Details

Time bar (total: 14.4s)

sample4.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
15.0ms256×body80valid
9.0ms150×body80invalid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.4b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.3b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.5b
(* (* (* z 4.0) t) a)
18.1b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
pow-prod-down
add-sqr-sqrt add-cube-cbrt
associate-*r* add-log-exp
times-frac associate-/l*
cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
5.0ms
(* (* x 9.0) y)
6.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series81.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 9.0) y)
21.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
50.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify70.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune378.0ms

Filtered
57 candidates to 89 candidates (-56.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 6.4b

Counts
90 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.8b
(/ (* a t) c)
6.6b
(/ b (* z c))
9.9b
(/ (* x y) (* z c))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
times-frac
pow1
associate-*r* associate-/r* associate-/l*
div-inv add-log-exp
frac-2neg associate-*l* clear-num
associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ (* a t) c)
4.0ms
(/ b (* z c))
5.0ms
(/ (* x y) (* z c))

series28.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ (* a t) c)
5.0ms
(/ b (* z c))
9.0ms
(/ (* x y) (* z c))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune175.0ms

Filtered
62 candidates to 104 candidates (-67.7%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New9410104
Fresh6511
Picked101
Done000
Total10115116

Merged error: 0.5b

Counts
116 → 15

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
6.0b
(/ a (/ c t))
6.6b
(/ b (* z c))
9.9b
(/ (* x y) (* z c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
div-inv
associate-/l*
pow1
associate-*r*
add-log-exp
frac-2neg associate-*l* clear-num
associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(/ a (/ c t))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series29.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(/ a (/ c t))
5.0ms
(/ b (* z c))
7.0ms
(/ (* x y) (* z c))

simplify74.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0634870
13152746
25001746

prune194.0ms

Filtered
104 candidates to 153 candidates (-47.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1512153
Fresh41014
Picked101
Done000
Total15612168

Merged error: 0.0b

Counts
168 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.8b
(* a (/ t c))
6.6b
(/ b (* z c))
9.9b
(/ (* x y) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
18×associate-*r*
16×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
15×times-frac
11×cbrt-undiv div-exp
pow1
associate-*l*
div-inv associate-/l* add-log-exp
unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 103
Calls
4 calls:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(* a (/ t c))
4.0ms
(/ b (* z c))
5.0ms
(/ (* x y) (* z c))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(* a (/ t c))
5.0ms
(/ b (* z c))
7.0ms
(/ (* x y) (* z c))

simplify62.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0475551
12583432
25001432

prune88.0ms

Filtered
69 candidates to 115 candidates (-66.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh01111
Picked011
Done000
Total11512127

Merged error: 0.0b

Counts
127 → 12

regimes1.8s

Accuracy

19.8% (8.6b remaining)

Error of 8.7b against oracle of 0.1b and baseline of 10.8b

bsearch543.0ms

Steps
ItersRangePoint
9
1.1434508080592213e+279
5.297866511384456e+286
1.0009977384636966e+281
5
5.331703908733611e+211
1.2552235811655598e+212
7.344408095582395e+211
9
6.516869098612793e+106
3.4483634932775783e+115
1.8349305440371135e+109
10
2051970351.8688622
2.89409574475108e+22
3.500769514356552e+18
8
6.55609250201155e-78
3.0834773738232895e-74
1.6870371903029433e-74
9
-3.750134677102352e-96
-1.2150512894881206e-102
-2.852090091533088e-97
8
-2.982295718583346e+25
-1.0531271079407238e+22
-7.090327094163221e+24
8
-2.568659348426983e+218
-4.1816745038671363e+214
-2.967085387178265e+216

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09598
19898
210498
310798
411398
512498
613198
713298
813298

end0.0ms

sample5.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
476.0ms8000×body80valid
284.0ms4712×body80invalid

Profiling

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