Details

sample222.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.461914%

Guaranteed chance to sample good point: 96.45933%

Results

8.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	65	5
2	175	5
3	475	5
4	1183	5
5	5001	5

prune3.0ms

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: 5.5b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.2b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
10×	`add-sqr-sqrt`
8×	`frac-times` `*-un-lft-identity` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `associate-r/` `div-exp` `associate-l/`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

8.0ms	(* (- 1.0 x) (- 3.0 x))
11.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series9.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(* (- 1.0 x) (- 3.0 x))
7.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	413	460
1	2310	393
2	5001	393

prune96.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.0b	(/ (- 1.0 x) y)
0.2b	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`add-log-exp`
2×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 138

Calls

3 calls:

5.0ms	(/ (- 3.0 x) 3.0)
5.0ms	(/ (- 1.0 x) y)
16.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series17.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (- 3.0 x) 3.0)
7.0ms	(/ (- 1.0 x) y)
7.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	559	898
1	2363	816
2	5002	815

prune179.0ms

Filtered

103 candidates to 147 candidates (-42.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	147	6	153

Merged error: 0b

Counts

153 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.1b	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
0.1b	(/ (/ (- 3.0 x) 3.0) y)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
178×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
26×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`flip3--` `div-sub` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 222

Calls

3 calls:

5.0ms	(/ (- 3.0 x) 3.0)
26.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
8.0ms	(/ (/ (- 3.0 x) 3.0) y)

series16.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (- 3.0 x) 3.0)
7.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
5.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify108.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	794	1722
1	3986	1628
2	5001	1628

prune318.0ms

Filtered

170 candidates to 231 candidates (-35.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	231	6	237

Merged error: 0b

Counts

237 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.2b	(/ (- 3.0 x) (cbrt 3.0))
0.2b	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
157×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
78×	`add-cube-cbrt`
61×	`add-exp-log`
43×	`add-cbrt-cube`
36×	`cbrt-prod`
34×	`associate-r`
29×	`associate-/l*`
26×	`distribute-lft-out--` `difference-of-squares`
25×	`cbrt-undiv` `div-exp`
23×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*`
9×	`unswap-sqr`
8×	`div-inv`
6×	`pow1`
5×	`associate-/l/`
4×	`div-sub` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 251

Calls

4 calls:

5.0ms	(/ (- 1.0 x) y)
6.0ms	(/ (- 3.0 x) (cbrt 3.0))
13.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
28.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- 1.0 x) y)
8.0ms	(/ (- 3.0 x) (cbrt 3.0))
21.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
12.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify118.0ms

Algorithm

egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	995	2480
1	4844	2204
2	5002	2182

prune530.0ms

Filtered

189 candidates to 263 candidates (-39.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	263	6	269

Merged error: 0b

Counts

269 → 6

regimes247.0ms

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	10	5
1	10	5

end0.0ms

sample669.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.461914%

Guaranteed chance to sample good point: 96.45933%

Results

253.0ms	8000×	body	80	valid
5.0ms	178×	body	80	invalid

Details

sample222.0ms

simplify37.0ms

prune3.0ms

localize11.0ms

rewrite22.0ms

series9.0ms

simplify56.0ms

prune96.0ms

localize7.0ms

rewrite32.0ms

series17.0ms

simplify64.0ms

prune179.0ms

localize7.0ms

rewrite51.0ms

series16.0ms

simplify108.0ms

prune318.0ms

localize10.0ms

rewrite64.0ms

series45.0ms

simplify118.0ms

prune530.0ms

regimes247.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample669.0ms

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