Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample18.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	1×	body	80	nan

simplify211.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (209.0ms)

Iter	Nodes	Cost
0	2364	19
1	2364	19

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v))))) (-.f64 1.0 (*.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))
0.1b	(.f64 3.0 (.f64 v v))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
20×	`sqrt-prod_binary64`
18×	`frac-times_binary64` `sqrt-div_binary64`
17×	`pow1_binary64`
15×	`flip3--_binary64` `flip--_binary64`
11×	`associate-r_binary64`
10×	`cbrt-unprod_binary64` `associate-*r/_binary64` `prod-exp_binary64`
9×	`associate-*l/_binary64`
7×	`pow-prod-down_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`pow1/2_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `div-inv_binary64`

Counts

4 → 126

Calls

4 calls:

14.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v))))) (-.f64 1.0 (*.f64 v v)))
3.0ms	(sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v))))
12.0ms	(.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))
6.0ms	(.f64 3.0 (.f64 v v))

series43.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v))))) (-.f64 1.0 (*.f64 v v)))
6.0ms	(sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v))))
11.0ms	(.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))
4.0ms	(.f64 3.0 (.f64 v v))

simplify40.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5639	2572

prune168.0ms

Filtered

99 candidates to 138 candidates (-39.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	2	139

Merged error: 0b

Counts

139 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 (/.f64 (sqrt.f64 2.0) 4.0) (.f64 (sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v)))) (-.f64 1.0 (*.f64 v v))))
0.0b	(sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v))))
0.1b	(.f64 3.0 (.f64 v v))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
16×	`frac-times_binary64`
14×	`pow1_binary64` `sqrt-div_binary64`
13×	`flip3--_binary64` `flip--_binary64`
12×	`associate-*r/_binary64` `sqrt-prod_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow-prod-down_binary64`
5×	`associate-*l/_binary64`
4×	`sub-neg_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`add-log-exp_binary64`
2×	`associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `div-inv_binary64`

Counts

3 → 96

Calls

3 calls:

15.0ms	(.f64 (/.f64 (sqrt.f64 2.0) 4.0) (.f64 (sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v)))) (-.f64 1.0 (*.f64 v v))))
3.0ms	(sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v))))
6.0ms	(.f64 3.0 (.f64 v v))

series31.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(.f64 (/.f64 (sqrt.f64 2.0) 4.0) (.f64 (sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v)))) (-.f64 1.0 (*.f64 v v))))
6.0ms	(sqrt.f64 (-.f64 1.0 (.f64 3.0 (.f64 v v))))
7.0ms	(.f64 3.0 (.f64 v v))

simplify34.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5447	2017

prune118.0ms

Filtered

75 candidates to 105 candidates (-40.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	2	107

Merged error: 0b

Counts

107 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))
0.0b	(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v))))) 3))
0.1b	(.f64 3.0 (.f64 v v))
1.0b	(pow.f64 (.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v))))) 3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
25×	`associate-l_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`sqrt-prod_binary64`
14×	`pow1_binary64`
12×	`sqrt-div_binary64`
10×	`cube-div_binary64`
8×	`cbrt-prod_binary64`
7×	`cbrt-unprod_binary64` `associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
6×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
5×	`cbrt-div_binary64` `pow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64` `associate-*l/_binary64`
2×	`cbrt-undiv_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `div-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `div-inv_binary64`

Counts

4 → 122

Calls

4 calls:

12.0ms	(.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))
3.0ms	(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v))))) 3))
6.0ms	(.f64 3.0 (.f64 v v))
10.0ms	(pow.f64 (.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v))))) 3)

series55.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v)))))
11.0ms	(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v))))) 3))
4.0ms	(.f64 3.0 (.f64 v v))
24.0ms	(pow.f64 (.f64 (/.f64 (sqrt.f64 2.0) 4.0) (sqrt.f64 (-.f64 1.0 (.f64 3.0 (*.f64 v v))))) 3)

simplify54.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5358	2220

prune171.0ms

Filtered

98 candidates to 134 candidates (-36.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Merged error: 0b

Counts

136 → 2

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	19
1	53	19

end0.0ms

sample499.0ms

Algorithm

intervals

Results

404.0ms	8000×	body	80	valid
0.0ms	1×	body	80	nan

Details

analyze5.0ms

sample18.0ms

simplify211.0ms

prune2.0ms

localize15.0ms

rewrite40.0ms

series43.0ms

simplify40.0ms

prune168.0ms

localize11.0ms

rewrite27.0ms

series31.0ms

simplify34.0ms

prune118.0ms

localize16.0ms

rewrite35.0ms

series55.0ms

simplify54.0ms

prune171.0ms

regimes48.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample499.0ms

Profiling