Details

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 36.767578%

Guaranteed chance to sample good point: 48.262548%

Results

10.0ms	256×	body	80	valid
6.0ms	65×	body	80	invalid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

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: 5.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.2b	(* (* y 4.0) (- (* z z) t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-r` `associate--r+` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

4.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.0ms	(* (* y 4.0) (- (* z z) t))

series33.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms	(* (* y 4.0) (- (* z z) t))

simplify38.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	269	322
1	1276	286
2	5001	281

prune66.0ms

Filtered

29 candidates to 47 candidates (-62.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Merged error: 3.0b

Counts

48 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
0.0b	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
9.1b	(* (* y 4.0) (* z z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `distribute-rgt-neg-out`
3×	`add-cube-cbrt` `*-un-lft-identity`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

3 → 53

Calls

3 calls:

7.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
8.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
7.0ms	(* (* y 4.0) (* z z))

series42.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
20.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
7.0ms	(* (* y 4.0) (* z z))

simplify49.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	314	491
1	1440	398
2	5001	390

prune70.0ms

Filtered

38 candidates to 62 candidates (-63.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
0.0b	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
0.2b	(* (* (* y 4.0) z) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `distribute-rgt-neg-out`
3×	`associate-r`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-l` `*-commutative` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

6.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
7.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
6.0ms	(* (* (* y 4.0) z) z)

series44.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
21.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
7.0ms	(* (* (* y 4.0) z) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	323	488
1	1585	427
2	5001	382

prune98.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	57	7	64

Merged error: 0.0b

Counts

64 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
19.9b	(cbrt (* (* (* y 4.0) z) z))
19.9b	(cbrt (* (* (* y 4.0) z) z))
19.9b	(cbrt (* (* (* y 4.0) z) z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

7.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
5.0ms	(cbrt (* (* (* y 4.0) z) z))
7.0ms	(cbrt (* (* (* y 4.0) z) z))
5.0ms	(cbrt (* (* (* y 4.0) z) z))

series105.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
25.0ms	(cbrt (* (* (* y 4.0) z) z))
24.0ms	(cbrt (* (* (* y 4.0) z) z))
24.0ms	(cbrt (* (* (* y 4.0) z) z))

simplify108.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	222	561
1	730	496
2	3728	429
3	5001	423

prune138.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

regimes843.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	9
1	24	9
2	31	9
3	31	9

end0.0ms

sample2.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 36.767578%

Guaranteed chance to sample good point: 48.262548%

Results

324.0ms	8000×	body	80	valid
86.0ms	1963×	body	80	invalid

Details

sample1.6s

simplify68.0ms

prune4.0ms

localize9.0ms

rewrite12.0ms

series33.0ms

simplify38.0ms

prune66.0ms

localize11.0ms

rewrite23.0ms

series42.0ms

simplify49.0ms

prune70.0ms

localize11.0ms

rewrite20.0ms

series44.0ms

simplify54.0ms

prune98.0ms

localize15.0ms

rewrite24.0ms

series105.0ms

simplify108.0ms

prune138.0ms

regimes843.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling