Details

analyze54.0ms

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	80	valid
5.0ms	258×	pre	80	true
0.0ms	2×	body	80	invalid

simplify605.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4850	11
1	4850	11

prune6.0ms

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 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `associate-l_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `sub-neg_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` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 87

Calls

4 calls:

8.0ms	(*.f64 m (-.f64 1 m))
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

series50.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 m (-.f64 1 m))
5.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
6.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
34.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5495	960

prune82.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac_binary64`
174×	`add-sqr-sqrt_binary64`
140×	`*-un-lft-identity_binary64`
82×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
18×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
11×	`associate-/r/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-r_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 206

Calls

4 calls:

6.0ms	(/.f64 v (-.f64 1 m))
33.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
35.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/.f64 v (-.f64 1 m))
5.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
6.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
8.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

simplify62.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4979	2831
1	4979	2831

prune123.0ms

Filtered

148 candidates to 218 candidates (-47.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	217	10	227

Merged error: 0.0b

Counts

227 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
25×	`-un-lft-identity_binary64` `associate-r*_binary64`
19×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-l_binary64` `difference-of-squares_binary64`
5×	`add-log-exp_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 72

Calls

3 calls:

9.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
12.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
12.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

series17.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
6.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
6.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

simplify35.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5067	834

prune52.0ms

Filtered

57 candidates to 81 candidates (-42.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 1 m) (sqrt.f64 m))
0.1b	(.f64 (-.f64 (/.f64 (sqrt.f64 m) (/.f64 v (.f64 (-.f64 1 m) (sqrt.f64 m)))) 1) m)
0.2b	(/.f64 v (*.f64 (-.f64 1 m) (sqrt.f64 m)))
0.3b	(/.f64 (sqrt.f64 m) (/.f64 v (*.f64 (-.f64 1 m) (sqrt.f64 m))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64`
72×	`add-sqr-sqrt_binary64`
53×	`*-un-lft-identity_binary64`
45×	`add-cube-cbrt_binary64`
37×	`sqrt-prod_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`associate-*l/_binary64`
19×	`associate-l_binary64`
17×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
9×	`associate-r_binary64` `associate-/l*_binary64` `div-inv_binary64`
8×	`pow1_binary64` `difference-of-squares_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`difference-of-sqr-1_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 166

Calls

4 calls:

9.0ms	(*.f64 (-.f64 1 m) (sqrt.f64 m))
31.0ms	(.f64 (-.f64 (/.f64 (sqrt.f64 m) (/.f64 v (.f64 (-.f64 1 m) (sqrt.f64 m)))) 1) m)
8.0ms	(/.f64 v (*.f64 (-.f64 1 m) (sqrt.f64 m)))
13.0ms	(/.f64 (sqrt.f64 m) (/.f64 v (*.f64 (-.f64 1 m) (sqrt.f64 m))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 (-.f64 1 m) (sqrt.f64 m))
15.0ms	(.f64 (-.f64 (/.f64 (sqrt.f64 m) (/.f64 v (.f64 (-.f64 1 m) (sqrt.f64 m)))) 1) m)
16.0ms	(/.f64 v (*.f64 (-.f64 1 m) (sqrt.f64 m)))
20.0ms	(/.f64 (sqrt.f64 m) (/.f64 v (*.f64 (-.f64 1 m) (sqrt.f64 m))))

simplify45.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5391	2532

prune90.0ms

Filtered

129 candidates to 178 candidates (-38.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	2	4	6
Picked	0	1	1
Done	2	1	3
Total	181	7	188

Merged error: 0.0b

Counts

188 → 7

regimes72.0ms

Accuracy

0% (0.2b 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	32	11
1	32	11

end0.0ms

sample534.0ms

Algorithm

intervals

Results

246.0ms	8000×	body	80	valid
148.0ms	8057×	pre	80	true
2.0ms	57×	body	80	invalid

Details

analyze54.0ms

sample22.0ms

simplify605.0ms

prune6.0ms

localize9.0ms

rewrite44.0ms

series50.0ms

simplify48.0ms

prune82.0ms

localize7.0ms

rewrite96.0ms

series24.0ms

simplify62.0ms

prune123.0ms

localize9.0ms

rewrite35.0ms

series17.0ms

simplify35.0ms

prune52.0ms

localize11.0ms

rewrite69.0ms

series56.0ms

simplify45.0ms

prune90.0ms

regimes72.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample534.0ms

Profiling