Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

260×

body

valid

simplify87.0ms

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

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: 26.8b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 99

Calls

4 calls:

10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms	(* (+ (* (+ y a) y) b) y)
7.0ms	(* (+ (* x y) z) y)
25.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series440.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
38.0ms	(* (+ (* (+ y a) y) b) y)
32.0ms	(* (+ (* x y) z) y)
320.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify66.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	534	1179
1	2148	1042
2	5003	1024

prune549.0ms

Filtered

111 candidates to 96 candidates (86.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	100	11	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	11	112

Merged error: 25.6b

Counts

112 → 11

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.4b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.1b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 163

Calls

4 calls:

9.0ms	(* (+ (* (+ y a) y) b) y)
7.0ms	(* (+ (* x y) z) y)
24.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
25.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series957.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* (+ y a) y) b) y)
33.0ms	(* (+ (* x y) z) y)
423.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
462.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify104.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	707	3406
1	3206	2996
2	5001	2837

prune672.0ms

Filtered

175 candidates to 116 candidates (66.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	171	4	175
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	177	9	186

Merged error: 25.6b

Counts

186 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (+ y a) y b) y c)
0.1b	(fma (fma x y z) y 27464.7644705)
0.4b	(/ 1 (/ (/ (fma (fma (fma (+ y a) y b) y c) y i) 1) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
26.1b	(/ (/ (fma (fma (fma (+ y a) y b) y c) y i) 1) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
230×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
46×	`associate-/r*`
39×	`add-exp-log`
28×	`div-exp`
22×	`div-inv`
18×	`add-cbrt-cube`
16×	`associate-/l*`
9×	`cbrt-undiv`
8×	`1-exp`
5×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

4 → 298

Calls

4 calls:

1.0ms	(fma (fma (+ y a) y b) y c)
1.0ms	(fma (fma x y z) y 27464.7644705)
11.0ms	(/ 1 (/ (/ (fma (fma (fma (+ y a) y b) y c) y i) 1) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
6.0ms	(/ (/ (fma (fma (fma (+ y a) y b) y c) y i) 1) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

series1.0s

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma (fma (+ y a) y b) y c)
36.0ms	(fma (fma x y z) y 27464.7644705)
439.0ms	(/ 1 (/ (/ (fma (fma (fma (+ y a) y b) y c) y i) 1) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
479.0ms	(/ (/ (fma (fma (fma (+ y a) y b) y c) y i) 1) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

simplify130.0ms

Algorithm

egg-herbie

Counts

310 → 310

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	1080	5931
1	4538	5286
2	5001	4771

prune758.0ms

Filtered

310 candidates to 128 candidates (41.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	305	5	310
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	310	9	319

Merged error: 25.6b

Counts

319 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma x y z) y 27464.7644705)
0.1b	(/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))
0.3b	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
26.0b	(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

439×	`times-frac`
216×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
52×	`add-exp-log`
36×	`div-exp`
31×	`div-inv`
20×	`add-cbrt-cube`
19×	`associate-/r` `associate-/l`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`associate-/r/` `fma-udef` `associate-/l/`

Counts

4 → 305

Calls

4 calls:

1.0ms	(fma (fma x y z) y 27464.7644705)
3.0ms	(/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))
3.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
11.0ms	(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))

series820.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (fma x y z) y 27464.7644705)
307.0ms	(/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))
53.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
423.0ms	(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))

simplify98.0ms

Algorithm

egg-herbie

Counts

317 → 317

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1200	5897
1	5001	5288

prune865.0ms

Filtered

317 candidates to 150 candidates (47.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	317	0	317
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	317	9	326

Merged error: 25.6b

Counts

326 → 9

regimes484.0ms

Accuracy

0% (1.2b remaining)

Error of 29.0b against oracle of 27.7b and baseline of 29.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	11
1	25	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

664.0ms

8230×

body

valid