Details

Time bar (total: 15.9s)

sample44.0ms

Algorithm
intervals
Results
19.0ms295×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211537
324037
459537
5151037
6302037
7478637
done500037

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
3.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite129.0ms

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:
19.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
11.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
54.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
43.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series746.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
69.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
177.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
464.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify784.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
02082415
15852393
223432037
done50012037

prune450.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.4b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 1.6453555072203998 (* y b))

rewrite7.0ms

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:
6.0ms
(* 1.6453555072203998 (* y b))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 1.6453555072203998 (* y b))

simplify2.4s

Counts
21 → 21
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
035154
186151
2284121
3899121
41715121
53512121
done5000121

prune69.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* 1.6453555072203998 y) b)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
7.0ms
(* (* 1.6453555072203998 y) b)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* (* 1.6453555072203998 y) b)

simplify2.8s

Counts
21 → 21
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
039157
197152
2408122
31551122
42813122
done5001122

prune77.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
7.6b
(cbrt (* (* 1.6453555072203998 y) b))
7.6b
(cbrt (* (* 1.6453555072203998 y) b))
7.6b
(cbrt (* (* 1.6453555072203998 y) b))

rewrite26.0ms

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:
8.0ms
(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
5.0ms
(cbrt (* (* 1.6453555072203998 y) b))
5.0ms
(cbrt (* (* 1.6453555072203998 y) b))
7.0ms
(cbrt (* (* 1.6453555072203998 y) b))

series444.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
99.0ms
(cbrt (* (* 1.6453555072203998 y) b))
99.0ms
(cbrt (* (* 1.6453555072203998 y) b))
99.0ms
(cbrt (* (* 1.6453555072203998 y) b))

simplify1.3s

Counts
70 → 70
Iterations

Useful iterations: 3 (418.0ms)

IterNodesCost
087856
1206767
2600671
32500587
done5001587

prune199.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.4b

regimes884.0ms

Accuracy

93.9% (1.4b remaining)

Error of 4.5b against oracle of 3.1b and baseline of 26.5b

bsearch288.0ms

Steps
ItersRangePoint
8
1.2564570459059827e+18
1.9712404559034665e+21
1.7516801007616134e+21
10
-5.137084903285435e+48
-6.6313037056385885e+35
-3.393892445676851e+38

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04783
17165
done7165

end0.0ms

sample923.0ms

Algorithm
intervals
Results
605.0ms8906×body80valid