Details

analyze411.0ms

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

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

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: 1.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
1.0b	(/.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)))

series26.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 y (*.f64 z t))
17.0ms	(/.f64 x (-.f64 y (*.f64 z t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4953	449
1	4953	449

prune65.0ms

Filtered

36 candidates to 46 candidates (-27.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.9b

Counts

47 → 7

localize7.0ms

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))
0.8b	(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite20.0ms

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:

3.0ms	(-.f64 y (*.f64 z t))
7.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
5.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

series53.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(-.f64 y (*.f64 z t))
32.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
13.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5764	1562

prune97.0ms

Filtered

80 candidates to 126 candidates (-57.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	126	7	133

Merged error: 0.9b

Counts

133 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
0.3b	(/.f64 1 (-.f64 y (*.f64 z t)))
1.0b	(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))

rewrite39.0ms

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))
5.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
13.0ms	(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))

series55.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(-.f64 y (*.f64 z t))
13.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
34.0ms	(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))

simplify93.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4975	5516
1	4975	5516

prune187.0ms

Filtered

143 candidates to 308 candidates (-115.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	308	0	308
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	308	7	315

Merged error: 0.9b

Counts

315 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 z t)))
0.6b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 z t))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
34×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
28×	`cbrt-prod_binary64`
24×	`associate-r_binary64`
18×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
3×	`pow-prod-down_binary64` `associate-/r*_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
2×	`flip3--_binary64` `pow1/3_binary64` `div-inv_binary64` `flip--_binary64`
1×	`associate-r/_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
5.0ms	(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 z t)))
14.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 z t))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
35.0ms	(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 z t)))
19.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 z t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4933	1235
1	4933	1235

prune86.0ms

Filtered

96 candidates to 122 candidates (-27.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	122	7	129

Merged error: 0.9b

Counts

129 → 7

regimes451.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms

sample427.0ms

Algorithm

intervals

Results

222.0ms	8000×	body	80	valid
8.0ms	320×	body	80	invalid

Details

analyze411.0ms

sample17.0ms

simplify10.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series26.0ms

simplify48.0ms

prune65.0ms

localize7.0ms

rewrite20.0ms

series53.0ms

simplify57.0ms

prune97.0ms

localize8.0ms

rewrite39.0ms

series55.0ms

simplify93.0ms

prune187.0ms

localize10.0ms

rewrite25.0ms

series89.0ms

simplify70.0ms

prune86.0ms

regimes451.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample427.0ms

Profiling