Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	8
1	156	8
2	539	8
3	2410	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: 21.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.5b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 146

Calls

3 calls:

8.0ms	(* (+ x y) (+ x y))
15.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (+ x y) (+ x y))
39.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
165.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	934	1519
1	5002	1370

prune274.0ms

Filtered

155 candidates to 94 candidates (60.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	8	156

Merged error: 9.7b

Counts

156 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
21.6b	(/ x (* (+ x y) (+ x y)))

rewrite58.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 178

Calls

4 calls:

9.0ms	(* (+ x y) (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
27.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms	(/ x (* (+ x y) (+ x y)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
43.0ms	(/ y (+ (+ x y) 1.0))
158.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
64.0ms	(/ x (* (+ x y) (+ x y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	677	1321
1	3704	1174
2	5001	1163

prune283.0ms

Filtered

190 candidates to 120 candidates (63.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	184	6	190
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	189	9	198

Merged error: 0.0b

Counts

198 → 9

localize8.0ms

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)))

rewrite88.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 318

Calls

4 calls:

7.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
10.0ms	(/ (/ x (+ x y)) (+ x y))
46.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ y (+ (+ x y) 1.0))
43.0ms	(/ x (+ x y))
63.0ms	(/ (/ x (+ x y)) (+ x y))
152.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify121.0ms

Algorithm

egg-herbie

Counts

330 → 330

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	998	2781
1	4636	2579
2	5001	2579

prune478.0ms

Filtered

330 candidates to 202 candidates (61.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	325	5	330
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	330	9	339

Merged error: 0b

Counts

339 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(expm1 (log1p (/ y (+ (+ x y) 1.0))))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (expm1 (log1p (/ y (+ (+ x y) 1.0)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

267×	`times-frac`
260×	`*-un-lft-identity`
133×	`add-sqr-sqrt`
124×	`add-cube-cbrt`
78×	`associate-l`
68×	`distribute-lft-out`
24×	`associate-/r/`
21×	`associate-/l*`
20×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+` `div-inv`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`expm1-log1p` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `expm1-udef`

Counts

4 → 261

Calls

4 calls:

5.0ms	(/ x (+ x y))
1.0ms	(expm1 (log1p (/ y (+ (+ x y) 1.0))))
15.0ms	(/ (/ x (+ x y)) (+ x y))
21.0ms	(* (/ (/ x (+ x y)) (+ x y)) (expm1 (log1p (/ y (+ (+ x y) 1.0)))))

series347.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ x (+ x y))
67.0ms	(expm1 (log1p (/ y (+ (+ x y) 1.0))))
64.0ms	(/ (/ x (+ x y)) (+ x y))
178.0ms	(* (/ (/ x (+ x y)) (+ x y)) (expm1 (log1p (/ y (+ (+ x y) 1.0)))))

simplify84.0ms

Algorithm

egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	711	2395
1	3037	2198
2	5001	2182

prune456.0ms

Filtered

273 candidates to 172 candidates (63.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	272	1	273
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	273	9	282

Merged error: 0b

Counts

282 → 9

regimes57.0ms

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	12	8
1	12	8

end0.0ms

sample365.0ms

Algorithm

intervals

Results

234.0ms

8000×

body

valid