Details

analyze51.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	70	7
1	70	7

prune6.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 27

Calls

1 calls:

3.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify103.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4529	332
1	4529	332

prune29.0ms

Filtered

22 candidates to 30 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 103

Calls

2 calls:

3.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
9.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
6.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

simplify109.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4562	1440
1	4562	1440

prune86.0ms

Filtered

66 candidates to 109 candidates (-65.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.2b	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
0.2b	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
0.2b	(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

332×	`add-sqr-sqrt_binary64`
327×	`sqrt-prod_binary64`
312×	`times-frac_binary64`
177×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
68×	`swap-sqr_binary64`
40×	`associate-r_binary64` `associate-l_binary64`
25×	`unswap-sqr_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
6×	`cbrt-undiv_binary64` `sqrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `pow-prod-up_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 334

Calls

4 calls:

2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
5.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
5.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
37.0ms	(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
11.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
15.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
7.0ms	(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))))

simplify106.0ms

Algorithm

egg-herbie

Counts

346 → 346

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4938	5844
1	4938	5844

prune135.0ms

Filtered

150 candidates to 346 candidates (-130.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	346	0	346
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	346	4	350

Merged error: 0b

Counts

350 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
2.4b	(exp.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
3.5b	(log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

27×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64` `log-prod_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`exp-sum_binary64`
8×	`add-exp-log_binary64`
5×	`pow1_binary64` `add-cbrt-cube_binary64`
4×	`exp-prod_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64` `div-inv_binary64`
2×	`rem-log-exp_binary64` `log-pow_binary64` `div-exp_binary64` `log-div_binary64`
1×	`cbrt-undiv_binary64` `rem-exp-log_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 77

Calls

3 calls:

3.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
4.0ms	(exp.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
3.0ms	(log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
6.0ms	(exp.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
12.0ms	(log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5287	935

prune55.0ms

Filtered

59 candidates to 86 candidates (-45.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	86	4	90

Merged error: 0b

Counts

90 → 4

regimes104.0ms

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	16	7
1	16	7

end0.0ms

sample297.0ms

Algorithm

intervals

Results

168.0ms	8000×	body	80	valid
4.0ms	187×	body	80	invalid

Details

analyze51.0ms

sample12.0ms

simplify7.0ms

prune6.0ms

localize5.0ms

rewrite4.0ms

series8.0ms

simplify103.0ms

prune29.0ms

localize6.0ms

rewrite16.0ms

series13.0ms

simplify109.0ms

prune86.0ms

localize8.0ms

rewrite69.0ms

series36.0ms

simplify106.0ms

prune135.0ms

localize8.0ms

rewrite12.0ms

series24.0ms

simplify87.0ms

prune55.0ms

regimes104.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample297.0ms

Profiling