Details

Time bar (total: 17.4s)

sample93.0ms

Algorithm
intervals
Results
45.0ms282×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211637
333737
4113037
done500037

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize31.0ms

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)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
31.2b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite516.0ms

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:
127.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
32.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
191.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
164.0ms
(/ (* 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:
105.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
105.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
242.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
681.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.3s

Counts
99 → 99
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02062567
15962515
232012179
done50022173

prune791.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.6b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 1.6453555072203998 (* y b))

rewrite24.0ms

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:
24.0ms
(* 1.6453555072203998 (* y b))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* 1.6453555072203998 (* y b))

simplify3.5s

Counts
21 → 21
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
035154
186151
2313121
31269121
done5001121

prune76.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
13.5b
(cbrt (* 1.6453555072203998 (* y b)))
13.5b
(cbrt (* 1.6453555072203998 (* y b)))
13.5b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite96.0ms

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:
45.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
18.0ms
(cbrt (* 1.6453555072203998 (* y b)))
19.0ms
(cbrt (* 1.6453555072203998 (* y b)))
11.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series616.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
148.0ms
(cbrt (* 1.6453555072203998 (* y b)))
133.0ms
(cbrt (* 1.6453555072203998 (* y b)))
144.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify722.0ms

Counts
70 → 70
Iterations

Useful iterations: done (718.0ms)

IterNodesCost
086856
1222766
2843670
done5001620

prune428.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.6b

localize38.0ms

Local error

Found 4 expressions with local error:

13.5b
(cbrt (* 1.6453555072203998 (* y b)))
13.5b
(cbrt (* 1.6453555072203998 (* y b)))
13.5b
(cbrt (* 1.6453555072203998 (* y b)))
13.5b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 36
Calls
4 calls:
21.0ms
(cbrt (* 1.6453555072203998 (* y b)))
20.0ms
(cbrt (* 1.6453555072203998 (* y b)))
27.0ms
(cbrt (* 1.6453555072203998 (* y b)))
19.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (* 1.6453555072203998 (* y b)))
158.0ms
(cbrt (* 1.6453555072203998 (* y b)))
153.0ms
(cbrt (* 1.6453555072203998 (* y b)))
160.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify901.0ms

Counts
48 → 48
Iterations

Useful iterations: done (899.0ms)

IterNodesCost
041468
188460
2168408
3424380
41770348
done5000344

prune258.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.6b

regimes698.0ms

Accuracy

94.4% (1.3b remaining)

Error of 4.5b against oracle of 3.2b and baseline of 26.4b

bsearch347.0ms

Steps
ItersRangePoint
7
1.843000863143251e+36
1.234549910131943e+38
1.0531695048436262e+38
10
-3.6430496478640726e+56
-1.0117771743707516e+45
-1.5103509220295092e+53

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04783
17265
done7265

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s8871×body80valid