Details

analyze721.0ms

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
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

sample26.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	73×	body	80	invalid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	1063	9
1	1063	9

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
6×	`diff-log_binary64`
4×	`add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3--_binary64` `associate-+l-_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `associate--l-_binary64` `associate-+l+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

3 → 42

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series32.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
11.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
8.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify44.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5175	514

prune56.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
7×	`associate-r_binary64`
6×	`associate-*r/_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`flip3--_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

14.0ms

(*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))

simplify42.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4926	376
1	4926	376

prune25.0ms

Filtered

21 candidates to 33 candidates (-57.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	33	3	36

Merged error: 0b

Counts

36 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))
0.3b	(pow.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))) 3)
31.2b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`associate-*r/_binary64`
12×	`flip3--_binary64` `frac-add_binary64` `cube-div_binary64` `flip--_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

3 → 81

Calls

3 calls:

13.0ms	(*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))
16.0ms	(pow.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))) 3)
4.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))) 3))

series179.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))
149.0ms	(pow.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))) 3)
19.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4972	1347
1	4972	1347

prune69.0ms

Filtered

65 candidates to 90 candidates (-38.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0b

Counts

93 → 3

regimes258.0ms

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	51	15
1	51	15

end0.0ms

sample725.0ms

Algorithm

intervals

Results

350.0ms	8000×	body	80	valid
101.0ms	2286×	body	80	invalid

Details

analyze721.0ms

sample26.0ms

simplify64.0ms

prune11.0ms

localize15.0ms

rewrite21.0ms

series32.0ms

simplify44.0ms

prune56.0ms

localize6.0ms

rewrite16.0ms

series11.0ms

simplify42.0ms

prune25.0ms

localize10.0ms

rewrite36.0ms

series179.0ms

simplify48.0ms

prune69.0ms

regimes258.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample725.0ms

Profiling