Details

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 55.371094%

Guaranteed chance to sample good point: 89.277899%

Results

12.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify56.0ms

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

prune4.0ms

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 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series30.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (- 1.0 z) (log z))
15.0ms	(* y (+ (- 1.0 z) (log z)))

simplify97.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	267	282
1	1022	244
2	4823	234
3	5001	234

prune78.0ms

Filtered

31 candidates to 54 candidates (-74.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	47	7	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	8	55

Merged error: 0b

Counts

55 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

8.0ms	(* y (- 1.0 z))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series26.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	333	384
1	1410	343
2	5002	317

prune88.0ms

Filtered

49 candidates to 82 candidates (-67.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Merged error: 0b

Counts

90 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

12.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
11.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series126.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
46.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
23.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify37.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (29.0ms)

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

prune113.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	87	8	95

Merged error: 0b

Counts

95 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
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 → 131

Calls

4 calls:

6.0ms	(cbrt (+ (- 1.0 z) (log z)))
6.0ms	(cbrt (+ (- 1.0 z) (log z)))
6.0ms	(cbrt (+ (- 1.0 z) (log z)))
18.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (+ (- 1.0 z) (log z)))
14.0ms	(cbrt (+ (- 1.0 z) (log z)))
14.0ms	(cbrt (+ (- 1.0 z) (log z)))
31.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

simplify101.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	828	2486
1	3519	2411
2	5001	2161

prune360.0ms

Filtered

75 candidates to 143 candidates (-90.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	143	8	151

Merged error: 0b

Counts

151 → 8

regimes486.0ms

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	15	6
1	15	6

end0.0ms

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 55.371094%

Guaranteed chance to sample good point: 89.277899%

Results

385.0ms	8000×	body	80	valid
11.0ms	174×	body	80	invalid
1.0ms	18×	body	80	nan

Details

sample1.5s

simplify56.0ms

prune4.0ms

localize9.0ms

rewrite17.0ms

series30.0ms

simplify97.0ms

prune78.0ms

localize10.0ms

rewrite21.0ms

series26.0ms

simplify43.0ms

prune88.0ms

localize13.0ms

rewrite28.0ms

series126.0ms

simplify37.0ms

prune113.0ms

localize14.0ms

rewrite43.0ms

series72.0ms

simplify101.0ms

prune360.0ms

regimes486.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Profiling