Details

Time bar (total: 3.4s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0288
1428
2508
3508
done508

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite59.0ms

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:
6.0ms
(+ 2.30753 (* x 0.27061))
6.0ms
(+ 0.99229 (* x 0.04481))
20.0ms
(* x (+ 0.99229 (* x 0.04481)))
25.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 2.30753 (* x 0.27061))
40.0ms
(+ 0.99229 (* x 0.04481))
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Counts
87 → 87
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0401622
11709574
25001574
done5001574

prune200.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

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)))
14.4b
(/ (+ 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)))))))

rewrite40.0ms

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:
3.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
3.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
3.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
29.0ms
(/ (+ 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)))))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
120.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
121.0ms
(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)))))))

simplify50.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04461361
116161262
250021188
done50021188

prune309.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* x (+ 0.99229 (* x 0.04481))) 3)
0.6b
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
12.2b
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
25.6b
(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3))) (+ (* 1.0 1.0) (- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

rewrite603.0ms

Algorithm
rewrite-expression-head
Rules
78×associate-*r/
39×*-un-lft-identity
31×times-frac
30×add-sqr-sqrt flip3-+ flip-+
25×add-cube-cbrt
21×associate-*l*
16×frac-sub
14×add-exp-log add-cbrt-cube
10×frac-times
9×pow1 distribute-rgt-in distribute-lft-in
7×associate-*l/ sum-cubes distribute-lft-out
6×add-log-exp
5×associate-/r*
4×associate--l+ associate-/r/ associate--r+ sub-div
3×pow-unpow associate-*r* prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv cube-div pow-pow div-exp pow-prod-down pow-exp div-inv associate-/l/ rem-cube-cbrt unswap-sqr
1×cube-mult pow-to-exp sub-neg unpow-prod-down flip3-- distribute-rgt-out-- frac-2neg diff-log unpow3 cube-prod clear-num *-commutative flip-- sqr-pow
Counts
4 → 150
Calls
4 calls:
9.0ms
(pow (* x (+ 0.99229 (* x 0.04481))) 3)
48.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
65.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
474.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3))) (+ (* 1.0 1.0) (- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(pow (* x (+ 0.99229 (* x 0.04481))) 3)
84.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
40.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
142.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3))) (+ (* 1.0 1.0) (- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

simplify61.0ms

Counts
162 → 162
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012373182
150022831
done50022831

prune590.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02417
12417
done2417

end0.0ms

sample391.0ms

Algorithm
intervals
Results
265.0ms8000×body80valid