Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

267×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	41	16
1	88	16
2	254	16
3	663	16
4	1615	16
5	2362	16
6	2584	16
7	3122	16
8	5001	16

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 26.7b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

648×	`*-un-lft-identity`
431×	`distribute-lft-out`
353×	`associate-l`
110×	`times-frac`
39×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/l*`
10×	`pow1` `associate-/r*`
9×	`associate-r`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 219

Calls

4 calls:

13.0ms	(* (+ (* (+ y a) y) b) y)
20.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
22.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
61.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series693.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* (+ y a) y) b) y)
70.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
255.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
334.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify92.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	495	3572
1	2187	3458
2	5001	3456

prune354.0ms

Filtered

231 candidates to 77 candidates (66.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	220	11	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	221	11	232

Merged error: 26.0b

Counts

232 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.2b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
25.9b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

328×	`*-un-lft-identity`
195×	`distribute-lft-out`
172×	`associate-l`
62×	`times-frac`
55×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
42×	`associate-r`
40×	`associate-/r*`
32×	`frac-times`
21×	`add-exp-log` `flip3-+` `flip-+`
16×	`associate-*r/`
15×	`add-cbrt-cube`
13×	`associate-/l*`
11×	`pow1`
6×	`associate-*l/` `prod-exp`
5×	`clear-num` `unswap-sqr`
4×	`frac-2neg` `div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `un-div-inv` `*-commutative`
2×	`cbrt-undiv` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `inv-pow`

Counts

4 → 228

Calls

4 calls:

21.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
77.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
56.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
331.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify111.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	619	3683
1	3160	3454
2	5001	3356

prune437.0ms

Filtered

240 candidates to 95 candidates (60.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	239	1	240
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	240	11	251

Merged error: 26.0b

Counts

251 → 11

localize31.0ms

Local error

Found 4 expressions with local error:

18.1b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.1b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.1b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
26.1b	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

407×	`*-un-lft-identity`
250×	`distribute-lft-out`
197×	`associate-l`
80×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`cbrt-prod`
10×	`associate-/r*`
8×	`associate-/l*`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 165

Calls

4 calls:

21.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
16.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
16.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
154.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series897.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
181.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
177.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
346.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify78.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	362	4929
1	1174	4778
2	5001	4763

prune411.0ms

Filtered

177 candidates to 71 candidates (59.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	176	12	188

Merged error: 25.9b

Counts

188 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.2b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

3053×	`*-un-lft-identity`
1983×	`distribute-lft-out`
1553×	`associate-l`
898×	`times-frac`
242×	`add-sqr-sqrt`
238×	`add-cube-cbrt`
138×	`associate-/r*`
36×	`associate-/r/`
31×	`associate-/l*`
21×	`add-exp-log`
15×	`add-cbrt-cube`
9×	`pow1` `flip3-+` `flip-+` `remove-double-div`
8×	`div-exp`
6×	`associate-r` `div-inv`
4×	`cbrt-undiv` `associate-*l/` `clear-num` `associate-/l/` `add-log-exp`
3×	`frac-2neg`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 718

Calls

4 calls:

26.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
18.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
84.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
65.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
440.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
502.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify220.0ms

Algorithm

egg-herbie

Counts

730 → 730

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	691	13603
1	3379	12929
2	5001	12337

prune457.0ms

Filtered

730 candidates to 105 candidates (85.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	728	2	730
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	729	13	742

Merged error: 25.9b

Counts

742 → 13

regimes639.0ms

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.1b and baseline of 29.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

end0.0ms

sample884.0ms

Algorithm

intervals

Results

537.0ms

8241×

body

valid