Details

analyze36.0ms

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

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true
0.0ms	3×	pre	80	false

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4903	17
1	4903	17

prune3.0ms

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: 15.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
34.6b	(/.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))

series56.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
24.0ms	(/.f64 (.f64 b b) (.f64 a a))

simplify94.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5272	452

prune28.0ms

Filtered

25 candidates to 40 candidates (-60.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	2	41

Merged error: 0b

Counts

41 → 2

localize7.0ms

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)

rewrite7.0ms

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))))
5.0ms	(pow.f64 (/.f64 b a) 2)

series43.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
15.0ms	(pow.f64 (/.f64 b a) 2)

simplify41.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5114	588

prune27.0ms

Filtered

28 candidates to 48 candidates (-71.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Merged error: 0b

Counts

50 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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)
4.7b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`log-pow_binary64`
18×	`times-frac_binary64` `exp-prod_binary64`
6×	`pow1_binary64` `add-exp-log_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `log-prod_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
2×	`unpow2_binary64` `sqr-pow_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-log-exp_binary64` `pow-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64`

Counts

3 → 72

Calls

3 calls:

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)
6.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
14.0ms	(pow.f64 (/.f64 b a) 2)
16.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5053	864

prune50.0ms

Filtered

56 candidates to 81 candidates (-44.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0b

Counts

83 → 2

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample569.0ms

Algorithm

intervals

Results

271.0ms	8000×	body	80	valid
143.0ms	8000×	pre	80	true
2.0ms	123×	pre	80	false

Details

analyze36.0ms

sample20.0ms

simplify118.0ms

prune3.0ms

localize8.0ms

rewrite9.0ms

series56.0ms

simplify94.0ms

prune28.0ms

localize7.0ms

rewrite7.0ms

series43.0ms

simplify41.0ms

prune27.0ms

localize9.0ms

rewrite15.0ms

series63.0ms

simplify49.0ms

prune50.0ms

regimes15.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample569.0ms

Profiling