Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

265×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 (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: 27.7b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite147.0ms

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:

25.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
14.0ms	(* (+ (* (+ y a) y) b) y)
20.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
67.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series504.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
340.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify90.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (55.0ms)

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

prune370.0ms

Filtered

231 candidates to 77 candidates (33.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	222	9	231
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	222	10	232

Merged error: 26.7b

Counts

232 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
26.8b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
190×	`distribute-lft-out`
166×	`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 → 226

Calls

4 calls:

13.0ms	(* (+ (* (+ y a) y) b) y)
23.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
29.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
80.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
53.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
338.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify109.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	622	3624
1	3147	3386
2	5001	3288

prune413.0ms

Filtered

238 candidates to 91 candidates (38.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	238	10	248

Merged error: 26.7b

Counts

248 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
27.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

679×	`*-un-lft-identity`
456×	`distribute-lft-out`
408×	`associate-l`
121×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`associate-/r` `associate-/l`
9×	`cbrt-prod`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 192

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
114.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
177.0ms	(cbrt y)
177.0ms	(cbrt y)
462.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify133.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	251	4314
1	849	4219
2	3646	4213
3	5002	4207

prune343.0ms

Filtered

204 candidates to 62 candidates (30.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	204	10	214

Merged error: 26.7b

Counts

214 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.6b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.0b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

3046×	`*-un-lft-identity`
1978×	`distribute-lft-out`
1547×	`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 → 716

Calls

4 calls:

13.0ms	(* (+ (* (+ y a) y) b) y)
21.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
95.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
73.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* (+ y a) y) b) y)
61.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
439.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
486.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify208.0ms

Algorithm

egg-herbie

Counts

728 → 728

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	694	13544
1	3363	12861
2	5001	12269

prune656.0ms

Filtered

728 candidates to 103 candidates (14.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	727	1	728
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	728	10	738

Merged error: 26.7b

Counts

738 → 10

regimes583.0ms

Accuracy

0% (1.0b remaining)

Error of 29.1b against oracle of 28.1b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	16
1	41	16

end0.0ms

sample915.0ms

Algorithm

intervals

Results

560.0ms

8245×

body

valid