Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

298×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	6
1	46	6
2	73	6
3	99	6
4	119	6
5	145	6
6	178	6
7	253	6
8	333	6
9	467	6
10	467	6

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 3 expressions with local error:

0.0b	(/ (* y z) 2.0)
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

4.0ms	(/ (* y z) 2.0)
8.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series121.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (* y z) 2.0)
53.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
52.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	282	355
1	1056	330
2	5001	330

prune105.0ms

Filtered

59 candidates to 43 candidates (72.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 0b

Counts

60 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
0.3b	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
0.4b	(/ z (sqrt 2.0))
0.4b	(/ y (sqrt 2.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
5×	`associate-*l/`
4×	`prod-exp` `cbrt-unprod` `div-inv`
3×	`frac-sub`
2×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 166

Calls

4 calls:

5.0ms	(- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
15.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
4.0ms	(/ z (sqrt 2.0))
4.0ms	(/ y (sqrt 2.0))

series395.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
110.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
52.0ms	(/ z (sqrt 2.0))
54.0ms	(/ y (sqrt 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	546	1219
1	2500	1132
2	5001	1074

prune308.0ms

Filtered

178 candidates to 113 candidates (63.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	178	3	181

Merged error: 0b

Counts

181 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.1b	(pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)
37.9b	(cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-log-exp`
6×	`cube-div` `unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow-unpow` `cbrt-div` `flip3--` `associate-*l/` `frac-sub` `flip--`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `pow1/3` `diff-log` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 75

Calls

4 calls:

12.0ms	(+ (cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)) t)
8.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
7.0ms	(pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)
7.0ms	(cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3))

series330.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)) t)
51.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
127.0ms	(pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)
71.0ms	(cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	387	836
1	1610	760
2	5001	752

prune164.0ms

Filtered

87 candidates to 59 candidates (67.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	87	3	90

Merged error: 0b

Counts

90 → 3

regimes161.0ms

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	16	6
1	16	6

end0.0ms

sample591.0ms

Algorithm

intervals

Results

363.0ms	9178×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample24.0ms

simplify28.0ms

prune2.0ms

localize9.0ms

rewrite19.0ms

series121.0ms

simplify35.0ms

prune105.0ms

localize11.0ms

rewrite34.0ms

series395.0ms

simplify67.0ms

prune308.0ms

localize12.0ms

rewrite35.0ms

series330.0ms

simplify49.0ms

prune164.0ms

regimes161.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample591.0ms

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