Details

sample48.0ms

Algorithm

intervals

Results

13.0ms	293×	body	80	valid
13.0ms	264×	body	80	nan

simplify57.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:

6.0ms	(+ (- 1.0 z) (log z))
5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (- 1.0 z) (log z))
16.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms	(* 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

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

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)))
0.2b	(* y (log z))

rewrite18.0ms

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

series26.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 z) y)
14.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
7.0ms	(* y (log z))

simplify44.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (37.0ms)

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

prune90.0ms

Filtered

51 candidates to 75 candidates (-47.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	76	6	82

Merged error: 0b

Counts

82 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series90.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
21.0ms	(cbrt z)
21.0ms	(cbrt z)
23.0ms	(cbrt z)

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune98.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* 2 (log (cbrt z))))
0.3b	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

6.0ms	(* y (* 2 (log (cbrt z))))
9.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series87.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* y (* 2 (log (cbrt z))))
24.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify149.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	429	924
1	1207	818
2	4524	754
3	5001	705

prune125.0ms

Filtered

87 candidates to 124 candidates (-42.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	124	6	130

Merged error: 0b

Counts

130 → 6

regimes457.0ms

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	17	7
1	17	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

413.0ms	9126×	body	80	valid
291.0ms	7916×	body	80	nan

Details

sample48.0ms

simplify57.0ms

prune3.0ms

localize10.0ms

rewrite22.0ms

series44.0ms

simplify44.0ms

prune91.0ms

localize10.0ms

rewrite18.0ms

series26.0ms

simplify44.0ms

prune90.0ms

localize16.0ms

rewrite11.0ms

series90.0ms

simplify73.0ms

prune98.0ms

localize18.0ms

rewrite22.0ms

series87.0ms

simplify149.0ms

prune125.0ms

regimes457.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling