Details

Time bar (total: 11.8s)

sample41.0ms

Algorithm
intervals
Results
20.0ms286×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211537
324237
460337
5159537
6333837
done500037

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
5.0b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.3b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
36.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
11.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
52.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
47.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series753.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
66.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
169.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
460.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify800.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
02062567
15812515
225572165
done50012165

prune636.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.2b
(* 1.6453555072203998 (* y b))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
6.0ms
(* 1.6453555072203998 (* y b))

series59.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (* 1.6453555072203998 (* y b)))
20.0ms
(* 1.6453555072203998 (* y b))

simplify843.0ms

Counts
35 → 35
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
057314
1150294
2483260
31857260
done5000260

prune100.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
0.2b
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
0.2b
(* (sqrt 1.6453555072203998) (* y b))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
5×add-log-exp
2×associate-*r* *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 56
Calls
3 calls:
3.0ms
(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
21.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
8.0ms
(* (sqrt 1.6453555072203998) (* y b))

series215.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
74.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
42.0ms
(* (sqrt 1.6453555072203998) (* y b))

simplify2.5s

Counts
65 → 65
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
081776
1224551
2894471
34364471
done5000471

prune143.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt 1.6453555072203998) (* (* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998))) (* (cbrt (sqrt 1.6453555072203998)) (* y b))))
0.2b
(* (* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998))) (* (cbrt (sqrt 1.6453555072203998)) (* y b)))
0.3b
(* (cbrt (sqrt 1.6453555072203998)) (* y b))
1.0b
(* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
66×pow1
61×add-exp-log
46×cbrt-prod
43×add-sqr-sqrt
42×pow-prod-down
41×prod-exp cbrt-unprod
37×add-cbrt-cube
26×sqrt-prod
25×associate-*l*
21×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×swap-sqr
9×unswap-sqr
6×pow1/3
4×*-commutative add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 144
Calls
4 calls:
93.0ms
(* (sqrt 1.6453555072203998) (* (* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998))) (* (cbrt (sqrt 1.6453555072203998)) (* y b))))
31.0ms
(* (* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998))) (* (cbrt (sqrt 1.6453555072203998)) (* y b)))
9.0ms
(* (cbrt (sqrt 1.6453555072203998)) (* y b))
9.0ms
(* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998)))

series312.0ms

Counts
4 → 10
Calls
4 calls:
82.0ms
(* (sqrt 1.6453555072203998) (* (* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998))) (* (cbrt (sqrt 1.6453555072203998)) (* y b))))
53.0ms
(* (* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998))) (* (cbrt (sqrt 1.6453555072203998)) (* y b)))
176.0ms
(* (cbrt (sqrt 1.6453555072203998)) (* y b))
0.0ms
(* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998)))

simplify748.0ms

Counts
154 → 154
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01432392
13712203
216821466
done50001466

prune355.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.4b

regimes800.0ms

Accuracy

92.7% (1.7b remaining)

Error of 4.9b against oracle of 3.2b and baseline of 26.3b

bsearch160.0ms

Steps
ItersRangePoint
3
523651629958845.9
721716784511977.2
706881567136002.4
7
-4.5045000713410016e+17
-1965082059402221.2
-4.4164831959839386e+17

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04783
17165
done7165

end0.0ms

sample921.0ms

Algorithm
intervals
Results
604.0ms8872×body80valid