Details

analyze566.0ms

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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify291.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (282.0ms)

Iter	Nodes	Cost
0	5405	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: 1.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
1.8b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
16.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

series147.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
104.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

simplify80.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5026	1792

prune65.0ms

Filtered

72 candidates to 108 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
0.2b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
1.8b	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac_binary64`
335×	`add-sqr-sqrt_binary64`
323×	`*-un-lft-identity_binary64`
157×	`add-cube-cbrt_binary64`
98×	`associate-l_binary64`
82×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`associate-/l*_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 326

Calls

3 calls:

8.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
12.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
26.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)

series271.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
89.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
143.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)

simplify101.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5095	6673

prune170.0ms

Filtered

198 candidates to 335 candidates (-69.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	335	4	339

Merged error: 0.0b

Counts

339 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
1.8b	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

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

series187.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
140.0ms	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

simplify102.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5010	4887

prune96.0ms

Filtered

134 candidates to 200 candidates (-49.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	200	4	204

Merged error: 0.0b

Counts

204 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 z y))
0.2b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
1.8b	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
31×	`add-exp-log_binary64`
24×	`associate-r_binary64` `add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`
11×	`pow1_binary64`
10×	`associate-*l/_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64`
6×	`flip3--_binary64` `associate-l_binary64` `div-exp_binary64` `flip--_binary64`
5×	`associate-/r*_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`associate-r/_binary64` `un-div-inv_binary64` `div-inv_binary64` `-commutative_binary64`
1×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`

Counts

3 → 119

Calls

3 calls:

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

series173.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/.f64 1 (-.f64 z y))
40.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
109.0ms	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

simplify86.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5751	1618

prune54.0ms

Filtered

76 candidates to 128 candidates (-68.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	128	4	132

Merged error: 0.0b

Counts

132 → 4

regimes40.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms

sample489.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	80	valid
17.0ms	566×	body	80	invalid

Details

analyze566.0ms

sample18.0ms

simplify291.0ms

prune1.0ms

localize7.0ms

rewrite28.0ms

series147.0ms

simplify80.0ms

prune65.0ms

localize8.0ms

rewrite66.0ms

series271.0ms

simplify101.0ms

prune170.0ms

localize7.0ms

rewrite36.0ms

series187.0ms

simplify102.0ms

prune96.0ms

localize8.0ms

rewrite36.0ms

series173.0ms

simplify86.0ms

prune54.0ms

regimes40.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample489.0ms

Profiling