Details

sample24.0ms

Algorithm

intervals

Results

15.0ms

332×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	65	5
2	175	5
3	475	5
4	1183	5
5	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
2.6b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
10×	`add-sqr-sqrt`
8×	`frac-times` `*-un-lft-identity` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `associate-r/` `div-exp` `associate-l/`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

20.0ms	(* (- 1.0 x) (- 3.0 x))
11.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series72.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- 1.0 x) (- 3.0 x))
45.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	413	460
1	2310	393
2	5001	393

prune126.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.0b	(/ (- 3.0 x) 3.0)
0.1b	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 138

Calls

3 calls:

7.0ms	(/ (- 1.0 x) y)
7.0ms	(/ (- 3.0 x) 3.0)
32.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series117.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 x) y)
36.0ms	(/ (- 3.0 x) 3.0)
47.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	559	898
1	2363	816
2	5001	815

prune263.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.0b	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
0.1b	(/ (/ (- 3.0 x) 3.0) y)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
178×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
26×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`flip3--` `div-sub` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 222

Calls

3 calls:

7.0ms	(/ (- 3.0 x) 3.0)
40.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
11.0ms	(/ (/ (- 3.0 x) 3.0) y)

series125.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (- 3.0 x) 3.0)
43.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
43.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify105.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	794	1722
1	3986	1628
2	5002	1628

prune459.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 3.0 (- 3.0 x))
0.0b	(* (- 1.0 x) (/ (/ 1 (/ 3.0 (- 3.0 x))) y))
0.1b	(/ (/ 1 (/ 3.0 (- 3.0 x))) y)
0.1b	(/ 1 (/ 3.0 (- 3.0 x)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

1313×	`times-frac`
735×	`add-sqr-sqrt`
716×	`*-un-lft-identity`
554×	`add-cube-cbrt`
208×	`associate-r`
80×	`distribute-lft-out--` `difference-of-squares`
74×	`associate-/l*`
64×	`add-exp-log`
60×	`associate-/r/`
36×	`div-exp` `div-inv`
34×	`add-cbrt-cube`
29×	`associate-/r*`
28×	`flip3--` `flip--`
16×	`cbrt-undiv`
8×	`prod-exp`
7×	`pow1`
6×	`rec-exp` `1-exp` `unswap-sqr`
5×	`associate-l`
4×	`cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`frac-times` `associate-*l/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 686

Calls

4 calls:

5.0ms	(/ 3.0 (- 3.0 x))
102.0ms	(* (- 1.0 x) (/ (/ 1 (/ 3.0 (- 3.0 x))) y))
30.0ms	(/ (/ 1 (/ 3.0 (- 3.0 x))) y)
10.0ms	(/ 1 (/ 3.0 (- 3.0 x)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 3.0 (- 3.0 x))
46.0ms	(* (- 1.0 x) (/ (/ 1 (/ 3.0 (- 3.0 x))) y))
37.0ms	(/ (/ 1 (/ 3.0 (- 3.0 x))) y)
45.0ms	(/ 1 (/ 3.0 (- 3.0 x)))

simplify113.0ms

Algorithm

egg-herbie

Counts

698 → 698

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2281	6862
1	5002	6396

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b 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	14	6
1	14	6

end0.0ms

sample666.0ms

Algorithm

intervals

Results

498.0ms

10712×

body

valid