Details

analyze255.0ms

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

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

simplify322.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4944	16
1	4944	16

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`pow1_binary64`
4×	`associate-*r/_binary64` `difference-of-squares_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_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

3 → 72

Calls

3 calls:

8.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

series179.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(*.f64 m (-.f64 1 m))
54.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
67.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

simplify60.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5286	1058

prune75.0ms

Filtered

55 candidates to 81 candidates (-47.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

6.0ms	(*.f64 v (+.f64 m 1))
8.0ms	(.f64 m (-.f64 (.f64 1 1) (*.f64 m m)))
13.0ms	(/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (.f64 v (+.f64 m 1)))
18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) m)

series348.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(*.f64 v (+.f64 m 1))
110.0ms	(.f64 m (-.f64 (.f64 1 1) (*.f64 m m)))
95.0ms	(/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (.f64 v (+.f64 m 1)))
87.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) m)

simplify44.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5464	1637

prune92.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
25×	`associate-r_binary64`
14×	`difference-of-squares_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64` `distribute-lft-out--_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 103

Calls

3 calls:

7.0ms	(/.f64 (-.f64 1 m) v)
12.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
12.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

series147.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/.f64 (-.f64 1 m) v)
49.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
52.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

simplify87.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4963	1591
1	4963	1591

prune82.0ms

Filtered

76 candidates to 112 candidates (-47.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	111	9	120

Merged error: 0b

Counts

120 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 v (*.f64 m (-.f64 1 m)))
0.1b	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
0.3b	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
40×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64` `add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
17×	`associate-l_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`pow1_binary64` `associate-r_binary64` `div-exp_binary64`
8×	`difference-of-squares_binary64`
7×	`flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip--_binary64`
6×	`associate-/l*_binary64`
5×	`prod-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`difference-of-sqr-1_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 140

Calls

4 calls:

8.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
25.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
10.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

series279.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(*.f64 m (-.f64 1 m))
71.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
64.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
87.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

simplify82.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5521	2290

prune98.0ms

Filtered

98 candidates to 152 candidates (-55.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	2	3	5
Picked	0	1	1
Done	1	2	3
Total	154	7	161

Merged error: 0b

Counts

161 → 7

regimes33.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms

sample515.0ms

Algorithm

intervals

Results

228.0ms	8000×	body	128	valid
149.0ms	8057×	pre	128	true
2.0ms	57×	body	128	invalid

Details

analyze255.0ms

sample21.0ms

simplify322.0ms

prune4.0ms

localize9.0ms

rewrite37.0ms

series179.0ms

simplify60.0ms

prune75.0ms

localize12.0ms

rewrite55.0ms

series348.0ms

simplify44.0ms

prune92.0ms

localize7.0ms

rewrite40.0ms

series147.0ms

simplify87.0ms

prune82.0ms

localize8.0ms

rewrite63.0ms

series279.0ms

simplify82.0ms

prune98.0ms

regimes33.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample515.0ms

Profiling