Details

analyze641.0ms

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	67×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	733	9
1	733	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: 4.7b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

7.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series37.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 (-.f64 y x) z)
16.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
14.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5581	558

prune84.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Merged error: 0b

Counts

67 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_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-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
12.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series26.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5329	557

prune63.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Merged error: 0b

Counts

64 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.4b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
58×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 114

Calls

2 calls:

23.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series27.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
14.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5387	1677

prune102.0ms

Filtered

84 candidates to 120 candidates (-42.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0b

Counts

129 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
0.6b	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
4.8b	(/.f64 t (*.f64 (-.f64 y x) z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac_binary64`
32×	`add-exp-log_binary64`
31×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
12×	`associate-*l/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
5×	`associate-l_binary64` `prod-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-r_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 122

Calls

4 calls:

7.0ms	(*.f64 (-.f64 y x) z)
12.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
10.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
7.0ms	(/.f64 t (*.f64 (-.f64 y x) z))

series53.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 (-.f64 y x) z)
12.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
15.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
18.0ms	(/.f64 t (*.f64 (-.f64 y x) z))

simplify43.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5092	1333

prune81.0ms

Filtered

81 candidates to 134 candidates (-65.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	134	8	142

Merged error: 0b

Counts

142 → 8

regimes267.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms

sample557.0ms

Algorithm

intervals

Results

251.0ms	8000×	body	80	valid
61.0ms	2063×	body	80	invalid

Details

analyze641.0ms

sample21.0ms

simplify42.0ms

prune3.0ms

localize6.0ms

rewrite21.0ms

series37.0ms

simplify38.0ms

prune84.0ms

localize6.0ms

rewrite18.0ms

series26.0ms

simplify48.0ms

prune63.0ms

localize6.0ms

rewrite38.0ms

series27.0ms

simplify46.0ms

prune102.0ms

localize8.0ms

rewrite41.0ms

series53.0ms

simplify43.0ms

prune81.0ms

regimes267.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample557.0ms

Profiling