Details

sample47.0ms

Algorithm

intervals

Results

14.0ms	272×	body	80	valid
13.0ms	268×	body	80	nan

simplify19.0ms

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

prune2.0ms

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	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite18.0ms

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:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms	(/ y (* 3.0 (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series147.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
60.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))
41.0ms	(* 3.0 (sqrt x))

simplify44.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (38.0ms)

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

prune211.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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

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:

16.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
8.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series154.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
56.0ms	(/ y (* 3.0 (sqrt x)))
22.0ms	(/ (/ 1.0 x) 9.0)
38.0ms	(* 3.0 (sqrt x))

simplify62.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (14.0ms)

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

prune360.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
101×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
83×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`div-inv`
7×	`associate-/r*`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `associate--l+` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 172

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
71.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ (/ y 3.0) (sqrt x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
48.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
15.0ms	(/ 1.0 (* x 9.0))
60.0ms	(/ (/ y 3.0) (sqrt x))

simplify67.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	771	1529
1	2943	1446
2	5001	1446

prune417.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.4b	(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
51×	`times-frac`
37×	`*-un-lft-identity`
35×	`add-cube-cbrt`
28×	`associate-r` `sqrt-prod`
25×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
11×	`unswap-sqr`
9×	`add-log-exp`
8×	`pow1`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
3×	`diff-log` `div-inv` `associate-/l*`
2×	`sub-neg` `flip3--` `pow-prod-down` `associate--l+` `*-commutative` `frac-sub` `flip--`
1×	`associate--l-` `frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

14.0ms	(- (- 1.0 (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(* 3.0 (sqrt x))
24.0ms	(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

series301.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (- 1.0 (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
63.0ms	(/ y (* 3.0 (sqrt x)))
36.0ms	(* 3.0 (sqrt x))
92.0ms	(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	795	1161
1	3572	1009
2	5002	964

prune363.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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

sample804.0ms

Algorithm

intervals

Results

279.0ms	8540×	body	80	valid
254.0ms	8604×	body	80	nan