Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	291×	body	80	valid
7.0ms	265×	body	80	nan

simplify59.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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)))

rewrite23.0ms

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

series310.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
176.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune150.0ms

Filtered

70 candidates to 45 candidates (64.3%)

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
40×	`distribute-lft-out`
28×	`pow1`
23×	`log-pow`
18×	`log-prod`
14×	`add-sqr-sqrt`
13×	`associate-r`
12×	`add-cube-cbrt` `associate-+r+`
11×	`add-log-exp`
10×	`distribute-lft-out--`
9×	`sqrt-prod`
7×	`add-exp-log` `sum-log`
6×	`add-cbrt-cube`
3×	`associate-+l-` `associate-+l+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `diff-log` `associate-*r/`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

2.0ms	(log (sqrt z))
8.0ms	(+ (- 1.0 z) (log (sqrt z)))
16.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
15.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(log (sqrt z))
54.0ms	(+ (- 1.0 z) (log (sqrt z)))
72.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
109.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify52.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	438	800
1	1658	694
2	5001	654

prune269.0ms

Filtered

117 candidates to 69 candidates (59.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	118	5	123

Merged error: 0b

Counts

123 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 z) (log (sqrt z)))
0.1b	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
0.1b	(* y (+ (- 1.0 z) (log (sqrt z))))
0.2b	(* y (log (sqrt z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

8.0ms	(+ (- 1.0 z) (log (sqrt z)))
12.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
14.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
5.0ms	(* y (log (sqrt z)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (- 1.0 z) (log (sqrt z)))
117.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
91.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
90.0ms	(* y (log (sqrt z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	509	902
1	2007	817
2	5002	772

prune295.0ms

Filtered

122 candidates to 76 candidates (62.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

12.0ms	(+ (- (+ (* 2 (log (cbrt (sqrt z)))) 1.0) z) (log (cbrt (sqrt z))))
5.0ms	(* y (log (sqrt z)))
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series655.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(+ (- (+ (* 2 (log (cbrt (sqrt z)))) 1.0) z) (log (cbrt (sqrt z))))
86.0ms	(* y (log (sqrt z)))
152.0ms	(cbrt (sqrt z))
154.0ms	(cbrt (sqrt z))

simplify48.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	400	777
1	1356	705
2	5002	641

prune356.0ms

Filtered

103 candidates to 71 candidates (68.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	103	5	108

Merged error: 0b

Counts

108 → 5

regimes112.0ms

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	27	17
1	27	17

end0.0ms

sample941.0ms

Algorithm

intervals

Results

322.0ms	9144×	body	80	valid
249.0ms	9190×	body	80	nan