Details

sample88.0ms

Algorithm

intervals

Results

39.0ms	748×	body	80	nan
14.0ms	256×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	10
1	122	10
2	509	10
3	2237	10
4	5001	10

prune4.0ms

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: 1.5b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (/ x (* y 27.0)))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.6b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-commutative`
17×	`associate-*l/`
15×	`associate-*r/`
12×	`times-frac` `associate-/l/`
10×	`associate-/r*` `div-inv`
9×	`clear-num`
8×	`associate-l`
7×	`associate-r`
6×	`frac-2neg` `associate-/l*`
3×	`un-div-inv`

Counts

4 → 55

Calls

4 calls:

5.0ms	(* 3.0 (/ x (* y 27.0)))
4.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
11.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series193.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 3.0 (/ x (* y 27.0)))
24.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
112.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	299	269
1	1330	265
2	5001	256

prune243.0ms

Filtered

67 candidates to 56 candidates (83.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	2	68

Merged error: 0.9b

Counts

68 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* y 27.0))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))))
2.2b	(* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))
3.6b	(/ (sqrt t) (* z (* y 27.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

35×	`frac-times`
28×	`associate-/r*`
26×	`*-commutative`
17×	`associate-r` `clear-num`
16×	`frac-2neg` `associate-/l*`
8×	`associate-*l/`
7×	`associate-*r/`
4×	`div-inv`
2×	`associate-l`
1×	`un-div-inv`

Counts

4 → 66

Calls

4 calls:

4.0ms	(* z (* y 27.0))
3.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))))
13.0ms	(* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))
5.0ms	(/ (sqrt t) (* z (* y 27.0)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* z (* y 27.0))
16.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))))
87.0ms	(* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))
44.0ms	(/ (sqrt t) (* z (* y 27.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	527	455
1	2998	441
2	5001	437

prune262.0ms

Filtered

78 candidates to 69 candidates (88.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	78	2	80

Merged error: 0.9b

Counts

80 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* y 27.0))
1.0b	(/ (acos (* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))) 3.0)
2.2b	(* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))
3.6b	(/ (sqrt t) (* z (* y 27.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

35×	`frac-times`
28×	`associate-/r*`
25×	`*-commutative`
17×	`associate-r` `clear-num`
16×	`frac-2neg` `associate-/l*`
7×	`associate-*r/`
5×	`associate-*l/`
4×	`div-inv`
1×	`acos-asin` `div-sub` `associate-l` `un-div-inv`

Counts

4 → 65

Calls

4 calls:

4.0ms	(* z (* y 27.0))
3.0ms	(/ (acos (* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))) 3.0)
10.0ms	(* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))
5.0ms	(/ (sqrt t) (* z (* y 27.0)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* z (* y 27.0))
18.0ms	(/ (acos (* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))) 3.0)
104.0ms	(* (/ (* 3.0 x) 2.0) (/ (sqrt t) (* z (* y 27.0))))
57.0ms	(/ (sqrt t) (* z (* y 27.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	524	450
1	2966	436
2	5002	432

prune301.0ms

Filtered

77 candidates to 68 candidates (88.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Merged error: 0.9b

Counts

79 → 2

regimes118.0ms

Accuracy

0% (0.0b remaining)

Error of 1.2b against oracle of 1.2b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	23927×	body	80	nan
424.0ms	8000×	body	80	valid