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

7.0ms	256×	body	80	valid
5.0ms	258×	pre	80	true
0.0ms	2×	body	80	invalid

simplify594.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

prune8.0ms

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 1.0 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) m)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`pow1_binary64`
4×	`associate-*r/_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` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 69

Calls

3 calls:

7.0ms	(*.f64 m (-.f64 1.0 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
14.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) m)

series50.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 m (-.f64 1.0 m))
23.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) m)

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5911	707

prune100.0ms

Filtered

54 candidates to 78 candidates (-44.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	7	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	8	79

Merged error: 0.0b

Counts

79 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 m) v)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1.0 m) v)) 1.0) m)
0.3b	(*.f64 m (/.f64 (-.f64 1.0 m) v))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-l_binary64`
5×	`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 → 96

Calls

3 calls:

6.0ms	(/.f64 (-.f64 1.0 m) v)
11.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1.0 m) v)) 1.0) m)
10.0ms	(*.f64 m (/.f64 (-.f64 1.0 m) v))

series19.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 (-.f64 1.0 m) v)
9.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1.0 m) v)) 1.0) m)
6.0ms	(*.f64 m (/.f64 (-.f64 1.0 m) v))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4959	1007
1	4959	1007

prune100.0ms

Filtered

71 candidates to 105 candidates (-47.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1.0 m) (sqrt.f64 v))) 1.0) m)
0.3b	(/.f64 m (sqrt.f64 v))
0.3b	(/.f64 (-.f64 1.0 m) (sqrt.f64 v))
0.4b	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1.0 m) (sqrt.f64 v)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt_binary64`
108×	`times-frac_binary64`
96×	`*-un-lft-identity_binary64`
70×	`add-cube-cbrt_binary64`
60×	`sqrt-prod_binary64`
37×	`associate-r_binary64`
25×	`associate-l_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`associate-/r*_binary64`
10×	`unswap-sqr_binary64`
8×	`pow1_binary64` `associate-/l*_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`associate-*l/_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `frac-times_binary64`

Counts

4 → 200

Calls

4 calls:

15.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1.0 m) (sqrt.f64 v))) 1.0) m)
4.0ms	(/.f64 m (sqrt.f64 v))
7.0ms	(/.f64 (-.f64 1.0 m) (sqrt.f64 v))
24.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1.0 m) (sqrt.f64 v)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1.0 m) (sqrt.f64 v))) 1.0) m)
10.0ms	(/.f64 m (sqrt.f64 v))
7.0ms	(/.f64 (-.f64 1.0 m) (sqrt.f64 v))
11.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1.0 m) (sqrt.f64 v)))

simplify42.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5053	2460

prune167.0ms

Filtered

136 candidates to 212 candidates (-55.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	212	8	220

Merged error: 0.0b

Counts

220 → 8

localize9.0ms

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)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (sqrt.f64 m))
0.4b	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0) (sqrt.f64 m)) (sqrt.f64 m))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

7.0ms	(*.f64 m (-.f64 1.0 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
14.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (sqrt.f64 m))
15.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0) (sqrt.f64 m)) (sqrt.f64 m))

series45.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 m (-.f64 1.0 m))
9.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (sqrt.f64 m))
13.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0) (sqrt.f64 m)) (sqrt.f64 m))

simplify61.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4980	1196
1	4980	1196

prune83.0ms

Filtered

69 candidates to 108 candidates (-56.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	106	10	116

Merged error: 0b

Counts

116 → 10

regimes173.0ms

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	28	11
1	28	11

end0.0ms

sample524.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
147.0ms	8061×	pre	80	true
2.0ms	61×	body	80	invalid

Details

analyze54.0ms

sample22.0ms

simplify594.0ms

prune8.0ms

localize9.0ms

rewrite32.0ms

series50.0ms

simplify51.0ms

prune100.0ms

localize7.0ms

rewrite30.0ms

series19.0ms

simplify62.0ms

prune100.0ms

localize9.0ms

rewrite61.0ms

series41.0ms

simplify42.0ms

prune167.0ms

localize9.0ms

rewrite46.0ms

series45.0ms

simplify61.0ms

prune83.0ms

regimes173.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample524.0ms

Profiling