Details

Time bar (total: 3.2s)

analyze801.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
15.6%84.2%0.2%8
15.6%84.2%0.2%9
20.3%79.5%0.2%10
25.3%74.5%0.2%11
34.2%65.6%0.2%12
37.4%62%0.6%13
41.7%57.7%0.6%14

sample30.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
5.0ms107×body80invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0518911

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ t y) y)
0.0b
(+ x (/ (- (/ t y) y) (* z 3.0)))
2.7b
(/ (- (/ t y) y) (* z 3.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
7×add-log-exp
6×associate-/l* difference-of-squares
5×add-cube-cbrt
3×pow1 distribute-lft-out--
2×cbrt-undiv flip3-- div-sub div-exp flip-- associate-/l/
1×+-commutative associate-+r- sub-neg frac-2neg flip3-+ diff-log prod-exp clear-num associate-/r* sum-log cbrt-unprod flip-+ div-inv distribute-lft-out
Counts
3 → 57
Calls
3 calls:
7.0ms
(- (/ t y) y)
9.0ms
(+ x (/ (- (/ t y) y) (* z 3.0)))
9.0ms
(/ (- (/ t y) y) (* z 3.0))

series33.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (/ t y) y)
18.0ms
(+ x (/ (- (/ t y) y) (* z 3.0)))
11.0ms
(/ (- (/ t y) y) (* z 3.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05385752

prune93.0ms

Filtered
49 candidates to 66 candidates (-34.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New61566
Fresh011
Picked101
Done000
Total62668

Merged error: 0.0b

Counts
68 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t y) y)
0.0b
(+ x (/ (/ (- (/ t y) y) z) 3.0))
0.3b
(/ (/ (- (/ t y) y) z) 3.0)
2.5b
(/ (- (/ t y) y) z)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
163×add-sqr-sqrt
114×*-un-lft-identity
78×add-cube-cbrt
34×difference-of-squares
28×associate-/l*
17×distribute-lft-out--
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-/r* div-inv
5×div-sub
4×pow1 cbrt-undiv div-exp
3×associate-/l/
2×flip3-- frac-2neg clear-num flip--
1×+-commutative associate-+r- sub-neg flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 176
Calls
4 calls:
7.0ms
(- (/ t y) y)
21.0ms
(+ x (/ (/ (- (/ t y) y) z) 3.0))
14.0ms
(/ (/ (- (/ t y) y) z) 3.0)
9.0ms
(/ (- (/ t y) y) z)

series44.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (/ t y) y)
21.0ms
(+ x (/ (/ (- (/ t y) y) z) 3.0))
10.0ms
(/ (/ (- (/ t y) y) z) 3.0)
9.0ms
(/ (- (/ t y) y) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
054242872

prune203.0ms

Filtered
143 candidates to 188 candidates (-31.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1844188
Fresh325
Picked011
Done000
Total1877194

Merged error: 0b

Counts
194 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (* z (/ 3.0 (- (/ t y) y)))))
0.3b
(/ 3.0 (- (/ t y) y))
0.3b
(/ 1 (* z (/ 3.0 (- (/ t y) y))))
2.4b
(* z (/ 3.0 (- (/ t y) y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
47×times-frac
45×*-un-lft-identity
32×add-exp-log
28×add-cube-cbrt
24×associate-*r*
20×add-cbrt-cube
14×difference-of-squares
11×div-exp
9×pow1
8×prod-exp
7×associate-/r* distribute-lft-out--
6×cbrt-undiv associate-/l* add-log-exp
5×associate-/r/
4×cbrt-unprod div-inv
3×rec-exp 1-exp associate-*l*
2×flip3-- pow-flip frac-2neg associate-*r/ pow-prod-down clear-num flip-- distribute-lft-out unswap-sqr
1×+-commutative flip3-+ sum-log *-commutative flip-+ inv-pow
Counts
4 → 130
Calls
4 calls:
5.0ms
(+ x (/ 1 (* z (/ 3.0 (- (/ t y) y)))))
8.0ms
(/ 3.0 (- (/ t y) y))
11.0ms
(/ 1 (* z (/ 3.0 (- (/ t y) y))))
12.0ms
(* z (/ 3.0 (- (/ t y) y)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ x (/ 1 (* z (/ 3.0 (- (/ t y) y)))))
10.0ms
(/ 3.0 (- (/ t y) y))
13.0ms
(/ 1 (* z (/ 3.0 (- (/ t y) y))))
10.0ms
(* z (/ 3.0 (- (/ t y) y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049841549
149841549

prune144.0ms

Filtered
94 candidates to 142 candidates (-51.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh055
Picked011
Done011
Total1427149

Merged error: 0b

Counts
149 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t y) y)
0.0b
(+ x (* (/ 1 z) (/ (- (/ t y) y) 3.0)))
0.1b
(/ (- (/ t y) y) 3.0)
2.7b
(* (/ 1 z) (/ (- (/ t y) y) 3.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
60×times-frac
50×*-un-lft-identity
32×add-cube-cbrt
28×add-exp-log
22×associate-*r*
18×add-cbrt-cube
16×difference-of-squares
13×associate-*l*
9×div-exp
8×prod-exp distribute-lft-out-- add-log-exp
6×pow1 associate-/l* unswap-sqr
5×cbrt-undiv
4×cbrt-unprod
3×associate-/r* div-inv
2×rec-exp flip3-- 1-exp flip-- associate-/l/
1×+-commutative frac-times sub-neg frac-2neg flip3-+ diff-log div-sub associate-*r/ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
4 → 132
Calls
4 calls:
7.0ms
(- (/ t y) y)
4.0ms
(+ x (* (/ 1 z) (/ (- (/ t y) y) 3.0)))
8.0ms
(/ (- (/ t y) y) 3.0)
17.0ms
(* (/ 1 z) (/ (- (/ t y) y) 3.0))

series41.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (/ t y) y)
18.0ms
(+ x (* (/ 1 z) (/ (- (/ t y) y) 3.0)))
5.0ms
(/ (- (/ t y) y) 3.0)
14.0ms
(* (/ 1 z) (/ (- (/ t y) y) 3.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
055141685

prune141.0ms

Filtered
101 candidates to 144 candidates (-42.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh044
Picked011
Done022
Total1447151

Merged error: 0b

Counts
151 → 7

regimes274.0ms

Accuracy

85.6% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.8b

bsearch36.0ms

Steps
ItersRangePoint
8
3.978847507982505e-11
2.096509752281598e-06
1.9460236543815705e-10
6
-8.023022762371148e+82
-8.945954812341213e+81
-2.0973797362735423e+82

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06447
16447

end0.0ms

sample788.0ms

Algorithm
intervals
Results
353.0ms8000×body80valid
137.0ms3060×body80invalid

Profiling

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