Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

265×

body

valid

simplify86.0ms

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: 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))

rewrite148.0ms

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×	`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 → 227

Calls

4 calls:

22.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
14.0ms	(* (+ (* (+ y a) y) b) y)
24.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
68.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series485.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
55.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
325.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify93.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	521	3501
1	2110	2878
2	5001	2850

prune458.0ms

Filtered

239 candidates to 97 candidates (40.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	231	8	239
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	231	9	240

Merged error: 26.7b

Counts

240 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
123×	`add-sqr-sqrt`
84×	`times-frac`
79×	`associate-r`
74×	`associate-l`
70×	`add-cube-cbrt`
52×	`associate-/r*`
49×	`add-exp-log`
38×	`frac-times`
33×	`unswap-sqr`
28×	`distribute-lft-out`
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 → 278

Calls

4 calls:

10.0ms	(* (+ (* x y) z) y)
18.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(/ 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)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ (* x y) z) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
57.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
311.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify131.0ms

Algorithm

egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	913	3705
1	4424	3327
2	5001	3309

prune738.0ms

Filtered

290 candidates to 155 candidates (53.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	288	2	290
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	290	9	299

Merged error: 26.7b

Counts

299 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

23.2b	(cbrt (* (+ (* x y) z) y))
23.2b	(cbrt (* (+ (* x y) z) y))
23.2b	(cbrt (* (+ (* x y) z) y))
26.8b	(* (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
92×	`add-sqr-sqrt`
70×	`associate-r`
59×	`associate-l`
49×	`add-cube-cbrt`
45×	`times-frac`
42×	`cbrt-prod`
39×	`associate-/r*`
38×	`frac-times`
30×	`add-exp-log`
26×	`unswap-sqr`
23×	`flip3-+` `flip-+`
21×	`distribute-lft-out`
19×	`associate-*r/`
16×	`prod-exp`
13×	`add-cbrt-cube`
10×	`-commutative` `associate-/l`
8×	`associate-*l/`
6×	`pow1` `cbrt-div` `1-exp` `div-exp`
4×	`expm1-log1p-u` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `pow1/3` `un-div-inv`
2×	`cbrt-undiv`
1×	`pow-prod-down` `div-inv`

Counts

4 → 224

Calls

4 calls:

11.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))
142.0ms	(* (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series781.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (* (+ (* x y) z) y))
123.0ms	(cbrt (* (+ (* x y) z) y))
128.0ms	(cbrt (* (+ (* x y) z) y))
403.0ms	(* (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify127.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	909	6351
1	3779	5743
2	5001	5251

prune899.0ms

Filtered

236 candidates to 148 candidates (62.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	236	9	245

Merged error: 26.7b

Counts

245 → 9

localize22.0ms

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))

rewrite283.0ms

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` `expm1-log1p-u` `associate-*l/` `clear-num` `log1p-expm1-u` `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 → 724

Calls

4 calls:

13.0ms	(* (+ (* (+ y a) y) b) y)
18.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
83.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
65.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1000.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* (+ y a) y) b) y)
53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
433.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
475.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify199.0ms

Algorithm

egg-herbie

Counts

736 → 736

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	720	12079
1	3262	10323
2	5002	9728

prune550.0ms

Filtered

736 candidates to 125 candidates (17.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	735	1	736
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	736	9	745

Merged error: 26.7b

Counts

745 → 9

regimes586.0ms

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

sample1.0s

Algorithm

intervals

Results

698.0ms

8245×

body

valid