Details

analyze933.0ms

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

sample29.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4900	11
1	4900	11

prune8.0ms

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: 10.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 a z))
9.8b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

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

series35.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 x (*.f64 y z))
7.0ms	(-.f64 t (*.f64 a z))
21.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5502	755

prune117.0ms

Filtered

52 candidates to 63 candidates (-21.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	51	12	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	12	64

Merged error: 9.8b

Counts

64 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 z a))
0.2b	(/.f64 1 (-.f64 t (*.f64 z a)))
9.9b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64` `times-frac_binary64`
17×	`add-exp-log_binary64`
15×	`associate-r_binary64`
11×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`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×	`sub-neg_binary64` `diff-log_binary64` `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` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

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

series48.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 x (*.f64 y z))
7.0ms	(-.f64 t (*.f64 z a))
12.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
21.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5862	1152

prune120.0ms

Filtered

70 candidates to 109 candidates (-55.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	109	12	121

Merged error: 9.8b

Counts

121 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 z a))
0.6b	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
9.7b	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

3.0ms	(-.f64 x (*.f64 y z))
3.0ms	(-.f64 t (*.f64 z a))
9.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
7.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 x (*.f64 y z))
7.0ms	(-.f64 t (*.f64 z a))
45.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
20.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5192	2492

prune156.0ms

Filtered

105 candidates to 150 candidates (-42.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	150	12	162

Merged error: 9.8b

Counts

162 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.6b	(/.f64 1 (.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y)))))
0.7b	(/.f64 1 (-.f64 x (*.f64 z y)))
9.0b	(.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

3.0ms	(-.f64 t (*.f64 z a))
11.0ms	(/.f64 1 (.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y)))))
5.0ms	(/.f64 1 (-.f64 x (*.f64 z y)))
12.0ms	(.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 t (*.f64 z a))
45.0ms	(/.f64 1 (.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y)))))
14.0ms	(/.f64 1 (-.f64 x (*.f64 z y)))
21.0ms	(.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y))))

simplify59.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4971	1555
1	4971	1555

prune317.0ms

Filtered

82 candidates to 142 candidates (-73.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	142	12	154

Merged error: 9.8b

Counts

154 → 12

regimes516.0ms

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

sample623.0ms

Algorithm

intervals

Results

312.0ms	8000×	body	80	valid
30.0ms	727×	body	80	invalid

Details

analyze933.0ms

sample29.0ms

simplify137.0ms

prune8.0ms

localize8.0ms

rewrite14.0ms

series35.0ms

simplify47.0ms

prune117.0ms

localize10.0ms

rewrite25.0ms

series48.0ms

simplify51.0ms

prune120.0ms

localize10.0ms

rewrite27.0ms

series78.0ms

simplify52.0ms

prune156.0ms

localize11.0ms

rewrite36.0ms

series87.0ms

simplify59.0ms

prune317.0ms

regimes516.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample623.0ms

Profiling