Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

334×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- y x) z))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ x (/ (- y x) z))

simplify32.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	85	81
1	281	74
2	1121	74
3	5001	74

prune25.0ms

Filtered

16 candidates to 11 candidates (68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- y x) z)))
0.5b	(cbrt (+ x (/ (- y x) z)))
0.5b	(cbrt (+ x (/ (- y x) z)))
0.5b	(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (- y x) z)))
8.0ms	(cbrt (+ x (/ (- y x) z)))
8.0ms	(cbrt (+ x (/ (- y x) z)))
24.0ms	(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))

series791.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (+ x (/ (- y x) z)))
182.0ms	(cbrt (+ x (/ (- y x) z)))
164.0ms	(cbrt (+ x (/ (- y x) z)))
282.0ms	(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))

simplify147.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	281	1163
1	934	1097
2	4857	1007
3	5001	1007

prune206.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- y x) z))
0.1b	(sqrt (+ x (/ (- y x) z)))
0.1b	(sqrt (+ x (/ (- y x) z)))
0.3b	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r-` `pow-plus` `sqrt-unprod` `div-sub` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

8.0ms	(+ x (/ (- y x) z))
8.0ms	(sqrt (+ x (/ (- y x) z)))
8.0ms	(sqrt (+ x (/ (- y x) z)))
24.0ms	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ x (/ (- y x) z))
133.0ms	(sqrt (+ x (/ (- y x) z)))
131.0ms	(sqrt (+ x (/ (- y x) z)))
21.0ms	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

simplify40.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	227	801
1	880	725
2	5002	703

prune153.0ms

Filtered

119 candidates to 63 candidates (52.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0.0b

Counts

122 → 3

regimes64.0ms

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	7	3
1	7	3

end0.0ms

sample443.0ms

Algorithm

intervals

Results

247.0ms

10083×

body

valid

Details

sample18.0ms

simplify19.0ms

prune2.0ms

localize9.0ms

rewrite9.0ms

series22.0ms

simplify32.0ms

prune25.0ms

localize9.0ms

rewrite52.0ms

series791.0ms

simplify147.0ms

prune206.0ms

localize7.0ms

rewrite51.0ms

series307.0ms

simplify40.0ms

prune153.0ms

regimes64.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample443.0ms

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