Details

Time bar (total: 6.6s)

sample22.0ms

Algorithm
intervals
Results
10.0ms280×body80valid

simplify163.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51739
61989
72049
done2049

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.1b
(/ (* x 2.0) (* z (- y t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
19.0ms
(* z (- y t))
18.0ms
(/ (* x 2.0) (* z (- y t)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* z (- y t))
50.0ms
(/ (* x 2.0) (* z (- y t)))

simplify653.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
093556
1243543
21070427
done5000427

prune104.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.4b
(/ 1 (/ (* z (- y t)) (* x 2.0)))
6.0b
(/ (* z (- y t)) (* x 2.0))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
35×add-cbrt-cube
26×div-exp
20×times-frac
19×add-sqr-sqrt
17×*-un-lft-identity prod-exp
15×add-cube-cbrt
13×cbrt-undiv
9×cbrt-unprod
6×pow1 associate-/r* div-inv
5×rec-exp 1-exp associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-flip pow-prod-down associate-/r/ *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 105
Calls
3 calls:
22.0ms
(* z (- y t))
24.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
19.0ms
(/ (* z (- y t)) (* x 2.0))

series208.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* z (- y t))
101.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
71.0ms
(/ (* z (- y t)) (* x 2.0))

simplify678.0ms

Counts
114 → 114
Iterations

Useful iterations: done (675.0ms)

IterNodesCost
01691556
14261408
216431132
done50011120

prune155.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.5b
(/ 1 (* z (- y t)))
6.0b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
14×associate-*r*
13×pow1 add-sqr-sqrt cbrt-unprod
12×div-exp
11×*-un-lft-identity
9×add-cube-cbrt
7×associate-*r/
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv
1×frac-2neg clear-num associate-/r* un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 98
Calls
3 calls:
20.0ms
(* z (- y t))
21.0ms
(/ 1 (* z (- y t)))
56.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* z (- y t))
28.0ms
(/ 1 (* z (- y t)))
51.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify2.0s

Counts
107 → 107
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
01391165
13401006
21180798
done5001798

prune153.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.1b
(/ (/ (* x 2.0) z) (- y t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
37×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×div-inv associate-/l*
5×cbrt-undiv div-exp associate-/r*
2×associate-/r/
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 66
Calls
1 calls:
21.0ms
(/ (/ (* x 2.0) z) (- y t))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify902.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
01451073
13681025
21163951
done5001951

prune128.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes235.0ms

Accuracy

35.9% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 4.6b

bsearch67.0ms

Steps
ItersRangePoint
8
8.474771072676942e+81
2.858167048617583e+86
8.697575599925425e+81
9
-1.5363030971934703e+144
-2.4882870722039588e+138
-5.646136584525686e+138

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01735
12227
done2227

end0.0ms

sample526.0ms

Algorithm
intervals
Results
239.0ms8734×body80valid