Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

298×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	21	4
2	24	4
3	25	4
4	25	4

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

4.0ms	(/ (* x y) 2.0)
9.0ms	(- (/ (* x y) 2.0) (/ z 8.0))

series64.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (* x y) 2.0)
45.0ms	(- (/ (* x y) 2.0) (/ z 8.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	209	217
1	779	198
2	3389	197
3	5001	197

prune65.0ms

Filtered

43 candidates to 31 candidates (72.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x (/ 2.0 y)) (/ z 8.0))
0.2b	(/ x (/ 2.0 y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
65×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`difference-of-squares`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 91

Calls

2 calls:

31.0ms	(- (/ x (/ 2.0 y)) (/ z 8.0))
5.0ms	(/ x (/ 2.0 y))

series100.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(- (/ x (/ 2.0 y)) (/ z 8.0))
30.0ms	(/ x (/ 2.0 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	440	653
1	1589	629
2	5002	627

prune178.0ms

Filtered

97 candidates to 79 candidates (81.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	4	100

Merged error: 0b

Counts

100 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (sqrt 2.0) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`cbrt-prod`
21×	`sqrt-prod`
6×	`add-exp-log` `associate-/r` `associate-/l`
5×	`add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 93

Calls

4 calls:

5.0ms	(/ (sqrt 2.0) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series757.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(/ (sqrt 2.0) (cbrt x))
178.0ms	(cbrt x)
179.0ms	(cbrt x)
171.0ms	(cbrt x)

simplify44.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	169	584
1	435	564
2	1321	551
3	5001	533

prune232.0ms

Filtered

105 candidates to 75 candidates (71.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	105	4	109

Merged error: 0b

Counts

109 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) 2.0) (/ z 8.0))
0.1b	(sqrt (- (/ (* x y) 2.0) (/ z 8.0)))
0.1b	(sqrt (- (/ (* x y) 2.0) (/ z 8.0)))
0.3b	(* (sqrt (- (/ (* x y) 2.0) (/ z 8.0))) (sqrt (- (/ (* x y) 2.0) (/ z 8.0))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

9.0ms	(- (/ (* x y) 2.0) (/ z 8.0))
12.0ms	(sqrt (- (/ (* x y) 2.0) (/ z 8.0)))
9.0ms	(sqrt (- (/ (* x y) 2.0) (/ z 8.0)))
23.0ms	(* (sqrt (- (/ (* x y) 2.0) (/ z 8.0))) (sqrt (- (/ (* x y) 2.0) (/ z 8.0))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (/ (* x y) 2.0) (/ z 8.0))
87.0ms	(sqrt (- (/ (* x y) 2.0) (/ z 8.0)))
88.0ms	(sqrt (- (/ (* x y) 2.0) (/ z 8.0)))
43.0ms	(* (sqrt (- (/ (* x y) 2.0) (/ z 8.0))) (sqrt (- (/ (* x y) 2.0) (/ z 8.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	308	1317
1	1040	1223
2	5001	1189

prune254.0ms

Filtered

141 candidates to 84 candidates (59.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	141	4	145

Merged error: 0b

Counts

145 → 4

regimes127.0ms

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	10	4
1	10	4

end0.0ms

sample478.0ms

Algorithm

intervals

Results

283.0ms

9214×

body

valid