Details

sample55.0ms

Algorithm

intervals

Results

16.0ms	317×	body	80	nan
15.0ms	281×	body	80	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`pow1` `times-frac` `associate-r` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

9.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms	(/ y (* 3.0 (sqrt x)))
12.0ms	(/ 1.0 (* x 9.0))
9.0ms	(* 3.0 (sqrt x))

series172.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
58.0ms	(/ y (* 3.0 (sqrt x)))
24.0ms	(/ 1.0 (* x 9.0))
59.0ms	(* 3.0 (sqrt x))

simplify47.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	425	414
1	1696	363
2	5001	355

prune208.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
64×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`pow1` `associate-r` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 129

Calls

4 calls:

13.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
5.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series166.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
55.0ms	(/ y (* 3.0 (sqrt x)))
15.0ms	(/ (/ 1.0 x) 9.0)
40.0ms	(* 3.0 (sqrt x))

simplify91.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	660	806
1	2588	746
2	5001	746

prune355.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
0.3b	(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))
0.3b	(* 3.0 (sqrt x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

290×	`times-frac`
119×	`add-sqr-sqrt`
115×	`add-cube-cbrt` `*-un-lft-identity`
54×	`cbrt-prod`
41×	`add-exp-log`
33×	`associate-/l*`
28×	`add-cbrt-cube`
19×	`cbrt-undiv` `div-exp` `div-inv`
8×	`associate-/r*`
6×	`pow1` `associate-r` `prod-exp` `cbrt-unprod`
4×	`sqrt-prod` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 235

Calls

4 calls:

6.0ms	(/ y (* 3.0 (sqrt x)))
14.0ms	(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
9.0ms	(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))
5.0ms	(* 3.0 (sqrt x))

series297.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ y (* 3.0 (sqrt x)))
107.0ms	(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
97.0ms	(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))
38.0ms	(* 3.0 (sqrt x))

simplify97.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	978	2412
1	4056	2240
2	5002	2213

prune783.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ y (pow x 1/2))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* (/ 1 3.0) (/ y (pow x 1/2)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

146×	`times-frac`
126×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
83×	`add-cube-cbrt`
58×	`add-exp-log`
26×	`div-exp`
25×	`associate-r`
24×	`unpow-prod-down`
23×	`add-cbrt-cube`
16×	`prod-exp` `associate-/l*`
13×	`associate-l`
12×	`unswap-sqr`
10×	`associate-/r*` `sqr-pow`
8×	`cbrt-undiv` `div-inv`
6×	`pow1` `add-log-exp`
5×	`pow-to-exp` `pow-exp`
4×	`rec-exp` `1-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 213

Calls

4 calls:

13.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
5.0ms	(/ y (pow x 1/2))
6.0ms	(/ (/ 1.0 x) 9.0)
18.0ms	(* (/ 1 3.0) (/ y (pow x 1/2)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
50.0ms	(/ y (pow x 1/2))
15.0ms	(/ (/ 1.0 x) 9.0)
62.0ms	(* (/ 1 3.0) (/ y (pow x 1/2)))

simplify106.0ms

Algorithm

egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	966	1399
1	4585	1294
2	5001	1270

prune517.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample782.0ms

Algorithm

intervals

Results

273.0ms	8561×	body	80	valid
245.0ms	8605×	body	80	nan