Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

293×

body

valid

simplify28.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ (* y z) 2.0)
51.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify94.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	207	204
1	856	183
2	4232	183
3	5001	183

prune74.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Merged error: 0b

Counts

41 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `associate-*l/` `clear-num` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 83

Calls

2 calls:

11.0ms	(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
6.0ms	(/ y (/ 2.0 z))

series72.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
20.0ms	(/ y (/ 2.0 z))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	422	572
1	1647	546
2	5001	545

prune186.0ms

Filtered

89 candidates to 73 candidates (82.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize16.0ms

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))
0.2b	(pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)
36.9b	(cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `unpow-prod-down` `cube-prod` `add-log-exp`
5×	`pow1`
3×	`pow-unpow` `cbrt-div` `flip3--` `times-frac` `associate-l/` `associate-/r` `frac-sub` `flip--`
2×	`cbrt-undiv` `cube-mult` `unpow3` `div-exp` `sqr-pow`
1×	`pow-to-exp` `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 → 84

Calls

4 calls:

4.0ms	(/ (* y z) 2.0)
6.0ms	(- (* (/ 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))

series290.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* y z) 2.0)
57.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
137.0ms	(pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)
78.0ms	(cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	405	735
1	1867	693
2	5002	687

prune191.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	96	3	99

Merged error: 0b

Counts

99 → 3

regimes190.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample532.0ms

Algorithm

intervals

Results

303.0ms	9097×	body	80	valid
0.0ms	2×	body	640	valid