Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

262×

body

valid

simplify90.0ms

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: 29.1b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
28.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite58.0ms

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:

7.0ms	(* (+ (* x y) z) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
26.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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:

37.0ms	(* (+ (* x y) z) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
68.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
328.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify70.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	531	1215
1	2150	1085
2	5001	1065

prune546.0ms

Filtered

111 candidates to 96 candidates (86.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	101	10	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	10	112

Merged error: 27.9b

Counts

112 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
28.5b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

11.0ms	(* (+ (* x y) z) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
5.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
21.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ (* x y) z) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
59.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
320.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	545	1168
1	2207	978
2	5001	910

prune514.0ms

Filtered

130 candidates to 89 candidates (68.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	129	11	140

Merged error: 27.9b

Counts

140 → 11

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
28.5b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite80.0ms

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:

10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
25.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
71.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
424.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
472.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify110.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	708	3500
1	3257	3079
2	5001	2918

prune650.0ms

Filtered

175 candidates to 118 candidates (67.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	175	11	186

Merged error: 27.9b

Counts

186 → 11

localize33.0ms

Local error

Found 4 expressions with local error:

18.0b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
18.0b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
18.0b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.9b	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) 1))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

12.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
12.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
11.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) 1))

series924.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
139.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
136.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
512.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) 1))

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	405	1692
1	1423	1495
2	5002	1451

prune470.0ms

Filtered

92 candidates to 77 candidates (83.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	92	11	103

Merged error: 27.9b

Counts

103 → 11

regimes559.0ms

Accuracy

0% (1.2b remaining)

Error of 29.6b against oracle of 28.5b and baseline of 29.6b

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

sample1.0s

Algorithm

intervals

Results

664.0ms

8226×

body

valid