Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	271×	body	80	valid
10.0ms	264×	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

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b	(* 3.0 (sqrt x))
0.2b	(/ y (* 3.0 (sqrt x)))
0.8b	(/ 1.0 (* x 9.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(/ y (* 3.0 (sqrt x)))
7.0ms	(/ 1.0 (* x 9.0))

series164.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
38.0ms	(* 3.0 (sqrt x))
62.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	516	590
1	2039	534
2	5001	532

prune202.0ms

Filtered

97 candidates to 70 candidates (72.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (sqrt x))
0.3b	(/ (* 3.0 (sqrt x)) y)
0.6b	(/ 1 (/ (* 3.0 (sqrt x)) y))
0.8b	(/ 1.0 (* x 9.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
37×	`add-exp-log`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
16×	`div-exp`
11×	`associate-/r*`
9×	`cbrt-undiv`
7×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `prod-exp`
4×	`sqrt-prod` `cbrt-unprod` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 120

Calls

4 calls:

5.0ms	(* 3.0 (sqrt x))
5.0ms	(/ (* 3.0 (sqrt x)) y)
9.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))
5.0ms	(/ 1.0 (* x 9.0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 3.0 (sqrt x))
66.0ms	(/ (* 3.0 (sqrt x)) y)
60.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))
16.0ms	(/ 1.0 (* x 9.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	608	748
1	2921	637
2	5001	600

prune215.0ms

Filtered

132 candidates to 78 candidates (59.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	132	8	140

Merged error: 0.0b

Counts

140 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (/ (sqrt x) y))
0.2b	(/ (sqrt x) y)
0.6b	(/ 1 (* 3.0 (/ (sqrt x) y)))
0.8b	(/ 1.0 (* x 9.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
44×	`times-frac`
37×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
22×	`associate-r` `sqrt-prod`
13×	`div-exp`
12×	`associate-/l*`
9×	`pow1` `prod-exp`
8×	`cbrt-undiv`
5×	`associate-/r*` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num` `unswap-sqr`
2×	`pow-flip` `associate-*r/` `pow-prod-down`
1×	`associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 135

Calls

4 calls:

13.0ms	(* 3.0 (/ (sqrt x) y))
4.0ms	(/ (sqrt x) y)
7.0ms	(/ 1 (* 3.0 (/ (sqrt x) y)))
4.0ms	(/ 1.0 (* x 9.0))

series210.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* 3.0 (/ (sqrt x) y))
61.0ms	(/ (sqrt x) y)
62.0ms	(/ 1 (* 3.0 (/ (sqrt x) y)))
16.0ms	(/ 1.0 (* x 9.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	573	797
1	2644	686
2	5001	680

prune250.0ms

Filtered

147 candidates to 91 candidates (61.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	147	8	155

Merged error: 0.0b

Counts

155 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ 1 3.0) (/ (sqrt x) y)))
0.2b	(/ (sqrt x) y)
0.6b	(/ (/ 1 3.0) (/ (sqrt x) y))
0.8b	(/ 1.0 (* x 9.0))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

787×	`times-frac`
402×	`add-sqr-sqrt`
372×	`*-un-lft-identity`
364×	`add-cube-cbrt`
141×	`sqrt-prod`
40×	`div-inv`
33×	`add-exp-log`
26×	`associate-/r*`
23×	`add-cbrt-cube`
22×	`associate-/l*`
19×	`div-exp`
11×	`cbrt-undiv`
10×	`difference-of-squares`
9×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `diff-log` `clear-num` `distribute-lft-out--`
2×	`sub-neg` `rec-exp` `flip3--` `1-exp` `associate--l+` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`

Counts

4 → 435

Calls

4 calls:

91.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ 1 3.0) (/ (sqrt x) y)))
4.0ms	(/ (sqrt x) y)
14.0ms	(/ (/ 1 3.0) (/ (sqrt x) y))
4.0ms	(/ 1.0 (* x 9.0))

series193.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ 1 3.0) (/ (sqrt x) y)))
68.0ms	(/ (sqrt x) y)
57.0ms	(/ (/ 1 3.0) (/ (sqrt x) y))
16.0ms	(/ 1.0 (* x 9.0))

simplify92.0ms

Algorithm

egg-herbie

Counts

447 → 447

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2039	5096
1	5001	4779

prune664.0ms

Filtered

447 candidates to 226 candidates (50.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	447	0	447
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	447	8	455

Merged error: 0.0b

Counts

455 → 8

regimes60.0ms

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	18	8
1	18	8

end0.0ms

sample991.0ms

Algorithm

intervals

Results

358.0ms	8538×	body	80	valid
344.0ms	8585×	body	80	nan