Details

Time bar (total: 28.4s)

sample99.0ms

Algorithm
intervals
Results
58.0ms282×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03037
15537
211637
332537
489137
5248437
done500037

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
3.1b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.1b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite883.0ms

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:
66.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
125.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
202.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
485.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.1s

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
112.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
227.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
645.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.3s

Counts
99 → 99
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02072689
15682615
221082277
done50002265

prune753.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 1.6453555072203998 (* y b))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
29.0ms
(* 1.6453555072203998 (* y b))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* 1.6453555072203998 (* y b))

simplify8.0s

Counts
21 → 21
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
035154
185151
2298121
3980121
42143121
54393121
done5001121

prune141.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 1.6453555072203998) (* y b))
0.2b
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-prod
2×associate-*r* *-commutative add-log-exp
Counts
2 → 45
Calls
2 calls:
36.0ms
(* (sqrt 1.6453555072203998) (* y b))
82.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (sqrt 1.6453555072203998) (* y b))
116.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))

simplify3.3s

Counts
51 → 51
Iterations

Useful iterations: done (3.3s)

IterNodesCost
059538
1154408
2595332
32557332
done5001330

prune186.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (sqrt 1.6453555072203998) (* y b))) (cbrt (* (sqrt 1.6453555072203998) (* y b))))
12.3b
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
12.3b
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
12.3b
(cbrt (* (sqrt 1.6453555072203998) (* y b)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
39.0ms
(* (cbrt (* (sqrt 1.6453555072203998) (* y b))) (cbrt (* (sqrt 1.6453555072203998) (* y b))))
18.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
25.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
15.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))

series928.0ms

Counts
4 → 12
Calls
4 calls:
333.0ms
(* (cbrt (* (sqrt 1.6453555072203998) (* y b))) (cbrt (* (sqrt 1.6453555072203998) (* y b))))
212.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
187.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
196.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))

simplify4.2s

Counts
70 → 70
Iterations

Useful iterations: done (4.2s)

IterNodesCost
088962
1197865
2539746
31395655
44460572
done5002539

prune305.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.6b

regimes1.1s

Accuracy

93.3% (1.5b remaining)

Error of 4.7b against oracle of 3.2b and baseline of 26.3b

bsearch455.0ms

Steps
ItersRangePoint
8
4.7234597796334773e+33
1.0482750695857111e+38
4.346209009373722e+37
7
-1.7485765846485206e+42
-9.677506334057291e+39
-1.062323905833266e+42

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
04783
17165
done7165

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s8873×body80valid