Details

analyze897.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	28×	body	80	invalid

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4900	11
1	4900	11

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 9.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
9.3b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `associate-/r/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 43

Calls

2 calls:

3.0ms	(-.f64 x (*.f64 y z))
6.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

series31.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 x (*.f64 y z))
23.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5427	646

prune95.0ms

Filtered

40 candidates to 49 candidates (-22.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	37	12	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	13	50

Merged error: 9.2b

Counts

50 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.4b	(/.f64 1 (-.f64 t (*.f64 z a)))
9.1b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `times-frac_binary64`
19×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`
15×	`associate-r_binary64`
10×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l_binary64`
2×	`cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 86

Calls

3 calls:

3.0ms	(-.f64 x (*.f64 y z))
5.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
11.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

series46.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(-.f64 x (*.f64 y z))
13.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
25.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

simplify49.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5736	1043

prune105.0ms

Filtered

58 candidates to 95 candidates (-63.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	2	9	11
Picked	0	1	1
Done	1	0	1
Total	95	13	108

Merged error: 9.2b

Counts

108 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.4b	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
9.2b	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
55×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`associate-/l/_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 127

Calls

3 calls:

3.0ms	(-.f64 x (*.f64 y z))
8.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
6.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 x (*.f64 y z))
48.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
25.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5007	2383

prune138.0ms

Filtered

94 candidates to 136 candidates (-44.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	137	12	149

Merged error: 9.2b

Counts

149 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.3b	(/.f64 1 (-.f64 x (*.f64 y z)))
0.4b	(/.f64 1 (-.f64 t (*.f64 z a)))
8.8b	(/.f64 (/.f64 1 (-.f64 t (.f64 z a))) (/.f64 1 (-.f64 x (.f64 y z))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac_binary64`
244×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
69×	`associate-/r/_binary64`
52×	`add-exp-log_binary64`
36×	`div-exp_binary64`
35×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
21×	`associate-/r_binary64` `associate-/l_binary64`
20×	`add-cbrt-cube_binary64`
10×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`inv-pow_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64`

Counts

4 → 364

Calls

4 calls:

3.0ms	(-.f64 x (*.f64 y z))
5.0ms	(/.f64 1 (-.f64 x (*.f64 y z)))
5.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
16.0ms	(/.f64 (/.f64 1 (-.f64 t (.f64 z a))) (/.f64 1 (-.f64 x (.f64 y z))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 x (*.f64 y z))
16.0ms	(/.f64 1 (-.f64 x (*.f64 y z)))
13.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
48.0ms	(/.f64 (/.f64 1 (-.f64 t (.f64 z a))) (/.f64 1 (-.f64 x (.f64 y z))))

simplify94.0ms

Algorithm

egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5011	8723

prune431.0ms

Filtered

191 candidates to 376 candidates (-96.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	375	1	376
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	377	11	388

Merged error: 9.2b

Counts

388 → 11

regimes470.0ms

Accuracy

0% (0.4b remaining)

Error of 10.7b against oracle of 10.3b and baseline of 10.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	13
1	59	13

end0.0ms

sample643.0ms

Algorithm

intervals

Results

320.0ms	8000×	body	80	valid
26.0ms	712×	body	80	invalid

Details

analyze897.0ms

sample24.0ms

simplify133.0ms

prune12.0ms

localize8.0ms

rewrite11.0ms

series31.0ms

simplify44.0ms

prune95.0ms

localize9.0ms

rewrite21.0ms

series46.0ms

simplify49.0ms

prune105.0ms

localize9.0ms

rewrite23.0ms

series80.0ms

simplify50.0ms

prune138.0ms

localize10.0ms

rewrite52.0ms

series84.0ms

simplify94.0ms

prune431.0ms

regimes470.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample643.0ms

Profiling