Details

analyze448.0ms

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
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	82×	body	128	invalid

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	1744	13
1	1744	13

prune1.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`distribute-lft-out--_binary64`
3×	`add-cube-cbrt_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 30

Calls

1 calls:

10.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5068	513

prune23.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
0.0b	(/.f64 (+.f64 x y) (*.f64 t 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
8×	`times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `associate-/l*_binary64`
3×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-rgt-out--_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 43

Calls

2 calls:

17.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
7.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

series131.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
56.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5092	844

prune33.0ms

Filtered

34 candidates to 49 candidates (-44.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	49	4	53

Merged error: 0b

Counts

53 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
22×	`associate-r_binary64`
18×	`add-cube-cbrt_binary64` `add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
6×	`unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64`
5×	`div-exp_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64`
2×	`rec-exp_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

1 → 63

Calls

1 calls:

20.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2))

simplify66.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6706	1124

prune34.0ms

Filtered

41 candidates to 66 candidates (-61.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Merged error: 0b

Counts

70 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
0.3b	(pow.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) 3)
33.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64`
30×	`times-frac_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`cbrt-prod_binary64`
20×	`unpow-prod-down_binary64` `cube-prod_binary64`
15×	`add-cube-cbrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`distribute-lft-out--_binary64`
6×	`distribute-lft-out_binary64` `difference-of-squares_binary64` `associate-/l*_binary64`
5×	`div-inv_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `cube-div_binary64` `prod-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `associate-/r*_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

3 → 108

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
11.0ms	(pow.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) 3)
9.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) 3))

series659.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
495.0ms	(pow.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) 3)
95.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5070	2203

prune52.0ms

Filtered

61 candidates to 117 candidates (-91.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	117	4	121

Merged error: 0b

Counts

121 → 4

regimes91.0ms

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	22	13
1	22	13

end0.0ms

sample607.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	128	valid
86.0ms	2815×	body	128	invalid

Details

analyze448.0ms

sample20.0ms

simplify142.0ms

prune1.0ms

localize7.0ms

rewrite12.0ms

series79.0ms

simplify48.0ms

prune23.0ms

localize8.0ms

rewrite28.0ms

series131.0ms

simplify40.0ms

prune33.0ms

localize8.0ms

rewrite26.0ms

series93.0ms

simplify66.0ms

prune34.0ms

localize12.0ms

rewrite41.0ms

series659.0ms

simplify47.0ms

prune52.0ms

regimes91.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample607.0ms

Profiling