Details

Time bar (total: 13.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms359×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2259
3449
4749
51069
61249
71449
81859
92619
103479
113869
124379
134849
145209
156359
168659
1711859
1817719
1923619
2024189
done24189

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.8b
(/ (* y (- z x)) t)

rewrite26.0ms

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 distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg 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 → 61
Calls
3 calls:
4.0ms
(+ x (/ (* y (- z x)) t))
9.0ms
(* y (- z x))
10.0ms
(/ (* y (- z x)) t)

series122.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (/ (* y (- z x)) t))
39.0ms
(* y (- z x))
47.0ms
(/ (* y (- z x)) t)

simplify1.8s

Counts
70 → 70
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0113722
1290679
2855589
33891589
done5000588

prune148.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
5.5b
(/ y (/ t (- z x)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip-- add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
30.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
9.0ms
(/ y (/ t (- z x)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ y (/ t (- z x))))
28.0ms
(/ t (- z x))
56.0ms
(/ y (/ t (- z x)))

simplify1.0s

Counts
160 → 160
Iterations

Useful iterations: 2 (207.0ms)

IterNodesCost
02422291
15402136
217902056
done50002056

prune366.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
8.5b
(* (/ y t) (- z x))

rewrite20.0ms

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:
3.0ms
(+ x (* (/ y t) (- z x)))
15.0ms
(* (/ y t) (- z x))

series88.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (/ y t) (- z x)))
54.0ms
(* (/ y t) (- z x))

simplify2.2s

Counts
63 → 63
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
0120723
1314691
21037619
34165619
done5000619

prune130.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.3b
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) (- z x)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
603×times-frac
313×add-sqr-sqrt *-un-lft-identity
217×add-cube-cbrt
129×cbrt-prod
48×distribute-lft-out-- difference-of-squares
46×div-inv
36×associate-/r*
25×add-exp-log
18×add-cbrt-cube
17×associate-/r/
13×cbrt-undiv div-exp
flip3-- flip--
associate-/l*
pow1 add-log-exp
pow1/3
prod-exp cbrt-unprod
frac-2neg clear-num associate-/l/
Counts
4 → 352
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(cbrt t)
20.0ms
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) (- z x)))

series620.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
171.0ms
(cbrt t)
171.0ms
(cbrt t)
98.0ms
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) (- z x)))

simplify773.0ms

Counts
364 → 364
Iterations

Useful iterations: done (756.0ms)

IterNodesCost
05369091
115098700
done50018554

prune939.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

54.1% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02555
13353
done3353

end0.0ms

sample517.0ms

Algorithm
intervals
Results
264.0ms10838×body80valid