Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

266×

body

valid

simplify92.0ms

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: 25.5b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite66.0ms

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:

13.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
9.0ms	(* (+ (* (+ y a) y) b) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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:

85.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
60.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
340.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify71.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	539	1272
1	2202	1125
2	5003	1105

prune625.0ms

Filtered

111 candidates to 97 candidates (87.4%)

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: 24.6b

Counts

112 → 10

localize28.0ms

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)
0.3b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
24.9b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite52.0ms

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:

13.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) 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)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
62.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
323.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify76.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	548	1250
1	2228	1058
2	5003	989

prune584.0ms

Filtered

130 candidates to 90 candidates (69.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	130	10	140

Merged error: 24.6b

Counts

140 → 10

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.5b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
25.0b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite84.0ms

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)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

35.0ms	(* (+ (* (+ y a) y) b) y)
59.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
438.0ms	(/ 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))

simplify108.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	709	3452
1	3238	3037
2	5001	2877

prune722.0ms

Filtered

175 candidates to 117 candidates (66.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	176	9	185

Merged error: 24.6b

Counts

185 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.3b	(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
0.5b	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))))
24.9b	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

139×	`add-exp-log`
71×	`prod-exp`
52×	`div-exp`
41×	`1-exp`
34×	`add-cbrt-cube`
26×	`rec-exp`
17×	`add-sqr-sqrt`
14×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `associate-r` `cbrt-unprod`
9×	`times-frac`
6×	`associate-l` `associate-l/` `associate-/r/` `associate-/l`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `pow-flip` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `un-div-inv` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 161

Calls

4 calls:

9.0ms	(* (+ (* (+ y a) y) b) y)
5.0ms	(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
20.0ms	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))))
20.0ms	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1)))

series1.1s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* (+ y a) y) b) y)
116.0ms	(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
432.0ms	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))))
475.0ms	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1)))

simplify74.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	631	2075
1	2455	1514
2	5001	1485

prune753.0ms

Filtered

173 candidates to 92 candidates (53.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	173	9	182

Merged error: 24.6b

Counts

182 → 9

regimes550.0ms

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

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

sample902.0ms

Algorithm

intervals

Results

548.0ms

8247×

body

valid