Details

Time bar (total: 2.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms343×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.4b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite30.0ms

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:
17.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series68.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (- 1.0 x) (- 3.0 x))
46.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune135.0ms

Filtered
69 candidates to 47 candidates (68.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite97.0ms

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:
14.0ms
(/ (- 3.0 x) 3.0)
17.0ms
(/ (- 1.0 x) y)
55.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- 3.0 x) 3.0)
35.0ms
(/ (- 1.0 x) y)
57.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0559898
12363816
25001815

prune267.0ms

Filtered
147 candidates to 104 candidates (70.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))

rewrite107.0ms

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:
7.0ms
(/ (- 3.0 x) 3.0)
16.0ms
(/ (/ (- 3.0 x) 3.0) y)
71.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series121.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 3.0 x) 3.0)
41.0ms
(/ (/ (- 3.0 x) 3.0) y)
43.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify106.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07941722
139861628
250021628

prune427.0ms

Filtered
231 candidates to 170 candidates (73.6%)
Pruning

4 alts after pruning (2 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)))
0.4b
(/ (* y 3.0) (- 3.0 x))

rewrite28.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×div-sub
Counts
2 → 118
Calls
2 calls:
14.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
9.0ms
(/ (* y 3.0) (- 3.0 x))

series82.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
36.0ms
(/ (* y 3.0) (- 3.0 x))

simplify65.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06291107
128751038
250011035

prune221.0ms

Filtered
124 candidates to 88 candidates (71.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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

sample424.0ms

Algorithm
intervals
Results
258.0ms10610×body80valid