Details

analyze37.0ms

Algorithm

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

sample25.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5165	11

prune6.0ms

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: 10.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
28.2b	(/.f64 (.f64 b b) (.f64 a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
2×	`add-log-exp_binary64`
1×	`associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

2 → 34

Calls

2 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
7.0ms	(/.f64 (.f64 b b) (.f64 a a))

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
6.0ms	(/.f64 (.f64 b b) (.f64 a a))

simplify44.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5104	299

prune38.0ms

Filtered

25 candidates to 40 candidates (-60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Merged error: 0b

Counts

41 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (pow.f64 (/.f64 b a) 2))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b	(pow.f64 (/.f64 b a) 2)
5.8b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down_binary64`
36×	`exp-prod_binary64`
31×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`times-frac_binary64`
19×	`log-pow_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
5×	`add-log-exp_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `log-prod_binary64` `unpow2_binary64` `sqr-pow_binary64` `div-inv_binary64` `sqrt-prod_binary64`
2×	`pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-log-exp_binary64` `pow-pow_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64`

Counts

4 → 98

Calls

4 calls:

6.0ms	(exp.f64 (pow.f64 (/.f64 b a) 2))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
5.0ms	(pow.f64 (/.f64 b a) 2)
7.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp.f64 (pow.f64 (/.f64 b a) 2))
10.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
4.0ms	(pow.f64 (/.f64 b a) 2)
4.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

simplify31.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4978	739
1	4978	739

prune95.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
0.4b	(pow.f64 (/.f64 b a) 2)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`unpow-prod-down_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64`
4×	`pow1_binary64`
3×	`pow-unpow_binary64` `sqrt-prod_binary64`
2×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 42

Calls

2 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
7.0ms	(pow.f64 (/.f64 b a) 2)

series14.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
4.0ms	(pow.f64 (/.f64 b a) 2)

simplify43.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5098	388

prune32.0ms

Filtered

28 candidates to 48 candidates (-71.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	48	3	51

Merged error: 0b

Counts

51 → 3

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample582.0ms

Algorithm

intervals

Results

288.0ms	8000×	body	80	valid
148.0ms	8000×	pre	80	true
2.0ms	130×	pre	80	false

Details

analyze37.0ms

sample25.0ms

simplify65.0ms

prune6.0ms

localize7.0ms

rewrite9.0ms

series16.0ms

simplify44.0ms

prune38.0ms

localize9.0ms

rewrite23.0ms

series23.0ms

simplify31.0ms

prune95.0ms

localize6.0ms

rewrite9.0ms

series14.0ms

simplify43.0ms

prune32.0ms

regimes141.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample582.0ms

Profiling