Details

Time bar (total: 4.7s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12817
23717
34117
done4117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (+ 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)))
15.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite56.0ms

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×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ 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 → 81
Calls
4 calls:
2.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
35.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
83.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify598.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
01731756
14491670
217381556
done50001556

prune214.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.3b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite40.0ms

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-/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×distribute-rgt-in sub-neg flip3-- pow-flip frac-2neg distribute-lft-in diff-log clear-num un-div-inv flip-- inv-pow
Counts
4 → 109
Calls
4 calls:
8.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
63.0ms
(* x (+ 0.99229 (* x 0.04481)))
41.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
59.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify1.2s

Counts
121 → 121
Iterations

Useful iterations: 2 (194.0ms)

IterNodesCost
02182304
15962086
224071860
done50011860

prune242.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 2.30753 (* x 0.27061)) (log (exp (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
0.5b
(log (exp (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
32×log-pow
30×exp-prod
27×times-frac
22×associate-*r*
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×log-prod
6×associate-*l* associate-/r/
5×flip3-+ flip-+
4×distribute-rgt-in distribute-lft-in add-log-exp
3×associate-/r* div-inv associate-/l*
2×associate-*r/ div-exp pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp rem-log-exp clear-num inv-pow
Counts
4 → 124
Calls
4 calls:
41.0ms
(* (+ 2.30753 (* x 0.27061)) (log (exp (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))
9.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
9.0ms
(log (exp (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (+ 2.30753 (* x 0.27061)) (log (exp (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))))
63.0ms
(* x (+ 0.99229 (* x 0.04481)))
38.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
42.0ms
(log (exp (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

simplify847.0ms

Counts
136 → 136
Iterations

Useful iterations: done (843.0ms)

IterNodesCost
02382512
15822262
222622020
done50002014

prune339.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619
12519
done2519

end0.0ms

sample344.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid