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
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4871	13
1	4871	13

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
10.3b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity_binary64`
200×	`times-frac_binary64`
126×	`add-sqr-sqrt_binary64`
86×	`add-cube-cbrt_binary64`
44×	`distribute-lft-out_binary64`
42×	`distribute-lft-out--_binary64`
22×	`associate-/r*_binary64`
20×	`difference-of-squares_binary64`
10×	`associate-/l*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`div-inv_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 175

Calls

2 calls:

9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
19.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

series38.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
31.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

simplify61.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5895	3167

prune118.0ms

Filtered

102 candidates to 181 candidates (-77.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	176	6	182

Merged error: 0b

Counts

182 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
1.1b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
11×	`difference-of-squares_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`associate-r_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

11.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
16.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

series46.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
32.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5150	1375

prune57.0ms

Filtered

64 candidates to 108 candidates (-68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) (-.f64 y z))
0.3b	(/.f64 1 (/.f64 (+.f64 (-.f64 t z) 1) (-.f64 y z)))
1.1b	(*.f64 (/.f64 1 (/.f64 (+.f64 (-.f64 t z) 1) (-.f64 y z))) a)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

446×	`*-un-lft-identity_binary64`
392×	`times-frac_binary64`
253×	`add-sqr-sqrt_binary64`
157×	`add-cube-cbrt_binary64`
98×	`associate-l_binary64`
82×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
41×	`difference-of-squares_binary64`
36×	`associate-/r*_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
8×	`flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-+l-_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 326

Calls

3 calls:

12.0ms	(/.f64 (+.f64 (-.f64 t z) 1) (-.f64 y z))
18.0ms	(/.f64 1 (/.f64 (+.f64 (-.f64 t z) 1) (-.f64 y z)))
28.0ms	(*.f64 (/.f64 1 (/.f64 (+.f64 (-.f64 t z) 1) (-.f64 y z))) a)

series62.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 (+.f64 (-.f64 t z) 1) (-.f64 y z))
21.0ms	(/.f64 1 (/.f64 (+.f64 (-.f64 t z) 1) (-.f64 y z)))
29.0ms	(*.f64 (/.f64 1 (/.f64 (+.f64 (-.f64 t z) 1) (-.f64 y z))) a)

simplify54.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5176	4964

prune148.0ms

Filtered

172 candidates to 335 candidates (-94.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	335	0	335
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	335	5	340

Merged error: 0b

Counts

340 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 a (+.f64 (-.f64 t z) 1))
9.1b	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
29×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
14×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-l*_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `-commutative_binary64`

Counts

2 → 83

Calls

2 calls:

8.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))
20.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

series30.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))
20.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

simplify39.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5218	988

prune40.0ms

Filtered

58 candidates to 89 candidates (-53.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	89	5	94

Merged error: 0b

Counts

94 → 5

regimes371.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	74	15
1	74	15

end0.0ms

sample633.0ms

Algorithm

intervals

Results

328.0ms	7997×	body	80	valid
23.0ms	460×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze1.0s

sample23.0ms

simplify69.0ms

prune3.0ms

localize9.0ms

rewrite38.0ms

series38.0ms

simplify61.0ms

prune118.0ms

localize10.0ms

rewrite32.0ms

series46.0ms

simplify51.0ms

prune57.0ms

localize10.0ms

rewrite80.0ms

series62.0ms

simplify54.0ms

prune148.0ms

localize9.0ms

rewrite31.0ms

series30.0ms

simplify39.0ms

prune40.0ms

regimes371.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample633.0ms

Profiling