Details

Time bar (total: 11.7s)

sample37.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12817
24217
34817
done4817

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

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:
7.0ms
(+ 0.99229 (* x 0.04481))
136.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
22.0ms
(* x (+ 0.99229 (* x 0.04481)))
26.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series332.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ 0.99229 (* x 0.04481))
108.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
89.0ms
(* x (+ 0.99229 (* x 0.04481)))
81.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify3.5s

Counts
91 → 91
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01721656
14361580
213541474
347311456
done50011456

prune365.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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:
14.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
96.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
91.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
99.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
113.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.6s

Counts
176 → 176
Iterations

Useful iterations: 2 (586.0ms)

IterNodesCost
02595241
17104761
224844009
done50014009

prune656.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite993.0ms

Algorithm
rewrite-expression-head
Rules
90×associate-*r/
45×pow1
38×*-un-lft-identity
35×flip3-+ flip-+
31×times-frac
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
13×distribute-rgt-in distribute-lft-in
10×prod-exp cbrt-unprod
9×associate-*l/
7×sum-cubes distribute-lft-out
6×add-log-exp
5×associate-/r*
4×associate-*r* associate--l+ associate-/r/ pow-sqr pow-prod-up associate--r+ sub-div
3×associate-/l*
2×cbrt-undiv pow-plus div-exp *-commutative div-inv associate-/l/ unswap-sqr
1×pow2 sub-neg flip3-- distribute-rgt-out-- frac-2neg diff-log swap-sqr clear-num flip--
Counts
4 → 172
Calls
4 calls:
75.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
50.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
113.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
739.0ms
(* (/ (+ 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)))))))

series405.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
119.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
52.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
190.0ms
(* (/ (+ 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)))))))

simplify805.0ms

Counts
184 → 184
Iterations

Useful iterations: done (794.0ms)

IterNodesCost
03667619
112436386
done50005736

prune915.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid