Details

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 13.671875%

Guaranteed chance to sample good point: 87.033371%

Results

6.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	46	3
3	71	3
4	79	3
5	79	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: 3.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.9b	(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

5.0ms

(* x (- 1.0 (* y z)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* x (- 1.0 (* y z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	122	127
1	493	111
2	1989	111
3	5001	111

prune52.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	7	28

Merged error: 3.0b

Counts

28 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (neg (* y z))))
5.1b	(* x (neg (* y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

5.0ms	(+ (* x 1.0) (* x (neg (* y z))))
4.0ms	(* x (neg (* y z)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (neg (* y z))))
6.0ms	(* x (neg (* y z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	181	204
1	1018	178
2	5001	174

prune58.0ms

Filtered

33 candidates to 42 candidates (-27.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
1.1b	(* (cbrt x) (- 1.0 (* y z)))
2.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`associate-r` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (- 1.0 (* y z)))
11.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
21.0ms	(cbrt x)
40.0ms	(* (cbrt x) (- 1.0 (* y z)))
13.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify40.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	323	701
1	1294	536
2	5001	439

prune83.0ms

Filtered

59 candidates to 94 candidates (-59.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (neg y)) z))
7.3b	(* (* x (neg y)) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x (neg y)) z))
5.0ms	(* (* x (neg y)) z)

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x (neg y)) z))
6.0ms	(* (* x (neg y)) z)

simplify35.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	203	197
1	955	172
2	5001	160

prune37.0ms

Filtered

28 candidates to 38 candidates (-35.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	37	7	44

Merged error: 0.0b

Counts

44 → 7

regimes495.0ms

Accuracy

96.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	12
1	49	12
2	53	12
3	53	12

end0.0ms

sample3.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 13.671875%

Guaranteed chance to sample good point: 87.033371%

Results

211.0ms	8000×	body	80	valid
7.0ms	273×	body	80	invalid

Details

sample3.0s

simplify9.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series9.0ms

simplify54.0ms

prune52.0ms

localize7.0ms

rewrite10.0ms

series16.0ms

simplify40.0ms

prune58.0ms

localize8.0ms

rewrite21.0ms

series96.0ms

simplify40.0ms

prune83.0ms

localize7.0ms

rewrite9.0ms

series16.0ms

simplify35.0ms

prune37.0ms

regimes495.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.4s

Profiling