Details

analyze100.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

sample18.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4931	11
1	4931	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 x) (-.f64 3.0 x))
4.5b	(/.f64 (.f64 (-.f64 1.0 x) (-.f64 3.0 x)) (.f64 y 3.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`flip3--_binary64` `flip--_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `associate-/l/_binary64` `frac-times_binary64`
5×	`cbrt-unprod_binary64` `associate-r_binary64` `associate-l_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `div-exp_binary64` `associate-l/_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_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` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

10.0ms	(*.f64 (-.f64 1.0 x) (-.f64 3.0 x))
12.0ms	(/.f64 (.f64 (-.f64 1.0 x) (-.f64 3.0 x)) (.f64 y 3.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(*.f64 (-.f64 1.0 x) (-.f64 3.0 x))
8.0ms	(/.f64 (.f64 (-.f64 1.0 x) (-.f64 3.0 x)) (.f64 y 3.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5754	790

prune83.0ms

Filtered

47 candidates to 67 candidates (-42.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	5	68

Merged error: 0.0b

Counts

68 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 x) y)
0.0b	(/.f64 (-.f64 3.0 x) 3.0)
0.1b	(*.f64 (/.f64 (-.f64 1.0 x) y) (/.f64 (-.f64 3.0 x) 3.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt_binary64`
69×	`*-un-lft-identity_binary64`
64×	`times-frac_binary64`
41×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/l*_binary64`
6×	`associate-/r*_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`associate-/l/_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 138

Calls

3 calls:

6.0ms	(/.f64 (-.f64 1.0 x) y)
6.0ms	(/.f64 (-.f64 3.0 x) 3.0)
17.0ms	(*.f64 (/.f64 (-.f64 1.0 x) y) (/.f64 (-.f64 3.0 x) 3.0))

series21.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 (-.f64 1.0 x) y)
5.0ms	(/.f64 (-.f64 3.0 x) 3.0)
11.0ms	(*.f64 (/.f64 (-.f64 1.0 x) y) (/.f64 (-.f64 3.0 x) 3.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5608	1578

prune146.0ms

Filtered

103 candidates to 147 candidates (-42.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	147	5	152

Merged error: 0b

Counts

152 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 x) y)
0.1b	(/.f64 (-.f64 3.0 x) (cbrt.f64 3.0))
0.2b	(/.f64 (/.f64 (-.f64 1.0 x) y) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))
0.3b	(.f64 (/.f64 (/.f64 (-.f64 1.0 x) y) (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (/.f64 (-.f64 3.0 x) (cbrt.f64 3.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac_binary64`
157×	`add-sqr-sqrt_binary64`
130×	`*-un-lft-identity_binary64`
78×	`add-cube-cbrt_binary64`
61×	`add-exp-log_binary64`
43×	`add-cbrt-cube_binary64`
36×	`cbrt-prod_binary64`
34×	`associate-r_binary64`
29×	`associate-/l*_binary64`
26×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
25×	`cbrt-undiv_binary64` `div-exp_binary64`
23×	`associate-l_binary64`
16×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`associate-/r*_binary64`
9×	`unswap-sqr_binary64`
8×	`div-inv_binary64`
6×	`pow1_binary64`
5×	`associate-/l/_binary64`
4×	`add-log-exp_binary64` `div-sub_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 251

Calls

4 calls:

6.0ms	(/.f64 (-.f64 1.0 x) y)
9.0ms	(/.f64 (-.f64 3.0 x) (cbrt.f64 3.0))
11.0ms	(/.f64 (/.f64 (-.f64 1.0 x) y) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))
29.0ms	(.f64 (/.f64 (/.f64 (-.f64 1.0 x) y) (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (/.f64 (-.f64 3.0 x) (cbrt.f64 3.0)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 (-.f64 1.0 x) y)
11.0ms	(/.f64 (-.f64 3.0 x) (cbrt.f64 3.0))
25.0ms	(/.f64 (/.f64 (-.f64 1.0 x) y) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))
15.0ms	(.f64 (/.f64 (/.f64 (-.f64 1.0 x) y) (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (/.f64 (-.f64 3.0 x) (cbrt.f64 3.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5085	3635

prune331.0ms

Filtered

183 candidates to 263 candidates (-43.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	263	5	268

Merged error: 0b

Counts

268 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 x) y)
0.3b	(*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x))
0.4b	(/.f64 (*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x)) 3.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`associate-/l/_binary64`
6×	`associate-/r_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-exp_binary64`
5×	`pow1_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
4×	`cbrt-unprod_binary64` `associate-*r/_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `div-inv_binary64`
2×	`sub-neg_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `*-commutative_binary64`

Counts

3 → 112

Calls

3 calls:

6.0ms	(/.f64 (-.f64 1.0 x) y)
12.0ms	(*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x))
14.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x)) 3.0)

series21.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 (-.f64 1.0 x) y)
7.0ms	(*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x))
9.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1.0 x) y) (-.f64 3.0 x)) 3.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4976	1292
1	4976	1292

prune116.0ms

Filtered

86 candidates to 121 candidates (-40.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

regimes79.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample396.0ms

Algorithm

intervals

Results

256.0ms	8000×	body	80	valid
10.0ms	311×	body	80	invalid

Details

analyze100.0ms

sample18.0ms

simplify106.0ms

prune7.0ms

localize7.0ms

rewrite23.0ms

series11.0ms

simplify40.0ms

prune83.0ms

localize7.0ms

rewrite33.0ms

series21.0ms

simplify49.0ms

prune146.0ms

localize10.0ms

rewrite66.0ms

series56.0ms

simplify55.0ms

prune331.0ms

localize7.0ms

rewrite36.0ms

series21.0ms

simplify46.0ms

prune116.0ms

regimes79.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample396.0ms

Profiling