Details

analyze364.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample27.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	37×	body	80	invalid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4787	13
1	4787	13

prune19.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 x (*.f64 y 1/4)) z)
0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
0.0b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64_3749`
9×	`*-un-lft-identity_binary64_3784`
8×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
7×	`add-sqr-sqrt_binary64_3769`
5×	`add-cube-cbrt_binary64_3755`
3×	`times-frac_binary64_3779` `pow1_binary64_3730` `associate-/r*_binary64_3847`
2×	`associate-/l/_binary64_3850` `flip3--_binary64_3783` `flip--_binary64_3810` `cbrt-undiv_binary64_3754` `div-exp_binary64_3737` `diff-log_binary64_3700` `associate-*r/_binary64_3845` `sum-log_binary64_3699`
1×	`+-commutative_binary64_3851` `clear-num_binary64_3787` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `frac-2neg_binary64_3777` `difference-of-squares_binary64_3813` `distribute-lft-out--_binary64_3829` `div-inv_binary64_3785` `associate-/l*_binary64_3848` `distribute-lft-out_binary64_3828` `associate--l+_binary64_3840` `flip-+_binary64_3809` `flip3-+_binary64_3782` `sub-neg_binary64_3788`

Counts

3 → 50

Calls

3 calls:

6.0ms	(-.f64 (+.f64 x (*.f64 y 1/4)) z)
6.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
9.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

series76.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(-.f64 (+.f64 x (*.f64 y 1/4)) z)
24.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
35.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5051	1119

prune392.0ms

Filtered

44 candidates to 59 candidates (-34.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))
0.0b	(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
0.0b	(-.f64 (/.f64 x y) (/.f64 z y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_3769`
25×	`*-un-lft-identity_binary64_3784`
20×	`times-frac_binary64_3779`
12×	`associate-r_binary64_3843`
9×	`add-cube-cbrt_binary64_3755`
8×	`difference-of-squares_binary64_3813` `distribute-lft-out--_binary64_3829`
7×	`add-log-exp_binary64_3749`
5×	`add-exp-log_binary64_3748` `pow1_binary64_3730` `add-cbrt-cube_binary64_3756` `sub-neg_binary64_3788`
4×	`div-inv_binary64_3785` `associate-*r/_binary64_3845`
3×	`associate-l_binary64_3844`
2×	`frac-sub_binary64_3775` `distribute-rgt-out--_binary64_3831` `flip3--_binary64_3783` `distribute-lft-in_binary64_3826` `associate-+r+_binary64_3835` `flip--_binary64_3810` `sub-div_binary64_3773` `distribute-rgt-in_binary64_3827`
1×	`+-commutative_binary64_3851` `*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `unswap-sqr_binary64_3812` `flip-+_binary64_3809` `flip3-+_binary64_3782` `diff-log_binary64_3700` `sum-log_binary64_3699`

Counts

3 → 68

Calls

3 calls:

5.0ms	(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))
17.0ms	(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
13.0ms	(-.f64 (/.f64 x y) (/.f64 z y))

series86.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))
35.0ms	(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
24.0ms	(-.f64 (/.f64 x y) (/.f64 z y))

simplify73.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5403	1255

prune242.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Merged error: 0b

Counts

79 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (+.f64 x (.f64 y 1/4)) z) y) 4)))
0.0b	(+.f64 1 (.f64 (/.f64 (-.f64 (+.f64 x (.f64 y 1/4)) z) y) 4))
0.0b	(/.f64 (-.f64 (+.f64 x (*.f64 y 1/4)) z) y)
1.8b	(exp.f64 (log.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (+.f64 x (.f64 y 1/4)) z) y) 4))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_3784` `add-sqr-sqrt_binary64_3769`
17×	`add-cube-cbrt_binary64_3755`
15×	`times-frac_binary64_3779`
7×	`add-exp-log_binary64_3748`
6×	`add-log-exp_binary64_3749` `pow1_binary64_3730` `log-prod_binary64_3702` `add-cbrt-cube_binary64_3756`
5×	`associate-/l*_binary64_3848`
4×	`difference-of-squares_binary64_3813` `exp-prod_binary64_3738` `distribute-lft-out--_binary64_3829` `log-div_binary64_3703`
3×	`associate-/r*_binary64_3847` `flip-+_binary64_3809` `flip3-+_binary64_3782` `exp-sum_binary64_3743`
2×	`associate-/l/_binary64_3850` `exp-diff_binary64_3745` `log-pow_binary64_3705`
1×	`+-commutative_binary64_3851` `clear-num_binary64_3787` `rem-log-exp_binary64_3747` `frac-2neg_binary64_3777` `rem-exp-log_binary64_3746` `div-inv_binary64_3785` `flip3--_binary64_3783` `div-sub_binary64_3778` `flip--_binary64_3810` `cbrt-undiv_binary64_3754` `div-exp_binary64_3737` `sum-log_binary64_3699`

Counts

4 → 80

Calls

4 calls:

3.0ms	(log.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (+.f64 x (.f64 y 1/4)) z) y) 4)))
5.0ms	(+.f64 1 (.f64 (/.f64 (-.f64 (+.f64 x (.f64 y 1/4)) z) y) 4))
8.0ms	(/.f64 (-.f64 (+.f64 x (*.f64 y 1/4)) z) y)
4.0ms	(exp.f64 (log.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (+.f64 x (.f64 y 1/4)) z) y) 4))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(log.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (+.f64 x (.f64 y 1/4)) z) y) 4)))
21.0ms	(+.f64 1 (.f64 (/.f64 (-.f64 (+.f64 x (.f64 y 1/4)) z) y) 4))
33.0ms	(/.f64 (-.f64 (+.f64 x (*.f64 y 1/4)) z) y)
25.0ms	(exp.f64 (log.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (+.f64 x (.f64 y 1/4)) z) y) 4))))

simplify85.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5000	2203

prune241.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Merged error: 0b

Counts

94 → 2

regimes179.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms

sample603.0ms

Algorithm

intervals

Results

310.0ms	8000×	body	80	valid
38.0ms	979×	body	80	invalid

Details

analyze364.0ms

sample27.0ms

simplify89.0ms

prune19.0ms

localize20.0ms

rewrite23.0ms

series76.0ms

simplify66.0ms

prune392.0ms

localize19.0ms

rewrite38.0ms

series86.0ms

simplify73.0ms

prune242.0ms

localize18.0ms

rewrite22.0ms

series153.0ms

simplify85.0ms

prune241.0ms

regimes179.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample603.0ms

Profiling