Details

sample678.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.343384%

Guaranteed chance to sample good point: 86.933324%

Results

9.0ms	256×	body	80	valid
1.0ms	33×	body	80	invalid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

prune3.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ x (* y (+ z x)))
5.0ms	(* y (+ z x))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

simplify94.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3889	149
3	5003	149

prune42.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z x))
0.5b	(cbrt (+ z x))
0.5b	(cbrt (+ z x))
0.6b	(* (cbrt (+ z x)) (cbrt (+ z x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

3.0ms	(cbrt (+ z x))
3.0ms	(cbrt (+ z x))
3.0ms	(cbrt (+ z x))
10.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ z x))
29.0ms	(cbrt (+ z x))
29.0ms	(cbrt (+ z x))
39.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))

simplify115.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	285	746
1	858	709
2	3890	634
3	5001	621

prune106.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* y (+ z x)) 3)))
0.0b	(* y (+ z x))
0.3b	(pow (* y (+ z x)) 3)
33.8b	(cbrt (pow (* y (+ z x)) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

4.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
6.0ms	(* y (+ z x))
5.0ms	(pow (* y (+ z x)) 3)
3.0ms	(cbrt (pow (* y (+ z x)) 3))

series30.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
6.0ms	(* y (+ z x))
11.0ms	(pow (* y (+ z x)) 3)
6.0ms	(cbrt (pow (* y (+ z x)) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	318	403
1	1623	366
2	5002	365

prune93.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0b

Counts

93 → 3

regimes185.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.343384%

Guaranteed chance to sample good point: 86.933324%

Results

196.0ms	8000×	body	80	valid
23.0ms	965×	body	80	invalid

Details

sample678.0ms

simplify113.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series13.0ms

simplify94.0ms

prune42.0ms

localize9.0ms

rewrite20.0ms

series129.0ms

simplify115.0ms

prune106.0ms

localize8.0ms

rewrite20.0ms

series30.0ms

simplify53.0ms

prune93.0ms

regimes185.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling