Details

analyze468.0ms

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	128	valid
0.0ms	13×	body	128	invalid

simplify164.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (157.0ms)

Iter	Nodes	Cost
0	5014	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: 1.4b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
7.3b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/r/_binary64`
7×	`*-un-lft-identity_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `frac-times_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`pow1_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `div-exp_binary64` `associate-l/_binary64`
1×	`associate-/r*_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`

Counts

2 → 43

Calls

2 calls:

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

series407.0ms

Counts

2 → 6

Calls

2 calls:

215.0ms	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
192.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5035	899

prune45.0ms

Filtered

38 candidates to 49 candidates (-28.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Merged error: 0b

Counts

50 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
0.0b	(-.f64 1 (/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))))
0.8b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
2.2b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

1284×	`times-frac_binary64`
884×	`add-sqr-sqrt_binary64`
861×	`*-un-lft-identity_binary64`
469×	`add-cube-cbrt_binary64`
202×	`difference-of-squares_binary64`
190×	`distribute-lft-out--_binary64`
136×	`associate-/r*_binary64`
60×	`associate-/r/_binary64`
34×	`div-inv_binary64`
29×	`flip3--_binary64` `flip--_binary64`
26×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
13×	`div-exp_binary64`
11×	`associate-/l*_binary64`
10×	`cbrt-undiv_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 678

Calls

4 calls:

6.0ms	(/.f64 x (-.f64 y t))
123.0ms	(-.f64 1 (/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))))
31.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
16.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/.f64 x (-.f64 y t))
138.0ms	(-.f64 1 (/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))))
323.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
104.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

simplify224.0ms

Algorithm

egg-herbie

Counts

690 → 690

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4995	21021
1	4995	21021

prune361.0ms

Filtered

373 candidates to 690 candidates (-85.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	690	0	690
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	690	4	694

Merged error: 0b

Counts

694 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.0b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
0.0b	(/.f64 x (-.f64 y t))
2.4b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 158

Calls

4 calls:

6.0ms	(/.f64 1 (-.f64 y z))
4.0ms	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
6.0ms	(/.f64 x (-.f64 y t))
24.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/.f64 1 (-.f64 y z))
139.0ms	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
63.0ms	(/.f64 x (-.f64 y t))
303.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5002	2543

prune99.0ms

Filtered

115 candidates to 170 candidates (-47.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	170	4	174

Merged error: 0b

Counts

174 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t)))))
0.5b	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
7.2b	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
15×	`associate-r_binary64`
13×	`flip3--_binary64` `flip--_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`prod-exp_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `frac-times_binary64`
6×	`times-frac_binary64`
5×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64`
4×	`cbrt-undiv_binary64` `rec-exp_binary64` `div-exp_binary64` `associate-*l/_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `div-inv_binary64` `pow-flip_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `-commutative_binary64`

Counts

3 → 83

Calls

3 calls:

4.0ms	(-.f64 1 (.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t)))))
11.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
16.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

series515.0ms

Counts

3 → 9

Calls

3 calls:

226.0ms	(-.f64 1 (.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t)))))
114.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
176.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4992	1429
1	4992	1429

prune53.0ms

Filtered

62 candidates to 92 candidates (-48.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	92	4	96

Merged error: 0b

Counts

96 → 4

regimes59.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	19
1	57	19

end0.0ms

sample492.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	128	valid
15.0ms	387×	body	128	invalid

Details

analyze468.0ms

sample17.0ms

simplify164.0ms

prune1.0ms

localize8.0ms

rewrite23.0ms

series407.0ms

simplify48.0ms

prune45.0ms

localize9.0ms

rewrite300.0ms

series632.0ms

simplify224.0ms

prune361.0ms

localize9.0ms

rewrite55.0ms

series550.0ms

simplify63.0ms

prune99.0ms

localize11.0ms

rewrite38.0ms

series515.0ms

simplify54.0ms

prune53.0ms

regimes59.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample492.0ms

Profiling