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

sample19.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify180.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (179.0ms)

Iter	Nodes	Cost
0	2364	19
1	2364	19

prune5.0ms

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

17.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms	(* 3.0 (* v v))

series32.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
10.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))

simplify40.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5639	2572

prune260.0ms

Filtered

100 candidates to 138 candidates (-38.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

139 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))
1.0b	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`add-exp-log` `add-cbrt-cube`
17×	`sqrt-prod`
14×	`pow1`
12×	`sqrt-div`
10×	`cube-div`
8×	`cbrt-prod`
7×	`associate-r` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`frac-times` `flip3--` `associate-*r/` `flip--`
5×	`cbrt-div` `pow-prod-down`
4×	`add-log-exp`
3×	`pow-unpow` `associate-*l/` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube` `div-inv`

Counts

4 → 122

Calls

4 calls:

3.0ms	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))
10.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series43.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
9.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))
21.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify48.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5358	2220

prune282.0ms

Filtered

97 candidates to 134 candidates (-38.1%)

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

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	19
1	53	19

end0.0ms

sample488.0ms

Algorithm

intervals

Results

395.0ms	8000×	body	80	valid
0.0ms	3×	body	80	nan

Details

analyze5.0ms

sample19.0ms

simplify180.0ms

prune5.0ms

localize11.0ms

rewrite40.0ms

series32.0ms

simplify40.0ms

prune260.0ms

localize14.0ms

rewrite35.0ms

series43.0ms

simplify48.0ms

prune282.0ms

regimes72.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample488.0ms

Profiling