Details

analyze59.0ms

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

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	258×	pre	80	true
0.0ms	2×	body	80	invalid

simplify521.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4963	13
1	4963	13

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1.0 m))
0.0b	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (-.f64 1.0 m))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-r_binary64`
9×	`add-cube-cbrt_binary64`
8×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
7×	`pow1_binary64`
6×	`associate-*r/_binary64`
4×	`sub-neg_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_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×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 79

Calls

3 calls:

7.0ms	(*.f64 m (-.f64 1.0 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (-.f64 1.0 m))

series50.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 m (-.f64 1.0 m))
6.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
35.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (-.f64 1.0 m))

simplify31.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5256	1051

prune122.0ms

Filtered

64 candidates to 88 candidates (-37.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 v (+.f64 m 1.0))
0.0b	(.f64 m (-.f64 (.f64 1.0 1.0) (*.f64 m m)))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1.0 1.0) (.f64 m m))) (*.f64 v (+.f64 m 1.0))) 1.0) (-.f64 1.0 m))
0.1b	(/.f64 (.f64 m (-.f64 (.f64 1.0 1.0) (.f64 m m))) (.f64 v (+.f64 m 1.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
11×	`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`
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` `difference-of-squares_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` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 103

Calls

4 calls:

7.0ms	(*.f64 v (+.f64 m 1.0))
8.0ms	(.f64 m (-.f64 (.f64 1.0 1.0) (*.f64 m m)))
20.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1.0 1.0) (.f64 m m))) (*.f64 v (+.f64 m 1.0))) 1.0) (-.f64 1.0 m))
12.0ms	(/.f64 (.f64 m (-.f64 (.f64 1.0 1.0) (.f64 m m))) (.f64 v (+.f64 m 1.0)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 v (+.f64 m 1.0))
18.0ms	(.f64 m (-.f64 (.f64 1.0 1.0) (*.f64 m m)))
12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1.0 1.0) (.f64 m m))) (*.f64 v (+.f64 m 1.0))) 1.0) (-.f64 1.0 m))
11.0ms	(/.f64 (.f64 m (-.f64 (.f64 1.0 1.0) (.f64 m m))) (.f64 v (+.f64 m 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4969	1352
1	4969	1352

prune124.0ms

Filtered

81 candidates to 115 candidates (-42.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Merged error: 0b

Counts

122 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (-.f64 1.0 m))
0.0b	(/.f64 m (/.f64 v (-.f64 1.0 m)))
0.1b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1.0 m))) 1.0) (-.f64 1.0 m))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac_binary64`
118×	`add-sqr-sqrt_binary64`
109×	`*-un-lft-identity_binary64`
73×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
20×	`difference-of-squares_binary64`
18×	`distribute-lft-out--_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
7×	`associate-l_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow1_binary64` `associate-r_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`add-log-exp_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 → 173

Calls

3 calls:

6.0ms	(/.f64 v (-.f64 1.0 m))
9.0ms	(/.f64 m (/.f64 v (-.f64 1.0 m)))
33.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1.0 m))) 1.0) (-.f64 1.0 m))

series26.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 v (-.f64 1.0 m))
6.0ms	(/.f64 m (/.f64 v (-.f64 1.0 m)))
8.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1.0 m))) 1.0) (-.f64 1.0 m))

simplify72.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4984	2573
1	4984	2573

prune195.0ms

Filtered

140 candidates to 182 candidates (-30.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	182	7	189

Merged error: 0b

Counts

189 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1.0 m))
0.0b	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
0.1b	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m))) (-.f64 (sqrt.f64 1.0) (sqrt.f64 m)))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

7.0ms	(*.f64 m (-.f64 1.0 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
24.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m))) (-.f64 (sqrt.f64 1.0) (sqrt.f64 m)))
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 m (-.f64 1.0 m))
6.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
17.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m))) (-.f64 (sqrt.f64 1.0) (sqrt.f64 m)))
19.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m)))

simplify66.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5015	2686

prune168.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	143	7	150

Merged error: 0b

Counts

150 → 7

regimes101.0ms

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	45	21
1	45	21

end0.0ms

sample567.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
163.0ms	8061×	pre	80	true
2.0ms	61×	body	80	invalid

Details

analyze59.0ms

sample24.0ms

simplify521.0ms

prune7.0ms

localize9.0ms

rewrite36.0ms

series50.0ms

simplify31.0ms

prune122.0ms

localize15.0ms

rewrite50.0ms

series48.0ms

simplify68.0ms

prune124.0ms

localize9.0ms

rewrite56.0ms

series26.0ms

simplify72.0ms

prune195.0ms

localize11.0ms

rewrite63.0ms

series50.0ms

simplify66.0ms

prune168.0ms

regimes101.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample567.0ms

Profiling