Details

Time bar (total: 15.3s)

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
13.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite127.0ms

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:
11.0ms
(+ 0.99229 (* x 0.04481))
46.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
40.0ms
(* (+ 0.99229 (* x 0.04481)) x)
25.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series410.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ 0.99229 (* x 0.04481))
131.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
124.0ms
(* (+ 0.99229 (* x 0.04481)) x)
113.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify3.0s

Counts
89 → 89
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01701668
14171584
213031472
339951468
done50001468

prune336.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.2b
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
13.4b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.4b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 164
Calls
4 calls:
12.0ms
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
77.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
5.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
6.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series457.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
76.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
110.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
106.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.7s

Counts
176 → 176
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02595241
17044761
224094009
done50003978

prune726.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
1.9b
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
11.4b
(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
26.7b
(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
69×associate-*l/
45×pow1
38×*-un-lft-identity
35×flip3-+ flip-+
31×times-frac
30×associate-*r/
29×add-sqr-sqrt
24×add-cube-cbrt
23×add-exp-log add-cbrt-cube
22×associate-*l*
18×pow-prod-down
16×frac-sub
14×frac-times
10×prod-exp cbrt-unprod
7×sum-cubes distribute-lft-out
6×add-log-exp
5×associate-/r*
4×associate-*r* associate-/r/ pow-sqr pow-prod-up sub-div
3×associate-/l*
2×cbrt-undiv pow-plus div-exp *-commutative div-inv associate-/l/ unswap-sqr
1×pow2 distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in diff-log swap-sqr clear-num flip--
Counts
4 → 160
Calls
4 calls:
65.0ms
(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
89.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
101.0ms
(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
732.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
122.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
51.0ms
(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
164.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

simplify690.0ms

Counts
172 → 172
Iterations

Useful iterations: done (678.0ms)

IterNodesCost
03437347
111706146
done50015504

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01831
12731
done2731

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid