Details

analyze49.0ms (1.3%)

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)

sample859.0ms (22.6%)

Results

846.0ms	8256×	body	256	valid
0.0ms	5×	body	256	infinite

Bogosity

preprocess5.0ms (0.1%)

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 (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize66.0ms (1.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.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)

rewrite64.0ms (1.7%)

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)))))))

simplify78.0ms (2.1%)

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 (0.2%)

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

prune9.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Error

0.0b

Counts

35 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
▶	44.2b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	44.1b	(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
	10.9b	(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
▶	43.1b	(.f64 1/6 (.f64 x x))
	20.7b	-1/2

Compiler

Compiled 140 to 106 computations (24.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.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)

rewrite47.0ms (1.2%)

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))))))))

simplify38.0ms (1%)

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
✓	0.2b	(.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	@	0	(.f64 1/6 (.f64 x x))
0.0ms	x	@	inf	(.f64 1/6 (.f64 x x))
0.0ms	x	@	-inf	(.f64 1/6 (.f64 x x))

rewrite76.0ms (2%)

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))))))))

simplify39.0ms (1%)

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
✓	0.1b	(/.f64 6 (fma.f64 x x -3))
✓	0.1b	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)

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

rewrite66.0ms (1.7%)

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

Outputs

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

((#(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))))))))

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1576×	`associate-+l+`
722×	`times-frac`
706×	`associate-*r/`
626×	`associate-+r-`
588×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1464
1	316	1460
2	1158	1456
3	5849	1456

Stop Event

1×	node limit

Counts

76 → 86

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)
-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))))))
(-.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)))
(-.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))))

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))
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(fma.f64 -2/3 (*.f64 x x) -2)
(fma.f64 (*.f64 x x) -2/3 -2)
(fma.f64 x (*.f64 x -2/3) -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 (*.f64 x x) -2/3 -2))
(fma.f64 x (*.f64 x -2/3) (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 (.f64 x x) -2/3 (.f64 -2/27 (pow.f64 x 6)))))
(fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/27 (pow.f64 x 6) (fma.f64 x (*.f64 x -2/3) -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 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 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8))) (/.f64 54 (pow.f64 x 6))))
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 18 (pow.f64 x 4)) (/.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 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 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8))) (/.f64 54 (pow.f64 x 6))))
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 162 (pow.f64 x 8)))))
(-.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))
(-.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)))
(sqrt.f64 (pow.f64 (*.f64 1/6 (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))

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
✓	0.1b	(*.f64 (fma.f64 x x -3) 1/6)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)

Compiler

Compiled 31 to 22 computations (29% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	243	49
2	2408	49

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 (*.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 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)) 1/2)))) (#(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)))))))

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

simplify129.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-*r/`
1068×	`fma-def`
1038×	`associate-*l/`
730×	`*-commutative`
594×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	4154
1	520	2562
2	2135	2444
3	6582	2420

Stop Event

1×	node limit

Counts

106 → 138

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))
-1/2
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 4))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 4)))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 x 4)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.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 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))
(fma.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x)) (fma.f64 -3 (pow.f64 (sqrt.f64 1/6) 2) (fma.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x) (.f64 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x)) 9/4))))
(+.f64 (/.f64 -3/8 (.f64 x x)) (+.f64 (/.f64 3/8 (.f64 x x)) (fma.f64 1/6 (*.f64 x x) -1/2)))
(fma.f64 1/6 (fma.f64 x x -3) (.f64 (/.f64 1/6 (.f64 x x)) 0))
(fma.f64 1/6 (fma.f64 x x -3) (/.f64 0 (*.f64 x x)))
(+.f64 (.f64 -27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))))
(fma.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x)) (fma.f64 -3 (pow.f64 (sqrt.f64 1/6) 2) (fma.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x) (.f64 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x)) 9/4))))
(+.f64 (/.f64 -3/8 (.f64 x x)) (+.f64 (/.f64 3/8 (.f64 x x)) (fma.f64 1/6 (*.f64 x x) -1/2)))
(fma.f64 1/6 (fma.f64 x x -3) (.f64 (/.f64 1/6 (.f64 x x)) 0))
(fma.f64 1/6 (fma.f64 x x -3) (/.f64 0 (*.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 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))
(fma.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x)) (fma.f64 -3 (pow.f64 (sqrt.f64 1/6) 2) (fma.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x) (.f64 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x)) 9/4))))
(+.f64 (/.f64 -3/8 (.f64 x x)) (+.f64 (/.f64 3/8 (.f64 x x)) (fma.f64 1/6 (*.f64 x x) -1/2)))
(fma.f64 1/6 (fma.f64 x x -3) (.f64 (/.f64 1/6 (.f64 x x)) 0))
(fma.f64 1/6 (fma.f64 x x -3) (/.f64 0 (*.f64 x x)))
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(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 x x -3))))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3))))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (.f64 (sqrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))) 4))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))) 4))
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 2))
(fabs.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)) 1/2)
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 2))
(fabs.f64 (*.f64 1/6 (fma.f64 x x -3)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 2))
(fabs.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(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)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))) 1)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(.f64 1 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/4) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 1/6))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (fabs.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (sqrt.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(.f64 (fabs.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (sqrt.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/2)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/4) 2)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3)
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3/2))
(cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1/2))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 1))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(sqrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2))

localize38.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 x x -3))
✓	0.1b	(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
✓	0.1b	(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)

Compiler

Compiled 33 to 22 computations (33.3% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite63.0ms (1.7%)

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	47
1	218	47
2	2442	47

Stop Event

1×	node limit

Counts

3 → 49

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

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)))))))

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

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-/l*`
1044×	`associate-/r*`
826×	`associate-*r/`
792×	`unswap-sqr`
638×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	1867
1	463	1817
2	1455	1795
3	5230	1795

Stop Event

1×	node limit

Counts

85 → 138

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

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 1/12 (/.f64 x (/.f64 (sqrt.f64 -3) x)) (*.f64 1/6 (sqrt.f64 -3)))
(fma.f64 1/6 (sqrt.f64 -3) (.f64 (/.f64 1/12 (sqrt.f64 -3)) (.f64 x 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 1/12 (/.f64 x (/.f64 (sqrt.f64 -3) x)) (.f64 1/6 (sqrt.f64 -3))) (.f64 1/144 (/.f64 (pow.f64 x 4) (sqrt.f64 -3))))
(fma.f64 1/144 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)) (fma.f64 1/6 (sqrt.f64 -3) (.f64 (/.f64 1/12 (sqrt.f64 -3)) (.f64 x x))))
(fma.f64 1/12 (.f64 (/.f64 x (sqrt.f64 -3)) x) (fma.f64 1/6 (sqrt.f64 -3) (.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)))))
(fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (+.f64 (fma.f64 1/12 (/.f64 x (/.f64 (sqrt.f64 -3) x)) (.f64 1/6 (sqrt.f64 -3))) (.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 1/144 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)) (fma.f64 1/6 (sqrt.f64 -3) (.f64 (/.f64 1/12 (sqrt.f64 -3)) (.f64 x x)))))
(fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 1/12 (.f64 (/.f64 x (sqrt.f64 -3)) x) (fma.f64 1/6 (sqrt.f64 -3) (.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)))
(fma.f64 1/6 x (-.f64 (/.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 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/32 (pow.f64 x 5))) (*.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 9/32 (pow.f64 x 5)) (fma.f64 x -1/6 (/.f64 1/4 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 (*.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)
(sqrt.f64 -3)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -3)) (sqrt.f64 -3))
(fma.f64 (/.f64 x (/.f64 (sqrt.f64 -3) x)) 1/2 (sqrt.f64 -3))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 -3)) x) 1/2 (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -3)) (sqrt.f64 -3)) (/.f64 (.f64 -1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3)))
(+.f64 (fma.f64 (/.f64 x (/.f64 (sqrt.f64 -3) x)) 1/2 (sqrt.f64 -3)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (sqrt.f64 -3))))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 -3)) x) 1/2 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (sqrt.f64 -3) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))))))
(fma.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (+.f64 (sqrt.f64 -3) (/.f64 (.f64 -1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3)))))
(fma.f64 (/.f64 x (/.f64 (sqrt.f64 -3) x)) 1/2 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (sqrt.f64 -3))) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) 1/16 (sqrt.f64 -3))))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 -3)) x) 1/2 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) 1/16 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)) (sqrt.f64 -3))))
x
(-.f64 x (*.f64 3/2 (/.f64 1 x)))
(-.f64 x (/.f64 3/2 x))
(+.f64 x (/.f64 -3/2 x))
(-.f64 x (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 9/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 3/2 x) (/.f64 9/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 -3/2 x)) (/.f64 9/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (/.f64 -3/2 x) (/.f64 -9/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (*.f64 27/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 x (+.f64 (/.f64 3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 5)))))
(-.f64 (+.f64 x (/.f64 -3/2 x)) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 5))))
(+.f64 x (-.f64 (/.f64 -3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 5)))))
(+.f64 x (+.f64 (/.f64 -9/8 (pow.f64 x 3)) (-.f64 (/.f64 -3/2 x) (/.f64 27/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 3/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 3/2 x))
(-.f64 (/.f64 3/2 x) x)
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 3/2 x) (-.f64 (/.f64 9/8 (pow.f64 x 3)) x))
(-.f64 (-.f64 (/.f64 3/2 x) x) (/.f64 -9/8 (pow.f64 x 3)))
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 27/16 (/.f64 1 (pow.f64 x 5))) (.f64 -1 x))))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (+.f64 (/.f64 27/16 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (-.f64 (/.f64 27/16 (pow.f64 x 5)) x)))
(+.f64 (/.f64 3/2 x) (-.f64 (/.f64 9/8 (pow.f64 x 3)) (-.f64 x (/.f64 27/16 (pow.f64 x 5)))))
(-.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)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -3)))) 1)
(sqrt.f64 (fma.f64 x x -3))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1)
(sqrt.f64 (fma.f64 x x -3))
(*.f64 1 (sqrt.f64 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 x x -3))
(*.f64 (pow.f64 (fma.f64 x x -3) 1/4) (pow.f64 (fma.f64 x x -3) 1/4))
(sqrt.f64 (fma.f64 x x -3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (cbrt.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))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 x x -3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -3))))
(pow.f64 (fma.f64 x x -3) 1/2)
(sqrt.f64 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (fma.f64 x x -3)) 1)
(sqrt.f64 (fma.f64 x x -3))
(pow.f64 (pow.f64 (fma.f64 x x -3) 1/4) 2)
(sqrt.f64 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))) 3)
(sqrt.f64 (fma.f64 x x -3))
(pow.f64 (pow.f64 (fma.f64 x x -3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 x x -3))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -3))))
(sqrt.f64 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -3)))))
(sqrt.f64 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -3))))
(sqrt.f64 (fma.f64 x x -3))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -3))))
(sqrt.f64 (fma.f64 x x -3))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1/2))
(sqrt.f64 (fma.f64 x x -3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -3))) 1))
(sqrt.f64 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -3))))
(sqrt.f64 (fma.f64 x x -3))

eval178.0ms (4.7%)

Compiler: Compiled 7436 to 5830 computations (21.6% saved)

prune67.0ms (1.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	446	6	452
Fresh	1	1	2
Picked	1	0	1
Done	2	3	5
Total	450	10	460

Error

Counts

460 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.1b	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
	0.2b	(pow.f64 (*.f64 (/.f64 1 (fma.f64 x x -3)) 6) -1)
▶	43.1b	(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	0.1b	(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
✓	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	43.1b	(.f64 x (.f64 1/6 x))
✓	43.1b	(.f64 1/6 (.f64 x x))
▶	53.7b	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
	20.7b	-1/2

Compiler

Compiled 120 to 94 computations (21.7% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`add-sqr-sqrt`
1800×	`*-un-lft-identity`
1690×	`add-cube-cbrt`
1676×	`add-cbrt-cube`
186×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	208	30
2	2381	30

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

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

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1428×	`associate-/r/`
1388×	`associate-/l/`
1130×	`associate-+r+`
962×	`associate-+l+`
868×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1384
1	338	1368
2	1131	1364
3	4407	1364

Stop Event

1×	node limit

Counts

74 → 83

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)
-1/3
(-.f64 (*.f64 -1/9 (pow.f64 x 2)) 1/3)
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (.f64 -1/27 (pow.f64 x 4))) 1/3)
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 -1/81 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 4)))) 1/3)
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 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 1/6 (fma.f64 x x -3)))) 1)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 1/6 (fma.f64 x x -3)))
(.f64 (.f64 1/6 (fma.f64 x x -3)) 1)
(.f64 (sqrt.f64 (.f64 1/6 (fma.f64 x x -3))) (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2))
(.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 (fma.f64 x x -3) 1/6)
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(*.f64 -1/6 (/.f64 1 (/.f64 -1 (fma.f64 x x -3))))
(.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)))
(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 1 (*.f64 1/6 (fma.f64 x x -3))) -1)
(sqrt.f64 (pow.f64 (*.f64 1/6 (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 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))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (fma.f64 x x -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (fma.f64 x x -3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -3)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x x -3)))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 1)
(*.f64 (pow.f64 (fma.f64 x x -3) -1/2) (pow.f64 (fma.f64 x x -3) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -3))))
(*.f64 -1 (/.f64 -1 (fma.f64 x x -3)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -3)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -3)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) -1))
(pow.f64 (/.f64 1 (fma.f64 x x -3)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -3) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -3))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) 3) 1/3)
(pow.f64 (fma.f64 x x -3) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -3) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x -3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -3))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x -3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (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 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))
-1/3
(-.f64 (*.f64 -1/9 (pow.f64 x 2)) 1/3)
(fma.f64 -1/9 (*.f64 x x) -1/3)
(fma.f64 (*.f64 x x) -1/9 -1/3)
(fma.f64 x (*.f64 x -1/9) -1/3)
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (.f64 -1/27 (pow.f64 x 4))) 1/3)
(+.f64 (fma.f64 -1/9 (.f64 x x) (.f64 -1/27 (pow.f64 x 4))) -1/3)
(fma.f64 (*.f64 x x) -1/9 (fma.f64 -1/27 (pow.f64 x 4) -1/3))
(fma.f64 x (*.f64 x -1/9) (fma.f64 -1/27 (pow.f64 x 4) -1/3))
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 -1/81 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 4)))) 1/3)
(+.f64 (fma.f64 -1/9 (.f64 x x) (fma.f64 -1/81 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 4)))) -1/3)
(+.f64 (fma.f64 -1/27 (pow.f64 x 4) (.f64 -1/81 (pow.f64 x 6))) (fma.f64 (.f64 x x) -1/9 -1/3))
(fma.f64 x (*.f64 x -1/9) (fma.f64 -1/27 (pow.f64 x 4) (fma.f64 -1/81 (pow.f64 x 6) -1/3)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6)))) (/.f64 27 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 27 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))) (/.f64 9 (pow.f64 x 6)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 27 (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6)))) (/.f64 27 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 27 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))) (/.f64 9 (pow.f64 x 6)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 27 (pow.f64 x 8)))))
(+.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 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 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.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 (.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 (.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 (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 (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 (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 (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 -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))
(.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))
(pow.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))
(pow.f64 (sqrt.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))
(pow.f64 (cbrt.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))
(pow.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (/.f64 1 (*.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))
(sqrt.f64 (pow.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))
(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 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))
(exp.f64 (.f64 (log.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))
(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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -3)))) 1)
(/.f64 1 (fma.f64 x x -3))
(*.f64 1 (/.f64 1 (fma.f64 x x -3)))
(/.f64 1 (fma.f64 x x -3))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 1)
(/.f64 1 (fma.f64 x x -3))
(*.f64 (pow.f64 (fma.f64 x x -3) -1/2) (pow.f64 (fma.f64 x x -3) -1/2))
(/.f64 1 (fma.f64 x x -3))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) 1) (cbrt.f64 (fma.f64 x x -3)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -3))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) 1) (cbrt.f64 (fma.f64 x x -3)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 -1 (/.f64 -1 (fma.f64 x x -3)))
(/.f64 1 (fma.f64 x x -3))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -3)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -3)) -1))
(/.f64 1 (fma.f64 x x -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) -1))
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (/.f64 1 (fma.f64 x x -3)) 1)
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (pow.f64 (fma.f64 x x -3) -1/2) 2)
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -3))) 3)
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) 3) 1/3)
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (fma.f64 x x -3) -1)
(/.f64 1 (fma.f64 x x -3))
(sqrt.f64 (pow.f64 (fma.f64 x x -3) -2))
(/.f64 1 (fma.f64 x x -3))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -3))))
(/.f64 1 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x -3)))))
(/.f64 1 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) 3))
(/.f64 1 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -3))))
(/.f64 1 (fma.f64 x x -3))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -3))))
(/.f64 1 (fma.f64 x x -3))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) -1))
(/.f64 1 (fma.f64 x x -3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x -3))) 1))
(/.f64 1 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -3))))
(/.f64 1 (fma.f64 x x -3))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 1/6 x))
✓	0.3b	(*.f64 1/6 x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite48.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`add-sqr-sqrt`
1086×	`*-un-lft-identity`
1030×	`pow1`
1012×	`add-cube-cbrt`
998×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	120	20
2	1372	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

((#(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 (sqrt.f64 (*.f64 1/6 (*.f64 x x))) 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 (pow.f64 (*.f64 1/6 (*.f64 x x)) 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 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))))))))

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1460×	`log-prod`
1412×	`associate-r`
1266×	`associate-l`
1058×	`associate-+l+`
976×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	508
1	138	442
2	536	376
3	4034	376

Stop Event

1×	node limit

Counts

34 → 27

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 x)) 1)
(pow.f64 (*.f64 1/6 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(sqrt.f64 (.f64 1/36 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(exp.f64 (log.f64 (*.f64 1/6 x)))
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(pow.f64 (sqrt.f64 (.f64 1/6 (.f64 x x))) 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 (pow.f64 (.f64 1/6 (.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) 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 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 1/6 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (*.f64 1/6 x) 1)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(sqrt.f64 (.f64 1/36 (.f64 x x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(log.f64 (pow.f64 (exp.f64 1/6) x))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 1/6 x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (sqrt.f64 (.f64 1/6 (.f64 x x))) 2)
(.f64 1/6 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(.f64 1/6 (.f64 x x))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) 1/3)
(.f64 1/6 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 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))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(.f64 1/6 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 6 (*.f64 x x))
✓	0.8b	(pow.f64 (/.f64 6 (*.f64 x x)) -1)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

76 → 68

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/36 (pow.f64 x 4))
✓	20.7b	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 1/36 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 1/36 (pow.f64 x 4))
0.0ms	x	@	0	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.0ms	x	@	-inf	(*.f64 1/36 (pow.f64 x 4))

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`add-sqr-sqrt`
1496×	`*-un-lft-identity`
1406×	`add-cube-cbrt`
1396×	`add-cbrt-cube`
1378×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	185	26
2	2031	26

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

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 (*.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 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)))) (#(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 (sqrt.f64 1/6) x) 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 1/36 (pow.f64 x 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/6 (*.f64 x x)))))) (#(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 1/36 (pow.f64 x 4)) 3/2))))) (#(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 1/36 (pow.f64 x 4))) 1/2))))) (#(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 1/36 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 x 4))))))))

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1498×	`distribute-lft-in`
1460×	`distribute-rgt-in`
1244×	`fma-def`
592×	`associate--l+`
526×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	887
1	211	809
2	704	731
3	2411	731
4	7359	731

Stop Event

1×	node limit

Counts

51 → 44

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)
(.f64 (.f64 1/6 (*.f64 x x)) 1)
(.f64 1 (.f64 1/6 (*.f64 x x)))
(.f64 (.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(.f64 1/6 (.f64 x x))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 1/6 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (.f64 x x) 1/6)
(.f64 (.f64 x x) (pow.f64 1/36 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(.f64 (pow.f64 1/36 1/2) (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 1/6 (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2) 1/3)
(fabs.f64 (.f64 1/6 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2))
(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 1/36 (pow.f64 x 4))) 1/2))
(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 1/36 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1)
(pow.f64 (.f64 1/6 (.f64 x x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/36))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 1/36 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 x 4))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 1/6 (*.f64 x x)) 1)
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 1 (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 1/6 (.f64 x x))))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x x) 1/6)
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x x) (pow.f64 1/36 1/2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(.f64 (pow.f64 1/36 1/2) (.f64 x x))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2) 1/3)
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(fabs.f64 (.f64 1/6 (.f64 x x)))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 1/36 (pow.f64 x 4))) 1/2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/36 (pow.f64 x 4))) 1)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (.f64 1/6 (.f64 x x)) 2)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 3)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/36))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 1/36 (pow.f64 x 4))) 1))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sqrt.f64 1/6) x)
✓	0.3b	(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite52.0ms (1.4%)

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

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1330×	`distribute-lft-in`
1316×	`distribute-rgt-in`
974×	`associate-+r+`
900×	`associate-+l+`
870×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	1167
1	199	753
2	828	661
3	2324	661
4	7945	661

Stop Event

1×	node limit

Counts

49 → 44

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

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 (+.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 1/6 (.f64 x x))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 (sqrt.f64 1/6) (.f64 x (*.f64 (sqrt.f64 1/6) x)))
(.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 (sqrt.f64 1/6) x)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(.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 (sqrt.f64 1/6) x)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 1/6) x)))
(.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 (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 (sqrt.f64 1/6) x)) (.f64 (sqrt.f64 1/6) x)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 1/6 (.f64 x x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/6) x) 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 (sqrt.f64 1/6) x) (sqrt.f64 (.f64 (sqrt.f64 1/6) x))) (sqrt.f64 (*.f64 (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 (sqrt.f64 1/6) x) (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 (sqrt.f64 1/6) x) 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 (sqrt.f64 1/6) x) (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (.f64 (sqrt.f64 1/6) x)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 1/6 (.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 1/6 (.f64 x x))
(log.f64 (pow.f64 (exp.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 (sqrt.f64 1/6) x)) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (.f64 1/6 (.f64 x x)) 1/2)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) 2)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)) 3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(sqrt.f64 (.f64 1/6 (.f64 x x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(fabs.f64 (*.f64 (sqrt.f64 1/6) x))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/6)) x))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 3))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/6) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/6) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/6) x)) 1))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/6) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/6) x) 1))
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)

eval113.0ms (3%)

Compiler: Compiled 2609 to 1952 computations (25.2% saved)

prune72.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	263	3	266
Fresh	1	1	2
Picked	1	0	1
Done	5	2	7
Total	270	6	276

Error

Counts

276 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.1b	(/.f64 (*.f64 x x) 6)
▶	43.1b	(/.f64 x (/.f64 6 x))
▶	43.1b	(/.f64 1 (/.f64 6 (*.f64 x x)))
✓	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
✓	43.1b	(.f64 x (.f64 1/6 x))
	20.7b	-1/2

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 6 (*.f64 x x))
✓	0.8b	(/.f64 1 (/.f64 6 (*.f64 x x)))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite88.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

41 → 38

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 6 x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite94.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

51 → 48

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 x x) 6)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

37 → 29

Calls

Call 1

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

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

eval61.0ms (1.6%)

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

prune18.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	140	6	146

Error

Counts

146 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.1b	(/.f64 (*.f64 x x) 6)
✓	43.1b	(/.f64 x (/.f64 6 x))
✓	43.1b	(/.f64 1 (/.f64 6 (*.f64 x x)))
✓	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
✓	43.1b	(.f64 x (.f64 1/6 x))
	20.7b	-1/2

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes53.0ms (1.4%)

Counts

17 → 1

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(/.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(pow.f64 (*.f64 (/.f64 1 (fma.f64 x x -3)) 6) -1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))

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

Calls

4 calls:

8.0ms	x
5.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
3.0ms	(-.f64 (*.f64 x x) 3)

Results

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

Compiler

Compiled 147 to 101 computations (31.3% saved)

regimes37.0ms (1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	(*.f64 x x)
5.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(*.f64 x x)`

Compiler

Compiled 42 to 24 computations (42.9% saved)

regimes21.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.1b	3	`x`
1.1b	2	`(*.f64 x x)`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch27.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	0.32832017771961647	52.93500319161561
16.0ms	-7178942773.568433	-0.19206517917192828

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 182 to 145 computations (20.3% saved)

regimes42.0ms (1.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	(*.f64 x x)
10.0ms	x

Results

Error	Segments	Branch
1.1b	3	`x`
1.1b	2	`(*.f64 x x)`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.10779413909784054	2802.1145628963545

Compiler

Compiled 12 to 9 computations (25% saved)

regimes41.0ms (1.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.2b	3	`x`
1.2b	2	`(*.f64 x x)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch27.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.32832017771961647	52.93500319161561
15.0ms	-7178942773.568433	-0.19206517917192828

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 182 to 145 computations (20.3% saved)

regimes14.0ms (0.4%)

Accuracy

Total -61.4b remaining (-5183%)

Threshold costs -61.4b (-5183%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
1.2b	3	`x`
1.2b	2	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch13.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	0.10779413909784054	2802.1145628963545

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 76 to 65 computations (14.5% saved)

simplify20.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	187
1	44	187
2	46	187

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 -7/4) (/.f64 x (/.f64 6 x)) (if (<=.f64 x 7/4) -1/2 (/.f64 (*.f64 x x) 6)))
(if (<=.f64 (*.f64 x x) 3602879701896397/18014398509481984) -1/2 (/.f64 x (/.f64 6 x)))
(if (<=.f64 x -7/4) (.f64 x (.f64 1/6 x)) (if (<=.f64 x 7/4) -1/2 (.f64 1/6 (.f64 x x))))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 1/6 (*.f64 x x)))
-1/2

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (+.f64 (*.f64 x x) -3) 6)
(-.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 -7/4) (/.f64 x (/.f64 6 x)) (if (<=.f64 x 7/4) -1/2 (/.f64 (*.f64 x x) 6)))
(if (<=.f64 (*.f64 x x) 3602879701896397/18014398509481984) -1/2 (/.f64 x (/.f64 6 x)))
(if (<=.f64 x -7/4) (.f64 x (.f64 1/6 x)) (if (<=.f64 x 7/4) -1/2 (.f64 1/6 (.f64 x x))))
(if (<=.f64 x -7/4) (.f64 x (.f64 x 1/6)) (if (<=.f64 x 7/4) -1/2 (.f64 (.f64 x x) 1/6)))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 1/6 (*.f64 x x)))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 (*.f64 x x) 1/6))
-1/2

Compiler

Compiled 84 to 59 computations (29.8% saved)

soundness0.0ms (0%)

end48.0ms (1.3%)

Compiler: Compiled 78 to 48 computations (38.5% saved)