Details

sample42.0ms

Algorithm

intervals

Results

10.0ms	207×	body	80	valid
5.0ms	256×	pre	80	true
5.0ms	20×	body	1280	valid
3.0ms	14×	body	640	valid
2.0ms	12×	body	320	valid
0.0ms	3×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	14
1	103	14
2	454	14
3	2127	14
4	5001	14

prune4.0ms

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: 24.2b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b

(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))

1.3b

(+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)

21.1b

(/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
47×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/r/`
11×	`flip3-+` `flip-+` `distribute-lft-out`
10×	`associate-/l*`
9×	`associate-/l/`
7×	`cbrt-undiv` `div-exp` `associate-/r*` `div-inv`
5×	`add-log-exp`
4×	`frac-times`
3×	`pow1` `flip3--` `flip--`
2×	`frac-2neg` `associate-r/` `associate-l/` `prod-exp` `clear-num` `cbrt-unprod`
1×	`+-commutative` `sum-log`

Counts

3 → 111

Calls

3 calls:

19.0ms

(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))

29.0ms

(+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)

17.0ms

(/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))

series658.0ms

Counts

3 → 9

Calls

3 calls:

257.0ms

(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))

307.0ms

(+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)

93.0ms

(/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))

simplify94.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	681	1905
1	3622	1789
2	5001	1789

prune945.0ms

Filtered

120 candidates to 89 candidates (25.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	8	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	8	121

Merged error: 4.6b

Counts

121 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))
0.1b	(* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
0.1b	(/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
1.3b	(+ (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
35×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
8×	`flip3-+` `flip-+`
7×	`associate-/r*` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r/` `associate-/l*` `add-log-exp`
4×	`frac-times` `associate-l` `associate-*l/` `prod-exp` `cbrt-unprod` `distribute-lft-out`
3×	`div-inv`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`+-commutative` `flip3--` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip--`

Counts

4 → 129

Calls

4 calls:

9.0ms	(/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))
16.0ms	(* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
20.0ms	(/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
23.0ms	(+ (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)

series747.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))
93.0ms	(* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
257.0ms	(/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
309.0ms	(+ (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)

simplify92.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	657	1569
1	3554	1429
2	5002	1429

prune1.3s

Filtered

141 candidates to 102 candidates (27.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	138	3	141
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	141	8	149

Merged error: 4.6b

Counts

149 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
0.6b	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
0.6b	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
8.3b	(+ (* (/ (+ alpha beta) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`pow1/3` `distribute-lft-out`
1×	`+-commutative` `sum-log`

Counts

4 → 53

Calls

4 calls:

7.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
7.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
7.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
47.0ms	(+ (* (/ (+ alpha beta) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)

series929.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
208.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
204.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
305.0ms	(+ (* (/ (+ alpha beta) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	312	1064
1	1055	974
2	5002	966

prune517.0ms

Filtered

65 candidates to 57 candidates (12.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	65	8	73

Merged error: 4.6b

Counts

73 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
0.6b	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
0.6b	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
8.3b	(+ (* (/ (+ alpha beta) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`pow1/3` `distribute-lft-out`
1×	`+-commutative` `sum-log`

Counts

4 → 53

Calls

4 calls:

7.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
7.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
9.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
45.0ms	(+ (* (/ (+ alpha beta) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)

series956.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
215.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
210.0ms	(cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
314.0ms	(+ (* (/ (+ alpha beta) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	312	1064
1	1055	974
2	5002	966

prune749.0ms

Filtered

65 candidates to 57 candidates (12.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	1	5	6
Picked	0	1	1
Done	1	0	1
Total	64	9	73

Merged error: 4.6b

Counts

73 → 9

regimes575.0ms

Accuracy

73.6% (1.8b remaining)

Error of 7.5b against oracle of 5.8b and baseline of 12.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	51
1	53	51

end0.0ms

sample1.1s

Algorithm

intervals

Results

307.0ms	6371×	body	80	valid
154.0ms	8000×	pre	80	true
132.0ms	528×	body	1280	valid
105.0ms	568×	body	640	valid
49.0ms	347×	body	320	valid
18.0ms	186×	body	160	valid

Details

sample42.0ms

simplify52.0ms

prune4.0ms

localize12.0ms

rewrite70.0ms

series658.0ms

simplify94.0ms

prune945.0ms

localize13.0ms

rewrite73.0ms

series747.0ms

simplify92.0ms

prune1.3s

localize17.0ms

rewrite69.0ms

series929.0ms

simplify40.0ms

prune517.0ms

localize20.0ms

rewrite69.0ms

series956.0ms

simplify41.0ms

prune749.0ms

regimes575.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling