Details

analyze900.0ms

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

sample25.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	75×	body	80	invalid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

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: 6.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
5.7b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite20.0ms

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:

5.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.0ms	(*.f64 y (-.f64 z t))
7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series40.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify39.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5000	603

prune76.0ms

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: 0b

Counts

70 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
6.5b	(*.f64 (/.f64 y a) (-.f64 t z))

rewrite15.0ms

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)))
9.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

series33.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
15.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5011	583

prune57.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 a (-.f64 z t))
0.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
4.8b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
19×	`difference-of-squares_binary64`
17×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 154

Calls

3 calls:

6.0ms	(/.f64 a (-.f64 z t))
21.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 a (-.f64 z t))
21.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
15.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4999	2110
1	4999	2110

prune119.0ms

Filtered

120 candidates to 163 candidates (-35.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	163	5	168

Merged error: 0b

Counts

168 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
0.0b	(/.f64 (-.f64 z t) a)
4.9b	(*.f64 y (/.f64 (-.f64 z t) a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

3.0ms	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
6.0ms	(/.f64 (-.f64 z t) a)
10.0ms	(*.f64 y (/.f64 (-.f64 z t) a))

series42.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
8.0ms	(/.f64 (-.f64 z t) a)
17.0ms	(*.f64 y (/.f64 (-.f64 z t) a))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5965	896

prune62.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	96	5	101

Merged error: 0b

Counts

101 → 5

regimes520.0ms

Accuracy

71.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	196	37
1	196	37

end0.0ms

sample690.0ms

Algorithm

intervals

Results

277.0ms	8000×	body	80	valid
83.0ms	2459×	body	80	invalid

Details

analyze900.0ms

sample25.0ms

simplify39.0ms

prune4.0ms

localize11.0ms

rewrite20.0ms

series40.0ms

simplify39.0ms

prune76.0ms

localize6.0ms

rewrite15.0ms

series33.0ms

simplify37.0ms

prune57.0ms

localize7.0ms

rewrite44.0ms

series45.0ms

simplify54.0ms

prune119.0ms

localize7.0ms

rewrite22.0ms

series42.0ms

simplify56.0ms

prune62.0ms

regimes520.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample690.0ms

Profiling