Details

analyze339.0ms

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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	254×	body	80	valid
1.0ms	24×	body	80	invalid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	134	7
1	134	7

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_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 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify60.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4953	218
1	4953	218

prune30.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-l_binary64` `sum-log_binary64`
3×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
2×	`+-commutative_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

6.0ms	(*.f64 (+.f64 d3 5) d1)
5.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
8.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

series23.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 (+.f64 d3 5) d1)
8.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
10.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

simplify40.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5384	466

prune52.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1))
0.2b	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
11×	`associate-l_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
3×	`distribute-lft-out_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1))
12.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1)))

series26.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(*.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1))
13.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1)))

simplify49.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5025	521

prune45.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Merged error: 0b

Counts

59 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
0.3b	(pow.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))) 3)
36.5b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-*r/_binary64`
5×	`associate-r_binary64`
4×	`cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `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 → 67

Calls

3 calls:

10.0ms	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
9.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))) 3))

series37.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
18.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))) 3)
11.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))) 3))

simplify29.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5934	778

prune60.0ms

Filtered

49 candidates to 76 candidates (-55.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	76	4	80

Merged error: 0b

Counts

80 → 4

regimes238.0ms

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	10	7
1	10	7

end0.0ms

sample526.0ms

Algorithm

intervals

Results

307.0ms	7954×	body	80	valid
25.0ms	691×	body	80	invalid
2.0ms	17×	body	640	valid
1.0ms	14×	body	320	valid
1.0ms	8×	body	1280	valid
1.0ms	7×	body	160	valid

Details

analyze339.0ms

sample20.0ms

simplify7.0ms

prune11.0ms

localize5.0ms

rewrite9.0ms

series10.0ms

simplify60.0ms

prune30.0ms

localize8.0ms

rewrite20.0ms

series23.0ms

simplify40.0ms

prune52.0ms

localize8.0ms

rewrite23.0ms

series26.0ms

simplify49.0ms

prune45.0ms

localize8.0ms

rewrite24.0ms

series37.0ms

simplify29.0ms

prune60.0ms

regimes238.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample526.0ms

Profiling