Details

analyze483.0ms

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
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample19.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	40	9
1	40	9

prune7.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
0.2b	(.f64 (.f64 z z) 3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
6.0ms	(.f64 (.f64 z z) 3)

series17.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
4.0ms	(.f64 (.f64 z z) 3)

simplify55.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4940	295
1	4940	295

prune33.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 0b

Counts

38 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
5.0ms	(.f64 z (.f64 z 3))

series17.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
3.0ms	(.f64 z (.f64 z 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5454	285

prune25.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0b

Counts

40 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.0b	(+.f64 (.f64 x y) (.f64 z z))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`sum-log_binary64`
3×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`

Counts

3 → 38

Calls

3 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
4.0ms	(+.f64 (.f64 x y) (.f64 z z))
10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

series37.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
11.0ms	(+.f64 (.f64 x y) (.f64 z z))
14.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

simplify64.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4862	519
1	4862	519

prune26.0ms

Filtered

33 candidates to 47 candidates (-42.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	47	5	52

Merged error: 0b

Counts

52 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

0.2b

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

0.2b

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1_binary64`
33×	`add-exp-log_binary64`
27×	`pow-prod-down_binary64`
21×	`cbrt-unprod_binary64` `prod-exp_binary64`
20×	`add-cbrt-cube_binary64`
7×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64`
3×	`cbrt-prod_binary64`
2×	`associate-l_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 70

Calls

3 calls:

5.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

12.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

18.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

series43.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

10.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

14.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	591
1	4968	591

prune30.0ms

Filtered

40 candidates to 79 candidates (-97.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	79	5	84

Merged error: 0b

Counts

84 → 5

regimes245.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample426.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
13.0ms	439×	body	80	invalid

Details

analyze483.0ms

sample19.0ms

simplify6.0ms

prune7.0ms

localize6.0ms

rewrite12.0ms

series17.0ms

simplify55.0ms

prune33.0ms

localize6.0ms

rewrite11.0ms

series17.0ms

simplify41.0ms

prune25.0ms

localize7.0ms

rewrite23.0ms

series37.0ms

simplify64.0ms

prune26.0ms

localize10.0ms

rewrite38.0ms

series43.0ms

simplify53.0ms

prune30.0ms

regimes245.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample426.0ms

Profiling