Details

Time bar (total: 7.0s)

sample21.0ms

Algorithm
intervals
Results
10.0ms276×body80valid

simplify114.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3819
41259
51659
61969
72099
done2099

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.6b
(/ (* x 2.0) (* z (- y t)))

rewrite21.0ms

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:
10.0ms
(* z (- y t))
7.0ms
(/ (* x 2.0) (* z (- y t)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* z (- y t))
44.0ms
(/ (* x 2.0) (* z (- y t)))

simplify453.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
093556
1253543
21306427
done5001427

prune119.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.9b
(/ 1 (* z (- y t)))
4.2b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite60.0ms

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:
12.0ms
(* z (- y t))
9.0ms
(/ 1 (* z (- y t)))
34.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series109.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* z (- y t))
27.0ms
(/ 1 (* z (- y t)))
48.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify833.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01391165
13871018
21629798
done5000798

prune160.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (- y t))
4.2b
(* (* x 2.0) (/ (/ 1 z) (- y t)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
161×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
71×associate-*r*
46×add-exp-log
28×add-cbrt-cube
27×distribute-lft-out-- difference-of-squares
18×div-exp
15×prod-exp
13×div-inv associate-/l*
9×cbrt-undiv cbrt-unprod
7×pow1
5×associate-/r*
4×associate-/r/
3×rec-exp 1-exp pow-prod-down
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 201
Calls
2 calls:
10.0ms
(/ (/ 1 z) (- y t))
33.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (/ 1 z) (- y t))
46.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

simplify2.2s

Counts
207 → 207
Iterations

Useful iterations: 2 (324.0ms)

IterNodesCost
02753153
18642735
234342372
done50002372

prune344.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
2.9b
(* (* (* 2.0 x) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (/ (cbrt (/ 1 z)) (- y t)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
114×add-sqr-sqrt *-un-lft-identity
104×cbrt-prod
86×associate-*r*
82×add-cube-cbrt
45×add-exp-log
32×add-cbrt-cube
26×prod-exp cbrt-unprod
22×pow1
16×distribute-lft-out-- difference-of-squares
13×pow-prod-down
11×cbrt-div
9×associate-*r/ div-inv
5×cbrt-undiv frac-times div-exp associate-*l/
4×add-log-exp
3×pow1/3
2×associate-/r/
1×flip3-- associate-*l* *-commutative flip--
Counts
4 → 193
Calls
4 calls:
2.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ 1 z))
115.0ms
(* (* (* 2.0 x) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (/ (cbrt (/ 1 z)) (- y t)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (/ 1 z))
167.0ms
(cbrt (/ 1 z))
163.0ms
(cbrt (/ 1 z))
72.0ms
(* (* (* 2.0 x) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (/ (cbrt (/ 1 z)) (- y t)))

simplify340.0ms

Counts
205 → 205
Iterations

Useful iterations: done (335.0ms)

IterNodesCost
02884136
18643839
done50012902

prune460.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes317.0ms

Accuracy

95.3% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.0b

bsearch1.0ms

simplify18.0ms

Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
02589
13181
23471
34063
44662
55562
66262
76562
86662
done6662

end0.0ms

sample486.0ms

Algorithm
intervals
Results
266.0ms8737×body80valid