Details

Time bar (total: 4.7s)

sample43.0ms

Algorithm
intervals
Results
18.0ms283×body80valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118
done500118

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
31.1b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite322.0ms

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:
40.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
37.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
130.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
113.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series751.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
63.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
177.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
473.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify75.0ms

Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05871179
12851995
25002995
done5002995

prune427.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.8b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:
7.0ms
(+ x (* 1.6453555072203998 (* y b)))
15.0ms
(* 1.6453555072203998 (* y b))

series61.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (* 1.6453555072203998 (* y b)))
21.0ms
(* 1.6453555072203998 (* y b))

simplify70.0ms

Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122
done5002122

prune94.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.8b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-prod
2×associate-*r* *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 60
Calls
3 calls:
10.0ms
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))
17.0ms
(* (cbrt 1.6453555072203998) (* y b))
62.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))
46.0ms
(* (cbrt 1.6453555072203998) (* y b))
70.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))

simplify40.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0251516
11008396
25002368
done5002368

prune161.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (cbrt 1.6453555072203998)) (cbrt (cbrt 1.6453555072203998)))
1.0b
(cbrt (cbrt 1.6453555072203998))
1.0b
(cbrt (cbrt 1.6453555072203998))
1.0b
(cbrt (cbrt 1.6453555072203998))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 96
Calls
4 calls:
19.0ms
(* (cbrt (cbrt 1.6453555072203998)) (cbrt (cbrt 1.6453555072203998)))
1.0ms
(cbrt (cbrt 1.6453555072203998))
1.0ms
(cbrt (cbrt 1.6453555072203998))
1.0ms
(cbrt (cbrt 1.6453555072203998))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(* (cbrt (cbrt 1.6453555072203998)) (cbrt (cbrt 1.6453555072203998)))
0.0ms
(cbrt (cbrt 1.6453555072203998))
0.0ms
(cbrt (cbrt 1.6453555072203998))
0.0ms
(cbrt (cbrt 1.6453555072203998))

simplify75.0ms

Counts
100 → 100
Iterations

Useful iterations: 4 (69.0ms)

IterNodesCost
098619
1331582
21229532
32645519
45001494
done5001494

prune256.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

regimes630.0ms

Accuracy

94.6% (1.3b remaining)

Error of 4.3b against oracle of 3.1b and baseline of 26.6b

bsearch238.0ms

Steps
ItersRangePoint
6
6.026489331186427e+34
2.505193159388646e+35
2.4784926326982053e+35
10
-8.810210805999838e+35
-5.216598471263534e+23
-1.1619460224098082e+33

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227
done7227

end0.0ms

sample1.0s

Algorithm
intervals
Results
567.0ms8863×body80valid