Details

sample38.0ms

Algorithm

intervals

Results

14.0ms	300×	body	80	nan
12.0ms	256×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	10
1	91	10
2	263	10
3	620	10
4	1138	10
5	1470	10
6	1510	10
7	1510	10

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 1.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 3.0 PI) (- 1.0 (* v v)))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-*r/`
9×	`add-sqr-sqrt`
8×	`associate-/r/`
7×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`sqrt-div` `pow-prod-down`
5×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp` `associate-l`
3×	`times-frac` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

6.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
6.0ms	(* 6.0 (* v v))
12.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series549.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
24.0ms	(* 6.0 (* v v))
426.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify83.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	684	822
1	3356	701
2	5001	701

prune165.0ms

Filtered

86 candidates to 55 candidates (64.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	2	87

Merged error: 0b

Counts

87 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
0.0b	(* (* 3.0 PI) (- 1.0 (* v v)))
0.2b	(* 6.0 (* v v))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
44×	`add-sqr-sqrt`
42×	`add-cube-cbrt` `*-un-lft-identity`
37×	`add-exp-log` `add-cbrt-cube`
30×	`sqrt-prod`
18×	`associate-*r/` `associate-/r/`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod` `associate-/l*`
10×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
9×	`div-inv`
7×	`associate-/r*`
6×	`pow-prod-down`
5×	`associate-r`
4×	`associate-l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `sqrt-div` `clear-num` `*-commutative`
1×	`associate-/l/` `difference-of-squares` `unswap-sqr`

Counts

4 → 159

Calls

4 calls:

15.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms	(* 6.0 (* v v))

series631.0ms

Counts

4 → 12

Calls

4 calls:

405.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
99.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
102.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
24.0ms	(* 6.0 (* v v))

simplify113.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	937	2186
1	4457	2002
2	5001	1982

prune299.0ms

Filtered

171 candidates to 109 candidates (63.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	171	2	173

Merged error: 0b

Counts

173 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- PI (* (pow v 2) PI))
0.2b	(* (pow v 2) PI)
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* 3.0 (- PI (* (pow v 2) PI))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`add-sqr-sqrt`
11×	`-un-lft-identity` `associate-l*`
10×	`add-cube-cbrt`
9×	`pow1` `prod-exp`
8×	`associate-*r/` `associate-/r/`
7×	`flip3--` `flip--` `cbrt-unprod`
6×	`sqrt-div` `add-log-exp`
5×	`unswap-sqr`
4×	`frac-times` `unpow-prod-down` `associate-r`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`associate-l/` `-commutative` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-exp` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 90

Calls

4 calls:

3.0ms	(- PI (* (pow v 2) PI))
5.0ms	(* (pow v 2) PI)
5.0ms	(* 6.0 (* v v))
11.0ms	(/ 4.0 (* (* 3.0 (- PI (* (pow v 2) PI))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- PI (* (pow v 2) PI))
29.0ms	(* (pow v 2) PI)
24.0ms	(* 6.0 (* v v))
379.0ms	(/ 4.0 (* (* 3.0 (- PI (* (pow v 2) PI))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify79.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	666	803
1	2806	706
2	5001	706

prune200.0ms

Filtered

102 candidates to 69 candidates (67.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Merged error: 0b

Counts

104 → 2

regimes24.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample957.0ms

Algorithm

intervals

Results

384.0ms	8226×	body	80	nan
381.0ms	8000×	body	80	valid

Details

sample38.0ms

simplify59.0ms

prune2.0ms

localize11.0ms

rewrite27.0ms

series549.0ms

simplify83.0ms

prune165.0ms

localize11.0ms

rewrite40.0ms

series631.0ms

simplify113.0ms

prune299.0ms

localize12.0ms

rewrite27.0ms

series478.0ms

simplify79.0ms

prune200.0ms

regimes24.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample957.0ms

Profiling