Details

analyze455.0ms

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

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	5013	11

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: 0.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
8.0b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite25.0ms

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

series27.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
20.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4986	729
1	4986	729

prune75.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

8.0b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
23.6b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
23.6b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
23.6b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
32×	`associate-/r/_binary64`
24×	`flip3--_binary64` `flip--_binary64`
16×	`frac-times_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-r/_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `div-inv_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`

Counts

4 → 101

Calls

4 calls:

10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

series184.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
55.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
53.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
56.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

simplify43.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5379	1713

prune118.0ms

Filtered

103 candidates to 113 candidates (-9.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
0.0b	(/.f64 1 (-.f64 y z))
1.7b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 150

Calls

3 calls:

9.0ms	(/.f64 x (-.f64 y t))
11.0ms	(/.f64 1 (-.f64 y z))
20.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 x (-.f64 y t))
5.0ms	(/.f64 1 (-.f64 y z))
37.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4972	1511
1	4972	1511

prune112.0ms

Filtered

102 candidates to 159 candidates (-55.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Merged error: 0.0b

Counts

163 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

2.1b	(.f64 (-.f64 y z) (-.f64 (.f64 y y) (*.f64 t t)))
3.1b	(-.f64 (.f64 y y) (.f64 t t))
7.4b	(/.f64 x (.f64 (-.f64 y z) (-.f64 (.f64 y y) (*.f64 t t))))
10.5b	(.f64 (/.f64 x (.f64 (-.f64 y z) (-.f64 (.f64 y y) (.f64 t t)))) (+.f64 y t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
19×	`flip3--_binary64` `flip--_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-/r/_binary64`
15×	`*-un-lft-identity_binary64`
14×	`frac-times_binary64`
11×	`add-cube-cbrt_binary64`
8×	`pow1_binary64` `associate-r_binary64` `associate-*r/_binary64`
7×	`associate-*l/_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`sub-neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-inv_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64`

Counts

4 → 114

Calls

4 calls:

10.0ms	(.f64 (-.f64 y z) (-.f64 (.f64 y y) (*.f64 t t)))
5.0ms	(-.f64 (.f64 y y) (.f64 t t))
11.0ms	(/.f64 x (.f64 (-.f64 y z) (-.f64 (.f64 y y) (*.f64 t t))))
17.0ms	(.f64 (/.f64 x (.f64 (-.f64 y z) (-.f64 (.f64 y y) (.f64 t t)))) (+.f64 y t))

series87.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(.f64 (-.f64 y z) (-.f64 (.f64 y y) (*.f64 t t)))
6.0ms	(-.f64 (.f64 y y) (.f64 t t))
32.0ms	(/.f64 x (.f64 (-.f64 y z) (-.f64 (.f64 y y) (*.f64 t t))))
37.0ms	(.f64 (/.f64 x (.f64 (-.f64 y z) (-.f64 (.f64 y y) (.f64 t t)))) (+.f64 y t))

simplify53.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5030	1697

prune104.0ms

Filtered

95 candidates to 126 candidates (-32.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	125	5	130

Merged error: 0b

Counts

130 → 5

regimes407.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	11
1	44	11

end0.0ms

sample513.0ms

Algorithm

intervals

Results

286.0ms	8000×	body	80	valid
13.0ms	387×	body	80	invalid

Details

analyze455.0ms

sample19.0ms

simplify138.0ms

prune4.0ms

localize8.0ms

rewrite25.0ms

series27.0ms

simplify41.0ms

prune75.0ms

localize12.0ms

rewrite41.0ms

series184.0ms

simplify43.0ms

prune118.0ms

localize9.0ms

rewrite47.0ms

series49.0ms

simplify66.0ms

prune112.0ms

localize12.0ms

rewrite49.0ms

series87.0ms

simplify53.0ms

prune104.0ms

regimes407.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample513.0ms

Profiling