Details

Time bar (total: 3.3s)

sample19.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21795
35125
413575
550015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.0b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u 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 → 85
Calls
2 calls:
19.0ms
(* (- 1.0 x) (- 3.0 x))
15.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series77.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (- 1.0 x) (- 3.0 x))
53.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify87.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0497758
12837559
25002559

prune175.0ms

Filtered
91 candidates to 53 candidates (58.2%)
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
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite58.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 144
Calls
3 calls:
9.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (- 1.0 x) y)
34.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series126.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- 3.0 x) 3.0)
40.0ms
(/ (- 1.0 x) y)
47.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0571920
12402835
25001834

prune338.0ms

Filtered
153 candidates to 109 candidates (71.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
237×add-sqr-sqrt
208×*-un-lft-identity
140×add-cube-cbrt
68×associate-*l*
64×add-exp-log
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
30×div-exp
29×associate-/r*
19×associate-*r*
18×associate-/r/
14×cbrt-undiv prod-exp
12×div-inv
11×associate-/l*
10×unswap-sqr
9×flip3-- flip--
7×pow1
6×rec-exp 1-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 320
Calls
4 calls:
11.0ms
(/ (- 3.0 x) 3.0)
5.0ms
(/ y (- 1.0 x))
10.0ms
(/ 1 (/ y (- 1.0 x)))
64.0ms
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

series171.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (- 3.0 x) 3.0)
36.0ms
(/ y (- 1.0 x))
34.0ms
(/ 1 (/ y (- 1.0 x)))
55.0ms
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
332 → 332
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
011592451
150012159

prune916.0ms

Filtered
332 candidates to 220 candidates (66.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.2b
(/ (* y 3.0) (- 3.0 x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
68×add-sqr-sqrt *-un-lft-identity
28×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
16×add-exp-log associate-/r* add-cbrt-cube
15×associate-/r/
8×flip3-- flip-- div-inv
7×cbrt-undiv div-exp
6×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 122
Calls
2 calls:
16.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
7.0ms
(/ (* y 3.0) (- 3.0 x))

series92.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
45.0ms
(/ (* y 3.0) (- 3.0 x))

simplify92.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06431124
129341051
250011048

prune266.0ms

Filtered
128 candidates to 92 candidates (71.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample460.0ms

Algorithm
intervals
Results
276.0ms10580×body80valid