Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

267×

body

valid

simplify89.0ms

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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 26.7b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

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:

13.0ms	(* (+ (* (+ y a) y) b) y)
21.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
18.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
65.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series520.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* (+ y a) y) b) y)
75.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
61.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
346.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify98.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (59.0ms)

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

prune472.0ms

Filtered

239 candidates to 97 candidates (59.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	229	10	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	10	240

Merged error: 26.0b

Counts

240 → 10

localize23.0ms

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)
0.2b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
25.9b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite125.0ms

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:

26.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
22.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
56.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series723.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
60.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
527.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify138.0ms

Algorithm

egg-herbie

Counts

294 → 294

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	917	3867
1	4458	3427
2	5001	3408

prune766.0ms

Filtered

294 candidates to 157 candidates (46.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	291	3	294
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	292	12	304

Merged error: 26.0b

Counts

304 → 12

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.2b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

3053×	`*-un-lft-identity`
1983×	`distribute-lft-out`
1553×	`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 → 726

Calls

4 calls:

21.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
23.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
80.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
61.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
57.0ms	(* (+ (* (+ (* 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)))
480.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify213.0ms

Algorithm

egg-herbie

Counts

738 → 738

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	718	12129
1	3276	10376
2	5002	9780

prune610.0ms

Filtered

738 candidates to 127 candidates (82.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	736	2	738
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	738	12	750

Merged error: 25.9b

Counts

750 → 12

localize31.0ms

Local error

Found 4 expressions with local error:

22.4b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
22.4b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
22.4b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
26.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

342×	`*-un-lft-identity`
203×	`distribute-lft-out`
190×	`associate-l`
66×	`times-frac`
51×	`cbrt-prod`
38×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
11×	`associate-/l*`
9×	`associate-r`
6×	`add-exp-log` `cbrt-div` `associate-l/` `associate-/r` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `*-commutative` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 188

Calls

4 calls:

25.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
22.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
21.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
190.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

series1.1s

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
214.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
211.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
503.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

simplify147.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	359	5554
1	1084	5167
2	4485	5081
3	5001	5062

prune526.0ms

Filtered

200 candidates to 105 candidates (47.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	200	12	212

Merged error: 25.9b

Counts

212 → 12

regimes580.0ms

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.1b and baseline of 29.2b

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

sample929.0ms

Algorithm

intervals

Results

578.0ms

8241×

body

valid