Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	270×	body	80	valid
7.0ms	240×	body	80	nan

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
84×	`times-frac`
64×	`add-cube-cbrt` `*-un-lft-identity`
42×	`associate-r`
28×	`associate-/r*`
27×	`associate-l`
20×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
14×	`unswap-sqr`
9×	`*-commutative`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`pow-prod-down`

Counts

3 → 174

Calls

3 calls:

9.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(* 3.0 (sqrt x))
7.0ms	(/ 1.0 (* x 9.0))

series116.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ y (* 3.0 (sqrt x)))
42.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	691	1055
1	2890	1004
2	5001	990

prune444.0ms

Filtered

183 candidates to 130 candidates (71.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	174	9	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	9	184

Merged error: 0.0b

Counts

184 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x (sqrt 9.0)))
0.3b	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

744×	`times-frac`
511×	`add-sqr-sqrt`
387×	`add-cube-cbrt` `*-un-lft-identity`
283×	`sqrt-prod`
186×	`associate-r`
93×	`associate-l`
62×	`unswap-sqr`
61×	`associate-/l*`
54×	`associate-/r*`
31×	`*-commutative`
25×	`add-exp-log` `add-cbrt-cube`
22×	`associate-/l/`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

4 → 600

Calls

4 calls:

8.0ms	(/ y (* 3.0 (sqrt x)))
12.0ms	(/ 1.0 (* x (sqrt 9.0)))
23.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
5.0ms	(* 3.0 (sqrt x))

series257.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ y (* 3.0 (sqrt x)))
63.0ms	(/ 1.0 (* x (sqrt 9.0)))
92.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
46.0ms	(* 3.0 (sqrt x))

simplify105.0ms

Algorithm

egg-herbie

Counts

612 → 612

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1746	6177
1	5001	5606

prune1.3s

Filtered

612 candidates to 338 candidates (55.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	607	5	612
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	615	6	621

Merged error: 0.0b

Counts

621 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (/ y (sqrt x)) 3.0)
0.2b	(/ y (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

192×	`times-frac`
129×	`add-sqr-sqrt`
121×	`add-cube-cbrt` `*-un-lft-identity`
51×	`sqrt-prod`
31×	`associate-/l*`
27×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r` `associate-l` `associate-/l/`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`prod-exp` `cbrt-unprod`

Counts

3 → 227

Calls

3 calls:

9.0ms	(/ (/ y (sqrt x)) 3.0)
4.0ms	(/ y (sqrt x))
7.0ms	(/ 1.0 (* x 9.0))

series128.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (/ y (sqrt x)) 3.0)
48.0ms	(/ y (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	802	1566
1	3221	1477
2	5002	1471

prune584.0ms

Filtered

236 candidates to 171 candidates (72.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	235	1	236
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	236	6	242

Merged error: 0b

Counts

242 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
103×	`add-sqr-sqrt`
83×	`add-cube-cbrt` `*-un-lft-identity`
30×	`associate-r`
22×	`associate-/r*`
20×	`sqrt-prod`
19×	`associate-/l*`
15×	`add-exp-log` `associate-l` `add-cbrt-cube`
10×	`unswap-sqr`
9×	`associate-/l/`
6×	`div-inv`
5×	`pow1` `cbrt-undiv` `div-exp` `*-commutative`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `cbrt-unprod`
1×	`pow-prod-down`

Counts

3 → 187

Calls

3 calls:

9.0ms	(/ y (* 3.0 (sqrt x)))
7.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series119.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ (/ 1.0 x) 9.0)
46.0ms	(* 3.0 (sqrt x))

simplify92.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	783	1177
1	3142	1113
2	5001	1109

prune470.0ms

Filtered

196 candidates to 145 candidates (74.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	196	6	202

Merged error: 0b

Counts

202 → 6

regimes53.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample797.0ms

Algorithm

intervals

Results

265.0ms	8543×	body	80	valid
261.0ms	8675×	body	80	nan