Details

analyze278.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample50.0ms

Algorithm

intervals

Results

14.0ms	99×	body	320	valid
11.0ms	115×	body	160	valid
8.0ms	288×	pre	80	true
3.0ms	15×	body	640	valid
2.0ms	32×	body	80	nan
1.0ms	27×	body	80	valid

simplify250.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (247.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 51.7b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3.0 a) c))) b) (.f64 3.0 a))
0.3b	(.f64 (.f64 3.0 a) c)
29.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))) b)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `sqrt-prod_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r_binary64` `associate-l_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))
12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3.0 a) c))) b) (.f64 3.0 a))
6.0ms	(.f64 (.f64 3.0 a) c)
13.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))) b)

series51.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))
23.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3.0 a) c))) b) (.f64 3.0 a))
4.0ms	(.f64 (.f64 3.0 a) c)
16.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))) b)

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4979	1189
1	4979	1189

prune149.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	73	12	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	12	86

Merged error: 2.8b

Counts

86 → 12

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune35.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Merged error: 2.8b

Counts

12 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (*.f64 a c) b)
0.3b	(.f64 1.5 (/.f64 (.f64 a c) b))
0.4b	(/.f64 (neg.f64 (.f64 1.5 (/.f64 (.f64 a c) b))) (*.f64 3.0 a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64` `times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64` `associate-/l*_binary64`
6×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`associate-*r/_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `neg-sub0_binary64` `distribute-neg-frac_binary64` `unswap-sqr_binary64` `div-sub_binary64` `distribute-frac-neg_binary64` `*-commutative_binary64`

Counts

3 → 78

Calls

3 calls:

5.0ms	(/.f64 (*.f64 a c) b)
7.0ms	(.f64 1.5 (/.f64 (.f64 a c) b))
6.0ms	(/.f64 (neg.f64 (.f64 1.5 (/.f64 (.f64 a c) b))) (*.f64 3.0 a))

series21.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 (*.f64 a c) b)
7.0ms	(.f64 1.5 (/.f64 (.f64 a c) b))
6.0ms	(/.f64 (neg.f64 (.f64 1.5 (/.f64 (.f64 a c) b))) (*.f64 3.0 a))

simplify66.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5059	709

prune125.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	81	18	99

Merged error: 2.8b

Counts

99 → 18

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 1.5 (/.f64 (.f64 a c) b))
0.4b	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 1.5 (/.f64 (.f64 a c) b)) 3))) (*.f64 3.0 a))
0.6b	(cbrt.f64 (pow.f64 (.f64 1.5 (/.f64 (.f64 a c) b)) 3))
0.7b	(pow.f64 (.f64 1.5 (/.f64 (.f64 a c) b)) 3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod_binary64`
29×	`times-frac_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`associate-/l*_binary64`
22×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
6×	`cbrt-undiv_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `cube-div_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `pow-pow_binary64` `neg-mul-1_binary64` `div-inv_binary64`
1×	`pow-to-exp_binary64` `associate-/l/_binary64` `associate-/r_binary64` `rem-cbrt-cube_binary64` `neg-sub0_binary64` `pow1/3_binary64` `distribute-neg-frac_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-frac-neg_binary64` `-commutative_binary64`

Counts

4 → 142

Calls

4 calls:

7.0ms	(.f64 1.5 (/.f64 (.f64 a c) b))
9.0ms	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 1.5 (/.f64 (.f64 a c) b)) 3))) (*.f64 3.0 a))
2.0ms	(cbrt.f64 (pow.f64 (.f64 1.5 (/.f64 (.f64 a c) b)) 3))
7.0ms	(pow.f64 (.f64 1.5 (/.f64 (.f64 a c) b)) 3)

series46.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 1.5 (/.f64 (.f64 a c) b))
8.0ms	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 1.5 (/.f64 (.f64 a c) b)) 3))) (*.f64 3.0 a))
8.0ms	(cbrt.f64 (pow.f64 (.f64 1.5 (/.f64 (.f64 a c) b)) 3))
23.0ms	(pow.f64 (.f64 1.5 (/.f64 (.f64 a c) b)) 3)

simplify46.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5575	1773

prune131.0ms

Filtered

106 candidates to 154 candidates (-45.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	1	15	16
Picked	1	0	1
Done	0	1	1
Total	151	21	172

Merged error: 2.7b

Counts

172 → 21

regimes429.0ms

Accuracy

0% (3.5b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	6
1	37	6

end0.0ms

sample1.5s

Algorithm

intervals

Results

521.0ms	3602×	body	320	valid
291.0ms	2958×	body	160	valid
270.0ms	8811×	pre	80	true
101.0ms	535×	body	640	valid
47.0ms	905×	body	80	valid
39.0ms	811×	body	80	nan

Details

analyze278.0ms

sample50.0ms

simplify250.0ms

prune8.0ms

localize10.0ms

rewrite38.0ms

series51.0ms

simplify51.0ms

prune149.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune35.0ms

localize9.0ms

rewrite21.0ms

series21.0ms

simplify66.0ms

prune125.0ms

localize12.0ms

rewrite31.0ms

series46.0ms

simplify46.0ms

prune131.0ms

regimes429.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.5s

Profiling