Details

sample9.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.712524%

Guaranteed chance to sample good point: 58.281748%

Results

9.0ms	250×	body	80	valid
1.0ms	35×	body	80	invalid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

simplify34.0ms

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

prune5.0ms

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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:

14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
13.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
6.0ms	(+ (+ y z) z)
8.0ms	(+ (+ (+ y z) z) y)

series36.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
4.0ms	(+ (+ y z) z)
5.0ms	(+ (+ (+ y z) z) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune88.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

9.0ms	(+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))
10.0ms	(* x (+ (* 2 (+ z y)) t))

series25.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))
11.0ms	(* x (+ (* 2 (+ z y)) t))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	252	290
1	1169	254
2	5001	254

prune54.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
0.5b	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))

rewrite50.0ms

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:

22.0ms	(* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
79.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
76.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
81.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	331	1671
1	1212	1564
2	5001	1451

prune266.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
0.5b	(cbrt (* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))))
0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
19.0ms	(cbrt (* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))))
9.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

series373.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
78.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
139.0ms	(cbrt (* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))))
79.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

simplify108.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	350	1326
1	957	1240
2	3991	1214
3	5002	1202

prune322.0ms

Filtered

64 candidates to 71 candidates (-10.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

regimes291.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	6
1	18	6

end0.0ms

sample10.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.712524%

Guaranteed chance to sample good point: 58.281748%

Results

302.0ms	7735×	body	80	valid
47.0ms	1265×	body	80	invalid
13.0ms	96×	body	640	valid
12.0ms	70×	body	1280	valid
7.0ms	67×	body	320	valid
2.0ms	32×	body	160	valid

Details

sample9.1s

simplify34.0ms

prune5.0ms

localize10.0ms

rewrite43.0ms

series36.0ms

simplify48.0ms

prune88.0ms

localize9.0ms

rewrite20.0ms

series25.0ms

simplify37.0ms

prune54.0ms

localize13.0ms

rewrite50.0ms

series377.0ms

simplify50.0ms

prune266.0ms

localize21.0ms

rewrite46.0ms

series373.0ms

simplify108.0ms

prune322.0ms

regimes291.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample10.4s

Profiling