Details

analyze57.0ms

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

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify626.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (154.0ms)

Iter	Nodes	Cost
0	4930	13
1	4930	13

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: 0.1b

Counts

2 → 1

localize9.0ms

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)

rewrite39.0ms

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:

8.0ms	(*.f64 m (-.f64 1 m))
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series45.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
32.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4967	1046
1	4967	1046

prune80.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`
9×	`add-log-exp_binary64`
7×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
6×	`associate-/r_binary64` `pow1_binary64` `times-frac_binary64` `associate-l/_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `frac-add_binary64` `div-exp_binary64`
3×	`cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
2×	`distribute-rgt-neg-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `div-inv_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `difference-of-sqr-1_binary64` `neg-mul-1_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `*-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
16.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))

series33.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
6.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))

simplify53.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4964	1541
1	4964	1541

prune78.0ms

Filtered

79 candidates to 109 candidates (-38.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize7.0ms

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)))

rewrite68.0ms

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:

9.0ms	(/.f64 v (-.f64 1 m))
38.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
11.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

series19.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 v (-.f64 1 m))
7.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
6.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

simplify45.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5206	2803

prune123.0ms

Filtered

147 candidates to 205 candidates (-39.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	206	4	210

Merged error: 0b

Counts

210 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times_binary64`
30×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
23×	`flip3--_binary64` `flip--_binary64`
20×	`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` `associate-l_binary64`
8×	`difference-of-squares_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `sqrt-prod_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×	`difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 134

Calls

4 calls:

8.0ms	(*.f64 m (-.f64 1 m))
12.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))
23.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 m (-.f64 1 m))
6.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
14.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))
13.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))

simplify60.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4982	2530
1	4982	2530

prune109.0ms

Filtered

107 candidates to 146 candidates (-36.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	146	4	150

Merged error: 0b

Counts

150 → 4

regimes56.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	186	21
1	186	21

end0.0ms

sample559.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	80	valid
149.0ms	8048×	pre	80	true
2.0ms	48×	body	80	invalid

Details

analyze57.0ms

sample23.0ms

simplify626.0ms

prune6.0ms

localize9.0ms

rewrite39.0ms

series45.0ms

simplify64.0ms

prune80.0ms

localize9.0ms

rewrite50.0ms

series33.0ms

simplify53.0ms

prune78.0ms

localize7.0ms

rewrite68.0ms

series19.0ms

simplify45.0ms

prune123.0ms

localize11.0ms

rewrite65.0ms

series38.0ms

simplify60.0ms

prune109.0ms

regimes56.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample559.0ms

Profiling