Details

Time bar (total: 2.8s)

sample18.0ms

Algorithm
intervals
Results
9.0ms353×body80valid

simplify44.0ms

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: 5.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.7b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite28.0ms

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:
10.0ms
(* (- 1.0 x) (- 3.0 x))
14.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series76.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 x) (- 3.0 x))
48.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0497758
12837559
25002559

prune161.0ms

Filtered
91 candidates to 53 candidates (58.2%)
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
(/ (- 1.0 x) y)
0.0b
(/ (- 3.0 x) 3.0)
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×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:
6.0ms
(/ (- 1.0 x) y)
6.0ms
(/ (- 3.0 x) 3.0)
17.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- 1.0 x) y)
41.0ms
(/ (- 3.0 x) 3.0)
51.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0571920
12402835
25001834

prune318.0ms

Filtered
153 candidates to 110 candidates (71.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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×expm1-log1p-u flip3-- div-sub prod-exp flip-- cbrt-unprod log1p-expm1-u 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 → 228
Calls
3 calls:
7.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (/ (- 3.0 x) 3.0) y)
26.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series131.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (- 3.0 x) 3.0)
41.0ms
(/ (/ (- 3.0 x) 3.0) y)
47.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify116.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08101746
140351652
250021649

prune516.0ms

Filtered
237 candidates to 175 candidates (73.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
53×*-un-lft-identity
37×add-cube-cbrt
34×times-frac
19×add-exp-log associate-*l* add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
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×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×sub-neg frac-2neg associate-*l/ clear-num unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 138
Calls
3 calls:
7.0ms
(/ (- 1.0 x) y)
13.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
16.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)

series129.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (- 1.0 x) y)
47.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
47.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)

simplify84.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06421097
13026880
25002874

prune252.0ms

Filtered
147 candidates to 93 candidates (63.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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)

IterNodesCost
0105
1105

end0.0ms

sample433.0ms

Algorithm
intervals
Results
259.0ms10693×body80valid