Details

analyze278.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	46×	body	80	invalid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

prune2.0ms

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 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
0.0b	(/.f64 (-.f64 y x) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms	(/.f64 (-.f64 y x) z)

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
7.0ms	(/.f64 (-.f64 y x) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5763	519

prune32.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Merged error: 0b

Counts

58 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
0.0b	(-.f64 (/.f64 y z) (/.f64 x z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
10×	`times-frac_binary64`
9×	`add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
2×	`sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-rgt-out--_binary64` `+-commutative_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `associate-+r+_binary64` `frac-sub_binary64`

Counts

2 → 38

Calls

2 calls:

18.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
13.0ms	(-.f64 (/.f64 y z) (/.f64 x z))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
7.0ms	(-.f64 (/.f64 y z) (/.f64 x z))

simplify40.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4895	494
1	4895	494

prune22.0ms

Filtered

31 candidates to 44 candidates (-41.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	45	5	50

Merged error: 0b

Counts

50 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
2.8b	(cbrt.f64 (/.f64 (-.f64 y x) z))
2.8b	(cbrt.f64 (/.f64 (-.f64 y x) z))
2.8b	(cbrt.f64 (/.f64 (-.f64 y x) z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

157×	`cbrt-prod_binary64`
141×	`add-sqr-sqrt_binary64`
135×	`*-un-lft-identity_binary64`
123×	`times-frac_binary64`
75×	`add-cube-cbrt_binary64`
28×	`swap-sqr_binary64`
27×	`distribute-lft-out--_binary64`
22×	`associate-r_binary64` `associate-l_binary64`
21×	`difference-of-squares_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 186

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
5.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
5.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
5.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))

series162.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
34.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
34.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))
42.0ms	(cbrt.f64 (/.f64 (-.f64 y x) z))

simplify76.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5223	2851

prune81.0ms

Filtered

144 candidates to 198 candidates (-37.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	198	5	203

Merged error: 0b

Counts

203 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 z (-.f64 y x)) (.f64 z z)))
0.0b	(*.f64 z (-.f64 y x))
25.8b	(/.f64 (.f64 z (-.f64 y x)) (.f64 z z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
4×	`cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
3×	`associate-l_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (.f64 z (-.f64 y x)) (.f64 z z)))
7.0ms	(*.f64 z (-.f64 y x))
10.0ms	(/.f64 (.f64 z (-.f64 y x)) (.f64 z z))

series23.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 x (/.f64 (.f64 z (-.f64 y x)) (.f64 z z)))
8.0ms	(*.f64 z (-.f64 y x))
8.0ms	(/.f64 (.f64 z (-.f64 y x)) (.f64 z z))

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5343	496

prune22.0ms

Filtered

41 candidates to 68 candidates (-65.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	68	5	73

Merged error: 0b

Counts

73 → 5

regimes133.0ms

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	17	7
1	17	7

end0.0ms

sample413.0ms

Algorithm

intervals

Results

193.0ms	8000×	body	80	valid
30.0ms	1331×	body	80	invalid

Details

analyze278.0ms

sample15.0ms

simplify18.0ms

prune2.0ms

localize5.0ms

rewrite16.0ms

series14.0ms

simplify49.0ms

prune32.0ms

localize6.0ms

rewrite32.0ms

series14.0ms

simplify40.0ms

prune22.0ms

localize12.0ms

rewrite47.0ms

series162.0ms

simplify76.0ms

prune81.0ms

localize7.0ms

rewrite24.0ms

series23.0ms

simplify50.0ms

prune22.0ms

regimes133.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample413.0ms

Profiling