Details

analyze285.0ms

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

sample16.0ms

Algorithm

intervals

Results

7.0ms	239×	body	128	valid
1.0ms	10×	body	512	valid
1.0ms	22×	body	128	invalid
0.0ms	4×	body	1024	valid
0.0ms	3×	body	256	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune3.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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 3 (+.f64 d2 d3)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5188	315

prune24.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 (+.f64 d2 d3)))) (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

412.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 (+.f64 d2 d3)))) (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))))
302.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
309.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
318.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))

simplify88.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4927	1864
1	4927	1864

prune100.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

6.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
6.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
17.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
46.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
122.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
65.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5451	1691

prune68.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Merged error: 0b

Counts

108 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 d2 d3) 3)
0.1b	(*.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3))
5.6b	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
24.5b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 9 (.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`
9×	`pow1_binary64`
7×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64`
6×	`associate-*r/_binary64`
5×	`distribute-lft-out_binary64`
4×	`add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64` `times-frac_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `cube-div_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate--l+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 109

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 d2 d3) 3)
12.0ms	(*.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3))
11.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
14.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 9 (.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3))))

series851.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(pow.f64 (+.f64 d2 d3) 3)
36.0ms	(*.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3))
257.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
505.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 9 (.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3))))

simplify80.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4997	2369
1	4997	2369

prune107.0ms

Filtered

81 candidates to 121 candidates (-49.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	121	5	126

Merged error: 0b

Counts

126 → 5

regimes43.0ms

Accuracy

0% (0.0b 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	11	10
1	11	10

end0.0ms

sample454.0ms

Algorithm

intervals

Results

221.0ms	7526×	body	128	valid
18.0ms	647×	body	128	invalid
16.0ms	206×	body	512	valid
16.0ms	148×	body	1024	valid
9.0ms	120×	body	256	valid

Details

analyze285.0ms

sample16.0ms

simplify10.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series56.0ms

simplify54.0ms

prune24.0ms

localize9.0ms

rewrite35.0ms

series1.3s

simplify88.0ms

prune100.0ms

localize7.0ms

rewrite46.0ms

series281.0ms

simplify55.0ms

prune68.0ms

localize11.0ms

rewrite55.0ms

series851.0ms

simplify80.0ms

prune107.0ms

regimes43.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample454.0ms

Profiling