Details

analyze53.0ms

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

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify715.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	4945	16
1	4945	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)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite32.0ms

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:

7.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
14.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

series96.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(*.f64 m (-.f64 1 m))
26.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
37.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

simplify79.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5285	1058

prune79.0ms

Filtered

55 candidates to 81 candidates (-47.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	71	10	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	11	82

Merged error: 0.0b

Counts

82 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:

6.0ms	(/.f64 (-.f64 1 m) v)
11.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
14.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

series72.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/.f64 (-.f64 1 m) v)
24.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
26.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

simplify116.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4994	1591
1	4994	1591

prune85.0ms

Filtered

77 candidates to 112 candidates (-45.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	112	11	123

Merged error: 0.0b

Counts

123 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

13.0ms	(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
19.0ms	(.f64 (-.f64 (/.f64 (.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
4.0ms	(/.f64 m (sqrt.f64 v))
12.0ms	(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))

series162.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
49.0ms	(.f64 (-.f64 (/.f64 (.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
37.0ms	(/.f64 m (sqrt.f64 v))
41.0ms	(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))

simplify61.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5067	2485

prune113.0ms

Filtered

112 candidates to 158 candidates (-41.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	158	11	169

Merged error: 0.0b

Counts

169 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.2b	(*.f64 m (/.f64 (-.f64 1 m) v))
0.2b	(.f64 (sqrt.f64 m) (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1))
0.4b	(.f64 (.f64 (sqrt.f64 m) (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)) (sqrt.f64 m))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt_binary64`
52×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
31×	`associate-r_binary64` `add-cube-cbrt_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`difference-of-squares_binary64`
13×	`pow1_binary64`
10×	`associate-l_binary64`
7×	`distribute-lft-out--_binary64` `sqrt-prod_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
5×	`pow-prod-down_binary64` `associate-*r/_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `flip--_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `associate-*l/_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 132

Calls

4 calls:

6.0ms	(/.f64 (-.f64 1 m) v)
11.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
15.0ms	(.f64 (sqrt.f64 m) (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1))
14.0ms	(.f64 (.f64 (sqrt.f64 m) (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)) (sqrt.f64 m))

series115.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/.f64 (-.f64 1 m) v)
22.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
40.0ms	(.f64 (sqrt.f64 m) (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1))
34.0ms	(.f64 (.f64 (sqrt.f64 m) (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)) (sqrt.f64 m))

simplify138.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4966	2370
1	4966	2370

prune102.0ms

Filtered

97 candidates to 144 candidates (-48.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	3	4	7
Picked	0	1	1
Done	1	2	3
Total	146	9	155

Merged error: 0b

Counts

155 → 9

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	19
1	45	19

end0.0ms

sample530.0ms

Algorithm

intervals

Results

239.0ms	8000×	body	80	valid
150.0ms	8054×	pre	80	true
2.0ms	54×	body	80	invalid

Details

analyze53.0ms

sample21.0ms

simplify715.0ms

prune4.0ms

localize9.0ms

rewrite32.0ms

series96.0ms

simplify79.0ms

prune79.0ms

localize7.0ms

rewrite35.0ms

series72.0ms

simplify116.0ms

prune85.0ms

localize9.0ms

rewrite53.0ms

series162.0ms

simplify61.0ms

prune113.0ms

localize9.0ms

rewrite52.0ms

series115.0ms

simplify138.0ms

prune102.0ms

regimes43.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample530.0ms

Profiling