Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

355×

body

valid

simplify37.0ms

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: 6.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
6.3b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite68.0ms

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:

38.0ms	(* (- 1.0 x) (- 3.0 x))
27.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series63.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* (- 1.0 x) (- 3.0 x))
43.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (12.0ms)

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

prune130.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))

rewrite91.0ms

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:

16.0ms	(/ (- 1.0 x) y)
18.0ms	(/ (- 3.0 x) 3.0)
51.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series109.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- 1.0 x) y)
35.0ms	(/ (- 3.0 x) 3.0)
45.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (57.0ms)

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

prune260.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite114.0ms

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:

18.0ms	(/ (- 3.0 x) 3.0)
63.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
21.0ms	(/ (/ (- 3.0 x) 3.0) y)

series115.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- 3.0 x) 3.0)
45.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
34.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify117.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 1 (22.0ms)

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

prune441.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
59×	`add-exp-log`
48×	`*-un-lft-identity`
46×	`times-frac`
35×	`add-cbrt-cube`
30×	`add-cube-cbrt`
25×	`prod-exp`
24×	`associate-l`
17×	`div-exp`
14×	`associate-r`
13×	`cbrt-unprod`
12×	`frac-times`
10×	`pow1`
9×	`cbrt-undiv`
8×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `associate-*l/` `flip--` `unswap-sqr`
5×	`associate-/l*`
4×	`rec-exp` `1-exp` `pow-prod-down` `un-div-inv`
3×	`associate-/r*` `div-inv` `add-log-exp`
2×	`*-commutative` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num`

Counts

3 → 145

Calls

3 calls:

21.0ms	(/ (- 3.0 x) 3.0)
60.0ms	(* (- 1.0 x) (* (/ (- 3.0 x) 3.0) (/ 1 y)))
40.0ms	(* (/ (- 3.0 x) 3.0) (/ 1 y))

series112.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- 3.0 x) 3.0)
38.0ms	(* (- 1.0 x) (* (/ (- 3.0 x) 3.0) (/ 1 y)))
38.0ms	(* (/ (- 3.0 x) 3.0) (/ 1 y))

simplify75.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	677	1011
1	2977	862
2	5002	848

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample474.0ms

Algorithm

intervals

Results

256.0ms

10594×

body

valid