Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	259×	body	80	valid
7.0ms	275×	body	80	nan

simplify70.0ms

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

prune6.0ms

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: 0.2b

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))

series374.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
42.0ms	(- x (* (+ y 0.5) (log y)))
43.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
238.0ms	(* (+ y 0.5) (log y))

simplify61.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (50.0ms)

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

prune278.0ms

Filtered

129 candidates to 92 candidates (71.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	121	8	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	9	130

Merged error: 0.0b

Counts

130 → 9

localize10.0ms

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))
0.2b	(fma (- (+ y 0.5)) (log y) y)

rewrite12.0ms

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:

6.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
3.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
1.0ms	(fma (- (+ y 0.5)) (log y) y)

series373.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
38.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
285.0ms	(fma (- (+ y 0.5)) (log y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (27.0ms)

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

prune161.0ms

Filtered

72 candidates to 53 candidates (73.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	72	9	81

Merged error: 0.0b

Counts

81 → 9

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)) (log y))
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

rewrite37.0ms

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:

4.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
9.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
7.0ms	(* (sqrt (+ y 0.5)) (log y))
12.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
42.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
67.0ms	(* (sqrt (+ y 0.5)) (log y))
242.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (51.0ms)

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

prune338.0ms

Filtered

146 candidates to 104 candidates (71.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	147	8	155

Merged error: 0b

Counts

155 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (sqrt (+ y 0.5))) (* (sqrt (sqrt (+ y 0.5))) (* (sqrt (+ y 0.5)) (log y))))
0.4b	(* (sqrt (+ y 0.5)) (log y))
0.6b	(sqrt (sqrt (+ y 0.5)))
0.6b	(sqrt (sqrt (+ y 0.5)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

100×	`sqrt-div`
40×	`sqrt-prod`
39×	`distribute-rgt-in` `distribute-lft-in`
32×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`log-prod` `flip3-+` `flip-+`
28×	`frac-times` `associate-*l/`
24×	`add-cube-cbrt`
20×	`pow1`
17×	`associate-l`
15×	`add-exp-log` `add-cbrt-cube`
14×	`associate-*r/`
8×	`sqrt-pow1`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`log-pow`

Counts

4 → 162

Calls

4 calls:

22.0ms	(* (sqrt (sqrt (+ y 0.5))) (* (sqrt (sqrt (+ y 0.5))) (* (sqrt (+ y 0.5)) (log y))))
8.0ms	(* (sqrt (+ y 0.5)) (log y))
4.0ms	(sqrt (sqrt (+ y 0.5)))
5.0ms	(sqrt (sqrt (+ y 0.5)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (sqrt (sqrt (+ y 0.5))) (* (sqrt (sqrt (+ y 0.5))) (* (sqrt (+ y 0.5)) (log y))))
63.0ms	(* (sqrt (+ y 0.5)) (log y))
96.0ms	(sqrt (sqrt (+ y 0.5)))
93.0ms	(sqrt (sqrt (+ y 0.5)))

simplify83.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	796	1978
1	2785	1530
2	5001	1445

prune413.0ms

Filtered

174 candidates to 102 candidates (58.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	174	8	182

Merged error: 0b

Counts

182 → 8

regimes169.0ms

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

sample826.0ms

Algorithm

intervals

Results

274.0ms	8023×	body	80	valid
222.0ms	8074×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample31.0ms

simplify70.0ms

prune6.0ms

localize9.0ms

rewrite28.0ms

series374.0ms

simplify61.0ms

prune278.0ms

localize10.0ms

rewrite12.0ms

series373.0ms

simplify34.0ms

prune161.0ms

localize11.0ms

rewrite37.0ms

series393.0ms

simplify64.0ms

prune338.0ms

localize14.0ms

rewrite50.0ms

series506.0ms

simplify83.0ms

prune413.0ms

regimes169.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample826.0ms

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