Details

Time bar (total: 3.0s)

sample599.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 23.461914%

Guaranteed chance to sample good point: 96.45933%

Results
8.0ms256×body80valid
0.0ms3×body80invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.2b
(/ (* (- 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:
10.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(* (- 1.0 x) (- 3.0 x))
7.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune96.0ms

Filtered
47 candidates to 69 candidates (-46.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh000
Picked101
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

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))

rewrite33.0ms

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:
6.0ms
(/ (- 3.0 x) 3.0)
6.0ms
(/ (- 1.0 x) y)
16.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (- 3.0 x) 3.0)
5.0ms
(/ (- 1.0 x) y)
7.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0559898
12363816
25002815

prune202.0ms

Filtered
103 candidates to 147 candidates (-42.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1425147
Fresh314
Picked101
Done000
Total1466152

Merged error: 0b

Counts
152 → 6

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))

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:
6.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (/ (- 3.0 x) 3.0) y)
25.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (- 3.0 x) 3.0)
6.0ms
(/ (/ (- 3.0 x) 3.0) y)
7.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify108.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07941722
139861628
250011628

prune327.0ms

Filtered
170 candidates to 231 candidates (-35.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2301231
Fresh145
Picked011
Done000
Total2316237

Merged error: 0b

Counts
237 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×flip3-- associate-*r* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 84
Calls
2 calls:
6.0ms
(/ (- 1.0 x) y)
10.0ms
(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (- 1.0 x) y)
8.0ms
(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0382581
11474531
25001528

prune96.0ms

Filtered
63 candidates to 90 candidates (-42.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh044
Picked011
Done011
Total90696

Merged error: 0b

Counts
96 → 6

regimes91.0ms

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

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 23.461914%

Guaranteed chance to sample good point: 96.45933%

Results
245.0ms8000×body80valid
5.0ms167×body80invalid

Profiling

Loading profile data...