Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
7.0ms	276×	body	80	nan

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	7
1	41	6
2	69	6
3	95	6
4	125	6
5	140	6
6	142	6
7	142	6

prune6.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.0b	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 142

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
9.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series168.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
51.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
81.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	627	1691
1	2379	1609
2	5002	1609

prune297.0ms

Filtered

151 candidates to 117 candidates (77.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	150	3	153

Merged error: 0b

Counts

153 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `fma-udef`

Counts

3 → 90

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
8.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
6.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
79.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
74.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	357	827
1	1182	752
2	5001	738

prune189.0ms

Filtered

99 candidates to 77 candidates (77.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
371×	`add-sqr-sqrt` `*-un-lft-identity`
279×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
36×	`div-inv`
27×	`add-exp-log`
24×	`associate-/l*`
17×	`div-exp` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`flip3--` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 356

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
15.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
7.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
80.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
77.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

365 → 365

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1624	5786
1	5001	5326

prune552.0ms

Filtered

365 candidates to 204 candidates (55.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	365	0	365
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	365	3	368

Merged error: 0b

Counts

368 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.2b	(* (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
0.2b	(/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
399×	`add-sqr-sqrt`
286×	`*-un-lft-identity`
174×	`add-cube-cbrt`
164×	`sqrt-prod`
122×	`associate-r`
108×	`difference-of-squares`
54×	`distribute-lft-out--`
22×	`div-inv`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
12×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`frac-times` `frac-2neg` `flip3-+` `associate-*l/` `clear-num` `associate-/r/` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`flip3--` `div-sub` `associate-r/` `pow-prod-down` `-commutative` `flip--` `fma-udef`

Counts

4 → 350

Calls

4 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
43.0ms	(* (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
14.0ms	(/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series717.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
46.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
444.0ms	(* (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
182.0ms	(/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify80.0ms

Algorithm

egg-herbie

Counts

362 → 362

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1211	5565
1	5001	5285

prune613.0ms

Filtered

362 candidates to 194 candidates (53.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	362	0	362
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	362	3	365

Merged error: 0b

Counts

365 → 3

regimes18.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample622.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
208.0ms	8187×	body	80	nan

Details

sample25.0ms

simplify52.0ms

prune6.0ms

localize8.0ms

rewrite19.0ms

series168.0ms

simplify70.0ms

prune297.0ms

localize8.0ms

rewrite18.0ms

series193.0ms

simplify42.0ms

prune189.0ms

localize14.0ms

rewrite48.0ms

series198.0ms

simplify86.0ms

prune552.0ms

localize11.0ms

rewrite86.0ms

series717.0ms

simplify80.0ms

prune613.0ms

regimes18.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample622.0ms

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