Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

266×

body

valid

simplify103.0ms

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

localize21.0ms

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))

rewrite159.0ms

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:

33.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
15.0ms	(* (+ (* (+ y a) y) b) y)
20.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
69.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series510.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
33.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* (+ (* 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

232 → 232

Iterations

Useful iterations: 2 (53.0ms)

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

prune487.0ms

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

localize159.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

344×	`*-un-lft-identity`
206×	`distribute-lft-out`
161×	`associate-l`
70×	`times-frac`
35×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
13×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `associate-/r*`
7×	`associate-/l*`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 176

Calls

4 calls:

28.0ms	(* (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616) y)
14.0ms	(* (+ (* (+ y a) y) b) y)
24.0ms	(* y (+ (* (+ (* x y) z) y) 27464.7644705))
64.0ms	(/ (+ (* (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series350.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616) y)
34.0ms	(* (+ (* (+ y a) y) b) y)
36.0ms	(* y (+ (* (+ (* x y) z) y) 27464.7644705))
225.0ms	(/ (+ (* (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify88.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	537	2770
1	2610	2644
2	5001	2642

prune424.0ms

Filtered

188 candidates to 77 candidates (41.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	189	9	198

Merged error: 24.6b

Counts

198 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* y (+ (* (+ (* x y) z) y) 27464.7644705))
0.3b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.9b	(* (+ (* (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 226

Calls

4 calls:

15.0ms	(* (+ (* (+ y a) y) b) y)
20.0ms	(* y (+ (* (+ (* x y) z) y) 27464.7644705))
34.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
79.0ms	(* (+ (* (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ (* (+ y a) y) b) y)
38.0ms	(* y (+ (* (+ (* x y) z) y) 27464.7644705))
52.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
224.0ms	(* (+ (* (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify112.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	662	3558
1	3513	3322
2	5002	3224

prune566.0ms

Filtered

238 candidates to 96 candidates (40.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	237	1	238
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	238	9	247

Merged error: 24.6b

Counts

247 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

366×	`*-un-lft-identity`
221×	`distribute-lft-out`
196×	`associate-l`
80×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`associate-/r*`
9×	`cbrt-prod`
8×	`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 → 147

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
107.0ms	(/ (+ (* (* (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series909.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
179.0ms	(cbrt y)
182.0ms	(cbrt y)
370.0ms	(/ (+ (* (* (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify185.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 3 (153.0ms)

Iter	Nodes	Cost
0	262	3285
1	935	3187
2	4796	3180
3	5001	3177

prune369.0ms

Filtered

159 candidates to 62 candidates (39.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	159	9	168

Merged error: 24.6b

Counts

168 → 9

regimes457.0ms

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	46	17
1	46	17

end0.0ms

sample922.0ms

Algorithm

intervals

Results

551.0ms

8247×

body

valid