Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

366×

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: 6.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.9b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite23.0ms

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:

9.0ms	(* (- 1.0 x) (- 3.0 x))
11.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- 1.0 x) (- 3.0 x))
45.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (13.0ms)

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

prune131.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite36.0ms

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:

5.0ms	(/ (- 3.0 x) 3.0)
5.0ms	(/ (- 1.0 x) y)
20.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series118.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 3.0 x) 3.0)
37.0ms	(/ (- 1.0 x) y)
44.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (53.0ms)

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

prune268.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

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)

rewrite51.0ms

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:

5.0ms	(/ (- 3.0 x) 3.0)
22.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
8.0ms	(/ (/ (- 3.0 x) 3.0) y)

series120.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 3.0 x) 3.0)
47.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
37.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify103.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 1 (19.0ms)

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

prune469.0ms

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	(- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y)))
0.1b	(* (- 1.0 x) (- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y))))
0.2b	(* 0.3333333333333333 (/ x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

5.0ms	(- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y)))
15.0ms	(* (- 1.0 x) (- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y))))
6.0ms	(* 0.3333333333333333 (/ x y))

series106.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y)))
44.0ms	(* (- 1.0 x) (- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y))))
18.0ms	(* 0.3333333333333333 (/ x y))

simplify71.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	455	779
1	2351	715
2	5001	715

prune192.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes63.0ms

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

sample409.0ms

Algorithm

intervals

Results

243.0ms

10602×

body

valid