Details

Time bar (total: 2.8s)

sample25.0ms

Algorithm
intervals
Results
14.0ms359×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21795
35125
413575
550015

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
associate-/l/
flip3-- flip--
cbrt-undiv frac-times div-exp prod-exp cbrt-unprod
associate-*r/ associate-*l/
pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
14.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0316259
11729201
25001201

prune78.0ms

Filtered
34 candidates to 24 candidates (70.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New30434
Fresh000
Picked011
Done000
Total30535

Merged error: 0.0b

Counts
35 → 5

localize8.0ms

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))

rewrite40.0ms

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*
cbrt-undiv div-exp associate-/r*
pow1
prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
flip3-- frac-2neg div-sub clear-num flip--
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 144
Calls
3 calls:
7.0ms
(/ (- 1.0 x) y)
7.0ms
(/ (- 3.0 x) 3.0)
20.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series141.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- 1.0 x) y)
41.0ms
(/ (- 3.0 x) 3.0)
56.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0571920
12402835
25001834

prune285.0ms

Filtered
153 candidates to 109 candidates (71.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1512153
Fresh033
Picked101
Done101
Total1535158

Merged error: 0b

Counts
158 → 5

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))

rewrite54.0ms

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
cbrt-undiv div-exp
associate-/r*
pow1 associate-*l*
expm1-log1p-u flip3-- div-sub prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp unswap-sqr
frac-times frac-2neg associate-*l/ clear-num
associate-*r/ pow-prod-down *-commutative
Counts
3 → 228
Calls
3 calls:
7.0ms
(/ (- 3.0 x) 3.0)
10.0ms
(/ (/ (- 3.0 x) 3.0) y)
25.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series148.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- 3.0 x) 3.0)
42.0ms
(/ (/ (- 3.0 x) 3.0) y)
57.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify134.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
08101746
140351652
250021649

prune476.0ms

Filtered
237 candidates to 176 candidates (74.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2370237
Fresh044
Picked011
Done000
Total2375242

Merged error: 0b

Counts
242 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×add-exp-log
47×*-un-lft-identity
41×times-frac
31×add-cbrt-cube
30×add-cube-cbrt
24×associate-*l*
22×prod-exp
14×associate-*r*
12×frac-times div-exp cbrt-unprod
10×pow1
associate-*r/
distribute-lft-out-- difference-of-squares
cbrt-undiv flip3-- associate-*l/ flip--
associate-/l*
pow-prod-down
expm1-log1p-u rec-exp 1-exp associate-/r* un-div-inv log1p-expm1-u div-inv add-log-exp unswap-sqr
*-commutative associate-/l/
frac-2neg div-sub clear-num
Counts
3 → 145
Calls
3 calls:
7.0ms
(/ (- 1.0 x) y)
22.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
11.0ms
(* (- 3.0 x) (/ 1 3.0))

series136.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 1.0 x) y)
57.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
43.0ms
(* (- 3.0 x) (/ 1 3.0))

simplify94.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0653936
13023794
25002782

prune264.0ms

Filtered
154 candidates to 103 candidates (66.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh033
Picked011
Done011
Total1545159

Merged error: 0b

Counts
159 → 5

regimes103.0ms

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 (1.0ms)

IterNodesCost
0105
1105

end0.0ms

sample513.0ms

Algorithm
intervals
Results
339.0ms10624×body80valid