Details

sample2.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.734375%

Guaranteed chance to sample good point: 64.806099%

Results

18.0ms

256×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune4.0ms

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: 11.3b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.5b	(- (* (* z 2.0) z) (* y t))
18.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms	(- (* (* z 2.0) z) (* y t))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series62.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
11.0ms	(- (* (* z 2.0) z) (* y t))
25.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune110.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Merged error: 4.1b

Counts

61 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

5.0b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
21.5b	(cbrt (- (* (* z 2.0) z) (* y t)))
21.5b	(cbrt (- (* (* z 2.0) z) (* y t)))
21.5b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod` `flip3--` `flip--`
8×	`associate-/r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 68

Calls

4 calls:

15.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
23.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
23.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
24.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	444	1044
1	1490	920
2	5001	907

prune211.0ms

Filtered

67 candidates to 80 candidates (-19.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	80	9	89

Merged error: 4.1b

Counts

89 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
1.5b	(- (* 2.0 (pow z 2)) (* t y))
2.8b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
17.7b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
15×	`associate-r`
9×	`pow1`
8×	`add-log-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `associate-/r/` `flip--`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms	(- (* 2.0 (pow z 2)) (* t y))
10.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
7.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
8.0ms	(- (* 2.0 (pow z 2)) (* t y))
24.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
10.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	391	883
1	1978	774
2	5001	773

prune170.0ms

Filtered

69 candidates to 100 candidates (-44.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	5	7
Picked	1	0	1
Done	1	0	1
Total	100	9	109

Merged error: 4.1b

Counts

109 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.5b	(- (* (* z 2.0) z) (* y t))
3.1b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.5b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

10.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series67.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
8.0ms	(- (* (* z 2.0) z) (* y t))
26.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
10.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5003	988

prune132.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Merged error: 1.9b

Counts

123 → 6

regimes257.0ms

Accuracy

0% (0.5b remaining)

Error of 2.5b against oracle of 2.1b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.734375%

Guaranteed chance to sample good point: 64.806099%

Results

406.0ms

8000×

body

valid

Details

sample2.4s

simplify38.0ms

prune4.0ms

localize12.0ms

rewrite23.0ms

series62.0ms

simplify47.0ms

prune110.0ms

localize15.0ms

rewrite31.0ms

series132.0ms

simplify46.0ms

prune211.0ms

localize12.0ms

rewrite26.0ms

series68.0ms

simplify60.0ms

prune170.0ms

localize11.0ms

rewrite32.0ms

series67.0ms

simplify64.0ms

prune132.0ms

regimes257.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

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