Details

sample104.0ms

Algorithm

intervals

Results

41.0ms	102×	body	2560	valid
22.0ms	81×	body	1280	valid
9.0ms	231×	body	80	nan
7.0ms	32×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	16×	body	160	valid
0.0ms	6×	body	80	valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	42	7
2	77	7
3	146	7
4	242	7
5	417	7
6	2789	7
7	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.7b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 5.0 (* v v)))
0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`add-log-exp`
4×	`associate-/r*` `difference-of-squares`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

3.0ms	(- 1.0 (* 5.0 (* v v)))
7.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- 1.0 (* 5.0 (* v v)))
8.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	355	664
1	1356	609
2	5001	605

prune373.0ms

Filtered

87 candidates to 65 candidates (25.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Merged error: 0.7b

Counts

88 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
0.0b	(pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)
0.1b	(* 5.0 (pow v 2))
0.7b	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
72×	`times-frac`
65×	`*-un-lft-identity`
45×	`add-cube-cbrt`
44×	`unpow-prod-down`
40×	`difference-of-squares`
30×	`cube-prod`
14×	`add-exp-log`
13×	`sqr-pow`
12×	`unpow2`
11×	`add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`associate-r` `associate-/r*`
6×	`associate-/r/`
5×	`pow1`
4×	`flip3--` `flip--` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `associate-l` `pow-exp` `prod-exp` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `acos-asin` `cube-mult` `pow-pow` `frac-2neg` `unpow3` `div-sub` `clear-num` `*-commutative` `cbrt-unprod`

Counts

4 → 167

Calls

4 calls:

9.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
11.0ms	(pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)
5.0ms	(* 5.0 (pow v 2))
1.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
6.0ms	(pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)
3.0ms	(* 5.0 (pow v 2))
3.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)))

simplify92.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	839	2040
1	3659	1810
2	5001	1779

prune1.4s

Filtered

179 candidates to 96 candidates (46.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	179	4	183

Merged error: 0.7b

Counts

183 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (pow v 2))
0.7b	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
1.0b	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
1.0b	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
10×	`add-exp-log` `unpow-prod-down`
8×	`associate-r`
7×	`add-cbrt-cube`
6×	`cube-prod`
5×	`pow1`
4×	`add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-unpow` `associate-l` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `unpow2`
1×	`acos-asin` `pow-pow` `pow1/3` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 79

Calls

4 calls:

5.0ms	(* 5.0 (pow v 2))
1.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
2.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
2.0ms	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (pow v 2))
3.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
3.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
17.0ms	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

simplify39.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	206	787
1	812	721
2	5001	713

prune267.0ms

Filtered

91 candidates to 49 candidates (46.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	2	2
Picked	1	0	1
Done	1	0	1
Total	91	4	95

Merged error: 0.7b

Counts

95 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) 1/3)
0.1b	(* 5.0 (pow v 2))
0.7b	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
1.0b	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`unpow-prod-down`
20×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
8×	`associate-r`
7×	`add-cbrt-cube`
6×	`pow-unpow` `cube-prod` `pow-exp`
5×	`pow1` `sqr-pow`
4×	`pow-to-exp` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`cube-mult` `pow-pow` `unpow3` `unpow2`
1×	`acos-asin` `unpow1/3` `*-commutative` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 87

Calls

4 calls:

4.0ms	(pow (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) 1/3)
5.0ms	(* 5.0 (pow v 2))
1.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
2.0ms	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

series84.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(pow (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) 1/3)
3.0ms	(* 5.0 (pow v 2))
3.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
17.0ms	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	272	837
1	1043	743
2	5001	737

prune281.0ms

Filtered

99 candidates to 53 candidates (46.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0.7b

Counts

103 → 5

regimes155.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	3010×	body	2560	valid
681.0ms	2438×	body	1280	valid
305.0ms	8045×	body	80	nan
253.0ms	1237×	body	640	valid
100.0ms	656×	body	320	valid
46.0ms	424×	body	160	valid
16.0ms	235×	body	80	valid

Details

sample104.0ms

simplify98.0ms

prune3.0ms

localize8.0ms

rewrite18.0ms

series19.0ms

simplify40.0ms

prune373.0ms

localize11.0ms

rewrite33.0ms

series21.0ms

simplify92.0ms

prune1.4s

localize12.0ms

rewrite12.0ms

series25.0ms

simplify39.0ms

prune267.0ms

localize15.0ms

rewrite14.0ms

series84.0ms

simplify46.0ms

prune281.0ms

regimes155.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.9s

Profiling