Details

Time bar (total: 17.3s)

sample38.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12217
23317
35617
46617
57217
69417
712217
815317
917717
1021117
1122317
1223317
1324817
1426417
1535117
1644217
1761617
1881317
1989817
2094017
2196217
2298017
2399217
done99217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

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-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg 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 → 77
Calls
4 calls:
6.0ms
(+ 2.30753 (* x 0.27061))
33.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
31.0ms
(* (+ 0.99229 (* x 0.04481)) x)
32.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ 2.30753 (* x 0.27061))
140.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
111.0ms
(* (+ 0.99229 (* x 0.04481)) x)
75.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify3.6s

Counts
89 → 89
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
01691668
14211584
213321472
341561468
done50001468

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
0.4b
(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.5b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite88.0ms

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×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×div-exp associate-*l/ associate-/r/ unswap-sqr
3×associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down *-commutative div-inv
1×sub-neg flip3-- pow-flip frac-2neg diff-log associate-*r/ clear-num un-div-inv flip-- inv-pow
Counts
4 → 107
Calls
4 calls:
8.0ms
(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
22.0ms
(* (+ 0.99229 (* x 0.04481)) x)
10.0ms
(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
41.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
108.0ms
(* (+ 0.99229 (* x 0.04481)) x)
56.0ms
(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
64.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify1.5s

Counts
119 → 119
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02152320
15582062
218651858
done50011852

prune372.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)
0.2b
(/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))
10.1b
(cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)))
12.5b
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
100×add-sqr-sqrt
93×cbrt-prod
82×*-un-lft-identity
78×add-cube-cbrt
45×associate-*r*
35×unpow-prod-down cube-prod
16×add-exp-log
13×sqr-pow
12×associate-/r*
11×cube-mult unpow3
10×unswap-sqr
8×cube-div add-cbrt-cube
7×pow1
6×flip3-+ div-exp associate-/r/ flip-+
4×pow-to-exp cbrt-div pow-exp add-log-exp
3×rec-exp pow-unpow 1-exp associate-*l* div-inv associate-/l*
2×frac-times associate-*l/
1×cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow rem-cube-cbrt
Counts
4 → 225
Calls
4 calls:
14.0ms
(pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)
37.0ms
(/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))
15.0ms
(cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)))
117.0ms
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)
86.0ms
(/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))
69.0ms
(cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)))
101.0ms
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))))

simplify1.8s

Counts
237 → 237
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03265955
16775202
220254628
done50004622

prune683.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

12.8b
(/ (- (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (+ x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
43×times-frac
38×add-sqr-sqrt add-cube-cbrt
13×associate-/r* associate-/l*
12×add-exp-log add-cbrt-cube
8×associate-/r/ associate-/l/
7×flip3-+ flip-+
5×distribute-lft-out difference-of-squares
4×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
1×flip3-- div-sub flip--
Counts
4 → 134
Calls
4 calls:
97.0ms
(/ (- (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (+ x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
41.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
37.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
31.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series485.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(/ (- (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (+ x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
80.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
69.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
79.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.4s

Counts
146 → 146
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01745682
14515428
215015066
done50004606

prune602.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01922
12822
done2822

end0.0ms

sample784.0ms

Algorithm
intervals
Results
596.0ms8000×body80valid