Details

Time bar (total: 14.1s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
13119
24619
36019
47619
58619
69619
711819
814919
918019
1022419
1133619
1260319
13110819
14179519
15196519
16267719
done500119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×cbrt-undiv frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 95
Calls
4 calls:
32.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
70.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series301.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
94.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify662.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
02062229
15332153
219901973
done50001973

prune250.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

series609.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
121.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
309.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

simplify458.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01802476
14542424
215261596
done50001596

prune301.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

7.9b
(/ (+ (* x 0.27061) 2.30753) (* (cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0)) (cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))))
15.2b
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
15.2b
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
15.2b
(cbrt (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
21.0ms
(/ (+ (* x 0.27061) 2.30753) (* (cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0)) (cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))))
4.0ms
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
4.0ms
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
2.0ms
(cbrt (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

series648.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(/ (+ (* x 0.27061) 2.30753) (* (cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0)) (cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))))
151.0ms
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
140.0ms
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
147.0ms
(cbrt (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

simplify524.0ms

Counts
82 → 82
Iterations

Useful iterations: done (520.0ms)

IterNodesCost
02282909
15882818
217142286
done50002282

prune428.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 1.3436228731669864 (pow x 2)) 1.6316775383) (* 2.134856267379707 x))
0.1b
(* 1.3436228731669864 (pow x 2))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 diff-log unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
2 → 41
Calls
2 calls:
24.0ms
(- (+ (* 1.3436228731669864 (pow x 2)) 1.6316775383) (* 2.134856267379707 x))
6.0ms
(* 1.3436228731669864 (pow x 2))

series54.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- (+ (* 1.3436228731669864 (pow x 2)) 1.6316775383) (* 2.134856267379707 x))
31.0ms
(* 1.3436228731669864 (pow x 2))

simplify2.4s

Counts
47 → 47
Iterations

Useful iterations: 3 (368.0ms)

IterNodesCost
082509
1197479
2728424
33364386
done5000386

prune71.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes16.0ms

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 (0.0ms)

IterNodesCost
01934
12734
done2734

end0.0ms

sample359.0ms

Algorithm
intervals
Results
269.0ms8000×body80valid