Details

Time bar (total: 8.5s)

sample31.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12817
24317
35517
45817
done5817

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))
14.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite93.0ms

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:
11.0ms
(+ 2.30753 (* x 0.27061))
11.0ms
(+ 0.99229 (* x 0.04481))
16.0ms
(* x (+ 0.99229 (* x 0.04481)))
50.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ 2.30753 (* x 0.27061))
43.0ms
(+ 0.99229 (* x 0.04481))
107.0ms
(* x (+ 0.99229 (* x 0.04481)))
88.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.3s

Counts
87 → 87
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01551315
14311273
219211171
done50011169

prune331.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
1.0b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.1b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite132.0ms

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×flip3-+ associate-*l* flip-+ add-log-exp
5×prod-exp
4×div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num sum-log un-div-inv inv-pow
Counts
4 → 108
Calls
4 calls:
6.0ms
(+ 0.99229 (* x 0.04481))
27.0ms
(* x (+ 0.99229 (* x 0.04481)))
28.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
68.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series329.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ 0.99229 (* x 0.04481))
112.0ms
(* x (+ 0.99229 (* x 0.04481)))
72.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
83.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify2.4s

Counts
120 → 120
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02052022
15971893
231671652
done50011650

prune427.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (+ (* x 0.27061) 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (sqrt 1) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.2b
(/ (sqrt 1) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
14.3b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.3b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
142×add-sqr-sqrt
122×times-frac
121×sqrt-prod
78×*-un-lft-identity
72×add-cube-cbrt
42×associate-*r*
24×associate-*l*
21×unswap-sqr
18×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1
6×associate-/r* associate-/r/ associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×prod-exp cbrt-unprod add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times sqrt-undiv frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 200
Calls
4 calls:
144.0ms
(* (/ (+ (* x 0.27061) 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (sqrt 1) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
25.0ms
(/ (sqrt 1) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
10.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series468.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (/ (+ (* x 0.27061) 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (sqrt 1) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
155.0ms
(/ (sqrt 1) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
129.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
103.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify571.0ms

Counts
212 → 212
Iterations

Useful iterations: done (557.0ms)

IterNodesCost
02796851
18075984
done50015488

prune885.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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
01619
12519
done2519

end0.0ms

sample834.0ms

Algorithm
intervals
Results
634.0ms8000×body80valid