Details

Time bar (total: 11.4s)

sample30.0ms

Algorithm
intervals
Results
11.0ms333×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2259
3449
4749
51029
61209
71409
81819
92579
103439
113809
124319
134669
145029
155929
168269
1711109
1816589
1921479
2022089
done22089

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
6.7b
(/ (* y (- z x)) t)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
5.0ms
(+ x (/ (* y (- z x)) t))
9.0ms
(/ (* y (- z x)) t)

series24.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (/ (* y (- z x)) t))
13.0ms
(/ (* y (- z x)) t)

simplify2.0s

Counts
41 → 41
Iterations

Useful iterations: done (2.0s)

IterNodesCost
084505
1232473
2683427
33035403
done5001402

prune65.0ms

Filtered
31 candidates to 41 candidates (-32.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New36541
Fresh000
Picked101
Done000
Total37542

Merged error: 0.0b

Counts
42 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
8.1b
(* (/ y t) (- z x))

rewrite19.0ms

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 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
frac-times flip3-- 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 → 57
Calls
2 calls:
4.0ms
(+ x (* (/ y t) (- z x)))
12.0ms
(* (/ y t) (- z x))

series25.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (/ y t) (- z x)))
14.0ms
(* (/ y t) (- z x))

simplify2.1s

Counts
63 → 63
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
0120723
1314691
21036619
34164619
done5001619

prune62.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done000
Total63568

Merged error: 0.0b

Counts
68 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out-- difference-of-squares unswap-sqr
add-log-exp
pow1/3
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
20.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt t)
23.0ms
(cbrt t)
27.0ms
(cbrt t)
19.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify859.0ms

Counts
116 → 116
Iterations

Useful iterations: done (856.0ms)

IterNodesCost
01701622
15001541
220191287
done50001283

prune118.0ms

Filtered
87 candidates to 116 candidates (-33.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh033
Picked011
Done011
Total1165121

Merged error: 0.0b

Counts
121 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y (- z x)) (/ 1 t)))
6.8b
(* (* y (- z x)) (/ 1 t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×add-cbrt-cube
13×associate-*r*
12×prod-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
pow1
cbrt-unprod
associate-*r/
div-exp add-log-exp
pow-prod-down
cbrt-undiv frac-times rec-exp flip3-- 1-exp associate-*l/ flip--
+-commutative flip3-+ associate-*l* sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 53
Calls
2 calls:
3.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
11.0ms
(* (* y (- z x)) (/ 1 t))

series27.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
13.0ms
(* (* y (- z x)) (/ 1 t))

simplify1.2s

Counts
59 → 59
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0127845
1375671
21180579
done5000567

prune46.0ms

Filtered
35 candidates to 59 candidates (-68.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done022
Total59564

Merged error: 0.0b

Counts
64 → 5

regimes255.0ms

Accuracy

3.8% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.1b

bsearch34.0ms

Steps
ItersRangePoint
9
7.733265105987407e+73
9.567742705358153e+81
1.0257546714201698e+74
5
-2.5004030332854447e+107
-7.337286808195076e+106
-1.3783698027227025e+107

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02237
13137
done3137

end0.0ms

sample866.0ms

Algorithm
intervals
Results
340.0ms10696×body80valid

Profiling

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