Details

analyze362.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 55.436436%

Guaranteed chance to sample good point: 89.277899%

sample23.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms	(+ (- 1.0 z) (log z))
13.0ms	(* y (+ (- 1.0 z) (log z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	387	432
1	1513	383
2	5001	370

prune91.0ms

Filtered

44 candidates to 70 candidates (-59.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0b

Counts

71 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.2b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

11.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
13.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series131.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
38.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
22.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	343	708
1	1277	629
2	5002	580

prune111.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.1b	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
0.3b	(* y (log z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-cube-cbrt`
8×	`pow1` `associate-l` `add-log-exp`
7×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
3×	`sum-log`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `flip3-+` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 66

Calls

3 calls:

6.0ms	(* (- 1.0 z) y)
7.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
4.0ms	(* y (log z))

series27.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 z) y)
16.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
7.0ms	(* y (log z))

simplify43.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	354	436
1	1502	381
2	5002	364

prune79.0ms

Filtered

51 candidates to 75 candidates (-47.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	75	6	81

Merged error: 0b

Counts

81 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(* (cbrt y) (cbrt y))

series92.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
22.0ms	(cbrt y)
24.0ms	(cbrt y)
25.0ms	(* (cbrt y) (cbrt y))

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	148	349
1	479	322
2	2283	265
3	5001	252

prune70.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

regimes328.0ms

Accuracy

0% (0.1b 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	21	11
1	21	11

end0.0ms

analyze359.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 55.436436%

Guaranteed chance to sample good point: 89.277899%

sample515.0ms

Algorithm

intervals

Results

346.0ms	8000×	body	80	valid
7.0ms	173×	body	80	invalid
1.0ms	20×	body	80	nan

Details

analyze362.0ms

sample23.0ms

simplify58.0ms

prune3.0ms

localize9.0ms

rewrite24.0ms

series45.0ms

simplify44.0ms

prune91.0ms

localize15.0ms

rewrite29.0ms

series131.0ms

simplify41.0ms

prune111.0ms

localize10.0ms

rewrite19.0ms

series27.0ms

simplify43.0ms

prune79.0ms

localize13.0ms

rewrite10.0ms

series92.0ms

simplify72.0ms

prune70.0ms

regimes328.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze359.0ms

sample515.0ms

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