Details

analyze83.0ms

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

sample41.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
6.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify853.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (238.0ms)

Iter	Nodes	Cost
0	4900	19
1	4900	19

prune14.0ms

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

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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:

7.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
24.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series131.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(*.f64 m (-.f64 1 m))
47.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
40.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

simplify173.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	5100	1558

prune622.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

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: 0.0b

Counts

93 → 5

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
0.1b	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
0.2b	(*.f64 (/.f64 m v) m)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
20×	`associate-l_binary64`
19×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
9×	`associate-r_binary64`
7×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
5×	`add-log-exp_binary64` `associate-*l/_binary64`
4×	`difference-of-squares_binary64` `frac-times_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `div-exp_binary64` `sub-div_binary64` `frac-sub_binary64`

Counts

3 → 80

Calls

3 calls:

7.0ms	(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
17.0ms	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
7.0ms	(*.f64 (/.f64 m v) m)

series61.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
25.0ms	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
16.0ms	(*.f64 (/.f64 m v) m)

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5073	1543

prune340.0ms

Filtered

70 candidates to 89 candidates (-27.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
11×	`difference-of-squares_binary64`
10×	`associate-l_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64`
4×	`frac-times_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_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`

Counts

3 → 89

Calls

3 calls:

6.0ms	(-.f64 m (*.f64 m m))
11.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
36.0ms	(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))

series137.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(-.f64 m (*.f64 m m))
51.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
53.0ms	(.f64 (-.f64 (/.f64 (-.f64 m (.f64 m m)) v) 1) (-.f64 1 m))

simplify74.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5042	1897

prune475.0ms

Filtered

77 candidates to 98 candidates (-27.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3)))
0.0b	(.f64 v (+.f64 1 (+.f64 m (.f64 m m))))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) (-.f64 1 m))
0.1b	(/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (*.f64 m m)))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64`
44×	`associate-r_binary64`
37×	`*-un-lft-identity_binary64`
28×	`difference-of-squares_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
13×	`associate-l_binary64`
10×	`pow1_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `sqr-pow_binary64`
8×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`difference-cubes_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `cube-mult_binary64`

Counts

4 → 136

Calls

4 calls:

38.0ms	(*.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3)))
15.0ms	(.f64 v (+.f64 1 (+.f64 m (.f64 m m))))
59.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) (-.f64 1 m))
22.0ms	(/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (*.f64 m m)))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(*.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3)))
55.0ms	(.f64 v (+.f64 1 (+.f64 m (.f64 m m))))
98.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) (-.f64 1 m))
104.0ms	(/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (*.f64 m m)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5499	3175

prune576.0ms

Filtered

97 candidates to 148 candidates (-52.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	149	4	153

Merged error: 0b

Counts

153 → 4

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	22
1	61	22

end0.0ms

sample881.0ms

Algorithm

intervals

Results

398.0ms	8000×	body	80	valid
219.0ms	8069×	pre	80	true
3.0ms	69×	body	80	invalid

Details

analyze83.0ms

sample41.0ms

simplify853.0ms

prune14.0ms

localize15.0ms

rewrite43.0ms

series131.0ms

simplify173.0ms

prune622.0ms

localize17.0ms

rewrite34.0ms

series61.0ms

simplify52.0ms

prune340.0ms

localize25.0ms

rewrite59.0ms

series137.0ms

simplify74.0ms

prune475.0ms

localize32.0ms

rewrite146.0ms

series353.0ms

simplify88.0ms

prune576.0ms

regimes144.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample881.0ms

Profiling