Details

Time bar (total: 14.0s)

sample40.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12817
24217
34817
done4817

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
13.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
10.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(+ 2.30753 (* x 0.27061))
26.0ms
(* x (+ 0.99229 (* x 0.04481)))
46.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ 0.99229 (* x 0.04481))
64.0ms
(+ 2.30753 (* x 0.27061))
131.0ms
(* x (+ 0.99229 (* x 0.04481)))
85.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify4.1s

Counts
87 → 87
Iterations

Useful iterations: 3 (2.4s)

IterNodesCost
01551315
14001267
213021163
346651161
done50011161

prune311.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.3b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.9b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
6×flip3-+ associate-*l* flip-+ add-log-exp
5×prod-exp
4×div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num sum-log un-div-inv inv-pow
Counts
4 → 108
Calls
4 calls:
6.0ms
(+ 2.30753 (* x 0.27061))
16.0ms
(* x (+ 0.99229 (* x 0.04481)))
11.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
43.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series307.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ 2.30753 (* x 0.27061))
109.0ms
(* x (+ 0.99229 (* x 0.04481)))
60.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
90.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify1.4s

Counts
120 → 120
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02022022
15301840
217761644
done50001640

prune394.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

12.9b
(* (+ 2.30753 (* x 0.27061)) (* (* (cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))
13.2b
(cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
13.2b
(cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
13.2b
(cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
39×cbrt-div
29×frac-times
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-*l/
16×associate-*r/
13×pow1 add-exp-log
11×flip3-+ flip-+
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l* div-inv
1×associate-*r* *-commutative
Counts
4 → 116
Calls
4 calls:
334.0ms
(* (+ 2.30753 (* x 0.27061)) (* (* (cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))
9.0ms
(cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
10.0ms
(cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
10.0ms
(cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series866.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (+ 2.30753 (* x 0.27061)) (* (* (cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))
254.0ms
(cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
242.0ms
(cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
282.0ms
(cbrt (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify1.4s

Counts
128 → 128
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02364629
15964346
217743463
done50003205

prune489.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

13.2b
(/ (+ 2.30753 (* x 0.27061)) (* (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
13.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
31×flip3-+ flip-+
28×frac-times
26×associate-/r/
14×associate-*l/
13×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×associate-*r/
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp cbrt-unprod associate-/l*
2×associate-/l/
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 90
Calls
4 calls:
116.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
4.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
4.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series770.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
239.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
211.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
214.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.3s

Counts
102 → 102
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02263950
15823861
217393108
done50002873

prune515.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
12519
done2519

end0.0ms

sample795.0ms

Algorithm
intervals
Results
608.0ms8000×body80valid