Details

Time bar (total: 10.5s)

sample24.0ms

Algorithm
intervals
Results
9.0ms348×body80valid

simplify627.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1169
2329
3659
41389
52139
62679
72879
83419
94399
104469
done4469

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
4.0ms
(- x (/ (* y (- z t)) a))
10.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series149.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- x (/ (* y (- z t)) a))
38.0ms
(* y (- z t))
56.0ms
(/ (* y (- z t)) a)

simplify1.8s

Counts
72 → 72
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0120760
1291717
2853639
33825627
done5000624

prune187.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (- z t) (/ a y)))
6.3b
(/ (- z t) (/ a y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
95×add-sqr-sqrt
88×*-un-lft-identity
58×add-cube-cbrt
17×difference-of-squares
15×distribute-lft-out--
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 flip3-- div-sub flip-- associate-/l/
1×sub-neg frac-2neg diff-log clear-num associate-/r/ associate--r-
Counts
2 → 118
Calls
2 calls:
28.0ms
(- x (/ (- z t) (/ a y)))
11.0ms
(/ (- z t) (/ a y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- x (/ (- z t) (/ a y)))
51.0ms
(/ (- z t) (/ a y))

simplify843.0ms

Counts
124 → 124
Iterations

Useful iterations: done (838.0ms)

IterNodesCost
02271984
16111846
218191774
done50011768

prune359.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

5.4b
(cbrt (/ (- z t) (/ a y)))
6.3b
(/ (- z t) (/ a y))
6.3b
(/ (- z t) (/ a y))
6.3b
(/ (- z t) (/ a y))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
467×times-frac
331×add-sqr-sqrt *-un-lft-identity
221×add-cube-cbrt
70×cbrt-prod
55×distribute-lft-out-- difference-of-squares
39×associate-/r*
27×div-inv
19×add-exp-log add-cbrt-cube
15×associate-/l*
9×cbrt-undiv div-exp
6×associate-/l/
4×pow1 associate-/r/ add-log-exp
3×flip3-- frac-2neg div-sub clear-num flip--
1×cbrt-div pow1/3
Counts
4 → 382
Calls
4 calls:
7.0ms
(cbrt (/ (- z t) (/ a y)))
11.0ms
(/ (- z t) (/ a y))
15.0ms
(/ (- z t) (/ a y))
12.0ms
(/ (- z t) (/ a y))

series306.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (/ (- z t) (/ a y)))
51.0ms
(/ (- z t) (/ a y))
46.0ms
(/ (- z t) (/ a y))
55.0ms
(/ (- z t) (/ a y))

simplify851.0ms

Counts
394 → 394
Iterations

Useful iterations: done (837.0ms)

IterNodesCost
03516638
17626201
220865975
done50005974

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

5.4b
(cbrt (/ (- z t) (/ a y)))
6.3b
(/ (- z t) (/ a y))
6.3b
(/ (- z t) (/ a y))
10.5b
(cbrt (/ a y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
357×times-frac
254×add-sqr-sqrt *-un-lft-identity
172×add-cube-cbrt
83×cbrt-prod
41×distribute-lft-out-- difference-of-squares
26×associate-/r*
21×div-inv
14×add-exp-log add-cbrt-cube
10×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-/l/ add-log-exp
3×associate-/r/
2×cbrt-div flip3-- frac-2neg pow1/3 div-sub clear-num flip--
Counts
4 → 303
Calls
4 calls:
7.0ms
(cbrt (/ (- z t) (/ a y)))
10.0ms
(/ (- z t) (/ a y))
11.0ms
(/ (- z t) (/ a y))
2.0ms
(cbrt (/ a y))

series334.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (/ (- z t) (/ a y)))
53.0ms
(/ (- z t) (/ a y))
46.0ms
(/ (- z t) (/ a y))
77.0ms
(cbrt (/ a y))

simplify855.0ms

Counts
315 → 315
Iterations

Useful iterations: done (834.0ms)

IterNodesCost
03835215
18054882
221734703
done50004702

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes266.0ms

Accuracy

77.1% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.0b

bsearch76.0ms

Steps
ItersRangePoint
6
3.934266884602297e+28
2.619816065745984e+29
4.319829970534346e+28
7
-1.8985754831455064e-66
-5.754632274452905e-68
-1.875169924565739e-66

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02439
12739
done2739

end0.0ms

sample625.0ms

Algorithm
intervals
Results
307.0ms10761×body80valid