Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	317×	body	80	nan
8.0ms	281×	body	80	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
21×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
6×	`pow1` `associate-r` `associate-/l*` `add-log-exp`
5×	`div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

10.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(/ 1.0 (* x 9.0))
9.0ms	(* 3.0 (sqrt x))

series140.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
57.0ms	(/ y (* 3.0 (sqrt x)))
15.0ms	(/ 1.0 (* x 9.0))
37.0ms	(* 3.0 (sqrt x))

simplify61.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	571	871
1	2234	635
2	5001	629

prune250.0ms

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))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
213×	`add-sqr-sqrt`
202×	`*-un-lft-identity`
200×	`add-cube-cbrt`
129×	`prod-diff`
18×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`pow1` `associate-r` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-prod` `log1p-expm1-u`
3×	`fma-neg` `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 → 269

Calls

4 calls:

17.0ms	(- 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))

series144.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
58.0ms	(/ y (* 3.0 (sqrt x)))
15.0ms	(/ (/ 1.0 x) 9.0)
41.0ms	(* 3.0 (sqrt x))

simplify73.0ms

Algorithm

egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1521	5187
1	5001	4040

prune616.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite42.0ms

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

Counts

4 → 243

Calls

4 calls:

5.0ms	(/ y (* 3.0 (sqrt x)))
13.0ms	(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
8.0ms	(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))
5.0ms	(* 3.0 (sqrt x))

series310.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ y (* 3.0 (sqrt x)))
114.0ms	(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
94.0ms	(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))
40.0ms	(* 3.0 (sqrt x))

simplify94.0ms

Algorithm

egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	996	2454
1	4098	2282
2	5001	2251

prune810.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

333×	`times-frac`
266×	`add-sqr-sqrt`
235×	`*-un-lft-identity`
230×	`add-cube-cbrt`
129×	`prod-diff`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
20×	`div-inv`
16×	`associate-/l*`
13×	`associate-l`
12×	`div-exp`
9×	`associate-/r*` `unswap-sqr`
8×	`cbrt-undiv` `prod-exp`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg` `difference-of-squares`
2×	`rec-exp` `frac-2neg` `1-exp` `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 → 333

Calls

4 calls:

17.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
4.0ms	(/ y (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)
13.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
40.0ms	(/ y (sqrt x))
21.0ms	(/ (/ 1.0 x) 9.0)
55.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify72.0ms

Algorithm

egg-herbie

Counts

345 → 345

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1722	5676
1	5001	4512

prune805.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample751.0ms

Algorithm

intervals

Results

262.0ms	8561×	body	80	valid
236.0ms	8605×	body	80	nan