Details

analyze259.0ms

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

sample22.0ms

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 (86.0ms)

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

rewrite41.0ms

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))
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series185.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(*.f64 m (-.f64 1 m))
46.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
66.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify38.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5104	1553

prune94.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 196

Calls

3 calls:

7.0ms	(/.f64 v (-.f64 1 m))
41.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/.f64 v (-.f64 1 m))
48.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
53.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

simplify69.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5222	4285

prune176.0ms

Filtered

146 candidates to 205 candidates (-40.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	206	5	211

Merged error: 0b

Counts

211 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 72

Calls

2 calls:

15.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
10.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

series93.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
49.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

simplify61.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4974	1471
1	4974	1471

prune66.0ms

Filtered

60 candidates to 78 candidates (-30.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Merged error: 0b

Counts

83 → 5

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`*-un-lft-identity_binary64`
14×	`associate-r_binary64`
13×	`associate-l_binary64`
10×	`pow1_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`difference-of-squares_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` `distribute-lft-out--_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` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 106

Calls

4 calls:

6.0ms	(*.f64 v (+.f64 m 1))
8.0ms	(.f64 m (-.f64 (.f64 1 1) (*.f64 m m)))
21.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
13.0ms	(/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (.f64 v (+.f64 m 1)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(*.f64 v (+.f64 m 1))
99.0ms	(.f64 m (-.f64 (.f64 1 1) (*.f64 m m)))
81.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
84.0ms	(/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (.f64 v (+.f64 m 1)))

simplify82.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4963	2237
1	4963	2237

prune108.0ms

Filtered

84 candidates to 118 candidates (-40.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	118	5	123

Merged error: 0b

Counts

123 → 5

regimes31.0ms

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	33	19
1	33	19

end0.0ms

sample539.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	128	valid
153.0ms	8057×	pre	128	true
2.0ms	57×	body	128	invalid

Details

analyze259.0ms

sample22.0ms

simplify266.0ms

prune4.0ms

localize8.0ms

rewrite41.0ms

series185.0ms

simplify38.0ms

prune94.0ms

localize10.0ms

rewrite85.0ms

series156.0ms

simplify69.0ms

prune176.0ms

localize7.0ms

rewrite32.0ms

series93.0ms

simplify61.0ms

prune66.0ms

localize12.0ms

rewrite62.0ms

series311.0ms

simplify82.0ms

prune108.0ms

regimes31.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample539.0ms

Profiling