Details

Time bar (total: 12.3s)

sample28.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify59.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 79
Calls
4 calls:
76.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
12.0ms
(+ 2.30753 (* x 0.27061))
22.0ms
(* x (+ 0.99229 (* x 0.04481)))
27.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
50.0ms
(+ 2.30753 (* x 0.27061))
93.0ms
(* x (+ 0.99229 (* x 0.04481)))
76.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify4.1s

Counts
91 → 91
Iterations

Useful iterations: 3 (2.4s)

IterNodesCost
01721656
14401580
213801474
349111456
done50001456

prune341.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

7.3b
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
13.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
16×add-exp-log
15×flip3-+ flip-+
9×cbrt-prod
8×frac-times associate-/r/ add-cbrt-cube associate-/l/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
45.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
187.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
163.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
181.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.4s

Counts
88 → 88
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02143117
16062961
218192637
done50002390

prune618.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

13.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series826.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
230.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
196.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
199.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.8s

Counts
64 → 64
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0921712
12351644
27221552
327421364
done50011292

prune545.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12017
done2017

end0.0ms

sample937.0ms

Algorithm
intervals
Results
725.0ms8000×body80valid