Details

analyze596.0ms

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample30.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
7.0ms	113×	body	80	invalid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5007	13

prune8.0ms

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: 14.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
1.3b	(-.f64 (.f64 z z) (.f64 x x))
14.2b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

10.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))
7.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

series35.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
6.0ms	(-.f64 (.f64 z z) (.f64 x x))
13.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4921	916
1	4921	916

prune56.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
4×	`associate-l_binary64`
3×	`associate-/r*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 92

Calls

3 calls:

11.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
6.0ms	(/.f64 (-.f64 z x) y)
13.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

series35.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
9.0ms	(/.f64 (-.f64 z x) y)
13.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5076	1086

prune48.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	100	5	105

Merged error: 0b

Counts

105 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
0.0b	(/.f64 y (-.f64 z x))
0.2b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

177×	`times-frac_binary64`
164×	`*-un-lft-identity_binary64`
127×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
22×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
20×	`distribute-lft-out--_binary64`
13×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `flip-+_binary64`

Counts

3 → 178

Calls

3 calls:

51.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
10.0ms	(/.f64 y (-.f64 z x))
21.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
8.0ms	(/.f64 y (-.f64 z x))
13.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5109	2861

prune77.0ms

Filtered

121 candidates to 187 candidates (-54.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	187	5	192

Merged error: 0b

Counts

192 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y)) y)
1.3b	(-.f64 (.f64 z z) (.f64 x x))
14.2b	(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `add-exp-log_binary64`
11×	`add-cube-cbrt_binary64` `times-frac_binary64`
8×	`add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
5×	`pow1_binary64`
4×	`flip3--_binary64` `associate-l_binary64` `prod-exp_binary64` `flip--_binary64`
3×	`unswap-sqr_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `difference-of-squares_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

10.0ms	(-.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y)) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))
11.0ms	(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y))

series35.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(-.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y)) y)
6.0ms	(-.f64 (.f64 z z) (.f64 x x))
13.0ms	(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5728	860

prune29.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	73	5	78

Merged error: 0b

Counts

78 → 5

regimes231.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

end0.0ms

sample712.0ms

Algorithm

intervals

Results

342.0ms	8000×	body	80	valid
120.0ms	2929×	body	80	invalid

Details

analyze596.0ms

sample30.0ms

simplify48.0ms

prune8.0ms

localize8.0ms

rewrite23.0ms

series35.0ms

simplify66.0ms

prune56.0ms

localize8.0ms

rewrite33.0ms

series35.0ms

simplify54.0ms

prune48.0ms

localize10.0ms

rewrite91.0ms

series34.0ms

simplify57.0ms

prune77.0ms

localize10.0ms

rewrite28.0ms

series35.0ms

simplify51.0ms

prune29.0ms

regimes231.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample712.0ms

Profiling