Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

329×

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
7.5b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite69.0ms

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:

39.0ms	(* (- 1.0 x) (- 3.0 x))
28.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series70.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (- 1.0 x) (- 3.0 x))
47.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (12.0ms)

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

prune128.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

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	(/ (- 3.0 x) 3.0)
16.0ms	(/ (- 1.0 x) y)
54.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series121.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- 3.0 x) 3.0)
34.0ms	(/ (- 1.0 x) y)
46.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (52.0ms)

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

prune275.0ms

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`add-exp-log`
47×	`*-un-lft-identity`
41×	`times-frac`
32×	`associate-r`
31×	`add-cbrt-cube`
30×	`add-cube-cbrt`
22×	`prod-exp`
12×	`frac-times` `div-exp` `associate-*l/` `cbrt-unprod`
10×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `flip3--` `flip--`
6×	`associate-l`
5×	`associate-/l*`
4×	`associate-*r/` `pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r*` `un-div-inv` `div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num`

Counts

3 → 139

Calls

3 calls:

16.0ms	(/ (- 3.0 x) 3.0)
30.0ms	(* (- 1.0 x) (/ 1 y))
66.0ms	(* (* (- 1.0 x) (/ 1 y)) (/ (- 3.0 x) 3.0))

series123.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- 3.0 x) 3.0)
33.0ms	(* (- 1.0 x) (/ 1 y))
48.0ms	(* (* (- 1.0 x) (/ 1 y)) (/ (- 3.0 x) 3.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	644	917
1	3398	768
2	5001	755

prune246.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

16.0ms	(/ (- 1.0 x) y)
25.0ms	(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
46.0ms	(* (/ (- 1.0 x) y) (- 3.0 x))

series126.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 1.0 x) y)
45.0ms	(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
45.0ms	(* (/ (- 1.0 x) y) (- 3.0 x))

simplify60.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	509	749
1	2284	664
2	5001	664

prune209.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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

sample467.0ms

Algorithm

intervals

Results

252.0ms

10618×

body

valid