Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	31	12
1	168	11
2	965	9
3	5001	8

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 13.8b

Counts

2 → 1

localize14.0ms

Local error

Found 1 expressions with local error:

13.4b

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
2×	`associate-*l/` `associate-/r/`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

13.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	311	392
1	1550	273
2	5001	273

prune53.0ms

Filtered

30 candidates to 17 candidates (43.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
12.7b	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
25×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp` `associate-/r*`
6×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`associate-/l*`
2×	`pow1` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `associate-/r/` `flip--`

Counts

2 → 75

Calls

2 calls:

12.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
13.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series243.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
144.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify60.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	443	962
1	2261	814
2	5001	808

prune206.0ms

Filtered

81 candidates to 59 candidates (27.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* 2.0 2.0))
13.1b	(/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
22×	`times-frac`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
11×	`associate-/l*`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`prod-exp` `associate-/r/` `cbrt-unprod`
5×	`associate-/r*`
4×	`div-inv` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 69

Calls

2 calls:

13.0ms	(/ (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* 2.0 2.0))
10.0ms	(/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series182.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* 2.0 2.0))
88.0ms	(/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	432	850
1	1876	688
2	5001	685

prune216.0ms

Filtered

75 candidates to 54 candidates (28.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (pow i 4))
0.6b	(/ 1 (pow i 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
20×	`add-exp-log`
15×	`associate-/r*`
12×	`div-exp`
8×	`sqr-pow`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `add-cbrt-cube` `associate-/l*`
4×	`unpow2`
2×	`pow1` `cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `div-inv` `inv-pow` `add-log-exp`

Counts

2 → 110

Calls

2 calls:

5.0ms	(/ 1 (pow i 4))
5.0ms	(/ 1 (pow i 2))

series54.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1 (pow i 4))
19.0ms	(/ 1 (pow i 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	265	482
1	1039	408
2	5001	332

prune207.0ms

Filtered

116 candidates to 43 candidates (62.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Merged error: 0b

Counts

119 → 3

regimes35.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.7b

bsearch54.0ms

Steps

Iters	Range		Point
9	2.5397583356125864e-05	1091.6192775468012	765.6914868525248

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	16
1	34	16

end0.0ms

sample468.0ms

Algorithm

intervals

Results

256.0ms	8000×	body	80	valid
80.0ms	8000×	pre	80	true

Details

sample22.0ms

simplify31.0ms

prune7.0ms

localize14.0ms

rewrite14.0ms

series96.0ms

simplify40.0ms

prune53.0ms

localize8.0ms

rewrite27.0ms

series243.0ms

simplify60.0ms

prune206.0ms

localize8.0ms

rewrite25.0ms

series182.0ms

simplify50.0ms

prune216.0ms

localize11.0ms

rewrite13.0ms

series54.0ms

simplify36.0ms

prune207.0ms

regimes35.0ms

bsearch54.0ms

simplify1.0ms

end0.0ms

sample468.0ms

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