Details

analyze442.0ms

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify213.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (203.0ms)

Iter	Nodes	Cost
0	5015	16

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: 0.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
6.7b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`pow1_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

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

series107.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
82.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4997	1078
1	4997	1078

prune52.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
0.7b	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
6.3b	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log_binary64`
20×	`associate-r_binary64`
19×	`add-cbrt-cube_binary64`
18×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
16×	`associate-/r/_binary64`
14×	`*-un-lft-identity_binary64` `prod-exp_binary64`
12×	`frac-times_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`associate-l_binary64` `div-exp_binary64`
7×	`associate-*r/_binary64`
6×	`cbrt-unprod_binary64` `times-frac_binary64` `associate-*l/_binary64`
4×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
2×	`sub-neg_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `pow-flip_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64`

Counts

3 → 108

Calls

3 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
12.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
15.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

series162.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
55.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
83.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

simplify74.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5059	1754

prune68.0ms

Filtered

75 candidates to 117 candidates (-56.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

6.7b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
22.7b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
22.7b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
22.7b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
32×	`associate-/r/_binary64`
24×	`flip3--_binary64` `flip--_binary64`
16×	`frac-times_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-r/_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `div-inv_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`

Counts

4 → 101

Calls

4 calls:

12.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

series738.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
219.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
214.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
229.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

simplify77.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5136	2587

prune113.0ms

Filtered

103 candidates to 113 candidates (-9.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
0.6b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
2.3b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

1260×	`times-frac_binary64`
844×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
468×	`add-cube-cbrt_binary64`
188×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
136×	`associate-/r*_binary64`
60×	`associate-/r/_binary64`
33×	`div-inv_binary64`
31×	`add-exp-log_binary64`
28×	`flip3--_binary64` `flip--_binary64`
19×	`add-cbrt-cube_binary64` `div-exp_binary64`
11×	`associate-/l*_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 654

Calls

3 calls:

10.0ms	(/.f64 x (-.f64 y t))
39.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
12.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/.f64 x (-.f64 y t))
136.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
47.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

simplify193.0ms

Algorithm

egg-herbie

Counts

663 → 663

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5139	20157

prune357.0ms

Filtered

356 candidates to 663 candidates (-86.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	663	0	663
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	663	4	667

Merged error: 0b

Counts

667 → 4

regimes75.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	16
1	46	16

end0.0ms

sample477.0ms

Algorithm

intervals

Results

262.0ms	8000×	body	80	valid
13.0ms	421×	body	80	invalid

Details

analyze442.0ms

sample17.0ms

simplify213.0ms

prune1.0ms

localize8.0ms

rewrite21.0ms

series107.0ms

simplify66.0ms

prune52.0ms

localize8.0ms

rewrite41.0ms

series162.0ms

simplify74.0ms

prune68.0ms

localize12.0ms

rewrite44.0ms

series738.0ms

simplify77.0ms

prune113.0ms

localize8.0ms

rewrite159.0ms

series212.0ms

simplify193.0ms

prune357.0ms

regimes75.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample477.0ms

Profiling