Details

Time bar (total: 2.6s)

analyze613.0ms

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
0%99.8%0.2%8
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.9%73.3%0.8%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms69×body80invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
07339
17339

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: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.7b
(/ (* y (- z x)) t)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
6.0ms
(* y (- z x))
5.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series30.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z x))
11.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(/ (* y (- z x)) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05612574

prune74.0ms

Filtered
45 candidates to 68 candidates (-51.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh011
Picked011
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.5b
(/ 1 (/ t (* y (- z x))))
7.7b
(/ t (* y (- z x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
pow1 cbrt-undiv div-inv
flip3-- flip-- associate-/l* add-log-exp
associate-*r* prod-exp
rec-exp 1-exp associate-*l* cbrt-unprod
sub-neg frac-2neg clear-num distribute-lft-out
+-commutative distribute-rgt-in pow-flip distribute-lft-in flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 124
Calls
4 calls:
6.0ms
(* y (- z x))
10.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
8.0ms
(/ 1 (/ t (* y (- z x))))
6.0ms
(/ t (* y (- z x)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* y (- z x))
13.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
12.0ms
(/ 1 (/ t (* y (- z x))))
10.0ms
(/ t (* y (- z x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049941340
149941340

prune113.0ms

Filtered
83 candidates to 136 candidates (-63.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1342136
Fresh224
Picked011
Done011
Total1366142

Merged error: 0b

Counts
142 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.5b
(/ 1 (/ (/ t y) (- z x)))
6.2b
(/ (/ t y) (- z x))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
cbrt-undiv
flip3-- flip-- add-log-exp
pow1
rec-exp 1-exp
frac-2neg clear-num distribute-lft-out
+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
51.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
17.0ms
(/ 1 (/ (/ t y) (- z x)))
8.0ms
(/ (/ t y) (- z x))

series34.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
12.0ms
(/ 1 (/ (/ t y) (- z x)))
10.0ms
(/ (/ t y) (- z x))

simplify99.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049886973
149886973

prune300.0ms

Filtered
255 candidates to 434 candidates (-70.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4331434
Fresh213
Picked011
Done022
Total4355440

Merged error: 0b

Counts
440 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
6.1b
(* (/ y t) (- z x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 sub-neg add-log-exp
distribute-rgt-in frac-times associate-+r+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
4.0ms
(+ x (* (/ y t) (- z x)))
9.0ms
(* (/ y t) (- z x))

series29.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ x (* (/ y t) (- z x)))
13.0ms
(* (/ y t) (- z x))

simplify32.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
04990583
14990583

prune51.0ms

Filtered
44 candidates to 59 candidates (-34.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New59059
Fresh011
Picked011
Done033
Total59564

Merged error: 0b

Counts
64 → 5

regimes286.0ms

Accuracy

57.3% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03551
13551

end0.0ms

sample535.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid
61.0ms2061×body80invalid

Profiling

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