Details

analyze429.0ms

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
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample19.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	771	9
1	771	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: 8.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t z))
8.5b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite22.0ms

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

series37.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (-.f64 y z) (-.f64 t z))
29.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5099	731

prune46.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Merged error: 0b

Counts

68 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
16×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 185

Calls

2 calls:

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

series36.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 x (-.f64 y z))
29.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

simplify66.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5407	3094

prune68.0ms

Filtered

128 candidates to 191 candidates (-49.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	191	7	198

Merged error: 0b

Counts

198 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
0.0b	(/.f64 1 (-.f64 t z))
1.4b	(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 t z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 151

Calls

3 calls:

6.0ms	(/.f64 x (-.f64 y z))
6.0ms	(/.f64 1 (-.f64 t z))
21.0ms	(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 t z)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 x (-.f64 y z))
5.0ms	(/.f64 1 (-.f64 t z))
29.0ms	(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 t z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4963	1507
1	4963	1507

prune59.0ms

Filtered

99 candidates to 160 candidates (-61.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	161	6	167

Merged error: 0b

Counts

167 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
2.6b	(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
16×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 185

Calls

2 calls:

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

series37.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 x (-.f64 t z))
29.0ms	(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))

simplify69.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5407	3094

prune56.0ms

Filtered

128 candidates to 191 candidates (-49.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	191	6	197

Merged error: 0b

Counts

197 → 6

regimes272.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample466.0ms

Algorithm

intervals

Results

246.0ms	8000×	body	80	valid
10.0ms	361×	body	80	invalid

Details

analyze429.0ms

sample19.0ms

simplify32.0ms

prune3.0ms

localize6.0ms

rewrite22.0ms

series37.0ms

simplify40.0ms

prune46.0ms

localize8.0ms

rewrite30.0ms

series36.0ms

simplify66.0ms

prune68.0ms

localize8.0ms

rewrite41.0ms

series41.0ms

simplify66.0ms

prune59.0ms

localize6.0ms

rewrite32.0ms

series37.0ms

simplify69.0ms

prune56.0ms

regimes272.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample466.0ms

Profiling