Details

Time bar (total: 8.9s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12217
23317
34817
45817
56417
68617
711617
814417
916717
1021617
1129817
1234717
1339417
1449917
1574817
16153117
17335817
done500017

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite27.0ms

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:
9.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms
(+ 0.99229 (* x 0.04481))
6.0ms
(* (+ 0.99229 (* x 0.04481)) x)
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
4.0ms
(+ 0.99229 (* x 0.04481))
15.0ms
(* (+ 0.99229 (* x 0.04481)) x)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: 3 (470.0ms)

IterNodesCost
01701668
14211585
213501475
345251468
done50001468

prune154.0ms

Filtered
70 candidates to 89 candidates (-27.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86389
Fresh000
Picked101
Done000
Total87390

Merged error: 0b

Counts
90 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
0.1b
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
14.8b
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt
58×add-cube-cbrt *-un-lft-identity
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×flip3-+ div-exp flip-+
7×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp associate-*l/ clear-num associate-/l/
1×+-commutative pow-flip pow-prod-down prod-exp sum-log *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 146
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
6.0ms
(* (+ 0.99229 (* x 0.04481)) x)
9.0ms
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
7.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ 0.99229 (* x 0.04481))
7.0ms
(* (+ 0.99229 (* x 0.04481)) x)
5.0ms
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
5.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

simplify704.0ms

Counts
158 → 158
Iterations

Useful iterations: done (699.0ms)

IterNodesCost
02703763
16633564
223613270
done50003184

prune220.0ms

Filtered
93 candidates to 158 candidates (-69.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1571158
Fresh112
Picked011
Done000
Total1583161

Merged error: 0b

Counts
161 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 2.30753 (* x 0.27061)))
0.7b
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
6.8b
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))))
8.4b
(/ (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))) (cbrt (+ 2.30753 (* x 0.27061))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
112×cbrt-div
69×add-sqr-sqrt
67×cbrt-prod
66×associate-/r/
61×add-cube-cbrt *-un-lft-identity
57×flip3-+ flip-+
36×frac-times
20×add-exp-log
18×associate-*r/ associate-*l/ associate-/l*
11×pow1 add-cbrt-cube
9×div-inv
7×cbrt-undiv pow1/3 div-exp associate-/r*
6×swap-sqr associate-*r* associate-*l*
4×add-log-exp unswap-sqr
3×prod-exp cbrt-unprod associate-/l/
2×frac-2neg pow-prod-down clear-num pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative
Counts
4 → 222
Calls
4 calls:
3.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
16.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
13.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))))
18.0ms
(/ (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))) (cbrt (+ 2.30753 (* x 0.27061))))

series36.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
9.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
14.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))))
5.0ms
(/ (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))) (cbrt (+ 2.30753 (* x 0.27061))))

simplify890.0ms

Counts
234 → 234
Iterations

Useful iterations: done (878.0ms)

IterNodesCost
04719419
111258799
238608290
done50018231

prune893.0ms

Filtered
171 candidates to 234 candidates (-36.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2340234
Fresh011
Picked011
Done011
Total2343237

Merged error: 0b

Counts
237 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 3.0191289436999997 (* 1.900161040244073 x))
0.1b
(* x (- 3.0191289436999997 (* 1.900161040244073 x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- 3.0191289436999997 (* 1.900161040244073 x))
6.0ms
(* x (- 3.0191289436999997 (* 1.900161040244073 x)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 3.0191289436999997 (* 1.900161040244073 x))
6.0ms
(* x (- 3.0191289436999997 (* 1.900161040244073 x)))

simplify1.2s

Counts
42 → 42
Iterations

Useful iterations: 4 (526.0ms)

IterNodesCost
059405
1143398
2403362
31199354
43523353
done5000353

prune42.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh000
Picked011
Done022
Total42345

Merged error: 0b

Counts
45 → 3

regimes30.0ms

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
12419
done2419

end0.0ms

sample510.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid

Profiling

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