Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample665.0ms (17.8%)

Results

651.0ms	8256×	body	256	valid
1.0ms	10×	body	256	invalid

preprocess17.0ms (0.4%)

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 (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

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

Outputs

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

simplify159.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
449×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	87
1	18	87
2	30	87
3	54	87
4	117	87
5	352	87
6	1293	87
7	2189	87
8	2353	87
9	2537	87
10	2745	87
11	3042	87
12	3435	87
13	3918	87
14	4486	87
15	5174	87
16	6009	87
17	6403	87
18	6691	87
19	6965	87
20	7037	87
21	7071	87

Stop Event

1×	node limit

Counts

37 → 30

Calls

Call 1

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

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

eval9.0ms (0.2%)

Compiler: Compiled 262 to 196 computations (25.2% saved)

prune6.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Error

Counts

31 → 6

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 (/.f64 x (/.f64 6 x)) 1/2)
	20.8b	-1/2
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	43.5b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
▶	42.6b	(.f64 1/6 (.f64 x x))

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (1.3%)

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))))))))

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))))))))

simplify178.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify171.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`fabs-mul_binary64`
560×	`cube-prod_binary64`
523×	`pow-sqr_binary64`
447×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	171
1	18	171
2	30	171
3	54	171
4	117	171
5	351	171
6	1264	171
7	2167	171
8	2331	171
9	2515	171
10	2723	171
11	3023	171
12	3418	171
13	3897	171
14	4465	171
15	5157	171
16	5992	171
17	6386	171
18	6674	171
19	6950	171
20	7026	171
21	7062	171

Stop Event

1×	node limit

Counts

94 → 75

Calls

Call 1

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

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

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 22 computations (29% saved)

series8.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))
1.0ms	x	@	inf	(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))

rewrite62.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`pow1_binary64`
630×	`add-log-exp_binary64`
630×	`log1p-expm1-u_binary64`
630×	`expm1-log1p-u_binary64`
618×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	187	26
2	1747	26

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-*l/_binary64`
526×	`associate-*r/_binary64`
438×	`associate-/r/_binary64`
410×	`fma-def_binary64`
404×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	761
1	294	497
2	945	483
3	3719	449

Stop Event

1×	node limit

Counts

99 → 88

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 4))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 4)))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 x 4)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 (sqrt.f64 1/6) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 2)) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 2)) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 2)) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3)))))
(*.f64 (sqrt.f64 1/6) x)
(+.f64 (.f64 (sqrt.f64 1/6) x) (.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)))
(+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)) (*.f64 -9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3)))))
(+.f64 (.f64 -27/16 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5))) (+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)) (.f64 -9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))))))
(.f64 -1 (.f64 (sqrt.f64 1/6) x))
(+.f64 (.f64 3/2 (/.f64 (sqrt.f64 1/6) x)) (.f64 -1 (*.f64 (sqrt.f64 1/6) x)))
(+.f64 (.f64 9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))) (+.f64 (.f64 3/2 (/.f64 (sqrt.f64 1/6) x)) (.f64 -1 (.f64 (sqrt.f64 1/6) x))))
(+.f64 (.f64 9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))) (+.f64 (.f64 3/2 (/.f64 (sqrt.f64 1/6) x)) (+.f64 (.f64 27/16 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5))) (.f64 -1 (*.f64 (sqrt.f64 1/6) x)))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))
-1/2
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 4))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 4)))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 x 4)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 -27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 -27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 27/8 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (.f64 -9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))) (+.f64 (.f64 -3 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (.f64 9/4 (/.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))))))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
-1/2
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 (sqrt.f64 -3) 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (.f64 x x))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (pow.f64 (sqrt.f64 1/6) 2) (+.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 2)) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3)))
(fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (.f64 x x)) (sqrt.f64 -3)) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 1/6) (sqrt.f64 -3) (.f64 1/2 (/.f64 (.f64 x (*.f64 (sqrt.f64 1/6) x)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 1/6) (sqrt.f64 -3) (/.f64 (.f64 (.f64 x x) (*.f64 (sqrt.f64 1/6) 1/2)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 1/6) (sqrt.f64 -3) (.f64 (/.f64 (sqrt.f64 1/6) (sqrt.f64 -3)) (.f64 (*.f64 1/2 x) x)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 2)) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 (sqrt.f64 -3) 3) (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (.f64 x x)) (sqrt.f64 -3)) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3))))
(+.f64 (fma.f64 (sqrt.f64 1/6) (sqrt.f64 -3) (.f64 1/2 (/.f64 (.f64 x (.f64 (sqrt.f64 1/6) x)) (sqrt.f64 -3)))) (.f64 1/24 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 4)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 1/6) (sqrt.f64 -3) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 (sqrt.f64 -3) (sqrt.f64 1/6))) (/.f64 (.f64 (.f64 x x) (*.f64 (sqrt.f64 1/6) 1/2)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 1/6) (sqrt.f64 -3) (.f64 (.f64 (.f64 x x) (/.f64 (sqrt.f64 1/6) (sqrt.f64 -3))) (+.f64 1/2 (.f64 1/24 (*.f64 x x)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (pow.f64 x 2)) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3)))))
(fma.f64 1/16 (/.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 x 6))) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 (sqrt.f64 -3) 3) (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/6) (.f64 x x)) (sqrt.f64 -3)) (*.f64 (sqrt.f64 1/6) (sqrt.f64 -3)))))
(+.f64 (fma.f64 (sqrt.f64 1/6) (sqrt.f64 -3) (.f64 1/2 (/.f64 (.f64 x (.f64 (sqrt.f64 1/6) x)) (sqrt.f64 -3)))) (fma.f64 1/16 (/.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 x 6))) (.f64 1/24 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 4)) (sqrt.f64 -3)))))
(fma.f64 1/16 (.f64 (pow.f64 x 6) (/.f64 (sqrt.f64 1/6) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 (sqrt.f64 1/6) (sqrt.f64 -3) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 (sqrt.f64 -3) (sqrt.f64 1/6))) (/.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 1/6) 1/2)) (sqrt.f64 -3)))))
(fma.f64 1/16 (.f64 (pow.f64 x 6) (/.f64 (sqrt.f64 1/6) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 (sqrt.f64 1/6) (sqrt.f64 -3) (.f64 (.f64 (.f64 x x) (/.f64 (sqrt.f64 1/6) (sqrt.f64 -3))) (+.f64 1/2 (.f64 1/24 (.f64 x x))))))
(*.f64 (sqrt.f64 1/6) x)
(+.f64 (.f64 (sqrt.f64 1/6) x) (.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)))
(fma.f64 (sqrt.f64 1/6) x (*.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)))
(fma.f64 (sqrt.f64 1/6) x (*.f64 (/.f64 -3/2 x) (sqrt.f64 1/6)))
(*.f64 (sqrt.f64 1/6) (-.f64 x (/.f64 3/2 x)))
(+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)) (*.f64 -9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3)))))
(fma.f64 (sqrt.f64 1/6) x (fma.f64 -3/2 (/.f64 (sqrt.f64 1/6) x) (*.f64 -9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3)))))
(fma.f64 (sqrt.f64 1/6) x (.f64 (/.f64 (sqrt.f64 1/6) x) (+.f64 -3/2 (/.f64 -9/8 (.f64 x x)))))
(+.f64 (.f64 -27/16 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5))) (+.f64 (.f64 (sqrt.f64 1/6) x) (+.f64 (.f64 -3/2 (/.f64 (sqrt.f64 1/6) x)) (.f64 -9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))))))
(fma.f64 -27/16 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5)) (fma.f64 (sqrt.f64 1/6) x (fma.f64 -3/2 (/.f64 (sqrt.f64 1/6) x) (*.f64 -9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))))))
(fma.f64 (sqrt.f64 1/6) x (fma.f64 -27/16 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5)) (.f64 (/.f64 (sqrt.f64 1/6) x) (+.f64 -3/2 (/.f64 -9/8 (.f64 x x))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 1/6) x) (+.f64 -3/2 (/.f64 -9/8 (.f64 x x)))) (*.f64 (sqrt.f64 1/6) (-.f64 x (/.f64 27/16 (pow.f64 x 5)))))
(.f64 -1 (.f64 (sqrt.f64 1/6) x))
(neg.f64 (*.f64 (sqrt.f64 1/6) x))
(*.f64 (sqrt.f64 1/6) (neg.f64 x))
(+.f64 (.f64 3/2 (/.f64 (sqrt.f64 1/6) x)) (.f64 -1 (*.f64 (sqrt.f64 1/6) x)))
(fma.f64 3/2 (/.f64 (sqrt.f64 1/6) x) (neg.f64 (*.f64 (sqrt.f64 1/6) x)))
(-.f64 (/.f64 3/2 (/.f64 x (sqrt.f64 1/6))) (*.f64 (sqrt.f64 1/6) x))
(-.f64 (/.f64 (sqrt.f64 1/6) (/.f64 x 3/2)) (*.f64 (sqrt.f64 1/6) x))
(*.f64 (sqrt.f64 1/6) (-.f64 (/.f64 3/2 x) x))
(+.f64 (.f64 9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))) (+.f64 (.f64 3/2 (/.f64 (sqrt.f64 1/6) x)) (.f64 -1 (.f64 (sqrt.f64 1/6) x))))
(fma.f64 9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3)) (fma.f64 3/2 (/.f64 (sqrt.f64 1/6) x) (neg.f64 (*.f64 (sqrt.f64 1/6) x))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3)) 9/8 (/.f64 3/2 (/.f64 x (sqrt.f64 1/6)))) (*.f64 (sqrt.f64 1/6) x))
(-.f64 (.f64 (/.f64 (sqrt.f64 1/6) x) (+.f64 3/2 (/.f64 9/8 (.f64 x x)))) (*.f64 (sqrt.f64 1/6) x))
(fma.f64 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3)) 9/8 (*.f64 (sqrt.f64 1/6) (-.f64 (/.f64 3/2 x) x)))
(+.f64 (.f64 9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3))) (+.f64 (.f64 3/2 (/.f64 (sqrt.f64 1/6) x)) (+.f64 (.f64 27/16 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5))) (.f64 -1 (*.f64 (sqrt.f64 1/6) x)))))
(fma.f64 9/8 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3)) (fma.f64 3/2 (/.f64 (sqrt.f64 1/6) x) (fma.f64 27/16 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5)) (neg.f64 (*.f64 (sqrt.f64 1/6) x)))))
(fma.f64 (/.f64 (sqrt.f64 1/6) (pow.f64 x 3)) 9/8 (fma.f64 (/.f64 (sqrt.f64 1/6) x) 3/2 (-.f64 (.f64 (/.f64 (sqrt.f64 1/6) (pow.f64 x 5)) 27/16) (.f64 (sqrt.f64 1/6) x))))
(+.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 1/6) x) (+.f64 3/2 (/.f64 9/8 (.f64 x x)))) (.f64 (sqrt.f64 1/6) x)) (.f64 (/.f64 27/16 (pow.f64 x 5)) (sqrt.f64 1/6)))
(fma.f64 (/.f64 (sqrt.f64 1/6) x) (+.f64 3/2 (/.f64 9/8 (.f64 x x))) (.f64 (sqrt.f64 1/6) (-.f64 (/.f64 27/16 (pow.f64 x 5)) x)))

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series6.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
534×	`fma-neg_binary64`
476×	`times-frac_binary64`
453×	`cancel-sign-sub-inv_binary64`
413×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	301
1	108	299
2	236	297
3	612	297
4	2367	297
5	7000	297

Stop Event

1×	node limit

Counts

72 → 68

Calls

Call 1

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

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

eval134.0ms (3.6%)

Compiler: Compiled 3286 to 2594 computations (21.1% saved)

prune35.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	244	3	247
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	246	7	253

Error

Counts

253 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	0.1b	(-.f64 (*.f64 1/6 (/.f64 x (/.f64 1 x))) 1/2)
	20.8b	-1/2
▶	42.6b	(.f64 x (.f64 1/6 x))
✓	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
▶	42.6b	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
✓	42.6b	(.f64 1/6 (.f64 x x))

Compiler

Compiled 48 to 36 computations (25% saved)

localize26.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series4.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

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

simplify170.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

40 → 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 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))

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

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 1/6 (/.f64 x (/.f64 1 x))) 1/2)
✓	0.2b	(/.f64 x (/.f64 1 x))
✓	0.3b	(*.f64 1/6 (/.f64 x (/.f64 1 x)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (*.f64 1/6 (/.f64 x (/.f64 1 x))) 1/2)
0.0ms	x	@	0	(*.f64 1/6 (/.f64 x (/.f64 1 x)))
0.0ms	x	@	inf	(/.f64 x (/.f64 1 x))
0.0ms	x	@	inf	(*.f64 1/6 (/.f64 x (/.f64 1 x)))
0.0ms	x	@	-inf	(*.f64 1/6 (/.f64 x (/.f64 1 x)))

rewrite82.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
883×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	202	19
2	2516	19

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/6 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 x (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3) -1/8) (/.f64 1 (+.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) 1/4) (*.f64 (*.f64 x x) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) -1/4) (/.f64 1 (fma.f64 1/6 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) 1/4) (*.f64 (*.f64 x x) 1/12)) (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/6 (*.f64 x x) 1/2) (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3) -1/8) (+.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) 1/4) (*.f64 (*.f64 x x) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3) -1/8) (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) (-.f64 1/4 (*.f64 (*.f64 x (*.f64 1/6 x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) -1/4) (-.f64 (*.f64 x (*.f64 1/6 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3) -1/8)) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) 1/4) (*.f64 (*.f64 x x) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2) -1/4)) (neg.f64 (fma.f64 1/6 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 1/6 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2)) (cbrt.f64 (*.f64 x (*.f64 1/6 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) -1/2)))))

simplify217.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`fabs-mul_binary64`
560×	`cube-prod_binary64`
523×	`pow-sqr_binary64`
447×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	219
1	18	219
2	30	219
3	54	219
4	117	219
5	351	219
6	1264	219
7	2167	219
8	2331	219
9	2515	219
10	2723	219
11	3023	219
12	3418	219
13	3897	219
14	4465	219
15	5157	219
16	5992	219
17	6386	219
18	6674	219
19	6950	219
20	7026	219
21	7062	219

Stop Event

1×	node limit

Counts

123 → 91

Calls

Call 1

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

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

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify175.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
450×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	14	168
2	27	168
3	52	168
4	126	168
5	397	168
6	1514	168
7	2749	168
8	2915	168
9	3099	168
10	3307	168
11	3610	168
12	4001	168
13	4486	168
14	5054	168
15	5736	168
16	6567	168
17	6959	168
18	7251	168
19	7531	168
20	7605	168
21	7639	168

Stop Event

1×	node limit

Counts

74 → 53

Calls

Call 1

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

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

eval139.0ms (3.7%)

Compiler: Compiled 1814 to 1279 computations (29.5% saved)

prune32.0ms (0.8%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	172	9	181

Error

Counts

181 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	0.1b	(-.f64 (*.f64 1/6 (/.f64 x (/.f64 1 x))) 1/2)
▶	42.6b	(/.f64 1 (/.f64 6 (*.f64 x x)))
	20.8b	-1/2
▶	42.6b	(/.f64 (*.f64 x x) 6)
▶	42.6b	(/.f64 x (/.f64 6 x))
✓	42.6b	(.f64 x (.f64 1/6 x))
✓	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
✓	42.6b	(.f64 1/6 (.f64 x x))

Compiler

Compiled 60 to 44 computations (26.7% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify183.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

39 → 29

Calls

Call 1

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

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

localize9.0ms (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)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (1.7%)

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))))))))

simplify179.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

37 → 27

Calls

Call 1

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

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

eval52.0ms (1.4%)

Compiler: Compiled 1026 to 710 computations (30.8% saved)

prune27.0ms (0.7%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	119	9	128

Error

Counts

128 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	42.6b	(*.f64 1/6 (/.f64 x (/.f64 1 x)))
✓	42.6b	(/.f64 x (/.f64 6 x))
✓	42.6b	(/.f64 1 (/.f64 6 (*.f64 x x)))
	20.8b	-1/2
✓	42.6b	(/.f64 (*.f64 x x) 6)
✓	42.6b	(.f64 x (.f64 1/6 x))
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	0.1b	(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
✓	42.6b	(.f64 1/6 (.f64 x x))

Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes37.0ms (1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	x
7.0ms	(*.f64 x x)
5.0ms	(*.f64 x x)
4.0ms	(-.f64 (*.f64 x x) 3)
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 121 to 80 computations (33.9% saved)

regimes38.0ms (1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
13.0ms	(*.f64 x x)
6.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 46 to 27 computations (41.3% saved)

bsearch32.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.9194664671186019	1796620.7441779824
17.0ms	-11598.679629717424	-1.9877093191841335e-14

Compiler

Compiled 12 to 9 computations (25% saved)

regimes63.0ms (1.7%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	x
6.0ms	(*.f64 x x)
5.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.845418584155563	134529369.15282193

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.5%)

Accuracy

Total -61.8b remaining (-7529.6%)

Threshold costs -61.8b (-7529.6%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
5.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch14.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.845418584155563	134529369.15282193

Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	30	72
2	31	72

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
(if (<=.f64 x -6376441559861469/549755813888) (.f64 1/6 (.f64 x x)) (if (<=.f64 x 2070454419347501/2251799813685248) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 (*.f64 x x) 1) -1/2 (/.f64 x (/.f64 6 x)))
(if (<=.f64 (.f64 x x) 1903713410287543/2251799813685248) -1/2 (/.f64 (.f64 x x) 6))
-1/2

Outputs
(-.f64 (/.f64 x (/.f64 6 x)) 1/2)
(+.f64 (/.f64 x (/.f64 6 x)) -1/2)
(if (<=.f64 x -6376441559861469/549755813888) (.f64 1/6 (.f64 x x)) (if (<=.f64 x 2070454419347501/2251799813685248) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 (*.f64 x x) 1) -1/2 (/.f64 x (/.f64 6 x)))
(if (<=.f64 (.f64 x x) 1903713410287543/2251799813685248) -1/2 (/.f64 (.f64 x x) 6))
-1/2

Compiler

Compiled 56 to 39 computations (30.4% saved)

soundness0.0ms (0%)

end60.0ms (1.6%)

Compiler: Compiled 52 to 33 computations (36.5% saved)

Details

analyze3.0ms (0.1%)

sample665.0ms (17.8%)

preprocess17.0ms (0.4%)

simplify7.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite53.0ms (1.4%)

simplify159.0ms (4.3%)

eval9.0ms (0.2%)

prune6.0ms (0.2%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite47.0ms (1.3%)

simplify178.0ms (4.8%)

localize9.0ms (0.2%)

series2.0ms (0.1%)

rewrite74.0ms (2%)

simplify171.0ms (4.6%)

localize15.0ms (0.4%)

series8.0ms (0.2%)

rewrite62.0ms (1.7%)

simplify49.0ms (1.3%)

localize12.0ms (0.3%)

series6.0ms (0.2%)

rewrite88.0ms (2.3%)

simplify54.0ms (1.4%)

eval134.0ms (3.6%)

prune35.0ms (0.9%)

localize26.0ms (0.7%)

series4.0ms (0.1%)

rewrite51.0ms (1.4%)

simplify170.0ms (4.6%)

localize14.0ms (0.4%)

series4.0ms (0.1%)

rewrite82.0ms (2.2%)

simplify217.0ms (5.8%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite55.0ms (1.5%)

simplify175.0ms (4.7%)

eval139.0ms (3.7%)

prune32.0ms (0.8%)

localize14.0ms (0.4%)

series1.0ms (0%)

rewrite67.0ms (1.8%)

simplify183.0ms (4.9%)

localize9.0ms (0.2%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite65.0ms (1.7%)

simplify179.0ms (4.8%)

eval52.0ms (1.4%)

prune27.0ms (0.7%)

regimes37.0ms (1%)

regimes38.0ms (1%)

bsearch32.0ms (0.8%)

regimes63.0ms (1.7%)

bsearch0.0ms (0%)

regimes18.0ms (0.5%)

bsearch14.0ms (0.4%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end60.0ms (1.6%)

Profiling