Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
7.0ms	278×	body	80	nan

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`add-log-exp`
18×	`prod-diff`
12×	`log-prod`
7×	`pow1` `fma-neg` `distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
5×	`associate-+l+`
4×	`expm1-log1p-u` `associate-r` `associate-l` `sum-log` `log1p-expm1-u`
3×	`sub-neg` `fma-def`
2×	`associate-+l-` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

8.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
4.0ms	(- x (* (+ y 0.5) (log y)))
6.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series372.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
35.0ms	(- x (* (+ y 0.5) (log y)))
46.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
238.0ms	(* (+ y 0.5) (log y))

simplify67.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	539	1002
1	2085	847
2	5002	829

prune267.0ms

Filtered

129 candidates to 92 candidates (71.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
0.0b	(+ x (fma (- (+ y 0.5)) (log y) y))
0.1b	(fma (- (+ y 0.5)) (log y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
10×	`add-log-exp`
6×	`distribute-lft-out`
4×	`fma-neg`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
2×	`diff-log` `sum-log` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

7.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
4.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
1.0ms	(fma (- (+ y 0.5)) (log y) y)

series362.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
36.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
275.0ms	(fma (- (+ y 0.5)) (log y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	305	659
1	941	532
2	5001	525

prune150.0ms

Filtered

72 candidates to 53 candidates (73.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (log (sqrt y)) (+ y 0.5)))
0.1b	(+ (- (- x (* (log (sqrt y)) (+ y 0.5))) (* (+ y 0.5) (log (sqrt y)))) y)
0.1b	(* (+ y 0.5) (log (sqrt y)))
0.1b	(* (log (sqrt y)) (+ y 0.5))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`add-log-exp`
12×	`pow1` `log-prod`
10×	`associate-+l+` `associate-r` `associate-l`
9×	`prod-diff`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
6×	`sqrt-prod` `log-pow`
5×	`associate--l+`
4×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `fma-def` `flip3-+` `fma-neg` `sum-log` `flip-+` `distribute-lft-out`
2×	`sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3--` `flip--`

Counts

4 → 118

Calls

4 calls:

3.0ms	(- x (* (log (sqrt y)) (+ y 0.5)))
9.0ms	(+ (- (- x (* (log (sqrt y)) (+ y 0.5))) (* (+ y 0.5) (log (sqrt y)))) y)
11.0ms	(* (+ y 0.5) (log (sqrt y)))
7.0ms	(* (log (sqrt y)) (+ y 0.5))

series378.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- x (* (log (sqrt y)) (+ y 0.5)))
112.0ms	(+ (- (- x (* (log (sqrt y)) (+ y 0.5))) (* (+ y 0.5) (log (sqrt y)))) y)
88.0ms	(* (+ y 0.5) (log (sqrt y)))
89.0ms	(* (log (sqrt y)) (+ y 0.5))

simplify63.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	572	1102
1	2220	966
2	5002	900

prune319.0ms

Filtered

130 candidates to 96 candidates (73.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	130	6	136

Merged error: 0.0b

Counts

136 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
0.1b	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b	(* (sqrt (+ y 0.5)) (log y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
29×	`*-un-lft-identity`
27×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
23×	`add-cube-cbrt`
14×	`sqrt-div` `associate-l`
12×	`pow1` `associate--r+`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
9×	`sqrt-prod`
8×	`flip3-+` `flip-+`
6×	`prod-diff`
5×	`associate-+l+` `associate-r`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `diff-log` `associate-r/` `sum-log` `-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3--` `log-pow` `flip--`

Counts

4 → 134

Calls

4 calls:

8.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
6.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
12.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
8.0ms	(* (sqrt (+ y 0.5)) (log y))

series389.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
41.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
245.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
61.0ms	(* (sqrt (+ y 0.5)) (log y))

simplify67.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	659	1339
1	2342	1086
2	5001	1019

prune441.0ms

Filtered

146 candidates to 105 candidates (71.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	146	6	152

Merged error: 0b

Counts

152 → 6

regimes76.0ms

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	16	6
2	16	6

end0.0ms

sample825.0ms

Algorithm

intervals

Results

278.0ms	8029×	body	80	valid
214.0ms	7843×	body	80	nan
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid