Details

analyze298.0ms

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
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	236×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	18×	body	80	invalid
0.0ms	6×	body	320	valid
0.0ms	4×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune9.0ms

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 (+.f64 3 d2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3 d2)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3 d2)))

simplify72.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4961	218
1	4961	218

prune39.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3 d2)))
0.0b	(*.f64 d1 (+.f64 3 d2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

4.0ms	(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3 d2)))
6.0ms	(*.f64 d1 (+.f64 3 d2))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3 d2)))
7.0ms	(*.f64 d1 (+.f64 3 d2))

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5061	321

prune44.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 d2 d2) (.f64 3 d2))
0.0b	(+.f64 (.f64 d1 d3) (/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (*.f64 3 d2)))))
3.1b	(*.f64 d1 (+.f64 27 (pow.f64 d2 3)))
16.2b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (.f64 3 d2))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-r_binary64` `associate-*r/_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

4.0ms	(-.f64 (.f64 d2 d2) (.f64 3 d2))
12.0ms	(+.f64 (.f64 d1 d3) (/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (*.f64 3 d2)))))
9.0ms	(*.f64 d1 (+.f64 27 (pow.f64 d2 3)))
14.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (.f64 3 d2))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 (.f64 d2 d2) (.f64 3 d2))
61.0ms	(+.f64 (.f64 d1 d3) (/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (*.f64 3 d2)))))
18.0ms	(*.f64 d1 (+.f64 27 (pow.f64 d2 3)))
39.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 d2 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 d2 d2) (.f64 3 d2))))

simplify85.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4929	1096
1	4929	1096

prune92.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Merged error: 0b

Counts

87 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d3 (+.f64 3 d2)))
0.0b	(sqrt.f64 (+.f64 d3 (+.f64 3 d2)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3 d2))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3 d2)))) (sqrt.f64 (+.f64 d3 (+.f64 3 d2))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
21×	`sqrt-prod_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 d3 (+.f64 3 d2)))
5.0ms	(sqrt.f64 (+.f64 d3 (+.f64 3 d2)))
10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3 d2))))
17.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3 d2)))) (sqrt.f64 (+.f64 d3 (+.f64 3 d2))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt.f64 (+.f64 d3 (+.f64 3 d2)))
8.0ms	(sqrt.f64 (+.f64 d3 (+.f64 3 d2)))
18.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3 d2))))
12.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3 d2)))) (sqrt.f64 (+.f64 d3 (+.f64 3 d2))))

simplify39.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5024	1143

prune82.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes138.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample495.0ms

Algorithm

intervals

Results

240.0ms	7444×	body	80	valid
22.0ms	204×	body	640	valid
20.0ms	659×	body	80	invalid
17.0ms	175×	body	320	valid
12.0ms	88×	body	1280	valid
5.0ms	89×	body	160	valid

Details

analyze298.0ms

sample19.0ms

simplify5.0ms

prune9.0ms

localize8.0ms

rewrite9.0ms

series9.0ms

simplify72.0ms

prune39.0ms

localize6.0ms

rewrite12.0ms

series16.0ms

simplify42.0ms

prune44.0ms

localize14.0ms

rewrite41.0ms

series125.0ms

simplify85.0ms

prune92.0ms

localize8.0ms

rewrite40.0ms

series46.0ms

simplify39.0ms

prune82.0ms

regimes138.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample495.0ms

Profiling