Details

analyze1.0s

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
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

sample27.0ms

Algorithm

intervals

Results

8.0ms	212×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	11×	body	1280	valid
1.0ms	11×	body	160	valid
1.0ms	20×	body	80	invalid
1.0ms	5×	body	320	valid
0.0ms	1×	body	2560	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4893	13
1	4893	13

prune7.0ms

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: 15.2b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 z t) y)
2.4b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
10.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `pow1_binary64` `associate-l*_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
4×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`associate-r_binary64`
2×	`associate-/l/_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

7.0ms	(*.f64 (-.f64 z t) y)
11.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
9.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

series73.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 (-.f64 z t) y)
46.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
19.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

simplify42.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4992	863
1	4992	863

prune120.0ms

Filtered

57 candidates to 78 candidates (-36.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	67	11	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	11	79

Merged error: 5.0b

Counts

79 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
4.4b	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
13.1b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
176×	`*-un-lft-identity_binary64`
87×	`add-cube-cbrt_binary64`
45×	`difference-of-squares_binary64`
44×	`distribute-lft-out--_binary64`
22×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`add-log-exp_binary64` `div-inv_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `flip3--_binary64` `div-sub_binary64` `flip--_binary64`
2×	`diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-sub_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate-/r/_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

3 → 196

Calls

3 calls:

6.0ms	(/.f64 (-.f64 a t) y)
37.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
11.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

series80.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 a t) y)
41.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
31.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

simplify58.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5295	3307

prune186.0ms

Filtered

139 candidates to 205 candidates (-47.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	199	6	205
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	204	12	216

Merged error: 4.0b

Counts

216 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))))
0.0b	(/.f64 (-.f64 a t) y)
6.2b	(-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
13.1b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac_binary64`
181×	`add-sqr-sqrt_binary64`
180×	`*-un-lft-identity_binary64`
88×	`add-cube-cbrt_binary64`
45×	`difference-of-squares_binary64`
44×	`distribute-lft-out--_binary64`
22×	`associate-/r*_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-/l*_binary64`
8×	`div-inv_binary64`
4×	`associate-/l/_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `div-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `distribute-rgt-out--_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 209

Calls

4 calls:

30.0ms	(+.f64 x (-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))))
6.0ms	(/.f64 (-.f64 a t) y)
30.0ms	(-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
11.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

series107.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 x (-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))))
7.0ms	(/.f64 (-.f64 a t) y)
27.0ms	(-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
30.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4984	3438
1	4984	3438

prune179.0ms

Filtered

151 candidates to 221 candidates (-46.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	222	11	233

Merged error: 4.0b

Counts

233 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.3b	(*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t))))
3.3b	(-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64`
29×	`times-frac_binary64`
20×	`difference-of-squares_binary64`
18×	`add-cube-cbrt_binary64`
14×	`distribute-lft-out--_binary64`
8×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `div-sub_binary64`
5×	`associate-/r_binary64` `sub-neg_binary64` `associate--r-_binary64` `associate-/l_binary64`
4×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate-+r+_binary64`
3×	`associate-l_binary64`
2×	`associate-/l/_binary64` `associate-*r/_binary64` `associate-/r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

4.0ms	(+.f64 x (*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
18.0ms	(*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t))))
16.0ms	(-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+.f64 x (*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))))
11.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
34.0ms	(*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t))))
19.0ms	(-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5619	1549

prune101.0ms

Filtered

91 candidates to 125 candidates (-37.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	123	13	136

Merged error: 4.0b

Counts

136 → 13

regimes527.0ms

Accuracy

10.6% (3.8b remaining)

Error of 7.1b against oracle of 3.3b and baseline of 7.5b

bsearch43.0ms

Steps

Iters	Range		Point
7	6.906175762085466e-264	1.8950498490859043e-262	3.484466297480128e-263
9	-7.607051486029147e-86	-9.763940209263246e-94	-1.0008921998682885e-93

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	173	29
1	173	29

end0.0ms

sample775.0ms

Algorithm

intervals

Results

281.0ms	6668×	body	80	valid
70.0ms	463×	body	640	valid
49.0ms	265×	body	1280	valid
41.0ms	343×	body	320	valid
29.0ms	754×	body	80	invalid
18.0ms	248×	body	160	valid
3.0ms	13×	body	2560	valid

Details

analyze1.0s

sample27.0ms

simplify113.0ms

prune7.0ms

localize14.0ms

rewrite29.0ms

series73.0ms

simplify42.0ms

prune120.0ms

localize9.0ms

rewrite64.0ms

series80.0ms

simplify58.0ms

prune186.0ms

localize9.0ms

rewrite87.0ms

series107.0ms

simplify60.0ms

prune179.0ms

localize9.0ms

rewrite50.0ms

series105.0ms

simplify58.0ms

prune101.0ms

regimes527.0ms

bsearch43.0ms

simplify6.0ms

end0.0ms

sample775.0ms

Profiling