Details

Time bar (total: 13.5s)

sample53.0ms

Algorithm
intervals
Results
22.0ms323×body80valid

simplify598.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41379
51879
62319
72499
82999
93259
103319
done3319

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.9b
(/ (* y (- z t)) a)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
10.0ms
(- x (/ (* y (- z t)) a))
26.0ms
(* y (- z t))
22.0ms
(/ (* y (- z t)) a)

series181.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- x (/ (* y (- z t)) a))
43.0ms
(* y (- z t))
77.0ms
(/ (* y (- z t)) a)

simplify2.4s

Counts
72 → 72
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0120760
1291717
2874639
34258627
done5000627

prune267.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
4.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite90.0ms

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
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
80.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series916.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt a)
240.0ms
(cbrt a)
301.0ms
(cbrt a)
137.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.3s

Counts
116 → 116
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune340.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.7b
(/ y (/ a (- z t)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
39.0ms
(- x (/ y (/ a (- z t))))
17.0ms
(/ a (- z t))
18.0ms
(/ y (/ a (- z t)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- x (/ y (/ a (- z t))))
41.0ms
(/ a (- z t))
67.0ms
(/ y (/ a (- z t)))

simplify1.2s

Counts
164 → 164
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02532379
15382224
217842144
done50002120

prune500.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- z t)))
5.2b
(* (/ y a) (- z t))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×sub-neg associate-*r*
4×pow1 distribute-rgt-in distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times associate-*r/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
9.0ms
(- x (* (/ y a) (- z t)))
33.0ms
(* (/ y a) (- z t))

series166.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(- x (* (/ y a) (- z t)))
90.0ms
(* (/ y a) (- z t))

simplify2.9s

Counts
64 → 64
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0124739
1315707
21005647
33885633
done5000633

prune195.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes422.0ms

Accuracy

78.2% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
01843
12335
done2335

end0.0ms

sample1.5s

Algorithm
intervals
Results
476.0ms10654×body80valid