Details

Time bar (total: 6.0s)

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12817
23717
34117
done4117

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

rewrite34.0ms

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:
3.0ms
(+ 0.99229 (* x 0.04481))
12.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
11.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series25.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ 0.99229 (* x 0.04481))
8.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.1s

Counts
91 → 91
Iterations

Useful iterations: 3 (427.0ms)

IterNodesCost
01721656
14481589
213031477
340721457
done50011457

prune160.0ms

Filtered
69 candidates to 91 candidates (-31.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New88391
Fresh000
Picked101
Done000
Total89392

Merged error: 0b

Counts
92 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
74×add-sqr-sqrt
63×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+ div-inv
6×associate-/l* add-log-exp
5×difference-of-squares
4×cbrt-undiv
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/ distribute-lft-out--
1×distribute-rgt-in sub-neg flip3-- pow-flip distribute-lft-in diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod inv-pow unswap-sqr
Counts
4 → 156
Calls
4 calls:
25.0ms
(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
7.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
5.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify733.0ms

Counts
168 → 168
Iterations

Useful iterations: done (726.0ms)

IterNodesCost
02954317
17364084
224813766
done50003653

prune233.0ms

Filtered
101 candidates to 168 candidates (-66.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1671168
Fresh112
Picked011
Done000
Total1683171

Merged error: 0b

Counts
171 → 3

localize19.0ms

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

rewrite58.0ms

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)))
9.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
14.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))))
19.0ms
(/ (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))) (cbrt (+ 2.30753 (* x 0.27061))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
13.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
16.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))))
5.0ms
(/ (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))) (cbrt (+ 2.30753 (* x 0.27061))))

simplify925.0ms

Counts
234 → 234
Iterations

Useful iterations: done (907.0ms)

IterNodesCost
04719419
111318799
239028290
done50018231

prune880.0ms

Filtered
167 candidates to 234 candidates (-40.1%)
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
(- (* 1.900161040244073 x) 3.0191289436999997)
0.1b
(* x (- (* 1.900161040244073 x) 3.0191289436999997))

rewrite12.0ms

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:
4.0ms
(- (* 1.900161040244073 x) 3.0191289436999997)
7.0ms
(* x (- (* 1.900161040244073 x) 3.0191289436999997))

series10.0ms

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

simplify1.0s

Counts
42 → 42
Iterations

Useful iterations: 4 (407.0ms)

IterNodesCost
060401
1137396
2371360
31041350
42747349
done5000349

prune43.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh000
Picked011
Done022
Total42345

Merged error: 0b

Counts
45 → 3

regimes28.0ms

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

sample520.0ms

Algorithm
intervals
Results
364.0ms8000×body80valid

Profiling

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