Details

analyze869.0ms

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample27.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	89×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	718	9
1	718	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: 5.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
5.6b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-l*_binary64` `times-frac_binary64` `flip--_binary64`
2×	`associate-/l/_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` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

13.0ms	(*.f64 y (-.f64 z t))
6.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series41.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 y (-.f64 z t))
18.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
14.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify46.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5000	603

prune54.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
8.9b	(*.f64 (/.f64 y a) (-.f64 t z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
10.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

series36.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
16.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

simplify39.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5011	583

prune38.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 0b

Counts

64 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
0.7b	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
5.6b	(/.f64 a (*.f64 y (-.f64 z t)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

7.0ms	(*.f64 y (-.f64 z t))
13.0ms	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
10.0ms	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
7.0ms	(/.f64 a (*.f64 y (-.f64 z t)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(*.f64 y (-.f64 z t))
18.0ms	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
15.0ms	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
13.0ms	(/.f64 a (*.f64 y (-.f64 z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4999	1428
1	4999	1428

prune63.0ms

Filtered

86 candidates to 139 candidates (-61.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	139	6	145

Merged error: 0b

Counts

145 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
0.7b	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
9.3b	(/.f64 (/.f64 a y) (-.f64 z t))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

784×	`times-frac_binary64`
482×	`add-sqr-sqrt_binary64`
465×	`*-un-lft-identity_binary64`
327×	`add-cube-cbrt_binary64`
76×	`associate-/r*_binary64`
73×	`difference-of-squares_binary64`
68×	`distribute-lft-out--_binary64`
33×	`div-inv_binary64`
29×	`add-exp-log_binary64`
18×	`div-exp_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
9×	`cbrt-undiv_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 432

Calls

3 calls:

63.0ms	(-.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
20.0ms	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
9.0ms	(/.f64 (/.f64 a y) (-.f64 z t))

series46.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(-.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
15.0ms	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
12.0ms	(/.f64 (/.f64 a y) (-.f64 z t))

simplify105.0ms

Algorithm

egg-herbie

Counts

441 → 441

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4988	7167
1	4988	7167

prune183.0ms

Filtered

260 candidates to 441 candidates (-69.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	440	1	441
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	442	5	447

Merged error: 0b

Counts

447 → 5

regimes503.0ms

Accuracy

69.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	196	37
1	196	37

end0.0ms

sample728.0ms

Algorithm

intervals

Results

281.0ms	8000×	body	80	valid
90.0ms	2541×	body	80	invalid

Details

analyze869.0ms

sample27.0ms

simplify42.0ms

prune4.0ms

localize7.0ms

rewrite28.0ms

series41.0ms

simplify46.0ms

prune54.0ms

localize7.0ms

rewrite17.0ms

series36.0ms

simplify39.0ms

prune38.0ms

localize11.0ms

rewrite42.0ms

series56.0ms

simplify49.0ms

prune63.0ms

localize8.0ms

rewrite129.0ms

series46.0ms

simplify105.0ms

prune183.0ms

regimes503.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample728.0ms

Profiling