Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 7.635498%

Guaranteed chance to sample good point: 74.697681%

Results

9.0ms	241×	body	80	valid
3.0ms	70×	body	80	invalid
1.0ms	8×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ y z) z)
0.0b	(+ (+ (+ y z) z) y)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

5.0ms	(+ (+ y z) z)
9.0ms	(+ (+ (+ y z) z) y)
15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (+ y z) z)
4.0ms	(+ (+ (+ y z) z) y)
10.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune97.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0.1b

Counts

84 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 2 x) (+ y z))
0.0b	(+ (* (* 2 x) (+ y z)) (* x t))
0.0b	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `sum-log`
3×	`associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 49

Calls

3 calls:

6.0ms	(* (* 2 x) (+ y z))
7.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
9.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series32.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (* 2 x) (+ y z))
11.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
14.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	340	387
1	1791	357
2	5002	357

prune73.0ms

Filtered

40 candidates to 58 candidates (-45.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0.1b

Counts

63 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 2 x) (+ y z))) (cbrt (* (* 2 x) (+ y z))))
4.4b	(cbrt (* (* 2 x) (+ y z)))
4.4b	(cbrt (* (* 2 x) (+ y z)))
4.4b	(cbrt (* (* 2 x) (+ y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (* 2 x) (+ y z))) (cbrt (* (* 2 x) (+ y z))))
5.0ms	(cbrt (* (* 2 x) (+ y z)))
5.0ms	(cbrt (* (* 2 x) (+ y z)))
5.0ms	(cbrt (* (* 2 x) (+ y z)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (cbrt (* (* 2 x) (+ y z))) (cbrt (* (* 2 x) (+ y z))))
35.0ms	(cbrt (* (* 2 x) (+ y z)))
34.0ms	(cbrt (* (* 2 x) (+ y z)))
37.0ms	(cbrt (* (* 2 x) (+ y z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	281	744
1	1019	677
2	5002	634

prune175.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.1b

Counts

89 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

28.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
65.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
63.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
64.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune238.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	94	10	104

Merged error: 0.0b

Counts

104 → 10

regimes531.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 7.635498%

Guaranteed chance to sample good point: 74.697681%

Results

299.0ms	7744×	body	80	valid
79.0ms	2060×	body	80	invalid
17.0ms	79×	body	1280	valid
16.0ms	91×	body	640	valid
5.0ms	50×	body	320	valid
2.0ms	36×	body	160	valid

Details

sample1.2s

simplify36.0ms

prune4.0ms

localize13.0ms

rewrite44.0ms

series36.0ms

simplify46.0ms

prune97.0ms

localize12.0ms

rewrite24.0ms

series32.0ms

simplify51.0ms

prune73.0ms

localize14.0ms

rewrite25.0ms

series160.0ms

simplify39.0ms

prune175.0ms

localize17.0ms

rewrite68.0ms

series308.0ms

simplify53.0ms

prune238.0ms

regimes531.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling