Details

sample52.0ms

Algorithm

intervals

Results

26.0ms

266×

body

valid

simplify105.0ms

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: 25.5b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

652×	`*-un-lft-identity`
434×	`distribute-lft-out`
357×	`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 → 220

Calls

4 calls:

30.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
14.0ms	(* (+ (* (+ y a) y) b) y)
18.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
64.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series498.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
34.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
327.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify91.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	513	3618
1	2274	3492
2	5002	3490

prune472.0ms

Filtered

232 candidates to 77 candidates (33.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	222	10	232
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	223	10	233

Merged error: 24.6b

Counts

233 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (pow (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 1) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0b	(/ (+ (* (+ (pow (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 1) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

285×	`*-un-lft-identity`
167×	`distribute-lft-out`
129×	`associate-l`
60×	`times-frac`
34×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `associate-/r*`
9×	`associate-r`
6×	`associate-l/` `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 → 160

Calls

4 calls:

29.0ms	(* (+ (pow (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 1) 230661.510616) y)
13.0ms	(* (+ (* (+ y a) y) b) y)
23.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
61.0ms	(/ (+ (* (+ (pow (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 1) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series496.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (+ (pow (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 1) 230661.510616) y)
38.0ms	(* (+ (* (+ y a) y) b) y)
51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
326.0ms	(/ (+ (* (+ (pow (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 1) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify83.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	520	2702
1	2337	2563
2	5001	2563

prune489.0ms

Filtered

172 candidates to 78 candidates (45.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	168	4	172
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	173	9	182

Merged error: 24.6b

Counts

182 → 9

localize32.0ms

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))
24.9b	(* (+ (* (+ (pow (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 1) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

300×	`*-un-lft-identity`
174×	`distribute-lft-out`
147×	`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 → 221

Calls

4 calls:

13.0ms	(* (+ (* (+ y a) y) b) y)
18.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
77.0ms	(* (+ (* (+ (pow (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 1) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* (+ y a) y) b) y)
53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
58.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
327.0ms	(* (+ (* (+ (pow (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 1) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify108.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	642	3742
1	3275	3474
2	5002	3376

prune610.0ms

Filtered

233 candidates to 94 candidates (40.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	233	9	242

Merged error: 24.6b

Counts

242 → 9

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
25.0b	(/ (+ (* (* (* (cbrt y) (cbrt y)) (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

298×	`*-un-lft-identity`
172×	`distribute-lft-out`
162×	`associate-l`
70×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`associate-/r*`
9×	`cbrt-prod`
7×	`associate-/l*`
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 → 136

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
93.0ms	(/ (+ (* (* (* (cbrt y) (cbrt y)) (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series947.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
181.0ms	(cbrt y)
192.0ms	(cbrt y)
392.0ms	(/ (+ (* (* (* (cbrt y) (cbrt y)) (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify62.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	263	3025
1	985	2928
2	5002	2922

prune390.0ms

Filtered

148 candidates to 62 candidates (41.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	148	9	157

Merged error: 24.6b

Counts

157 → 9

regimes497.0ms

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	18
1	47	18

end0.0ms

sample938.0ms

Algorithm

intervals

Results

579.0ms

8247×

body

valid