Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

266×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	102	16
2	292	16
3	803	16
4	2143	16
5	3616	16
6	4166	16
7	5002	16

prune8.0ms

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

localize22.0ms

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))

rewrite149.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 228

Calls

4 calls:

27.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
14.0ms	(* (+ (* (+ y a) y) b) y)
19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
66.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series496.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
33.0ms	(* (+ (* (+ y a) y) b) y)
53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
317.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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

240 → 240

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	539	3531
1	2202	2896
2	5003	2869

prune563.0ms

Filtered

240 candidates to 97 candidates (40.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	230	10	240
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	231	10	241

Merged error: 24.6b

Counts

241 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

142×	`*-un-lft-identity`
123×	`add-sqr-sqrt`
86×	`associate-l`
84×	`times-frac`
79×	`associate-r`
70×	`add-cube-cbrt`
52×	`associate-/r*`
49×	`add-exp-log`
38×	`frac-times` `distribute-lft-out`
33×	`unswap-sqr`
24×	`prod-exp`
22×	`flip3-+` `add-cbrt-cube` `flip-+`
19×	`associate-*r/`
13×	`pow1` `-commutative` `associate-/l`
12×	`1-exp` `div-exp`
7×	`cbrt-unprod`
6×	`rec-exp` `associate-*l/`
5×	`clear-num`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-2neg` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`un-div-inv`
2×	`pow-flip` `div-inv`
1×	`inv-pow`

Counts

4 → 282

Calls

4 calls:

27.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
57.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
58.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
321.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify132.0ms

Algorithm

egg-herbie

Counts

294 → 294

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	927	3831
1	4505	3386
2	5001	3381

prune968.0ms

Filtered

294 candidates to 157 candidates (53.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	291	3	294
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	295	9	304

Merged error: 24.6b

Counts

304 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (fma (+ y a) y b) y c) y i)
0.0b	(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
0.1b	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
25.0b	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 59

Calls

4 calls:

1.0ms	(fma (fma (fma (+ y a) y b) y c) y i)
1.0ms	(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
1.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
3.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))

series539.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(fma (fma (fma (+ y a) y b) y c) y i)
94.0ms	(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
55.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
297.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))

simplify71.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	193	647
1	550	584
2	2350	582
3	5001	580

prune415.0ms

Filtered

71 candidates to 61 candidates (85.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	71	9	80

Merged error: 24.6b

Counts

80 → 9

localize33.0ms

Local error

Found 4 expressions with local error:

17.1b	(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
17.1b	(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
17.1b	(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
22.2b	(/ (* (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (cbrt 1)) (cbrt 1)) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

1768×	`add-sqr-sqrt`
1281×	`cbrt-prod`
1080×	`times-frac`
836×	`unswap-sqr`
806×	`associate-l`
796×	`*-un-lft-identity`
582×	`associate-r`
572×	`add-cube-cbrt`
246×	`swap-sqr`
99×	`add-cbrt-cube`
97×	`*-commutative`
78×	`cbrt-unprod`
40×	`associate-/l*`
35×	`cbrt-undiv`
27×	`associate-/r*`
25×	`add-exp-log`
9×	`prod-exp`
6×	`div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 1239

Calls

4 calls:

1.0ms	(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
1.0ms	(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
1.0ms	(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
53.0ms	(/ (* (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (cbrt 1)) (cbrt 1)) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

series943.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
147.0ms	(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
144.0ms	(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
508.0ms	(/ (* (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (cbrt 1)) (cbrt 1)) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

simplify473.0ms

Algorithm

egg-herbie

Counts

1251 → 1251

Iterations

Useful iterations: 1 (66.0ms)

Iter	Nodes	Cost
0	4056	42726
1	5001	41249

prune4.6s

Filtered

1251 candidates to 596 candidates (47.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1249	2	1251
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	1249	11	1260

Merged error: 24.6b

Counts

1260 → 11

regimes596.0ms

Accuracy

0% (1.3b remaining)

Error of 28.9b against oracle of 27.6b and baseline of 28.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	15
1	41	15
2	41	15

end0.0ms

sample928.0ms

Algorithm

intervals

Results

568.0ms

8247×

body

valid