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)

sample709.0ms (31.3%)

Results

692.0ms	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess14.0ms (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)

simplify7.0ms (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 (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 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)
1.0ms	x	@	-inf	(/.f64 (-.f64 (*.f64 x x) 3) 6)
1.0ms	x	@	inf	(-.f64 (*.f64 x x) 3)
1.0ms	x	@	-inf	(-.f64 (*.f64 x x) 3)

Compiler

Compiled 206 to 184 computations (10.7% saved)

rewrite50.0ms (2.2%)

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	13
1	166	13
2	2033	13

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

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)))))))

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

simplify59.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

463×	`log-prod_binary64`
388×	`unswap-sqr_binary64`
379×	`fma-neg_binary64`
245×	`exp-prod_binary64`
198×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	688
1	299	648
2	1126	636
3	4622	636

Stop Event

1×	node limit

Counts

79 → 75

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

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 114 to 103 computations (9.6% saved)

rewrite39.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`pow1_binary64`
540×	`add-log-exp_binary64`
540×	`log1p-expm1-u_binary64`
540×	`expm1-log1p-u_binary64`
532×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	8
2	1446	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

simplify72.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

549×	`log-prod_binary64`
470×	`associate-l_binary64`
441×	`fma-def_binary64`
421×	`associate-r_binary64`
257×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	277
1	162	277
2	492	271
3	3432	271

Stop Event

1×	node limit

Counts

35 → 31

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

eval50.0ms (2.2%)

Compiler: Compiled 1052 to 798 computations (24.1% saved)

prune11.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	7	108

Error

0.0b

Counts

108 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
✓	0.1b	(/.f64 (fma.f64 x x -3) 6)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	43.3b	(/.f64 (*.f64 x x) 6)
▶	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
▶	43.3b	(.f64 1/6 (.f64 x x))
	20.8b	-1/2

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite39.0ms (1.7%)

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))))))))

simplify42.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1125×	`log-prod_binary64`
449×	`associate-l_binary64`
380×	`associate-r_binary64`
362×	`fma-neg_binary64`
320×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	216
1	115	206
2	390	191
3	3112	191
4	7014	191

Stop Event

1×	node limit

Counts

26 → 20

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

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite51.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`pow1_binary64`
546×	`add-log-exp_binary64`
546×	`log1p-expm1-u_binary64`
546×	`expm1-log1p-u_binary64`
535×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1508	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

452×	`log-div_binary64`
444×	`log-prod_binary64`
392×	`fma-def_binary64`
306×	`associate-*l/_binary64`
305×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	371
1	266	371
2	914	371
3	4223	371

Stop Event

1×	node limit

Counts

50 → 46

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

localize4.0ms (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)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite40.0ms (1.8%)

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))))))))

simplify36.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

382×	`distribute-rgt-in_binary64`
361×	`fma-def_binary64`
355×	`log-prod_binary64`
353×	`distribute-lft-in_binary64`
342×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	269
1	173	269
2	546	269
3	1986	269

Stop Event

1×	node limit

Counts

37 → 30

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

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series14.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/.f64 6 (fma.f64 x x -3))
4.0ms	x	@	inf	(/.f64 6 (fma.f64 x x -3))
1.0ms	x	@	0	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
1.0ms	x	@	0	(/.f64 6 (fma.f64 x x -3))
1.0ms	x	@	inf	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)

Compiler

Compiled 930 to 821 computations (11.7% saved)

rewrite47.0ms (2.1%)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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))))))))

((#(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)))))))

simplify49.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

777×	`times-frac_binary64`
770×	`fma-def_binary64`
354×	`fma-neg_binary64`
351×	`log-prod_binary64`
285×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	904
1	356	842
2	1130	753
3	6654	753

Stop Event

1×	node limit

Counts

72 → 92

Calls

Call 1

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

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

eval51.0ms (2.3%)

Compiler: Compiled 2154 to 1644 computations (23.7% saved)

prune46.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	0	1	1
Picked	1	0	1
Done	2	3	5
Total	187	8	195

Error

Counts

195 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.3b	(pow.f64 (/.f64 (/.f64 6 x) x) -1)
✓	43.3b	(/.f64 (*.f64 x x) 6)
✓	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
▶	0.1b	(-.f64 (.f64 (.f64 x 1/6) x) 1/2)
▶	43.3b	(*.f64 (/.f64 x 6) x)
▶	43.3b	(.f64 x (.f64 x 1/6))
✓	43.3b	(.f64 1/6 (.f64 x x))
	20.8b	-1/2

Compiler

Compiled 50 to 36 computations (28% saved)

localize37.0ms (1.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

Compiler

Compiled 160 to 136 computations (15% saved)

rewrite38.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`pow1_binary64`
434×	`add-sqr-sqrt_binary64`
425×	`*-un-lft-identity_binary64`
415×	`add-log-exp_binary64`
415×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	101	11
2	1141	11

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify33.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

668×	`distribute-rgt-in_binary64`
637×	`distribute-lft-in_binary64`
500×	`fma-def_binary64`
426×	`log-prod_binary64`
402×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	253
1	152	253
2	595	253
3	2387	253

Stop Event

1×	node limit

Counts

46 → 28

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series19.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(*.f64 (/.f64 x 6) x)
1.0ms	x	@	0	(*.f64 (/.f64 x 6) x)
1.0ms	x	@	-inf	(*.f64 (/.f64 x 6) x)

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite38.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
495×	`add-sqr-sqrt_binary64`
474×	`add-log-exp_binary64`
474×	`log1p-expm1-u_binary64`
474×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1299	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify32.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

798×	`log-prod_binary64`
518×	`associate-/l*_binary64`
488×	`associate-l_binary64`
442×	`associate-r_binary64`
304×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	205
1	125	205
2	415	205
3	2894	205

Stop Event

1×	node limit

Counts

29 → 21

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

localize14.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite58.0ms (2.6%)

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	7
1	101	7
2	1133	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify43.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

880×	`log-prod_binary64`
421×	`associate-l_binary64`
350×	`associate-r_binary64`
341×	`*-commutative_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	216
1	108	206
2	389	191
3	3141	191
4	6560	191

Stop Event

1×	node limit

Counts

26 → 22

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

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 6 x) x)
✓	0.4b	(pow.f64 (/.f64 (/.f64 6 x) x) -1)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

Compiler

Compiled 200 to 176 computations (12% saved)

rewrite52.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
695×	`add-log-exp_binary64`
695×	`log1p-expm1-u_binary64`
695×	`expm1-log1p-u_binary64`
681×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	14
2	1935	14

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-neg_binary64`
508×	`log-div_binary64`
486×	`unswap-sqr_binary64`
379×	`associate-/r/_binary64`
279×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	775
1	522	775
2	1725	775
3	6628	775

Stop Event

1×	node limit

Counts

106 → 92

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

eval42.0ms (1.9%)

Compiler: Compiled 1740 to 1258 computations (27.7% saved)

prune23.0ms (1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	0	1	1
Picked	0	1	1
Done	2	4	6
Total	176	7	183

Error

Counts

183 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.3b	(pow.f64 (/.f64 (/.f64 6 x) x) -1)
▶	43.3b	(/.f64 x (/.f64 6 x))
✓	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
✓	0.1b	(-.f64 (.f64 (.f64 x 1/6) x) 1/2)
✓	43.3b	(*.f64 (/.f64 x 6) x)
✓	43.3b	(.f64 x (.f64 x 1/6))
	20.8b	-1/2

Compiler

Compiled 44 to 32 computations (27.3% saved)

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)

eval11.0ms (0.5%)

Compiler: Compiled 452 to 309 computations (31.6% saved)

prune8.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	46	7	53

Error

Counts

53 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.3b	(pow.f64 (/.f64 (/.f64 6 x) x) -1)
✓	43.3b	(/.f64 x (/.f64 6 x))
✓	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
✓	0.1b	(-.f64 (.f64 (.f64 x 1/6) x) 1/2)
✓	43.3b	(*.f64 (/.f64 x 6) x)
✓	43.3b	(.f64 x (.f64 x 1/6))
	20.8b	-1/2

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes32.0ms (1.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	x
5.0ms	(*.f64 x x)
5.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
4.0ms	(*.f64 x x)
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 107 to 70 computations (34.6% saved)

regimes27.0ms (1.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
7.0ms	(*.f64 x x)
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.5b	3	`x`
1.5b	2	`(*.f64 x x)`
1.5b	2	`(*.f64 x x)`

Compiler

Compiled 37 to 21 computations (43.2% saved)

bsearch28.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.0029421815227809534	7.5893602122525
13.0ms	-3640.325933075684	-0.384502771213187

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 172 to 137 computations (20.3% saved)

regimes25.0ms (1.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
6.0ms	(*.f64 x x)
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.5b	3	`x`
1.5b	2	`(*.f64 x x)`
1.5b	2	`(*.f64 x x)`

Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.14784238107062042	57.59838843132131

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.9%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
5.0ms	(*.f64 x x)
4.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.5b	3	`x`
1.5b	2	`(*.f64 x x)`
1.5b	2	`(*.f64 x x)`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.14784238107062042	57.59838843132131

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.6%)

Accuracy

Total -61.1b remaining (-4024.6%)

Threshold costs -61.1b (-4024.6%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
1.5b	3	`x`
1.5b	2	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch11.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	0.14784238107062042	57.59838843132131

Results

10.0ms

128×

body

256

valid

Compiler

Compiled 76 to 65 computations (14.5% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	89
1	35	89
2	36	89

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 69 to 48 computations (30.4% saved)

soundness0.0ms (0%)

end43.0ms (1.9%)

Compiler: Compiled 64 to 40 computations (37.5% saved)

Details

analyze3.0ms (0.1%)

sample709.0ms (31.3%)

preprocess14.0ms (0.6%)

simplify7.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.4%)

series5.0ms (0.2%)

rewrite50.0ms (2.2%)

simplify59.0ms (2.6%)

localize6.0ms (0.3%)

series3.0ms (0.2%)

rewrite39.0ms (1.7%)

simplify72.0ms (3.2%)

eval50.0ms (2.2%)

prune11.0ms (0.5%)

localize4.0ms (0.2%)

series3.0ms (0.1%)

rewrite39.0ms (1.7%)

simplify42.0ms (1.9%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite51.0ms (2.2%)

simplify40.0ms (1.8%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite40.0ms (1.8%)

simplify36.0ms (1.6%)

localize10.0ms (0.4%)

series14.0ms (0.6%)

rewrite47.0ms (2.1%)

simplify49.0ms (2.1%)

eval51.0ms (2.3%)

prune46.0ms (2%)

localize37.0ms (1.6%)

series5.0ms (0.2%)

rewrite38.0ms (1.7%)

simplify33.0ms (1.5%)

localize5.0ms (0.2%)

series19.0ms (0.8%)

rewrite38.0ms (1.7%)

simplify32.0ms (1.4%)

localize14.0ms (0.6%)

series2.0ms (0.1%)

rewrite58.0ms (2.6%)

simplify43.0ms (1.9%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite52.0ms (2.3%)

simplify53.0ms (2.3%)

eval42.0ms (1.9%)

prune23.0ms (1%)

localize5.0ms (0.2%)

eval11.0ms (0.5%)

prune8.0ms (0.3%)

regimes32.0ms (1.4%)

regimes27.0ms (1.2%)

bsearch28.0ms (1.2%)

regimes25.0ms (1.1%)

bsearch0.0ms (0%)

regimes20.0ms (0.9%)

bsearch0.0ms (0%)

regimes14.0ms (0.6%)

bsearch11.0ms (0.5%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end43.0ms (1.9%)

Profiling