Details

analyze422.0ms

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
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	125	7
1	125	7

prune3.0ms

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: 2.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
2.9b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite9.0ms

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` `associate-/l_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 40

Calls

2 calls:

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

series21.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4953	449
1	4953	449

prune68.0ms

Filtered

36 candidates to 46 candidates (-27.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	7	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 2.8b

Counts

47 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
0.6b	(/.f64 1 (-.f64 y (*.f64 z t)))
2.6b	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))

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`
4×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_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 → 82

Calls

3 calls:

3.0ms	(-.f64 y (*.f64 z t))
5.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
10.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))

series33.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 y (*.f64 z t))
12.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
13.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4945	801
1	4945	801

prune79.0ms

Filtered

54 candidates to 91 candidates (-68.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	91	8	99

Merged error: 2.8b

Counts

99 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
0.4b	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
2.9b	(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

5.0ms	(-.f64 y (*.f64 z t))
12.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
9.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

series67.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 y (*.f64 z t))
38.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
22.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5764	1562

prune97.0ms

Filtered

79 candidates to 126 candidates (-59.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	126	8	134

Merged error: 2.8b

Counts

134 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
0.6b	(/.f64 1 (-.f64 y (*.f64 z t)))
2.7b	(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

474×	`times-frac_binary64`
221×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
47×	`add-exp-log_binary64`
34×	`div-exp_binary64`
32×	`div-inv_binary64`
31×	`associate-/r/_binary64`
18×	`associate-/l*_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
9×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 299

Calls

3 calls:

3.0ms	(-.f64 y (*.f64 z t))
7.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
14.0ms	(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))

series65.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(-.f64 y (*.f64 z t))
21.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
33.0ms	(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))

simplify88.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4975	5516
1	4975	5516

prune161.0ms

Filtered

142 candidates to 308 candidates (-116.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	306	10	316

Merged error: 2.8b

Counts

316 → 10

regimes546.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms

sample442.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
9.0ms	341×	body	80	invalid

Details

analyze422.0ms

sample20.0ms

simplify9.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series21.0ms

simplify44.0ms

prune68.0ms

localize9.0ms

rewrite21.0ms

series33.0ms

simplify53.0ms

prune79.0ms

localize14.0ms

rewrite35.0ms

series67.0ms

simplify58.0ms

prune97.0ms

localize8.0ms

rewrite44.0ms

series65.0ms

simplify88.0ms

prune161.0ms

regimes546.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample442.0ms

Profiling