Details

analyze55.0ms

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

8.0ms	256×	body	80	valid
5.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify514.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

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))
0.1b	(/.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))
8.0ms	(/.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))

series48.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(*.f64 m (-.f64 1.0 m))
7.0ms	(/.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))

simplify29.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5256	1059

prune129.0ms

Filtered

63 candidates to 88 candidates (-39.7%)

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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))
10.0ms	(/.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))

series27.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4981	2579
1	4981	2579

prune199.0ms

Filtered

138 candidates to 182 candidates (-31.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	183	6	189

Merged error: 0b

Counts

189 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
16×	`-un-lft-identity_binary64` `associate-l*_binary64`
12×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64` `times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64`
6×	`pow1_binary64` `frac-times_binary64`
4×	`sub-neg_binary64` `associate-*r/_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 70

Calls

2 calls:

10.0ms	(*.f64 (/.f64 m v) (-.f64 1.0 m))
15.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1.0 m)) 1.0) (-.f64 1.0 m))

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 (/.f64 m v) (-.f64 1.0 m))
9.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1.0 m)) 1.0) (-.f64 1.0 m))

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4982	1024
1	4982	1024

prune84.0ms

Filtered

58 candidates to 76 candidates (-31.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	76	6	82

Merged error: 0b

Counts

82 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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))
18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m)))
8.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
27.0ms	(.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)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 m (-.f64 1.0 m))
25.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m)))
7.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
20.0ms	(.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)))

simplify63.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5067	2706

prune168.0ms

Filtered

102 candidates to 143 candidates (-40.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	143	6	149

Merged error: 0b

Counts

149 → 6

regimes97.0ms

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	28	13
1	28	13

end0.0ms

sample534.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
151.0ms	8070×	pre	80	true
2.0ms	70×	body	80	invalid

Details

analyze55.0ms

sample23.0ms

simplify514.0ms

prune7.0ms

localize9.0ms

rewrite36.0ms

series48.0ms

simplify29.0ms

prune129.0ms

localize7.0ms

rewrite58.0ms

series27.0ms

simplify57.0ms

prune199.0ms

localize6.0ms

rewrite27.0ms

series16.0ms

simplify53.0ms

prune84.0ms

localize12.0ms

rewrite65.0ms

series57.0ms

simplify63.0ms

prune168.0ms

regimes97.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample534.0ms

Profiling