Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	8
1	152	8
2	501	8
3	2153	8
4	5001	8

prune2.0ms

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: 19.8b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) 1.0)
0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.6b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
33×	`*-un-lft-identity`
32×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
26×	`associate-/r/`
18×	`associate-*r/`
16×	`pow1`
13×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `distribute-lft-out`
9×	`add-cube-cbrt` `associate-r` `add-log-exp`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`sum-log`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`+-commutative` `pow2` `associate-+l+` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

4 → 155

Calls

4 calls:

5.0ms	(+ (+ x y) 1.0)
8.0ms	(* (+ x y) (+ x y))
15.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (+ x y) 1.0)
16.0ms	(* (+ x y) (+ x y))
39.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
153.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	931	1554
1	5002	1411

prune318.0ms

Filtered

167 candidates to 100 candidates (59.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	159	8	167
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	8	168

Merged error: 5.5b

Counts

168 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x (+ y 1.0)))
0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ x (+ y 1.0))))
16.0b	(/ x (* (+ x y) (+ x y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`pow1` `frac-times`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 170

Calls

4 calls:

6.0ms	(/ y (+ x (+ y 1.0)))
8.0ms	(* (+ x y) (+ x y))
21.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ x (+ y 1.0))))
8.0ms	(/ x (* (+ x y) (+ x y)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ y (+ x (+ y 1.0)))
14.0ms	(* (+ x y) (+ x y))
159.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ x (+ y 1.0))))
59.0ms	(/ x (* (+ x y) (+ x y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	664	1330
1	3551	1145
2	5002	1141

prune331.0ms

Filtered

182 candidates to 112 candidates (61.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	176	6	182
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	182	8	190

Merged error: 0.0b

Counts

190 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x (+ y 1.0)))
0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ x (+ y 1.0))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 310

Calls

4 calls:

7.0ms	(/ y (+ x (+ y 1.0)))
5.0ms	(/ x (+ x y))
11.0ms	(/ (/ x (+ x y)) (+ x y))
40.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ x (+ y 1.0))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ y (+ x (+ y 1.0)))
38.0ms	(/ x (+ x y))
64.0ms	(/ (/ x (+ x y)) (+ x y))
158.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ x (+ y 1.0))))

simplify111.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	988	2774
1	4588	2546
2	5001	2545

prune576.0ms

Filtered

322 candidates to 193 candidates (59.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	316	6	322
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	323	7	330

Merged error: 0b

Counts

330 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x (+ y 1.0)))
0.0b	(/ x (+ x y))
0.0b	(* (/ x (+ x y)) (/ y (+ x (+ y 1.0))))
0.1b	(/ (* (/ x (+ x y)) (/ y (+ x (+ y 1.0)))) (+ x y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
62×	`times-frac`
54×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
38×	`add-exp-log` `add-cbrt-cube`
30×	`distribute-lft-out`
21×	`associate-r`
18×	`associate-l`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
10×	`associate-/r/`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/l*`
6×	`pow1`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 167

Calls

4 calls:

6.0ms	(/ y (+ x (+ y 1.0)))
5.0ms	(/ x (+ x y))
19.0ms	(* (/ x (+ x y)) (/ y (+ x (+ y 1.0))))
16.0ms	(/ (* (/ x (+ x y)) (/ y (+ x (+ y 1.0)))) (+ x y))

series365.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ y (+ x (+ y 1.0)))
43.0ms	(/ x (+ x y))
117.0ms	(* (/ x (+ x y)) (/ y (+ x (+ y 1.0))))
159.0ms	(/ (* (/ x (+ x y)) (/ y (+ x (+ y 1.0)))) (+ x y))

simplify79.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	634	1311
1	3420	1122
2	5001	1122

prune323.0ms

Filtered

179 candidates to 117 candidates (65.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	179	7	186

Merged error: 0b

Counts

186 → 7

regimes50.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample371.0ms

Algorithm

intervals

Results

237.0ms

8000×

body

valid