Details

analyze252.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

simplify266.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune4.0ms

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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

8.0ms	(*.f64 m (-.f64 1 m))
18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series178.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(*.f64 m (-.f64 1 m))
46.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
68.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify38.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5104	1553

prune90.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 m (*.f64 m (neg.f64 m)))
0.0b	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) (-.f64 1 m))
0.0b	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
10×	`associate-l_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `flip--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`frac-times_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `distribute-rgt-neg-out_binary64` `associate-r/_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `unsub-neg_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 80

Calls

3 calls:

3.0ms	(+.f64 m (*.f64 m (neg.f64 m)))
18.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) (-.f64 1 m))
8.0ms	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)

series156.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+.f64 m (*.f64 m (neg.f64 m)))
44.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) (-.f64 1 m))
57.0ms	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)

simplify64.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5567	1755

prune76.0ms

Filtered

71 candidates to 89 candidates (-25.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
22×	`flip3--_binary64` `flip--_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-*l/_binary64`
14×	`associate-r_binary64`
13×	`flip3-+_binary64` `flip-+_binary64`
12×	`associate-*r/_binary64`
11×	`pow1_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-l_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `distribute-lft-out_binary64`
3×	`associate-/r*_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`difference-of-sqr-1_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 122

Calls

4 calls:

5.0ms	(+.f64 1 (sqrt.f64 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
26.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+.f64 1 (sqrt.f64 m))
53.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
78.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
88.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))

simplify67.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5368	3799

prune154.0ms

Filtered

103 candidates to 134 candidates (-30.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	135	4	139

Merged error: 0b

Counts

139 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b	(.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 (+.f64 1 (sqrt.f64 m)))) (sqrt.f64 (+.f64 1 (sqrt.f64 m)))) (-.f64 1 (sqrt.f64 m)))
0.1b	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 (+.f64 1 (sqrt.f64 m)))) (sqrt.f64 (+.f64 1 (sqrt.f64 m))))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 (+.f64 1 (sqrt.f64 m))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

168×	`frac-times_binary64`
150×	`sqrt-div_binary64`
84×	`associate-*l/_binary64`
75×	`flip3-+_binary64` `flip-+_binary64`
67×	`flip3--_binary64` `flip--_binary64`
38×	`associate-*r/_binary64`
29×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
25×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow1_binary64`
16×	`sqrt-prod_binary64`
12×	`add-cube-cbrt_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`pow-prod-down_binary64`
9×	`associate-l_binary64`
6×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64`
3×	`associate-/r_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 217

Calls

4 calls:

8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
37.0ms	(.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 (+.f64 1 (sqrt.f64 m)))) (sqrt.f64 (+.f64 1 (sqrt.f64 m)))) (-.f64 1 (sqrt.f64 m)))
28.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 (+.f64 1 (sqrt.f64 m)))) (sqrt.f64 (+.f64 1 (sqrt.f64 m))))
20.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 (+.f64 1 (sqrt.f64 m))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
80.0ms	(.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 (+.f64 1 (sqrt.f64 m)))) (sqrt.f64 (+.f64 1 (sqrt.f64 m)))) (-.f64 1 (sqrt.f64 m)))
93.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 (+.f64 1 (sqrt.f64 m)))) (sqrt.f64 (+.f64 1 (sqrt.f64 m))))
157.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 (+.f64 1 (sqrt.f64 m))))

simplify115.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4968	9796
1	4968	9796

prune308.0ms

Filtered

157 candidates to 229 candidates (-45.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	229	4	233

Merged error: 0b

Counts

233 → 4

regimes29.0ms

Accuracy

0% (0.0b 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	47	19
1	47	19

end0.0ms

sample549.0ms

Algorithm

intervals

Results

255.0ms	8000×	body	128	valid
148.0ms	8049×	pre	128	true
2.0ms	49×	body	128	invalid

Details

analyze252.0ms

sample23.0ms

simplify266.0ms

prune4.0ms

localize8.0ms

rewrite44.0ms

series178.0ms

simplify38.0ms

prune90.0ms

localize9.0ms

rewrite37.0ms

series156.0ms

simplify64.0ms

prune76.0ms

localize11.0ms

rewrite72.0ms

series241.0ms

simplify67.0ms

prune154.0ms

localize14.0ms

rewrite145.0ms

series378.0ms

simplify115.0ms

prune308.0ms

regimes29.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample549.0ms

Profiling