Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	267×	body	80	nan
9.0ms	259×	body	80	valid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4956	6
10	5001	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 (* (+ y 0.5) (log y)))
0.1b	(* (+ y 0.5) (log y))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
7.0ms	(* (+ y 0.5) (log y))
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

series315.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- x (* (+ y 0.5) (log y)))
235.0ms	(* (+ y 0.5) (log y))
43.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	364	458
1	1320	418
2	5001	408

prune180.0ms

Filtered

71 candidates to 53 candidates (74.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (log y) (+ 0.5 y))
0.2b	(- y (* (log y) (+ 0.5 y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

7.0ms	(* (log y) (+ 0.5 y))
3.0ms	(- y (* (log y) (+ 0.5 y)))

series668.0ms

Counts

2 → 6

Calls

2 calls:

242.0ms	(* (log y) (+ 0.5 y))
426.0ms	(- y (* (log y) (+ 0.5 y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	234	245
1	917	220
2	5001	213

prune109.0ms

Filtered

44 candidates to 30 candidates (68.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* 0.5 (log y)))
0.2b	(- (- y (* 0.5 (log y))) (* y (log y)))
0.2b	(* y (log y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

3.0ms	(- y (* 0.5 (log y)))
6.0ms	(- (- y (* 0.5 (log y))) (* y (log y)))
5.0ms	(* y (log y))

series799.0ms

Counts

3 → 9

Calls

3 calls:

194.0ms	(- y (* 0.5 (log y)))
421.0ms	(- (- y (* 0.5 (log y))) (* y (log y)))
185.0ms	(* y (log y))

simplify40.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	301	427
1	1141	380
2	5001	358

prune180.0ms

Filtered

74 candidates to 49 candidates (66.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	74	6	80

Merged error: 0b

Counts

80 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- (- y (* 0.5 (log y))) (* (log (sqrt y)) y)) (* y (log (sqrt y))))
0.1b	(- (- y (* 0.5 (log y))) (* (log (sqrt y)) y))
0.2b	(* (log (sqrt y)) y)
0.2b	(* y (log (sqrt y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
20×	`add-sqr-sqrt`
18×	`add-log-exp`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
9×	`diff-log` `associate-r` `associate-l`
8×	`add-exp-log` `associate--l+` `add-cbrt-cube`
6×	`log-pow`
5×	`sub-neg`
2×	`associate--l-` `flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

9.0ms	(- (- (- y (* 0.5 (log y))) (* (log (sqrt y)) y)) (* y (log (sqrt y))))
6.0ms	(- (- y (* 0.5 (log y))) (* (log (sqrt y)) y))
5.0ms	(* (log (sqrt y)) y)
6.0ms	(* y (log (sqrt y)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (- (- y (* 0.5 (log y))) (* (log (sqrt y)) y)) (* y (log (sqrt y))))
112.0ms	(- (- y (* 0.5 (log y))) (* (log (sqrt y)) y))
102.0ms	(* (log (sqrt y)) y)
105.0ms	(* y (log (sqrt y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	458	992
1	1895	866
2	5001	805

prune301.0ms

Filtered

113 candidates to 76 candidates (67.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	115	4	119

Merged error: 0b

Counts

119 → 4

regimes74.0ms

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	13
1	21	13

end0.0ms

sample888.0ms

Algorithm

intervals

Results

286.0ms	8038×	body	80	valid
243.0ms	8107×	body	80	nan
0.0ms	1×	body	320	valid