Details

analyze404.0ms

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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify259.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (256.0ms)

Iter	Nodes	Cost
0	4940	9
1	4940	9

prune3.0ms

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: 9.6b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))
9.0b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
6.0ms	(*.f64 y (-.f64 z x))
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

series32.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
12.0ms	(*.f64 y (-.f64 z x))
12.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4893	763
1	4893	763

prune86.0ms

Filtered

53 candidates to 75 candidates (-41.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	8	76

Merged error: 9.5b

Counts

76 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
0.6b	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
9.0b	(/.f64 (+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x)))) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
4.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
10.0ms	(/.f64 (+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x)))) z)

series32.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
8.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
15.0ms	(/.f64 (+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x)))) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4977	785
1	4977	785

prune67.0ms

Filtered

49 candidates to 71 candidates (-44.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	74	5	79

Merged error: 2.3b

Counts

79 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
0.0b	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
2.3b	(/.f64 (-.f64 (*.f64 x y) x) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `difference-of-squares_binary64`
1×	`cbrt-undiv_binary64` `associate--r-_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 56

Calls

3 calls:

4.0ms	(-.f64 (*.f64 x y) x)
10.0ms	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
6.0ms	(/.f64 (-.f64 (*.f64 x y) x) z)

series24.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(-.f64 (*.f64 x y) x)
9.0ms	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
10.0ms	(/.f64 (-.f64 (*.f64 x y) x) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	6036	715

prune61.0ms

Filtered

48 candidates to 65 candidates (-35.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 2.3b

Counts

70 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))
9.0b	(/.f64 (+.f64 x (.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))) (cbrt.f64 (-.f64 z x)))) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
9×	`times-frac_binary64`
6×	`cbrt-div_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 74

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z x))
3.0ms	(cbrt.f64 (-.f64 z x))
3.0ms	(cbrt.f64 (-.f64 z x))
6.0ms	(/.f64 (+.f64 x (.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))) (cbrt.f64 (-.f64 z x)))) z)

series97.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (-.f64 z x))
27.0ms	(cbrt.f64 (-.f64 z x))
29.0ms	(cbrt.f64 (-.f64 z x))
13.0ms	(/.f64 (+.f64 x (.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))) (cbrt.f64 (-.f64 z x)))) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4924	899
1	4924	899

prune73.0ms

Filtered

74 candidates to 86 candidates (-16.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

regimes207.0ms

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	42	11
1	42	11

end0.0ms

sample446.0ms

Algorithm

intervals

Results

235.0ms	8000×	body	80	valid
30.0ms	1076×	body	80	invalid

Details

analyze404.0ms

sample17.0ms

simplify259.0ms

prune3.0ms

localize6.0ms

rewrite17.0ms

series32.0ms

simplify67.0ms

prune86.0ms

localize8.0ms

rewrite22.0ms

series32.0ms

simplify56.0ms

prune67.0ms

localize6.0ms

rewrite21.0ms

series24.0ms

simplify47.0ms

prune61.0ms

localize10.0ms

rewrite17.0ms

series97.0ms

simplify61.0ms

prune73.0ms

regimes207.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample446.0ms

Profiling