Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

264×

body

valid

simplify83.0ms

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: 32.5b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
31.9b	(/ (+ (* (+ (* (+ (* (+ (* 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×	`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:

9.0ms	(* (+ (* (+ y a) y) b) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
13.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
26.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series482.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* (+ y a) y) b) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
77.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
319.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify67.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (54.0ms)

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

prune574.0ms

Filtered

111 candidates to 97 candidates (87.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	99	12	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	12	112

Merged error: 31.5b

Counts

112 → 12

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.5b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
31.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite54.0ms

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:

10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
13.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
7.0ms	(/ 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)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
79.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
59.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
312.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify72.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	548	1250
1	2228	1058
2	5001	989

prune550.0ms

Filtered

130 candidates to 89 candidates (68.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	131	11	142

Merged error: 31.5b

Counts

142 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
32.0b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite85.0ms

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:

11.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
13.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
26.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
28.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
83.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
420.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
477.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify105.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	699	3497
1	3158	3093
2	5002	2932

prune718.0ms

Filtered

175 candidates to 117 candidates (66.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	176	10	186

Merged error: 31.5b

Counts

186 → 10

localize26.0ms

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))
0.3b	(/ 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))))
31.7b	(* (+ (* (+ (* (+ (* (+ 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)))

rewrite68.0ms

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))
25.0ms	(/ 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))))
22.0ms	(* (+ (* (+ (* (+ (* (+ 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:

34.0ms	(* (+ (* (+ y a) y) b) y)
109.0ms	(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
427.0ms	(/ 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))))
485.0ms	(* (+ (* (+ (* (+ (* (+ 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)))

simplify81.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (54.0ms)

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

prune558.0ms

Filtered

173 candidates to 92 candidates (53.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	173	10	183

Merged error: 31.5b

Counts

183 → 10

regimes516.0ms

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

sample957.0ms

Algorithm

intervals

Results

594.0ms

8243×

body

valid