Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	298×	body	80	valid
12.0ms	348×	body	80	nan

simplify55.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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)))

rewrite26.0ms

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:

8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (41.0ms)

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

prune93.0ms

Filtered

70 candidates to 44 candidates (37.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
6.0ms	(* y (- 1.0 z))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series44.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
8.0ms	(* y (- 1.0 z))
14.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms	(* y (log z))

simplify61.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	461	552
1	2006	494
2	5002	475

prune109.0ms

Filtered

98 candidates to 63 candidates (35.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Merged error: 0b

Counts

103 → 6

localize14.0ms

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)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite27.0ms

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)

series125.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
46.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
21.0ms	(cbrt z)
23.0ms	(cbrt z)

simplify39.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (31.0ms)

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

prune110.0ms

Filtered

87 candidates to 60 candidates (31.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (- 1.0 z) (log z)))
0.4b	(cbrt (+ (- 1.0 z) (log z)))
0.4b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

rewrite42.0ms

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)))
17.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt (+ (- 1.0 z) (log z)))
13.0ms	(cbrt (+ (- 1.0 z) (log z)))
13.0ms	(cbrt (+ (- 1.0 z) (log z)))
27.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

simplify97.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	828	2486
1	3519	2411
2	5001	2198

prune366.0ms

Filtered

143 candidates to 75 candidates (47.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	143	6	149

Merged error: 0b

Counts

149 → 6

regimes304.0ms

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

sample1.4s

Algorithm

intervals

Results

415.0ms	9220×	body	80	valid
338.0ms	9214×	body	80	nan

Details

sample51.0ms

simplify55.0ms

prune4.0ms

localize9.0ms

rewrite26.0ms

series41.0ms

simplify48.0ms

prune93.0ms

localize11.0ms

rewrite27.0ms

series44.0ms

simplify61.0ms

prune109.0ms

localize14.0ms

rewrite27.0ms

series125.0ms

simplify39.0ms

prune110.0ms

localize14.0ms

rewrite42.0ms

series68.0ms

simplify97.0ms

prune366.0ms

regimes304.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling