Details

analyze372.0ms

Algorithm: search

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	32×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	12	3
3	12	3

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: 4.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
7.4b	(/ (* y y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

4.0ms	(+ x (/ (* y y) z))
4.0ms	(/ (* y y) z)

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (/ (* y y) z))
3.0ms	(/ (* y y) z)

simplify86.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	169	159
1	655	142
2	2763	142
3	5001	142

prune46.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y (/ z y)))
0.2b	(/ y (/ z y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

2 → 82

Calls

2 calls:

11.0ms	(+ x (/ y (/ z y)))
5.0ms	(/ y (/ z y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (/ y (/ z y)))
5.0ms	(/ y (/ z y))

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	381	526
1	1826	485
2	5001	478

prune71.0ms

Filtered

63 candidates to 88 candidates (-39.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (/ y z)))
0.2b	(* y (/ y z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

2.0ms	(+ x (* y (/ y z)))
6.0ms	(* y (/ y z))

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* y (/ y z)))
3.0ms	(* y (/ y z))

simplify34.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	223	204
1	1010	181
2	5001	181

prune41.0ms

Filtered

33 candidates to 49 candidates (-48.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	49	4	53

Merged error: 0b

Counts

53 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z y)) (cbrt (/ z y)))
11.3b	(cbrt (/ z y))
11.3b	(cbrt (/ z y))
11.3b	(cbrt (/ z y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

11.0ms	(* (cbrt (/ z y)) (cbrt (/ z y)))
2.0ms	(cbrt (/ z y))
2.0ms	(cbrt (/ z y))
2.0ms	(cbrt (/ z y))

series58.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (cbrt (/ z y)) (cbrt (/ z y)))
12.0ms	(cbrt (/ z y))
12.0ms	(cbrt (/ z y))
12.0ms	(cbrt (/ z y))

simplify86.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	280	1133
1	972	1082
2	3965	1024
3	5001	989

prune141.0ms

Filtered

119 candidates to 156 candidates (-31.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	156	4	160

Merged error: 0b

Counts

160 → 4

regimes268.0ms

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	7	3
1	7	3

end0.0ms

analyze308.0ms

Algorithm: search

sample391.0ms

Algorithm

intervals

Results

201.0ms	8000×	body	80	valid
22.0ms	931×	body	80	invalid

Details

analyze372.0ms

sample17.0ms

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series11.0ms

simplify86.0ms

prune46.0ms

localize5.0ms

rewrite19.0ms

series13.0ms

simplify53.0ms

prune71.0ms

localize5.0ms

rewrite9.0ms

series11.0ms

simplify34.0ms

prune41.0ms

localize10.0ms

rewrite23.0ms

series58.0ms

simplify86.0ms

prune141.0ms

regimes268.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze308.0ms

sample391.0ms

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