Details

sample38.0ms

Algorithm

intervals

Results

20.0ms

267×

body

valid

simplify100.0ms

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: 29.1b

Counts

2 → 1

localize21.0ms

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)
28.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite61.0ms

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×	`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 → 91

Calls

4 calls:

9.0ms	(* (+ (* (+ y a) y) b) y)
12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series467.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ (* (+ y a) y) b) y)
65.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
313.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	509	1265
1	2259	1154
2	5002	1152

prune452.0ms

Filtered

103 candidates to 77 candidates (74.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	11	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	11	104

Merged error: 28.1b

Counts

104 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

20.5b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.5b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.5b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
28.3b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

9.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
8.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
9.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
32.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.1s

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
189.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
188.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
452.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify56.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	402	1958
1	1253	1790
2	5001	1745

prune473.0ms

Filtered

76 candidates to 66 candidates (86.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	76	11	87

Merged error: 28.1b

Counts

87 → 11

localize29.0ms

Local error

Found 4 expressions with local error:

18.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
20.5b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.5b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
28.3b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`cbrt-prod` `flip3-+` `flip-+`
4×	`pow1` `associate-*l/` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 66

Calls

4 calls:

6.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
9.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
8.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
42.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
196.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
198.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
443.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify52.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	488	2008
1	1501	1841
2	5001	1818

prune529.0ms

Filtered

78 candidates to 67 candidates (85.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	78	11	89

Merged error: 28.1b

Counts

89 → 11

localize23.0ms

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)
0.6b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
28.4b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite81.0ms

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` `associate-*l/` `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 → 155

Calls

4 calls:

12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
24.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

70.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
442.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
474.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify99.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	682	3637
1	3368	3358
2	5002	3278

prune566.0ms

Filtered

167 candidates to 100 candidates (59.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	3	5	8
Picked	0	1	1
Done	1	1	2
Total	167	11	178

Merged error: 28.1b

Counts

178 → 11

regimes672.0ms

Accuracy

0% (1.2b remaining)

Error of 29.1b against oracle of 27.9b and baseline of 29.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	31
1	45	31

end0.0ms

sample922.0ms

Algorithm

intervals

Results

569.0ms

8268×

body

valid