Details

Time bar (total: 5.4s)

sample33.0ms

Algorithm
intervals
Results
11.0ms333×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2259
3459
4779
51149
61329
71569
82399
93359
104729
116639
128569
1311109
1413339
1515479
1621799
1727149
1837719
1948429
done50009

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)

rewrite14.0ms

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))
8.0ms
(/ (* y (- z x)) t)

series25.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ x (/ (* y (- z x)) t))
13.0ms
(/ (* y (- z x)) t)

simplify828.0ms

Counts
41 → 41
Iterations

Useful iterations: done (827.0ms)

IterNodesCost
084505
1238473
2744427
33394403
done5001402

prune68.0ms

Filtered
29 candidates to 41 candidates (-41.4%)
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 (* (- z x) (/ y t)))
8.1b
(* (- z x) (/ y t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*l*
pow1 add-log-exp
frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- z x) (/ y t)))
10.0ms
(* (- z x) (/ y t))

series28.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ x (* (- z x) (/ y t)))
16.0ms
(* (- z x) (/ y t))

simplify417.0ms

Counts
55 → 55
Iterations

Useful iterations: done (415.0ms)

IterNodesCost
0115669
1298627
21098581
done5002557

prune63.0ms

Filtered
39 candidates to 55 candidates (-41.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done000
Total55560

Merged error: 0.0b

Counts
60 → 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)))

rewrite33.0ms

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)
24.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series97.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt t)
24.0ms
(cbrt t)
24.0ms
(cbrt t)
20.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify510.0ms

Counts
116 → 116
Iterations

Useful iterations: done (507.0ms)

IterNodesCost
01701622
15031551
221541287
done50011283

prune123.0ms

Filtered
88 candidates to 116 candidates (-31.8%)
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))

rewrite17.0ms

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))

series28.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
13.0ms
(* (* y (- z x)) (/ 1 t))

simplify493.0ms

Counts
59 → 59
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
0127845
1380689
21468579
done5001579

prune47.0ms

Filtered
38 candidates to 59 candidates (-55.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done022
Total59564

Merged error: 0.0b

Counts
64 → 5

regimes268.0ms

Accuracy

3.8% (2.0b remaining)

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

bsearch36.0ms

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

sample915.0ms

Algorithm
intervals
Results
367.0ms10696×body80valid

Profiling

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