Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

285×

body

valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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:

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

series140.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
17.0ms	(/ (* y z) 2.0)
74.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

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

prune108.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 167

Calls

4 calls:

7.0ms	(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
16.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
4.0ms	(/ y (sqrt 2.0))
4.0ms	(/ z (sqrt 2.0))

series398.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
113.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
51.0ms	(/ y (sqrt 2.0))
55.0ms	(/ z (sqrt 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	533	1256
1	2336	1149
2	5002	1082

prune338.0ms

Filtered

179 candidates to 113 candidates (63.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	179	3	182

Merged error: 0b

Counts

182 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* y z) 2.0)
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.1b	(pow (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 3)
45.6b	(cbrt (pow (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
8×	`unpow-prod-down` `cube-prod`
5×	`pow1` `distribute-lft-out`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `cube-mult` `associate-+l+` `cbrt-div` `unpow3` `div-exp` `sum-log` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l-` `sub-neg` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `pow-exp` `prod-exp` `clear-num` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `associate-/l*` `rem-cube-cbrt`

Counts

4 → 89

Calls

4 calls:

4.0ms	(/ (* y z) 2.0)
8.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
9.0ms	(pow (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 3)
9.0ms	(cbrt (pow (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 3))

series479.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* y z) 2.0)
54.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
330.0ms	(pow (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 3)
77.0ms	(cbrt (pow (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	397	878
1	1809	819
2	5001	813

prune187.0ms

Filtered

101 candidates to 60 candidates (59.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Merged error: 0b

Counts

104 → 3

regimes171.0ms

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

sample526.0ms

Algorithm

intervals

Results

294.0ms

9168×

body

valid

Details

sample23.0ms

simplify27.0ms

prune2.0ms

localize9.0ms

rewrite19.0ms

series140.0ms

simplify35.0ms

prune108.0ms

localize14.0ms

rewrite38.0ms

series398.0ms

simplify60.0ms

prune338.0ms

localize13.0ms

rewrite33.0ms

series479.0ms

simplify54.0ms

prune187.0ms

regimes171.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample526.0ms

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