Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	272×	body	80	valid
8.0ms	280×	body	80	nan

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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)))
0.2b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite42.0ms

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:

13.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms	(/ y (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
7.0ms	(/ 1.0 (* x 9.0))

series140.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
56.0ms	(/ y (* 3.0 (sqrt x)))
35.0ms	(* 3.0 (sqrt x))
19.0ms	(/ 1.0 (* x 9.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (60.0ms)

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

prune266.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(/ (/ y 3.0) (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt` `*-un-lft-identity`
96×	`add-cube-cbrt`
42×	`sqrt-prod`
21×	`prod-diff`
16×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`div-inv`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 177

Calls

3 calls:

13.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
15.0ms	(/ (/ y 3.0) (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series105.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
57.0ms	(/ (/ y 3.0) (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	803	1634
1	3124	1371
2	5001	1368

prune389.0ms

Pruning

7 alts after pruning (6 fresh and 1 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)))
0.2b	(* 3.0 (sqrt x))
0.3b	(/ (/ 1.0 x) 9.0)

rewrite76.0ms

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:

30.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
9.0ms	(/ y (* 3.0 (sqrt x)))
9.0ms	(* 3.0 (sqrt x))
11.0ms	(/ (/ 1.0 x) 9.0)

series148.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
54.0ms	(/ y (* 3.0 (sqrt x)))
40.0ms	(* 3.0 (sqrt x))
16.0ms	(/ (/ 1.0 x) 9.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1521	5187
1	5001	4040

prune634.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ y (cbrt 3.0)) (sqrt x))
0.3b	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
0.3b	(/ y (cbrt 3.0))
0.4b	(/ 1.0 (* x 9.0))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

566×	`times-frac`
348×	`add-sqr-sqrt`
290×	`*-un-lft-identity`
283×	`add-cube-cbrt`
144×	`sqrt-prod`
136×	`associate-r`
135×	`cbrt-prod`
94×	`add-exp-log`
41×	`add-cbrt-cube`
39×	`div-exp`
31×	`prod-exp`
28×	`associate-/l*`
21×	`cbrt-undiv` `unswap-sqr`
18×	`div-inv`
13×	`associate-/r*` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `rec-exp` `1-exp`
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 → 449

Calls

4 calls:

16.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))
107.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
6.0ms	(/ y (cbrt 3.0))
8.0ms	(/ 1.0 (* x 9.0))

series344.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))
120.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
61.0ms	(/ y (cbrt 3.0))
17.0ms	(/ 1.0 (* x 9.0))

simplify100.0ms

Algorithm

egg-herbie

Counts

461 → 461

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1783	5001
1	5001	4643

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

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	13	7
1	13	7

end0.0ms

sample885.0ms

Algorithm

intervals

Results

265.0ms	8512×	body	80	valid
245.0ms	8608×	body	80	nan