Details

analyze441.0ms

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

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	771	9
1	771	9

prune4.0ms

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: 8.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t z))
8.7b	(/.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)))

series39.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t z))
29.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5099	731

prune80.0ms

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 3 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
0.6b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))
0.7b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))

rewrite107.0ms

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:

6.0ms	(/.f64 x (-.f64 t z))
12.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))
29.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))

series79.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 x (-.f64 t z))
21.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 t z)))
50.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 t z))))

simplify107.0ms

Algorithm

egg-herbie

Counts

663 → 663

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5390	12927

prune373.0ms

Filtered

356 candidates to 663 candidates (-86.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	662	1	663
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	663	7	670

Merged error: 0b

Counts

670 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
2.1b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite29.0ms

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))

series40.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 x (-.f64 y z))
32.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

simplify65.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5407	3094

prune175.0ms

Filtered

128 candidates to 191 candidates (-49.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	191	7	198

Merged error: 0b

Counts

198 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 y z) x)
0.7b	(/.f64 1 (*.f64 (/.f64 (-.f64 y z) x) (-.f64 t z)))
1.8b	(*.f64 (/.f64 (-.f64 y z) x) (-.f64 t z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
31×	`add-exp-log_binary64`
25×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64` `associate-l_binary64`
11×	`div-exp_binary64`
8×	`pow1_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
6×	`cbrt-undiv_binary64`
5×	`flip3--_binary64` `associate-r_binary64` `associate-/r/_binary64` `flip--_binary64`
4×	`associate-/r_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-flip_binary64` `associate-*l/_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `inv-pow_binary64` `*-commutative_binary64`

Counts

3 → 121

Calls

3 calls:

6.0ms	(/.f64 (-.f64 y z) x)
14.0ms	(/.f64 1 (*.f64 (/.f64 (-.f64 y z) x) (-.f64 t z)))
12.0ms	(*.f64 (/.f64 (-.f64 y z) x) (-.f64 t z))

series72.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 y z) x)
49.0ms	(/.f64 1 (*.f64 (/.f64 (-.f64 y z) x) (-.f64 t z)))
16.0ms	(*.f64 (/.f64 (-.f64 y z) x) (-.f64 t z))

simplify63.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4965	1291
1	4965	1291

prune81.0ms

Filtered

85 candidates to 130 candidates (-52.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	130	7	137

Merged error: 0b

Counts

137 → 7

regimes494.0ms

Accuracy

0% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample461.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
11.0ms	378×	body	80	invalid

Details

analyze441.0ms

sample21.0ms

simplify31.0ms

prune4.0ms

localize7.0ms

rewrite22.0ms

series39.0ms

simplify38.0ms

prune80.0ms

localize8.0ms

rewrite107.0ms

series79.0ms

simplify107.0ms

prune373.0ms

localize7.0ms

rewrite29.0ms

series40.0ms

simplify65.0ms

prune175.0ms

localize8.0ms

rewrite37.0ms

series72.0ms

simplify63.0ms

prune81.0ms

regimes494.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample461.0ms

Profiling