Details

analyze262.0ms

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

sample41.0ms

Algorithm

intervals

Results

14.0ms	125×	body	160	valid
8.0ms	290×	pre	80	true
6.0ms	131×	body	80	valid
2.0ms	34×	body	80	nan

simplify213.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (210.0ms)

Iter	Nodes	Cost
0	1801	16
1	1801	16

prune7.0ms

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: 25.5b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
25.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite32.0ms

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 a) c))
5.0ms	(.f64 (.f64 3 a) c)
12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

series75.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
5.0ms	(.f64 (.f64 3 a) c)
35.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
24.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4939	1196
1	4939	1196

prune137.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	68	17	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	17	86

Merged error: 9.4b

Counts

86 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
0.4b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
24.8b	(-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

70×	`times-frac_binary64`
59×	`*-un-lft-identity_binary64`
47×	`add-sqr-sqrt_binary64`
33×	`add-cube-cbrt_binary64`
26×	`associate-/l*_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`add-log-exp_binary64` `pow1_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`div-inv_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l/_binary64` `diff-log_binary64` `associate-r_binary64` `div-sub_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`associate--l-_binary64` `associate-l_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 139

Calls

4 calls:

6.0ms	(.f64 (.f64 3 a) c)
17.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
18.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b))

series121.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(.f64 (.f64 3 a) c)
60.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
47.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
10.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b))

simplify73.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4951	3483
1	4951	3483

prune219.0ms

Filtered

109 candidates to 151 candidates (-38.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	143	8	151
Fresh	15	1	16
Picked	1	0	1
Done	0	0	0
Total	159	9	168

Merged error: 0.0b

Counts

168 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (.f64 (.f64 3 a) c) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
0.4b	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 a -3))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64`
19×	`cbrt-unprod_binary64` `prod-exp_binary64`
17×	`cbrt-undiv_binary64` `div-exp_binary64`
14×	`pow1_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`associate-/l*_binary64`
6×	`pow-prod-down_binary64` `associate-r_binary64` `associate-/r/_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `div-inv_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 111

Calls

4 calls:

5.0ms	(.f64 (.f64 3 a) c)
5.0ms	(.f64 (.f64 3 a) c)
14.0ms	(/.f64 (.f64 (.f64 3 a) c) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
16.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 a -3))

series144.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(.f64 (.f64 3 a) c)
5.0ms	(.f64 (.f64 3 a) c)
79.0ms	(/.f64 (.f64 (.f64 3 a) c) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
55.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 a -3))

simplify51.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4927	1901
1	4927	1901

prune130.0ms

Filtered

74 candidates to 123 candidates (-66.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	117	6	123
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	123	9	132

Merged error: 0b

Counts

132 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) -3)
0.3b	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
0.3b	(.f64 c (.f64 3 a))
0.3b	(.f64 3 (/.f64 (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) -3))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

195×	`times-frac_binary64`
142×	`*-un-lft-identity_binary64`
109×	`add-sqr-sqrt_binary64`
100×	`add-cube-cbrt_binary64`
59×	`associate-r_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`distribute-lft-out_binary64`
18×	`associate-/l*_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`div-inv_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `prod-exp_binary64` `div-exp_binary64`
4×	`pow-prod-down_binary64`
3×	`associate-/r*_binary64` `unswap-sqr_binary64`
2×	`*-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

4 → 199

Calls

4 calls:

12.0ms	(/.f64 (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) -3)
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
5.0ms	(.f64 c (.f64 3 a))
23.0ms	(.f64 3 (/.f64 (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) -3))

series151.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/.f64 (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) -3)
11.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
5.0ms	(.f64 c (.f64 3 a))
67.0ms	(.f64 3 (/.f64 (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) -3))

simplify63.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4970	4223
1	4970	4223

prune253.0ms

Filtered

154 candidates to 211 candidates (-37.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	211	9	220

Merged error: 0b

Counts

220 → 9

regimes290.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	22
1	60	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

434.0ms	4553×	body	160	valid
259.0ms	8979×	pre	80	true
170.0ms	3447×	body	80	valid
45.0ms	979×	body	80	nan

Details

analyze262.0ms

sample41.0ms

simplify213.0ms

prune7.0ms

localize9.0ms

rewrite32.0ms

series75.0ms

simplify53.0ms

prune137.0ms

localize12.0ms

rewrite54.0ms

series121.0ms

simplify73.0ms

prune219.0ms

localize12.0ms

rewrite45.0ms

series144.0ms

simplify51.0ms

prune130.0ms

localize14.0ms

rewrite56.0ms

series151.0ms

simplify63.0ms

prune253.0ms

regimes290.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling