Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	37.5%	12.5%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample13.0ms (0%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

prune6.0ms (0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Kept	Total
New	4	4
Fresh	4	4
Picked	0	0
Done	0	0
Total	8	8

Error

0.0b

Counts

8 → 4

Compiler

Compiled 8 to 6 computations (25% saved)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(+.f64 x (*.f64 x x))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3868`
2×	`*-un-lft-identity_binary64_3829`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `distribute-rgt1-in_binary64_3785` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `+-commutative_binary64_3759` `distribute-rgt-out_binary64_3782` `add-sqr-sqrt_binary64_3851`

Counts

1 → 13

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 x x))
0.0ms	(+.f64 x (*.f64 x x))

series36.0ms (0.1%)

Counts

1 → 6

Calls

1 calls:

36.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 37 to 31 computations (16.2% saved)

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5054	165

prune52.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	7	12	19
Fresh	2	1	3
Picked	0	0	0
Done	0	1	1
Total	9	14	23

Error

Counts

23 → 14

Compiler

Compiled 234 to 111 computations (52.6% saved)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 x 1))
0.0b	(*.f64 x (+.f64 x 1))

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
4×	`associate-r_binary64_3769`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `associate-l_binary64_3770`
2×	`associate-*r/_binary64_3771`
1×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `prod-exp_binary64_3878` `distribute-rgt-in_binary64_3779` `distribute-lft-out_binary64_3780` `*-commutative_binary64_3760` `distribute-lft-in_binary64_3778` `cbrt-unprod_binary64_3862`

Counts

1 → 23

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 x 1))
0.0ms	(*.f64 x (+.f64 x 1))

series35.0ms (0.1%)

Counts

1 → 6

Calls

1 calls:

35.0ms

(*.f64 x (+.f64 x 1))

Compiler

Compiled 37 to 31 computations (16.2% saved)

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5431	230

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(+.f64 x (*.f64 x x))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3868`
2×	`*-un-lft-identity_binary64_3829`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `distribute-rgt1-in_binary64_3785` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `+-commutative_binary64_3759` `distribute-rgt-out_binary64_3782` `add-sqr-sqrt_binary64_3851`

Counts

1 → 13

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 x x))
0.0ms	(+.f64 x (*.f64 x x))

series35.0ms (0.1%)

Counts

1 → 6

Calls

1 calls:

35.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 55 to 49 computations (10.9% saved)

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5054	165

localize6.0ms (0%)

Local error

Found 6 expressions with local error:

3.9b	(exp.f64 (log.f64 (+.f64 x (*.f64 x x))))
0.0b	(+.f64 x (*.f64 x x))
0.0b	(log.f64 (+.f64 x (*.f64 x x)))
0.0b	(log.f64 (+.f64 x (*.f64 x x)))
0.0b	(+.f64 x (*.f64 x x))
3.9b	(exp.f64 (log.f64 (+.f64 x (*.f64 x x))))

rewrite12.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`log-prod_binary64_3915`
9×	`*-un-lft-identity_binary64_3829`
6×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
5×	`add-log-exp_binary64_3868` `pow1_binary64_3890` `exp-sum_binary64_3875`
4×	`add-exp-log_binary64_3867` `exp-prod_binary64_3881` `log-div_binary64_3916`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `distribute-rgt1-in_binary64_3785` `distribute-rgt-out_binary64_3782`
2×	`log-pow_binary64_3918` `exp-diff_binary64_3877`
1×	`rem-exp-log_binary64_3869` `rem-log-exp_binary64_3870` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

3 → 48

Calls

6 calls:

4.0ms	(exp.f64 (log.f64 (+.f64 x (*.f64 x x))))
3.0ms	(+.f64 x (*.f64 x x))
3.0ms	(log.f64 (+.f64 x (*.f64 x x)))
0.0ms	(log.f64 (+.f64 x (*.f64 x x)))
0.0ms	(+.f64 x (*.f64 x x))

series212.0ms (0.8%)

Counts

3 → 23

Calls

3 calls:

137.0ms	(exp.f64 (log.f64 (+.f64 x (*.f64 x x))))
39.0ms	(log.f64 (+.f64 x (*.f64 x x)))
36.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 332 to 292 computations (12% saved)

simplify110.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4888	774
1	4888	774

localize6.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(+.f64 x (*.f64 x x))
0.0b	(sqrt.f64 (+.f64 x (*.f64 x x)))
0.0b	(sqrt.f64 (+.f64 x (*.f64 x x)))
0.0b	(sqrt.f64 (+.f64 x (*.f64 x x)))
0.0b	(+.f64 x (*.f64 x x))
0.0b	(+.f64 x (*.f64 x x))
0.2b	(.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (sqrt.f64 (+.f64 x (*.f64 x x))))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`sqrt-prod_binary64_3845`
28×	`add-sqr-sqrt_binary64_3851`
20×	`pow1_binary64_3890` `*-un-lft-identity_binary64_3829`
14×	`sqrt-div_binary64_3846`
13×	`add-cube-cbrt_binary64_3864`
10×	`swap-sqr_binary64_3796`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847`
8×	`add-log-exp_binary64_3868` `associate-r_binary64_3769` `associate-l_binary64_3770`
7×	`distribute-rgt1-in_binary64_3785` `distribute-rgt-out_binary64_3782`
6×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
5×	`pow-prod-up_binary64_3899`
4×	`unswap-sqr_binary64_3797` `frac-times_binary64_3839`
3×	`pow-prod-down_binary64_3900` `rem-sqrt-square_binary64_3842` `pow-sqr_binary64_3802`
2×	`sum-log_binary64_3920` `associate-l/_binary64_3772` `+-commutative_binary64_3759` `associate-r/_binary64_3771`
1×	`sqr-abs_binary64_3844` `prod-exp_binary64_3878` `rem-square-sqrt_binary64_3841` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910` `sqrt-unprod_binary64_3849`

Counts

4 → 107

Calls

8 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (sqrt.f64 (+.f64 x (*.f64 x x))))
3.0ms	(+.f64 x (*.f64 x x))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x x)))
3.0ms	(+.f64 x (*.f64 x x))
0.0ms	(sqrt.f64 (+.f64 x (*.f64 x x)))

series145.0ms (0.5%)

Counts

4 → 26

Calls

4 calls:

43.0ms	(+.f64 x (*.f64 x x))
39.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (sqrt.f64 (+.f64 x (*.f64 x x))))
36.0ms	(+.f64 x (*.f64 x x))
26.0ms	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 408 to 296 computations (27.5% saved)

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4911	1427
1	4911	1427

prune1.4s (5.3%)

Pruning

93 alts after pruning (87 fresh and 6 done)

	Pruned	Kept	Total
New	173	79	252
Fresh	0	8	8
Picked	0	0	0
Done	0	6	6
Total	173	93	266

Error

Counts

266 → 93

Compiler

Compiled 3305 to 1453 computations (56% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 x 1))
0.0b	(*.f64 x (+.f64 x 1))

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
4×	`associate-r_binary64_3769`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `associate-l_binary64_3770`
2×	`associate-*r/_binary64_3771`
1×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `prod-exp_binary64_3878` `distribute-rgt-in_binary64_3779` `distribute-lft-out_binary64_3780` `*-commutative_binary64_3760` `distribute-lft-in_binary64_3778` `cbrt-unprod_binary64_3862`

Counts

1 → 23

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 x 1))
0.0ms	(*.f64 x (+.f64 x 1))

series33.0ms (0.1%)

Counts

1 → 6

Calls

1 calls:

33.0ms

(*.f64 x (+.f64 x 1))

Compiler

Compiled 55 to 49 computations (10.9% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5431	230

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(+.f64 x (*.f64 x x))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3868`
2×	`*-un-lft-identity_binary64_3829`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `distribute-rgt1-in_binary64_3785` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `+-commutative_binary64_3759` `distribute-rgt-out_binary64_3782` `add-sqr-sqrt_binary64_3851`

Counts

1 → 13

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 x x))
0.0ms	(+.f64 x (*.f64 x x))

series33.0ms (0.1%)

Counts

1 → 6

Calls

1 calls:

32.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 55 to 49 computations (10.9% saved)

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5054	165

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(+.f64 x (*.f64 x x))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3868`
2×	`*-un-lft-identity_binary64_3829`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `distribute-rgt1-in_binary64_3785` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `+-commutative_binary64_3759` `distribute-rgt-out_binary64_3782` `add-sqr-sqrt_binary64_3851`

Counts

1 → 13

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 x x))
0.0ms	(+.f64 x (*.f64 x x))

series32.0ms (0.1%)

Counts

1 → 6

Calls

1 calls:

32.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 73 to 67 computations (8.2% saved)

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5054	165

localize7.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(.f64 x (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(.f64 (.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)))
0.2b	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))

rewrite55.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-div_binary64_3861`
36×	`*-un-lft-identity_binary64_3829` `cbrt-prod_binary64_3860`
35×	`flip3-+_binary64_3832` `flip-+_binary64_3803`
34×	`associate-*r/_binary64_3771`
32×	`frac-times_binary64_3839`
24×	`add-sqr-sqrt_binary64_3851`
20×	`pow1_binary64_3890`
16×	`add-cube-cbrt_binary64_3864` `associate-*l/_binary64_3772`
15×	`add-exp-log_binary64_3867`
14×	`associate-r_binary64_3769`
9×	`swap-sqr_binary64_3796` `distribute-lft-out_binary64_3780`
8×	`pow-prod-down_binary64_3900` `add-cbrt-cube_binary64_3865` `pow1/3_binary64_3911` `associate-l_binary64_3770`
7×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797`
2×	`pow-prod-up_binary64_3899` `pow-sqr_binary64_3802` `*-commutative_binary64_3760`
1×	`pow-plus_binary64_3892` `pow2_binary64_3910`

Counts

4 → 132

Calls

8 calls:

20.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)))
11.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
0.0ms	(.f64 x (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))

series195.0ms (0.7%)

Counts

4 → 36

Calls

4 calls:

62.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
50.0ms	(cbrt.f64 (+.f64 x 1))
44.0ms	(cbrt.f64 (+.f64 x 1))
38.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)))

Compiler

Compiled 825 to 701 computations (15% saved)

simplify133.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4876	2981
1	4876	2981

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x (*.f64 x x)))
0.0b	(sqrt.f64 (+.f64 x (*.f64 x x)))
0.0b	(log.f64 (sqrt.f64 (+.f64 x (*.f64 x x))))
0.0b	(log.f64 (sqrt.f64 (+.f64 x (*.f64 x x))))
0.0b	(log.f64 (sqrt.f64 (+.f64 x (*.f64 x x))))
0.0b	(+.f64 x (*.f64 x x))
0.0b	(+.f64 x (*.f64 x x))
3.9b	(exp.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (.f64 x x)))) (log.f64 (sqrt.f64 (+.f64 x (.f64 x x))))))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`log-pow_binary64_3918`
30×	`pow1_binary64_3890`
26×	`exp-prod_binary64_3881`
24×	`*-un-lft-identity_binary64_3829`
21×	`distribute-rgt-out_binary64_3782`
11×	`add-cube-cbrt_binary64_3864` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `add-sqr-sqrt_binary64_3851`
9×	`add-log-exp_binary64_3868`
8×	`log-prod_binary64_3915` `distribute-lft-out_binary64_3780` `exp-to-pow_binary64_3891`
6×	`sqrt-div_binary64_3846` `log-div_binary64_3916`
5×	`flip3-+_binary64_3832` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `sqrt-prod_binary64_3845` `distribute-rgt1-in_binary64_3785`
4×	`add-cbrt-cube_binary64_3865` `exp-diff_binary64_3877`
3×	`sum-log_binary64_3920`
2×	`rem-exp-log_binary64_3869` `associate-+l-_binary64_3764` `associate-+r-_binary64_3763` `+-commutative_binary64_3759` `distribute-lft1-in_binary64_3784`
1×	`rem-log-exp_binary64_3870` `count-2_binary64_3777` `exp-sum_binary64_3875`

Counts

4 → 95

Calls

8 calls:

10.0ms	(exp.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (.f64 x x)))) (log.f64 (sqrt.f64 (+.f64 x (.f64 x x))))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 x (*.f64 x x))))
3.0ms	(+.f64 x (*.f64 x x))
3.0ms	(+.f64 x (*.f64 x x))
0.0ms	(log.f64 (sqrt.f64 (+.f64 x (*.f64 x x))))

series174.0ms (0.7%)

Counts

4 → 25

Calls

4 calls:

51.0ms	(exp.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (.f64 x x)))) (log.f64 (sqrt.f64 (+.f64 x (.f64 x x))))))
43.0ms	(+.f64 x (*.f64 x x))
41.0ms	(log.f64 (sqrt.f64 (+.f64 x (*.f64 x x))))
38.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 560 to 441 computations (21.3% saved)

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4937	1270
1	4937	1270

prune4.7s (17.8%)

Pruning

208 alts after pruning (197 fresh and 11 done)

	Pruned	Kept	Total
New	231	124	355
Fresh	9	73	82
Picked	0	0	0
Done	0	11	11
Total	240	208	448

Error

Counts

448 → 208

Compiler

Compiled 7905 to 4820 computations (39% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.0b	(+.f64 x (*.f64 x x))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3868`
2×	`*-un-lft-identity_binary64_3829`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `distribute-rgt1-in_binary64_3785` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `+-commutative_binary64_3759` `distribute-rgt-out_binary64_3782` `add-sqr-sqrt_binary64_3851`

Counts

1 → 13

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 x x))
0.0ms	(+.f64 x (*.f64 x x))

series34.0ms (0.1%)

Counts

1 → 6

Calls

1 calls:

34.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 73 to 67 computations (8.2% saved)

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5054	165

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 x (.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 1 (+.f64 (.f64 x 1/3) (.f64 (.f64 x x) (+.f64 (.f64 x 5/81) -1/9))))))
0.0b	(+.f64 (*.f64 x 5/81) -1/9)
0.0b	(+.f64 (.f64 x 1/3) (.f64 (.f64 x x) (+.f64 (.f64 x 5/81) -1/9)))
0.0b	(+.f64 1 (+.f64 (.f64 x 1/3) (.f64 (.f64 x x) (+.f64 (.f64 x 5/81) -1/9))))
0.1b	(cbrt.f64 (+.f64 x 1))
0.2b	(.f64 (.f64 x x) (+.f64 (*.f64 x 5/81) -1/9))
0.3b	(*.f64 x 1/3)
0.3b	(*.f64 x 5/81)

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_3851`
13×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
12×	`*-un-lft-identity_binary64_3829`
10×	`add-cube-cbrt_binary64_3864`
9×	`associate-r_binary64_3769`
7×	`associate-l_binary64_3770`
5×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
4×	`add-log-exp_binary64_3868` `cbrt-prod_binary64_3860`
3×	`unswap-sqr_binary64_3797` `*-commutative_binary64_3760`
2×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `cbrt-div_binary64_3861` `associate-*r/_binary64_3771`
1×	`distribute-rgt-in_binary64_3779` `distribute-lft-out_binary64_3780` `pow1/3_binary64_3911` `distribute-lft-in_binary64_3778`

Counts

4 → 73

Calls

8 calls:

10.0ms	(.f64 (.f64 x x) (+.f64 (*.f64 x 5/81) -1/9))
4.0ms	(*.f64 x 5/81)
4.0ms	(*.f64 x 1/3)
3.0ms	(cbrt.f64 (+.f64 x 1))
0.0ms	(+.f64 1 (+.f64 (.f64 x 1/3) (.f64 (.f64 x x) (+.f64 (.f64 x 5/81) -1/9))))

series151.0ms (0.6%)

Counts

4 → 18

Calls

4 calls:

72.0ms	(.f64 (.f64 x x) (+.f64 (*.f64 x 5/81) -1/9))
34.0ms	(cbrt.f64 (+.f64 x 1))
23.0ms	(*.f64 x 1/3)
22.0ms	(*.f64 x 5/81)

Compiler

Compiled 836 to 669 computations (20% saved)

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4903	871
1	4903	871

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(.f64 x (pow.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) 1))
0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(cbrt.f64 (+.f64 x 1))
0.1b	(.f64 (.f64 x (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) 1)) (cbrt.f64 (+.f64 x 1)))
0.2b	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))

rewrite38.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_3829` `cbrt-prod_binary64_3860`
24×	`add-sqr-sqrt_binary64_3851`
20×	`add-exp-log_binary64_3867`
18×	`cbrt-div_binary64_3861`
16×	`add-cube-cbrt_binary64_3864`
15×	`pow1_binary64_3890`
14×	`associate-r_binary64_3769`
11×	`prod-exp_binary64_3878`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `swap-sqr_binary64_3796` `distribute-lft-out_binary64_3780`
8×	`pow1/3_binary64_3911` `associate-l_binary64_3770`
7×	`add-cbrt-cube_binary64_3865`
5×	`pow-prod-down_binary64_3900`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `frac-times_binary64_3839` `associate-*r/_binary64_3771` `cbrt-unprod_binary64_3862`
2×	`pow-prod-up_binary64_3899` `pow-exp_binary64_3897` `associate-l/_binary64_3772` `pow-sqr_binary64_3802` `-commutative_binary64_3760`
1×	`pow-plus_binary64_3892` `pow-to-exp_binary64_3898` `pow2_binary64_3910`

Counts

4 → 108

Calls

8 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
11.0ms	(.f64 (.f64 x (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) 1)) (cbrt.f64 (+.f64 x 1)))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
0.0ms	(.f64 x (pow.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) 1))

series216.0ms (0.8%)

Counts

4 → 36

Calls

4 calls:

70.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
51.0ms	(cbrt.f64 (+.f64 x 1))
50.0ms	(cbrt.f64 (+.f64 x 1))
44.0ms	(.f64 (.f64 x (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) 1)) (cbrt.f64 (+.f64 x 1)))

Compiler

Compiled 889 to 765 computations (13.9% saved)

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4924	1940
1	4924	1940

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

39.1b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
2.8b	(-.f64 (pow.f64 x 4) (pow.f64 x 3))
2.0b	(+.f64 (pow.f64 x 3) (pow.f64 x 6))
0.0b	(+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3)))
0.0b	(+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3)))
2.0b	(+.f64 (pow.f64 x 3) (pow.f64 x 6))
2.8b	(-.f64 (pow.f64 x 4) (pow.f64 x 3))
39.1b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3))))

rewrite72.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_3851`
31×	`*-un-lft-identity_binary64_3829`
24×	`cancel-sign-sub-inv_binary64_3795`
19×	`add-cube-cbrt_binary64_3864`
13×	`add-log-exp_binary64_3868` `associate-+r+_binary64_3761` `unpow-prod-down_binary64_3908`
12×	`times-frac_binary64_3835` `difference-of-squares_binary64_3798`
9×	`cube-prod_binary64_3857` `sqr-pow_binary64_3801`
6×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
5×	`distribute-lft-out_binary64_3780`
4×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `pow1_binary64_3890` `associate-/l*_binary64_3774`
3×	`sum-log_binary64_3920` `associate-/r*_binary64_3773`
2×	`cube-mult_binary64_3859` `unpow3_binary64_3895` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `+-commutative_binary64_3759` `sub-neg_binary64_3822` `diff-log_binary64_3921`
1×	`div-inv_binary64_3826` `div-exp_binary64_3880` `flip--_binary64_3804` `associate-+r-_binary64_3763` `flip3--_binary64_3833` `clear-num_binary64_3828` `distribute-lft-out--_binary64_3781` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840`

Counts

4 → 109

Calls

8 calls:

24.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
15.0ms	(+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3)))
14.0ms	(-.f64 (pow.f64 x 4) (pow.f64 x 3))
9.0ms	(+.f64 (pow.f64 x 3) (pow.f64 x 6))
0.0ms	(+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3)))

series415.0ms (1.6%)

Counts

4 → 27

Calls

4 calls:

142.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
106.0ms	(+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3)))
95.0ms	(+.f64 (pow.f64 x 3) (pow.f64 x 6))
72.0ms	(-.f64 (pow.f64 x 4) (pow.f64 x 3))

Compiler

Compiled 705 to 576 computations (18.3% saved)

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5205	2729

prune8.3s (31.4%)

Pruning

359 alts after pruning (343 fresh and 16 done)

	Pruned	Kept	Total
New	232	158	390
Fresh	7	185	192
Picked	0	0	0
Done	0	16	16
Total	239	359	598

Error

Counts

598 → 359

Compiler

Compiled 6744 to 4843 computations (28.2% saved)

simplify264.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	2670	17734
1	2670	17734

regimes1.5s (5.5%)

Compiler: Compiled 15875 to 10951 computations (31% saved)

bsearch0.0ms (0%)

regimes23.0ms (0.1%)

Compiler: Compiled 9 to 11 computations (-22.2% saved)

bsearch16.0ms (0.1%)

Steps

Iters	Range		Point
7	0.10415464395989268	4.8131549653749435	1.0188424201072874
9	-539705.0450177583	-0.03708866190722307	-1.0065751490311745

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 6 to 9 computations (-50% saved)

bsearch2.0ms (0%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	27
1	19	27

end0.0ms (0%)

sample6.7s (25.4%)

Algorithm

1×

intervals

Results

131.0ms

8000×

body

128

valid

Compiler

Compiled 7368 to 5223 computations (29.1% saved)

Pareto

0.39973434061790375