Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample695.0ms (28.8%)

Results

682.0ms	8256×	body	256	valid
0.0ms	6×	body	256	infinite

Bogosity

preprocess15.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

3×	`fma-neg_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	21	8
3	24	8
4	26	8
5	27	8
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)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`fma-neg_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	21	8
3	24	8
4	26	8
5	27	8

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)

localize8.0ms (0.3%)

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)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
744×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	166	8
2	2033	8

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

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

Outputs

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

simplify37.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

577×	`log-prod_binary64`
469×	`associate-l_binary64`
436×	`fma-def_binary64`
417×	`associate-r_binary64`
258×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	287
1	146	287
2	475	287
3	3470	287

Stop Event

1×	node limit

Counts

37 → 30

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

eval7.0ms (0.3%)

Compiler: Compiled 262 to 195 computations (25.6% saved)

prune10.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	8	31

Error

Counts

31 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)
▶	0.1b	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
▶	1.1b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
	43.1b	(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
▶	42.3b	(.f64 1/6 (.f64 x x))
	21.1b	-1/2

Compiler

Compiled 118 to 88 computations (25.4% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
✓	0.2b	(/.f64 x (/.f64 6 x))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 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 (/.f64 x (/.f64 6 x)) 1/2)
0.0ms	x	@	0	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
0.0ms	x	@	-inf	(/.f64 x (/.f64 6 x))

rewrite50.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary64`
839×	`add-log-exp_binary64`
839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
825×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	167	15
2	2248	15

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (/.f64 6 x))) 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 6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) 2) (cbrt.f64 (/.f64 x (/.f64 6 x))))))) (#(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 (sqrt.f64 (/.f64 x (/.f64 6 x))) (sqrt.f64 (/.f64 x (/.f64 6 x))))))) (#(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 (neg.f64 x) (/.f64 1 (/.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (/.f64 x (/.f64 1 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 (sqrt.f64 x) 6) (/.f64 (sqrt.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 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 6 x)) 2)) (cbrt.f64 (/.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 1 (sqrt.f64 (/.f64 6 x))) (/.f64 x (sqrt.f64 (/.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 x 1) (.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x -6) (neg.f64 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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 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 pow.f64 (/.f64 x (/.f64 6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 6 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 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 6 x)) 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 6 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 6 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 6 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (/.f64 x (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 1/6) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 x 1/6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2) (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (+.f64 1/4 (.f64 (/.f64 x (/.f64 6 x)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4) (/.f64 1 (fma.f64 x (.f64 x 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (+.f64 1/4 (.f64 (/.f64 x (/.f64 6 x)) 1/2))) (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (.f64 x 1/6) 1/2) (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8) (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (+.f64 1/4 (.f64 (/.f64 x (/.f64 6 x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8) (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (-.f64 1/4 (.f64 (/.f64 x (/.f64 6 x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4) (fma.f64 x (.f64 x 1/6) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4) (-.f64 (/.f64 x (/.f64 6 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (+.f64 1/4 (.f64 (/.f64 x (/.f64 6 x)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4)) (neg.f64 (fma.f64 x (.f64 x 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 x 1/6) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x 1/6) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/6) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/6) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (/.f64 6 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) 2) (cbrt.f64 (/.f64 x (/.f64 6 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (/.f64 6 x))) (sqrt.f64 (/.f64 x (/.f64 6 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/6) x -1/2)))))

Outputs

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

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

simplify53.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-neg_binary64`
357×	`unswap-sqr_binary64`
346×	`associate-*l/_binary64`
338×	`fma-def_binary64`
283×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	1037
1	397	985
2	1400	970
3	7216	960

Stop Event

1×	node limit

Counts

94 → 87

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

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))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x 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 (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 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x 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 (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 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (+.f64 1 (/.f64 x (/.f64 6 x))) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 (/.f64 x (/.f64 6 x)) 1)
(.f64 1/6 (.f64 x x))
(*.f64 1 (/.f64 x (/.f64 6 x)))
(.f64 1/6 (.f64 x x))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) 2))
(.f64 1/6 (.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) 2) (cbrt.f64 (/.f64 x (/.f64 6 x))))
(.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 (sqrt.f64 (/.f64 x (/.f64 6 x))) (sqrt.f64 (/.f64 x (/.f64 6 x))))
(.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 (neg.f64 x) (/.f64 1 (/.f64 -6 x)))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x 1/6) x)
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (/.f64 x (/.f64 1 x)))
(.f64 1/6 (.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 6) (/.f64 (cbrt.f64 x) (/.f64 1 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 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 6 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 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 (pow.f64 (cbrt.f64 (/.f64 6 x)) 2) (cbrt.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 6 x))))
(.f64 (cbrt.f64 (.f64 (/.f64 x 6) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (/.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 (pow.f64 (cbrt.f64 (/.f64 6 x)) 2) (cbrt.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) (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 x 1) (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 (/.f64 x -6) (neg.f64 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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 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))
(pow.f64 (/.f64 x (/.f64 6 x)) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) 3)
(.f64 1/6 (.f64 x x))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 6 x))) 2)
(.f64 1/6 (.f64 x x))
(pow.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 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 6 x)) 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 6 x)) 3))
(.f64 1/6 (.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 6 x))))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 6 x))))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (/.f64 x (/.f64 6 x))))
(.f64 1/6 (.f64 x x))
(+.f64 (/.f64 x (/.f64 6 x)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(+.f64 -1/2 (/.f64 x (/.f64 6 x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (fma.f64 x (.f64 x 1/6) -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 1 (fma.f64 x (.f64 x 1/6) -1/2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (+.f64 1/4 (.f64 (/.f64 x (/.f64 6 x)) 1/2)))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 3) -1/8) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) (+.f64 1/4 (.f64 1/2 (*.f64 (/.f64 x 6) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 1/2 (.f64 1/6 (.f64 x x)) 1/4)))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (*.f64 1/12 x) x 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (.f64 1/12 x) x 1/4)))
(.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4) (/.f64 1 (fma.f64 x (.f64 x 1/6) 1/2)))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) -1/4) (/.f64 1 (fma.f64 x (*.f64 1/6 x) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (+.f64 1/4 (*.f64 (/.f64 x (/.f64 6 x)) 1/2))) (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8)))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 3) -1/8) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) (+.f64 1/4 (.f64 1/2 (*.f64 (/.f64 x 6) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 1/2 (.f64 1/6 (.f64 x x)) 1/4)))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (*.f64 1/12 x) x 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (.f64 1/12 x) x 1/4)))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/6) 1/2) (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4)))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) -1/4) (/.f64 1 (fma.f64 x (*.f64 1/6 x) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8) (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (+.f64 1/4 (*.f64 (/.f64 x (/.f64 6 x)) 1/2))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 3) -1/8) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) (+.f64 1/4 (.f64 1/2 (*.f64 (/.f64 x 6) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 1/2 (.f64 1/6 (.f64 x x)) 1/4)))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (*.f64 1/12 x) x 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (.f64 1/12 x) x 1/4)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8) (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (-.f64 1/4 (*.f64 (/.f64 x (/.f64 6 x)) -1/2))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 3) -1/8) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) (+.f64 1/4 (.f64 1/2 (*.f64 (/.f64 x 6) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 1/2 (.f64 1/6 (.f64 x x)) 1/4)))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (*.f64 1/12 x) x 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (.f64 1/12 x) x 1/4)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4) (fma.f64 x (*.f64 x 1/6) 1/2))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) -1/4) (/.f64 1 (fma.f64 x (*.f64 1/6 x) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4) (-.f64 (/.f64 x (/.f64 6 x)) -1/2))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) -1/4) (/.f64 1 (fma.f64 x (*.f64 1/6 x) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 3) -1/8)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) (+.f64 1/4 (*.f64 (/.f64 x (/.f64 6 x)) 1/2)))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 3) -1/8) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) (+.f64 1/4 (.f64 1/2 (*.f64 (/.f64 x 6) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 1/2 (.f64 1/6 (.f64 x x)) 1/4)))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (*.f64 1/12 x) x 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (fma.f64 (.f64 1/12 x) x 1/4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 6 x)) 2) -1/4)) (neg.f64 (fma.f64 x (*.f64 x 1/6) 1/2)))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x 6) x) 2) -1/4) (/.f64 1 (fma.f64 x (*.f64 1/6 x) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 1 (/.f64 x (/.f64 6 x)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 6 x))) 2) (cbrt.f64 (/.f64 x (/.f64 6 x))) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (sqrt.f64 (/.f64 x (/.f64 6 x))) (sqrt.f64 (/.f64 x (/.f64 6 x))) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x 1/6) x -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite35.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x 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 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(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 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(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 log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify38.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1079×	`log-prod_binary64`
420×	`associate-l_binary64`
379×	`associate-r_binary64`
322×	`associate-+l+_binary64`
306×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	101	206
2	359	191
3	3010	191
4	6278	191

Stop Event

1×	node limit

Counts

26 → 18

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)

Compiler

Compiled 13 to 7 computations (46.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite39.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
496×	`add-sqr-sqrt_binary64`
472×	`add-log-exp_binary64`
472×	`log1p-expm1-u_binary64`
472×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	122	8
2	1307	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify34.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

918×	`times-frac_binary64`
746×	`fma-def_binary64`
592×	`distribute-rgt-in_binary64`
408×	`associate-l_binary64`
343×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	308
1	141	287
2	554	284
3	3205	282

Stop Event

1×	node limit

Counts

33 → 35

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

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(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)
(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)
(fma.f64 x (*.f64 1/6 x) -1/2)
(*.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)
(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)
(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)
(fma.f64 x (*.f64 1/6 x) -1/2)
(*.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)
(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)
(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)
(fma.f64 x (*.f64 1/6 x) -1/2)
(+.f64 -1/2 (.f64 1/6 (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(+.f64 (.f64 (.f64 1/6 (*.f64 x x)) 1) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(-.f64 (+.f64 1 (fma.f64 1/6 (*.f64 x x) -1/2)) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(.f64 (fma.f64 1/6 (.f64 x x) -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(.f64 1 (fma.f64 1/6 (.f64 x x) -1/2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) -1/8) (+.f64 (.f64 (.f64 1/6 (.f64 x x)) (.f64 1/6 (.f64 x x))) (-.f64 1/4 (.f64 (.f64 1/6 (.f64 x x)) -1/2))))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (.f64 (.f64 x x) (.f64 x x))) (-.f64 1/4 (.f64 -1/2 (.f64 1/6 (*.f64 x x))))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) (-.f64 (fma.f64 1/36 (pow.f64 x 4) 1/4) (.f64 (*.f64 x x) -1/12)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (+.f64 (.f64 (.f64 x x) 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 1/12 x) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 x x)) (.f64 1/6 (.f64 x x))) 1/4) (-.f64 (.f64 1/6 (*.f64 x x)) -1/2))
(/.f64 (+.f64 (.f64 1/36 (.f64 (.f64 x x) (.f64 x x))) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 (*.f64 1/6 x) x 1/2))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 1/6 x) -1/2)

localize12.0ms (0.5%)

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)

series4.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
686×	`add-log-exp_binary64`
686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
673×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	170	16
2	1908	16

Stop Event

1×	node limit

Counts

2 → 48

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

simplify47.0ms (2%)

Algorithm

1×	egg-herbie

Rules

773×	`times-frac_binary64`
650×	`fma-def_binary64`
351×	`log-prod_binary64`
346×	`fma-neg_binary64`
267×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	853
1	303	791
2	981	729
3	6049	729

Stop Event

1×	node limit

Counts

72 → 85

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 (+.f64 1 (*.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 (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 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 (/.f64 1 (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 (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 -1/6 (neg.f64 (fma.f64 x x -3)))
(/.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 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (/.f64 6 (cbrt.f64 (fma.f64 x x -3))))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
(/.f64 (neg.f64 (fma.f64 x x -3)) -6)
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.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)))
(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)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(-.f64 (+.f64 1 (/.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 (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 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(*.f64 -6 (/.f64 1 (neg.f64 (fma.f64 x x -3))))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 6)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) -1)
(pow.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 3)
(pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)
(sqrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 2))
(log.f64 (exp.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))))
(log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 x x -3))))
(exp.f64 (log.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))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -2/9 -2/3) -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 x (*.f64 x -2/3) (fma.f64 -2/27 (pow.f64 x 6) -2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -2/9 -2/3) (fma.f64 -2/27 (pow.f64 x 6) -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 6 (*.f64 x x)))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 54 (pow.f64 x 6)) (/.f64 18 (pow.f64 x 4))) (/.f64 6 (*.f64 x x)))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 54 (pow.f64 x 6))))
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 18 (pow.f64 x 4)) (/.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 18 (pow.f64 x 4)) (+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 6 (*.f64 x x)) (/.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 54 (pow.f64 x 6)) (/.f64 18 (pow.f64 x 4))) (/.f64 6 (*.f64 x x)))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 54 (pow.f64 x 6))))
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 18 (pow.f64 x 4)) (/.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 18 (pow.f64 x 4)) (+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8)))))
(-.f64 (+.f64 1 (*.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 (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 (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 (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 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 (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 (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 -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 (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 (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 (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 (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 (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 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))
(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))
(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))
(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))
(-.f64 (+.f64 1 (/.f64 6 (fma.f64 x x -3))) 1)
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(*.f64 6 (/.f64 1 (fma.f64 x x -3)))
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(*.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.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 (/.f64 6 (fma.f64 x x -3)) 0)
(/.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 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.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 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.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 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(*.f64 -6 (/.f64 1 (neg.f64 (fma.f64 x x -3))))
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 6)
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) -1)
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 3)
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(sqrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 2))
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(log.f64 (exp.f64 (/.f64 6 (fma.f64 x x -3))))
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3))
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3))))
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 x x -3))))
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))
(exp.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))))
(+.f64 1 (-.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(+.f64 (/.f64 6 (fma.f64 x x -3)) 0)
(/.f64 6 (fma.f64 x x -3))

localize15.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (fma.f64 x x -3) 1/6)
✓	0.2b	(cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
✓	0.9b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)

Compiler

Compiled 31 to 22 computations (29% saved)

series10.0ms (0.4%)

Counts

3 → 20

Calls

9 calls:

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

rewrite49.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
647×	`add-log-exp_binary64`
647×	`log1p-expm1-u_binary64`
647×	`expm1-log1p-u_binary64`
634×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	189	26
2	1805	26

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

571×	`associate-/l/_binary64`
504×	`log-prod_binary64`
439×	`fma-def_binary64`
277×	`fma-neg_binary64`
254×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	1139
1	449	1070
2	1526	971
3	5455	968

Stop Event

1×	node limit

Counts

85 → 89

Calls

Call 1

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

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -3) (.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)))) (cbrt.f64 1/6))) 1/162) (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2))) 1/2)
(+.f64 (.f64 (fma.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 1/6) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)) -1/9)) -1/162) (pow.f64 x 4)) (fma.f64 1/6 (.f64 x x) -1/2))
(fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (.f64 -3 (cbrt.f64 -3))) (.f64 -1/9 (cbrt.f64 1/6))) -1/162) (pow.f64 x 4) (.f64 1/6 (fma.f64 x x -3)))
(fma.f64 1/6 (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 -1/9 (/.f64 1/6 (*.f64 -3 (cbrt.f64 -3)))) -1/162) (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -3) (.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)))) (cbrt.f64 1/6))) 1/162) (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 (cbrt.f64 -3) (.f64 (+.f64 (.f64 -2/27 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 7))) (.f64 10/81 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 7)))) (cbrt.f64 1/6))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)))) (cbrt.f64 1/6)) (pow.f64 (cbrt.f64 -3) 2)))) (.f64 1/486 (/.f64 1 (pow.f64 (cbrt.f64 -3) 6)))) (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 1/6) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)) -1/9)) -1/162) (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (.f64 (-.f64 (fma.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 1/6) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 7)) 4/81)) (.f64 1/3 (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 (cbrt.f64 -3) 4)) -1/9) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (cbrt.f64 1/6))))) (/.f64 1/486 (pow.f64 (cbrt.f64 -3) 6))) (pow.f64 x 6)))) -1/2)
(+.f64 -1/2 (fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (.f64 -3 (cbrt.f64 -3))) (.f64 -1/9 (cbrt.f64 1/6))) -1/162) (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (.f64 (fma.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 1/6) (/.f64 (.f64 (pow.f64 (cbrt.f64 1/6) 2) 4/81) (pow.f64 (cbrt.f64 -3) 7))) (fma.f64 1/3 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (.f64 -3 (cbrt.f64 -3))) -1/9) (pow.f64 (cbrt.f64 -3) 2)) (cbrt.f64 1/6)) -1/4374)) (pow.f64 x 6)))))
(fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 -1/9 (/.f64 1/6 (.f64 -3 (cbrt.f64 -3)))) -1/162) (pow.f64 x 4) (fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 4/81 (/.f64 1/6 (pow.f64 (cbrt.f64 -3) 7))) (fma.f64 1/3 (/.f64 (.f64 -1/9 (/.f64 1/6 (.f64 -3 (cbrt.f64 -3)))) (pow.f64 (cbrt.f64 -3) 2)) -1/4374)) (pow.f64 x 6) (.f64 1/6 (fma.f64 x x -3))))
(fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 -1/9 (/.f64 1/6 (.f64 -3 (cbrt.f64 -3)))) -1/162) (pow.f64 x 4) (fma.f64 (fma.f64 (cbrt.f64 -3) (.f64 4/81 (/.f64 1/6 (pow.f64 (cbrt.f64 -3) 7))) (fma.f64 1/3 (.f64 (cbrt.f64 1/6) (/.f64 (.f64 (pow.f64 (cbrt.f64 1/6) 2) -1/9) 9)) -1/4374)) (pow.f64 x 6) (.f64 1/6 (fma.f64 x x -3))))
(*.f64 (cbrt.f64 -3) (cbrt.f64 1/6))
(+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -3) 2))) (*.f64 (cbrt.f64 -3) (cbrt.f64 1/6)))
(fma.f64 1/3 (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 x x))) (.f64 (cbrt.f64 -3) (cbrt.f64 1/6)))
(fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (/.f64 (.f64 (.f64 1/3 (cbrt.f64 1/6)) (*.f64 x x)) (pow.f64 (cbrt.f64 -3) 2)))
(fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 -3) 2)) (.f64 (cbrt.f64 1/6) (*.f64 x x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -3) 5))) (*.f64 (cbrt.f64 -3) (cbrt.f64 1/6))))
(fma.f64 1/3 (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 x x))) (fma.f64 -1/9 (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 5) (pow.f64 x 4))) (.f64 (cbrt.f64 -3) (cbrt.f64 1/6))))
(fma.f64 1/3 (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 x x))) (fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (/.f64 (.f64 (*.f64 -1/9 (cbrt.f64 1/6)) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -3) 5))))
(fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -3) 5)) (cbrt.f64 1/6)) (.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 -3) 2)) (.f64 (cbrt.f64 1/6) (.f64 x x)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (cbrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -3) 5))) (+.f64 (.f64 (cbrt.f64 -3) (cbrt.f64 1/6)) (.f64 5/81 (/.f64 (*.f64 (cbrt.f64 1/6) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -3) 8))))))
(fma.f64 1/3 (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 x x))) (fma.f64 -1/9 (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 5) (pow.f64 x 4))) (fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (.f64 5/81 (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 8) (pow.f64 x 6)))))))
(fma.f64 1/3 (/.f64 (cbrt.f64 1/6) (/.f64 (pow.f64 (cbrt.f64 -3) 2) (.f64 x x))) (fma.f64 -1/9 (.f64 (/.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 -3) 5)) (pow.f64 x 4)) (fma.f64 5/81 (.f64 (/.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 -3) 8)) (pow.f64 x 6)) (.f64 (cbrt.f64 -3) (cbrt.f64 1/6)))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -3) 2)) (cbrt.f64 1/6)) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -3) 5)) (cbrt.f64 1/6)) (fma.f64 (cbrt.f64 -3) (cbrt.f64 1/6) (/.f64 (.f64 (pow.f64 x 6) (*.f64 (cbrt.f64 1/6) 5/81)) (pow.f64 (cbrt.f64 -3) 8)))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 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 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 1 (*.f64 (fma.f64 x x -3) 1/6)) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) (pow.f64 (cbrt.f64 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (.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 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 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 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (fma.f64 x x -3)) (.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))
(.f64 (cbrt.f64 (fma.f64 x x -3)) (.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2) (*.f64 (cbrt.f64 1/6) (cbrt.f64 (fma.f64 x x -3))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) (.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2) 3) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 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 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 1) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 1/6))
(.f64 (cbrt.f64 (fma.f64 x x -3)) (.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2) (*.f64 (cbrt.f64 1/6) (cbrt.f64 (fma.f64 x x -3))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6)) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (*.f64 1/36 (pow.f64 (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))
(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))
(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))
(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))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 1 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 1/6) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (cbrt.f64 1/6))
(*.f64 (cbrt.f64 1/6) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1/6) (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.f64 1/6 (fma.f64 x x -3)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 1))
(+.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 0)
(cbrt.f64 (*.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 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 1 (*.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 (*.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (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 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2) 3/2)
(pow.f64 (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))
(sqrt.f64 (*.f64 1/36 (pow.f64 (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))
(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))
(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))
(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))

eval109.0ms (4.5%)

Compiler: Compiled 4575 to 3567 computations (22% saved)

prune40.0ms (1.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	311	3	314
Fresh	1	1	2
Picked	1	0	1
Done	1	4	5
Total	314	8	322

Error

Counts

322 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)
▶	42.3b	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
▶	0.1b	(-.f64 (*.f64 (/.f64 x -6) (neg.f64 x)) 1/2)
▶	42.3b	(.f64 x (.f64 1/6 x))
✓	42.3b	(.f64 1/6 (.f64 x x))
	21.1b	-1/2

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 1/6 x))
✓	0.3b	(*.f64 1/6 x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

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))

rewrite38.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
432×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
413×	`add-log-exp_binary64`
413×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	101	11
2	1133	11

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))))) (#(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 (pow.f64 (*.f64 1/6 x) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 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 log1p.f64 (expm1.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 +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.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 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 1/6 (*.f64 x x))) 2)))) (#(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 (exp.f64 x) (*.f64 1/6 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 log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify42.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

596×	`log-prod_binary64`
457×	`fma-neg_binary64`
314×	`fma-def_binary64`
302×	`unswap-sqr_binary64`
252×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	300
1	162	283
2	609	256
3	2911	256
4	5858	256

Stop Event

1×	node limit

Counts

40 → 36

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

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (/.f64 x -6) (neg.f64 x)) 1/2)
✓	0.1b	(*.f64 (/.f64 x -6) (neg.f64 x))

Compiler

Compiled 23 to 14 computations (39.1% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite47.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`pow1_binary64`
774×	`add-log-exp_binary64`
773×	`log1p-expm1-u_binary64`
773×	`expm1-log1p-u_binary64`
763×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	189	15
2	2469	15

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 x -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x -1/6) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x -1/6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x -1/6) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x -1/6) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 x -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x -1/6) x) 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 (*.f64 x -1/6) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x -1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x -1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x -1/6) x)))))))

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

simplify44.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

923×	`fma-neg_binary64`
844×	`times-frac_binary64`
390×	`log-prod_binary64`
364×	`unswap-sqr_binary64`
292×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	817
1	256	762
2	944	762
3	4522	752

Stop Event

1×	node limit

Counts

73 → 65

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

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x 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 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x 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 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 0 (.f64 (.f64 x -1/6) x))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(-.f64 (+.f64 1 (.f64 (.f64 x -1/6) x)) 1)
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(/.f64 x (/.f64 -6 x))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(/.f64 1 (/.f64 -6 (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(/.f64 (*.f64 x x) -6)
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(/.f64 (*.f64 x x) 6)
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(pow.f64 (.f64 (.f64 x -1/6) x) 1)
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(pow.f64 (cbrt.f64 (.f64 (.f64 x -1/6) x)) 3)
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(pow.f64 (/.f64 x (sqrt.f64 -6)) 2)
(pow.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 3) 1/3)
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(neg.f64 (.f64 (.f64 x -1/6) x))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(sqrt.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/6)))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(cbrt.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 3))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(expm1.f64 (log1p.f64 (.f64 (.f64 x -1/6) x)))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(log1p.f64 (expm1.f64 (.f64 (.f64 x -1/6) x)))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(exp.f64 (log.f64 (.f64 (.f64 x -1/6) x)))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 x -6))
(+.f64 (.f64 (.f64 x -1/6) x) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(+.f64 -1/2 (.f64 (.f64 x -1/6) x))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (fma.f64 (.f64 x -1/6) x -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 1 (fma.f64 (.f64 x -1/6) x -1/2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (cbrt.f64 (fma.f64 (.f64 x -1/6) x -1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x -1/6) x -1/2)) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -1/6) x -1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 x -1/6) x -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (sqrt.f64 (fma.f64 (.f64 x -1/6) x -1/2)) (sqrt.f64 (fma.f64 (*.f64 x -1/6) x -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 3) -1/8) (/.f64 1 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2) 1/4) (.f64 (.f64 x -1/6) (.f64 x 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) 1) (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) (+.f64 1/4 (.f64 x (.f64 -1/6 (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) (fma.f64 x (.f64 -1/12 x) (+.f64 (pow.f64 (.f64 x (*.f64 x -1/6)) 2) 1/4)))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 x (/.f64 -6 x)) 3)) (+.f64 -1/4 (.f64 (/.f64 x (/.f64 -6 x)) (fma.f64 1/6 (.f64 x x) -1/2))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 1/4 (.f64 (*.f64 x (/.f64 x -6)) (fma.f64 x (/.f64 x -6) 1/2))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2) -1/4) (/.f64 1 (fma.f64 (.f64 x -1/6) x 1/2)))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (/.f64 1 (fma.f64 (.f64 x -1/6) x 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 -6 x)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 1/4 (pow.f64 (.f64 x (/.f64 x -6)) 2)) (fma.f64 1/6 (.f64 x x) -1/2))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2) 1/4) (.f64 (.f64 x -1/6) (.f64 x 1/2))) (+.f64 (pow.f64 (.f64 (*.f64 x -1/6) x) 3) -1/8)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) 1) (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) (+.f64 1/4 (.f64 x (.f64 -1/6 (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) (fma.f64 x (.f64 -1/12 x) (+.f64 (pow.f64 (.f64 x (*.f64 x -1/6)) 2) 1/4)))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 x (/.f64 -6 x)) 3)) (+.f64 -1/4 (.f64 (/.f64 x (/.f64 -6 x)) (fma.f64 1/6 (.f64 x x) -1/2))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 1/4 (.f64 (*.f64 x (/.f64 x -6)) (fma.f64 x (/.f64 x -6) 1/2))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x -1/6) x 1/2) (+.f64 (pow.f64 (.f64 (*.f64 x -1/6) x) 2) -1/4)))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (/.f64 1 (fma.f64 (.f64 x -1/6) x 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 -6 x)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 1/4 (pow.f64 (.f64 x (/.f64 x -6)) 2)) (fma.f64 1/6 (.f64 x x) -1/2))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 3) -1/8) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2) 1/4) (.f64 (.f64 x -1/6) (*.f64 x 1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) 1) (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) (+.f64 1/4 (.f64 x (.f64 -1/6 (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) (fma.f64 x (.f64 -1/12 x) (+.f64 (pow.f64 (.f64 x (*.f64 x -1/6)) 2) 1/4)))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 x (/.f64 -6 x)) 3)) (+.f64 -1/4 (.f64 (/.f64 x (/.f64 -6 x)) (fma.f64 1/6 (.f64 x x) -1/2))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 1/4 (.f64 (*.f64 x (/.f64 x -6)) (fma.f64 x (/.f64 x -6) 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 3) -1/8) (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2) (-.f64 1/4 (.f64 (.f64 (*.f64 x -1/6) x) -1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) 1) (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) (+.f64 1/4 (.f64 x (.f64 -1/6 (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) (fma.f64 x (.f64 -1/12 x) (+.f64 (pow.f64 (.f64 x (*.f64 x -1/6)) 2) 1/4)))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 x (/.f64 -6 x)) 3)) (+.f64 -1/4 (.f64 (/.f64 x (/.f64 -6 x)) (fma.f64 1/6 (.f64 x x) -1/2))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 1/4 (.f64 (*.f64 x (/.f64 x -6)) (fma.f64 x (/.f64 x -6) 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2) -1/4) (fma.f64 (*.f64 x -1/6) x 1/2))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (/.f64 1 (fma.f64 (.f64 x -1/6) x 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 -6 x)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 1/4 (pow.f64 (.f64 x (/.f64 x -6)) 2)) (fma.f64 1/6 (.f64 x x) -1/2))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2) -1/4) (-.f64 (.f64 (.f64 x -1/6) x) -1/2))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (/.f64 1 (fma.f64 (.f64 x -1/6) x 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 -6 x)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 1/4 (pow.f64 (.f64 x (/.f64 x -6)) 2)) (fma.f64 1/6 (.f64 x x) -1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 3) -1/8)) (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2) 1/4) (.f64 (.f64 x -1/6) (*.f64 x 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) 1) (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) (+.f64 1/4 (.f64 x (.f64 -1/6 (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 3) -1/8) (fma.f64 x (.f64 -1/12 x) (+.f64 (pow.f64 (.f64 x (*.f64 x -1/6)) 2) 1/4)))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 x (/.f64 -6 x)) 3)) (+.f64 -1/4 (.f64 (/.f64 x (/.f64 -6 x)) (fma.f64 1/6 (.f64 x x) -1/2))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 1/4 (.f64 (*.f64 x (/.f64 x -6)) (fma.f64 x (/.f64 x -6) 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x -1/6) x) 2) -1/4)) (neg.f64 (fma.f64 (*.f64 x -1/6) x 1/2)))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (/.f64 1 (fma.f64 (.f64 x -1/6) x 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/6)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 -6 x)) 2) -1/4) (fma.f64 x (*.f64 x -1/6) 1/2))
(/.f64 (+.f64 1/4 (pow.f64 (.f64 x (/.f64 x -6)) 2)) (fma.f64 1/6 (.f64 x x) -1/2))
(pow.f64 (fma.f64 (*.f64 x -1/6) x -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x -1/6) x -1/2) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x -1/6) x -1/2)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x -1/6) x -1/2)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x -1/6) x -1/2) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 (*.f64 x -1/6) x -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x -1/6) x -1/2) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x -1/6) x -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x -1/6) x -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 (*.f64 x -1/6) x -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x -1/6) x -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x -1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 1 (.f64 (.f64 x -1/6) x) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x -1/6) x)) 2) (cbrt.f64 (.f64 (.f64 x -1/6) x)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (/.f64 x (sqrt.f64 -6)) (/.f64 x (sqrt.f64 -6)) -1/2)
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 -6)) 2) -1/2)
(+.f64 -1/2 (pow.f64 (/.f64 x (sqrt.f64 -6)) 2))

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 6 (*.f64 x x))
✓	0.6b	(pow.f64 (/.f64 6 (*.f64 x x)) -1)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite41.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`pow1_binary64`
609×	`add-log-exp_binary64`
609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	14
2	1765	14

Stop Event

1×	node limit

Counts

2 → 50

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

simplify41.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
449×	`log-prod_binary64`
448×	`fma-def_binary64`
402×	`log-div_binary64`
298×	`associate-*l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	562
1	254	556
2	856	556
3	5028	556

Stop Event

1×	node limit

Counts

74 → 57

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

eval40.0ms (1.7%)

Compiler: Compiled 1673 to 1207 computations (27.9% saved)

prune21.0ms (0.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	155	3	158
Fresh	0	1	1
Picked	1	0	1
Done	1	5	6
Total	157	9	166

Error

Counts

166 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)
▶	42.3b	(/.f64 (*.f64 x x) 6)
▶	42.3b	(/.f64 x (/.f64 6 x))
▶	42.3b	(/.f64 1 (/.f64 6 (*.f64 x x)))
✓	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
✓	0.1b	(-.f64 (*.f64 (/.f64 x -6) (neg.f64 x)) 1/2)
✓	42.3b	(.f64 x (.f64 1/6 x))
✓	42.3b	(.f64 1/6 (.f64 x x))
	21.1b	-1/2

Compiler

Compiled 58 to 42 computations (27.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(/.f64 6 (*.f64 x x))
✓	0.6b	(/.f64 1 (/.f64 6 (*.f64 x x)))

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 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)))

rewrite40.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
612×	`add-log-exp_binary64`
611×	`log1p-expm1-u_binary64`
611×	`expm1-log1p-u_binary64`
599×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	1807	7

Stop Event

1×	node limit

Counts

1 → 27

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

simplify33.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

360×	`fma-def_binary64`
345×	`distribute-rgt-in_binary64`
345×	`log-prod_binary64`
317×	`distribute-lft-in_binary64`
283×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	304
1	188	304
2	598	301
3	2061	301

Stop Event

1×	node limit

Counts

39 → 35

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize5.0ms (0.2%)

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)

series1.0ms (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)

rewrite36.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`pow1_binary64`
490×	`add-sqr-sqrt_binary64`
469×	`add-log-exp_binary64`
469×	`log1p-expm1-u_binary64`
469×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	110	7
2	1320	7

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

simplify31.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

376×	`distribute-rgt-in_binary64`
360×	`fma-def_binary64`
354×	`log-prod_binary64`
349×	`distribute-lft-in_binary64`
311×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	269
1	159	269
2	515	269
3	1910	269

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

eval30.0ms (1.2%)

Compiler: Compiled 1232 to 865 computations (29.8% saved)

prune17.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	1	1
Picked	1	0	1
Done	2	5	7
Total	136	7	143

Error

Counts

143 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)
✓	42.3b	(/.f64 x (/.f64 6 x))
✓	42.3b	(/.f64 1 (/.f64 6 (*.f64 x x)))
✓	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
	42.3b	(*.f64 (/.f64 x 6) x)
✓	42.3b	(.f64 1/6 (.f64 x x))
	21.1b	-1/2

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes54.0ms (2.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	x
6.0ms	(*.f64 x x)
5.0ms	(*.f64 x x)
4.0ms	(-.f64 (*.f64 x x) 3)
4.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Results

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

Compiler

Compiled 137 to 89 computations (35% saved)

regimes37.0ms (1.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

7 calls:

15.0ms	(*.f64 x x)
5.0ms	x
4.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
3.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Results

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

Compiler

Compiled 86 to 54 computations (37.2% saved)

regimes53.0ms (2.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	(*.f64 x x)
14.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.8b	3	`x`
0.8b	2	`(*.f64 x x)`
0.8b	2	`(*.f64 x x)`

Compiler

Compiled 37 to 21 computations (43.2% saved)

bsearch50.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.9081984397122428	383.16061361028414
15.0ms	-1759.4239417700708	-3.602910296186366e-7

Results

46.0ms

288×

body

256

valid

Compiler

Compiled 192 to 153 computations (20.3% saved)

regimes22.0ms (0.9%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
6.0ms	(*.f64 x x)
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.8b	3	`x`
0.8b	2	`(*.f64 x x)`
0.8b	2	`(*.f64 x x)`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8248244058957523	146812.05582220946

Compiler

Compiled 12 to 9 computations (25% saved)

regimes38.0ms (1.6%)

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 x (.f64 1/6 x))

Calls

3 calls:

22.0ms	(*.f64 x x)
11.0ms	x
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.8b	3	`x`
0.8b	2	`(*.f64 x x)`
0.8b	2	`(*.f64 x x)`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch37.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.9081984397122428	383.16061361028414
16.0ms	-1759.4239417700708	-3.602910296186366e-7

Results

33.0ms

288×

body

256

valid

Compiler

Compiled 192 to 153 computations (20.3% saved)

regimes14.0ms (0.6%)

Accuracy

Total -61.8b remaining (-7351.3%)

Threshold costs -61.8b (-7351.3%)

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
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.8b	3	`x`
0.8b	2	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch15.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.8248244058957523	146812.05582220946

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 84 to 72 computations (14.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	111
1	50	111
2	60	109
3	68	109
4	71	109
5	72	109

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (/.f64 x -6) (neg.f64 x)) 1/2)
(+.f64 (*.f64 (/.f64 x -6) (neg.f64 x)) -1/2)
(-.f64 -1/2 (*.f64 x (/.f64 x -6)))
(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
(+.f64 (/.f64 x (/.f64 6 x)) -1/2)
(if (<=.f64 x -7746191359077253/4503599627370496) (/.f64 x (/.f64 6 x)) (if (<=.f64 x 7/4) -1/2 (*.f64 (/.f64 x 6) x)))
(if (<=.f64 x -7746191359077253/4503599627370496) (/.f64 x (/.f64 6 x)) (if (<=.f64 x 7/4) -1/2 (*.f64 x (/.f64 x 6))))
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 (/.f64 x 6) x))
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 x (/.f64 x 6)))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 x (.f64 1/6 x)) (if (<=.f64 x 7/4) -1/2 (.f64 x (.f64 1/6 x))))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 x (.f64 x 1/6)) (if (<=.f64 x 7/4) -1/2 (.f64 x (.f64 x 1/6))))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 1/6 (*.f64 x x)))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 (*.f64 x x) 1/6))
-1/2

Compiler

Compiled 84 to 59 computations (29.8% saved)

soundness0.0ms (0%)

end51.0ms (2.1%)

Compiler: Compiled 78 to 52 computations (33.3% saved)

Details

analyze3.0ms (0.1%)

sample695.0ms (28.8%)

preprocess15.0ms (0.6%)

simplify6.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite41.0ms (1.7%)

simplify37.0ms (1.5%)

eval7.0ms (0.3%)

prune10.0ms (0.4%)

localize9.0ms (0.4%)

series2.0ms (0.1%)

rewrite50.0ms (2.1%)

simplify53.0ms (2.2%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite35.0ms (1.5%)

simplify38.0ms (1.6%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite39.0ms (1.6%)

simplify34.0ms (1.4%)

localize12.0ms (0.5%)

series4.0ms (0.2%)

rewrite46.0ms (1.9%)

simplify47.0ms (2%)

localize15.0ms (0.6%)

series10.0ms (0.4%)

rewrite49.0ms (2%)

simplify57.0ms (2.4%)

eval109.0ms (4.5%)

prune40.0ms (1.6%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite38.0ms (1.6%)

simplify42.0ms (1.7%)

localize10.0ms (0.4%)

series1.0ms (0.1%)

rewrite47.0ms (1.9%)

simplify44.0ms (1.8%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite41.0ms (1.7%)

simplify41.0ms (1.7%)

eval40.0ms (1.7%)

prune21.0ms (0.9%)

localize7.0ms (0.3%)

series1.0ms (0%)

rewrite40.0ms (1.6%)

simplify33.0ms (1.4%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite36.0ms (1.5%)

simplify31.0ms (1.3%)

eval30.0ms (1.2%)

prune17.0ms (0.7%)

regimes54.0ms (2.2%)

regimes37.0ms (1.5%)

regimes53.0ms (2.2%)

bsearch50.0ms (2.1%)

regimes22.0ms (0.9%)

bsearch0.0ms (0%)

regimes38.0ms (1.6%)

bsearch37.0ms (1.5%)

regimes14.0ms (0.6%)

bsearch15.0ms (0.6%)

simplify7.0ms (0.3%)

soundness0.0ms (0%)

end51.0ms (2.1%)

Profiling