f64 (*.f64 x 1/6)))
	0.48%	(*.f64 x 1/6)
✓	0.99%	(cbrt.f64 (*.f64 x 1/6))
✓	31.4%	(cbrt.f64 (.f64 1/36 (.f64 x x)))

Compiler

Compiled 46 to 26 computations (43.5% saved)

series12.0ms (0.4%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 (.f64 x (cbrt.f64 (.f64 1/36 (.f64 x x)))) (cbrt.f64 (*.f64 x 1/6)))
4.0ms	x	@	0	(.f64 (.f64 x (cbrt.f64 (.f64 1/36 (.f64 x x)))) (cbrt.f64 (*.f64 x 1/6)))
1.0ms	x	@	inf	(.f64 (.f64 x (cbrt.f64 (.f64 1/36 (.f64 x x)))) (cbrt.f64 (*.f64 x 1/6)))
0.0ms	x	@	0	(cbrt.f64 (.f64 1/36 (.f64 x x)))
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 x 1/6))

rewrite75.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`*-commutative`
966×	`sqrt-prod`
850×	`unswap-sqr`
698×	`swap-sqr`
430×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	256	41
2	3037	41

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(cbrt.f64 (.f64 1/36 (.f64 x x)))
(cbrt.f64 (*.f64 x 1/6))
(.f64 (.f64 x (cbrt.f64 (.f64 1/36 (.f64 x x)))) (cbrt.f64 (*.f64 x 1/6)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/6) 1/6) (pow.f64 (*.f64 x 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/6) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6)))) (sqrt.f64 (cbrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 1/6))) (sqrt.f64 (pow.f64 (*.f64 x 1/6) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x 1/6)) (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/6) 1/6)) (sqrt.f64 (sqrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1/6) (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1/6) (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 1/6))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 1/6)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 1/6)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x 1/6) 2) 1/12) (pow.f64 (pow.f64 (*.f64 x 1/6) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/36 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 4) 1/6))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 1/36 x) 1/6) (pow.f64 (*.f64 1/36 x) 1/6))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6)))) (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6)))) (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/6))))))))

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

simplify84.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1450×	`associate-+r+`
1352×	`associate-+l+`
960×	`*-commutative`
540×	`distribute-lft-in`
496×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	3459
1	568	3053
2	1956	2963
3	5425	2963

Stop Event

1×	node limit

Counts

125 → 169

Calls

Call 1

Inputs
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 -1 (.f64 (cbrt.f64 -1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 2))))
(.f64 -1 (.f64 (cbrt.f64 -1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 2))))
(.f64 -1 (.f64 (cbrt.f64 -1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 2))))
(.f64 -1 (.f64 (cbrt.f64 -1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 2))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (*.f64 x 1/6)))
(.f64 1 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2))
(.f64 (pow.f64 (.f64 x 1/6) 1/6) (sqrt.f64 (*.f64 x 1/6)))
(.f64 (sqrt.f64 (.f64 x 1/6)) (pow.f64 (*.f64 x 1/6) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/6))) (.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 4))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 4) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/6))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 1/36 x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x 1/6)) (cbrt.f64 1/6)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (.f64 1/36 x) 1/6) (pow.f64 (.f64 1/36 x) 1/6)))
(.f64 (cbrt.f64 1/6) (cbrt.f64 (.f64 x (*.f64 x 1/6))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/36))
(.f64 (cbrt.f64 (.f64 x (*.f64 x 1/6))) (cbrt.f64 1/6))
(*.f64 (cbrt.f64 1/36) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (.f64 1/36 x)) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))
(.f64 (.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (cbrt.f64 (.f64 x 1/6)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))
(.f64 (.f64 (cbrt.f64 (*.f64 x 1/6)) (cbrt.f64 1/6)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 4) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))
(.f64 (.f64 (pow.f64 (.f64 1/36 x) 1/6) (pow.f64 (.f64 1/36 x) 1/6)) (cbrt.f64 x))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6) (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6)) (pow.f64 (.f64 x 1/6) 1/6)) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6) (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6)) (pow.f64 (*.f64 x 1/6) 1/6)))
(.f64 (.f64 (pow.f64 (.f64 x 1/6) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6) (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6))) (.f64 (pow.f64 (.f64 x 1/6) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6) (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) 3/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/6))) 4))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) (cbrt.f64 1/36))) (cbrt.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2))) 1))))
(pow.f64 (pow.f64 (*.f64 x 1/6) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1)
(pow.f64 (*.f64 x 1/6) 2/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)
(pow.f64 (pow.f64 (*.f64 x 1/6) 1/6) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 6)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 4))
(fabs.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 2/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6)))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6)))) 1)
(.f64 (cbrt.f64 (.f64 x 1/6)) 1)
(.f64 (cbrt.f64 (.f64 x 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 1 (cbrt.f64 (.f64 x 1/6)))
(.f64 (pow.f64 (.f64 x 1/6) 1/6) (pow.f64 (*.f64 x 1/6) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/6))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/6))
(*.f64 (cbrt.f64 1/6) (cbrt.f64 x))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (*.f64 x 1/6)))) (sqrt.f64 (cbrt.f64 1/6)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x 1/6))) (sqrt.f64 (pow.f64 (*.f64 x 1/6) 1/6)))
(.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (.f64 (cbrt.f64 (*.f64 x 1/6)) (cbrt.f64 1/6))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x 1/6) 1/6)) (sqrt.f64 (sqrt.f64 (*.f64 x 1/6))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 x 1/6)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6) (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6)) (.f64 (pow.f64 (sqrt.f64 (.f64 x 1/6)) 1/6) (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1/6)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 1/6))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 1/6))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 1/6)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 1/6)) (cbrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (pow.f64 (.f64 x 1/6) 2) 1/12) (pow.f64 (pow.f64 (*.f64 x 1/6) 2) 1/12))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/6))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 3/2))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (*.f64 x 1/6)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/36 x))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (*.f64 x 1/6)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 4) 1/6))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 1/36 x) 1/6) (pow.f64 (.f64 1/36 x) 1/6))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) 1))))
(pow.f64 (pow.f64 (*.f64 x 1/6) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/2)
(pow.f64 (*.f64 x 1/6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 1)
(pow.f64 (pow.f64 (*.f64 x 1/6) 1/6) 2)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))
(fabs.f64 (cbrt.f64 (*.f64 x 1/6)))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6))))))
(fabs.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/6))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/6)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/6))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/6))))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (*.f64 x 1/6)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1))))
(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)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2))
(fabs.f64 (.f64 x (.f64 x 1/6)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (.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 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (*.f64 x x)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (*.f64 x x)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (*.f64 x x)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (*.f64 x x)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (*.f64 x x)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (*.f64 x x)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (*.f64 x x)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 2)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (*.f64 x x)))
(.f64 -1 (.f64 (cbrt.f64 -1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 2))))
(neg.f64 (.f64 (.f64 (cbrt.f64 1/36) (*.f64 x x)) (cbrt.f64 -1/6)))
(.f64 (.f64 (cbrt.f64 1/36) (*.f64 x x)) (neg.f64 (cbrt.f64 -1/6)))
(.f64 (cbrt.f64 1/36) (.f64 (*.f64 x x) (neg.f64 (cbrt.f64 -1/6))))
(.f64 -1 (.f64 (cbrt.f64 -1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 2))))
(neg.f64 (.f64 (.f64 (cbrt.f64 1/36) (*.f64 x x)) (cbrt.f64 -1/6)))
(.f64 (.f64 (cbrt.f64 1/36) (*.f64 x x)) (neg.f64 (cbrt.f64 -1/6)))
(.f64 (cbrt.f64 1/36) (.f64 (*.f64 x x) (neg.f64 (cbrt.f64 -1/6))))
(.f64 -1 (.f64 (cbrt.f64 -1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 2))))
(neg.f64 (.f64 (.f64 (cbrt.f64 1/36) (*.f64 x x)) (cbrt.f64 -1/6)))
(.f64 (.f64 (cbrt.f64 1/36) (*.f64 x x)) (neg.f64 (cbrt.f64 -1/6)))
(.f64 (cbrt.f64 1/36) (.f64 (*.f64 x x) (neg.f64 (cbrt.f64 -1/6))))
(.f64 -1 (.f64 (cbrt.f64 -1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 2))))
(neg.f64 (.f64 (.f64 (cbrt.f64 1/36) (*.f64 x x)) (cbrt.f64 -1/6)))
(.f64 (.f64 (cbrt.f64 1/36) (*.f64 x x)) (neg.f64 (cbrt.f64 -1/6)))
(.f64 (cbrt.f64 1/36) (.f64 (*.f64 x x) (neg.f64 (cbrt.f64 -1/6))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))) -1)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2)
(.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (*.f64 x 1/6)))
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2)
(.f64 (pow.f64 (.f64 x 1/6) 1/6) (sqrt.f64 (*.f64 x 1/6)))
(.f64 (pow.f64 (.f64 1/6 x) 1/6) (sqrt.f64 (*.f64 1/6 x)))
(.f64 (sqrt.f64 (.f64 1/6 x)) (pow.f64 (*.f64 1/6 x) 1/6))
(.f64 (sqrt.f64 (.f64 x 1/6)) (pow.f64 (*.f64 x 1/6) 1/6))
(.f64 (pow.f64 (.f64 1/6 x) 1/6) (sqrt.f64 (*.f64 1/6 x)))
(.f64 (sqrt.f64 (.f64 1/6 x)) (pow.f64 (*.f64 1/6 x) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/6))) (.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/6 x)) 2)) (.f64 (cbrt.f64 (.f64 1/6 x)) (cbrt.f64 (cbrt.f64 (*.f64 1/6 x)))))
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(pow.f64 (pow.f64 (*.f64 1/6 x) 2) 1/6)
(pow.f64 (.f64 1/36 (.f64 x x)) 1/6)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/4))
(cbrt.f64 (*.f64 1/6 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/6))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 3/2))
(cbrt.f64 (*.f64 1/6 x))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (*.f64 x 1/6)))
(cbrt.f64 (*.f64 1/6 x))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6)))))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 1/6 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/6 x)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 x)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/6 x)) 2)) 5/2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 x)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/36 x))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 1/36 x))))
(.f64 (pow.f64 (.f64 1/36 x) 1/6) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (*.f64 x 1/6)))
(cbrt.f64 (*.f64 1/6 x))
(.f64 (sqrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 4) 1/6))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 x))) (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 4) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 4) 1/6))
(.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 1/36 x) 1/6) (pow.f64 (.f64 1/36 x) 1/6))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 1/36 x))))
(.f64 (pow.f64 (.f64 1/36 x) 1/6) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) 1))
(cbrt.f64 (*.f64 1/6 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/6)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 x))) (log1p.f64 (cbrt.f64 (.f64 1/6 x))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 x)))) (exp.f64 (.f64 2 (log1p.f64 (cbrt.f64 (.f64 1/6 x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (cbrt.f64 (.f64 1/6 x))))) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 x)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (cbrt.f64 (.f64 1/6 x)))))))
(pow.f64 (pow.f64 (*.f64 x 1/6) 2) 1/6)
(pow.f64 (pow.f64 (*.f64 1/6 x) 2) 1/6)
(pow.f64 (.f64 1/36 (.f64 x x)) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/2)
(cbrt.f64 (*.f64 1/6 x))
(pow.f64 (*.f64 x 1/6) 1/3)
(cbrt.f64 (*.f64 1/6 x))
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 1)
(cbrt.f64 (*.f64 1/6 x))
(pow.f64 (pow.f64 (*.f64 x 1/6) 1/6) 2)
(cbrt.f64 (*.f64 1/6 x))
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2/3)
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 1/6 x)) 1/6) (pow.f64 (sqrt.f64 (.f64 1/6 x)) 1/6)) (.f64 (pow.f64 (sqrt.f64 (.f64 1/6 x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 1/6)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/6 x))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 1/6) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 3)
(cbrt.f64 (*.f64 1/6 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2))
(cbrt.f64 (*.f64 1/6 x))
(fabs.f64 (cbrt.f64 (*.f64 x 1/6)))
(cbrt.f64 (*.f64 1/6 x))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6))))))
(cbrt.f64 (*.f64 1/6 x))
(fabs.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 1/6 x))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 1/6 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/6)))))
(cbrt.f64 (*.f64 1/6 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 1/6 x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 1/6 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 1/6 x))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) -1)
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1)
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (*.f64 x 1/6)))) 1))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 1/6 x)))) 3) -1) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 x (.f64 1/6 x))) (log1p.f64 (.f64 x (.f64 1/6 x))))) 1) (exp.f64 (log1p.f64 (.f64 x (.f64 1/6 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 x x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 x x)))) (exp.f64 (.f64 2 (log1p.f64 (.f64 1/6 (*.f64 x x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 1/6 (.f64 x x))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 x x)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 1/6 (*.f64 x x)))))))
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 1/6))) 2)
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(fabs.f64 (.f64 x (.f64 x 1/6)))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/6)))))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))

eval73.0ms (2.5%)

Compiler: Compiled 3591 to 2707 computations (24.6% saved)

prune25.0ms (0.9%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	181	8	189

Error

Counts

189 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	61.11%	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
✓	61.48%	(pow.f64 (cbrt.f64 (.f64 x (.f64 1/6 x))) 3)
✓	0.17%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	0.25%	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
✓	61.23%	(.f64 (.f64 x (cbrt.f64 (.f64 1/36 (.f64 x x)))) (cbrt.f64 (*.f64 x 1/6)))
✓	60.98%	(.f64 x (.f64 x 1/6))
✓	61.04%	(.f64 1/6 (.f64 x x))
	37.61%	-1/2

Compiler

Compiled 60 to 45 computations (25% saved)

regimes21.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
3.0ms	(-.f64 (*.f64 x x) 3)

Results

Error	Segments	Branch
0.17%	1	`x`
0.17%	1	`(/.f64 (-.f64 (*.f64 x x) 3) 6)`
0.17%	1	`(-.f64 (*.f64 x x) 3)`
0.17%	1	`(*.f64 x x)`

Compiler

Compiled 116 to 79 computations (31.9% saved)

regimes8.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.25%	1	`x`
0.25%	1	`(*.f64 x x)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes16.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
0.68%	3	`x`
0.68%	2	`(*.f64 x x)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.003812353611344266	327799647.7786055
17.0ms	-2837874421269201000.0	-1.703226214648801e-6

Results

28.0ms

336×

body

256

valid

Compiler

Compiled 222 to 177 computations (20.3% saved)

regimes14.0ms (0.5%)

Accuracy

Total -62.2b remaining (-13015.8%)

Threshold costs -62.2b (-13015.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
4.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.75%	3	`x`
0.75%	2	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.003812353611344266	327799647.7786055
17.0ms	-2837874421269201000.0	-1.703226214648801e-6

Results

28.0ms

336×

body

256

valid

Compiler

Compiled 222 to 177 computations (20.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	117
1	42	117
2	44	117

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 x (.f64 x 1/6)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 x (.f64 x 1/6))))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 1/6 (.f64 x x)) (if (<=.f64 x 7746191359077253/4503599627370496) -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)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(+.f64 -1/2 (.f64 (.f64 x x) 1/6))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 x (.f64 x 1/6)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 x (.f64 x 1/6))))
(if (or (<=.f64 x -7746191359077253/4503599627370496) (not (<=.f64 x 7746191359077253/4503599627370496))) (.f64 x (.f64 x 1/6)) -1/2)
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 1/6 (.f64 x x)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 1/6 (.f64 x x))))
(if (or (<=.f64 x -7746191359077253/4503599627370496) (not (<=.f64 x 7746191359077253/4503599627370496))) (.f64 (.f64 x x) 1/6) -1/2)
-1/2

Compiler

Compiled 50 to 38 computations (24% saved)

soundness0.0ms (0%)

end34.0ms (1.2%)

Compiler: Compiled 46 to 32 computations (30.4% saved)

Details

analyze3.0ms (0.1%)

sample837.0ms (28.7%)

preprocess14.0ms (0.5%)

simplify13.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite56.0ms (1.9%)

simplify57.0ms (2%)

eval8.0ms (0.3%)

prune9.0ms (0.3%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite52.0ms (1.8%)

simplify42.0ms (1.4%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite49.0ms (1.7%)

simplify40.0ms (1.4%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite70.0ms (2.4%)

simplify66.0ms (2.3%)

localize14.0ms (0.5%)

series6.0ms (0.2%)

rewrite81.0ms (2.8%)

simplify77.0ms (2.6%)

localize14.0ms (0.5%)

series2.0ms (0.1%)

rewrite75.0ms (2.6%)

simplify57.0ms (2%)

eval101.0ms (3.5%)

prune35.0ms (1.2%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (1.9%)

simplify41.0ms (1.4%)

localize14.0ms (0.5%)

series0.0ms (0%)

rewrite65.0ms (2.2%)

simplify74.0ms (2.5%)

localize12.0ms (0.4%)

series2.0ms (0.1%)

rewrite68.0ms (2.3%)

simplify72.0ms (2.5%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite57.0ms (1.9%)

simplify67.0ms (2.3%)

eval77.0ms (2.6%)

prune36.0ms (1.2%)

localize18.0ms (0.6%)

series12.0ms (0.4%)

rewrite75.0ms (2.6%)

simplify84.0ms (2.9%)

eval73.0ms (2.5%)

prune25.0ms (0.9%)

regimes21.0ms (0.7%)

regimes8.0ms (0.3%)

regimes16.0ms (0.5%)

bsearch32.0ms (1.1%)

regimes14.0ms (0.5%)

bsearch32.0ms (1.1%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end34.0ms (1.2%)

Profiling