Details

Time bar (total: 15.7s)

sample98.0ms

Algorithm
intervals
Results
55.0ms296×body80valid

simplify608.0ms

Counts
1 → 1
Iterations
IterNodes
done2007
41007
3333
2114
155
030

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
2.8b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.2b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite383.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
12×*-un-lft-identity add-cube-cbrt
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*l/ prod-exp associate-*r/ cbrt-unprod insert-posit16 add-log-exp
3×associate-/r* times-frac pow-prod-down *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
29.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
94.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
152.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
107.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series913.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
68.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
166.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
600.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify858.0ms

Counts
103 → 103
Iterations
IterNodes
done2000
1599
0210

prune788.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 15.234687407) z)
0.0b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.0b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
4.5b
(/ (* y (+ 0 b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
14×*-un-lft-identity
12×add-cube-cbrt
10×pow1 associate-*l*
9×associate-*r*
6×associate-*l/
5×flip3-+ flip-+
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×associate-/r* times-frac pow-prod-down *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-*r/ associate-/r/ associate-/l/
1×clear-num frac-2neg div-inv distribute-lft-out associate-/l*
Counts
4 → 90
Calls
4 calls:
14.0ms
(* (+ z 15.234687407) z)
29.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
50.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
45.0ms
(/ (* y (+ 0 b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series342.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ z 15.234687407) z)
39.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
53.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
194.0ms
(/ (* y (+ 0 b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify556.0ms

Counts
102 → 102
Iterations
IterNodes
done2000
1586
0207

prune647.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.8b

localize13.0ms

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-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
10.0ms
(+ x (* 1.6453555072203998 (* y b)))
13.0ms
(* 1.6453555072203998 (* y b))

series67.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ x (* 1.6453555072203998 (* y b)))
26.0ms
(* 1.6453555072203998 (* y b))

simplify1.0s

Counts
37 → 37
Iterations
IterNodes
done2000
31773
2475
1152
058

prune220.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.7b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
26.3b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite482.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
21×associate-*r*
19×times-frac
15×add-cbrt-cube add-exp-log
10×pow1
9×associate-*l*
5×flip3-+ flip-+
4×associate-*l/ prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×associate-/r* pow-prod-down *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/
1×clear-num frac-2neg associate-*r/
Counts
4 → 109
Calls
4 calls:
33.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
101.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
210.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
134.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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:
122.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
84.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
651.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
291.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.5s

Counts
121 → 121
Iterations
IterNodes
done2001
1619
0229

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

regimes952.0ms

Accuracy

96.7% (0.9b remaining)

Error of 1.3b against oracle of 0.4b and baseline of 27.7b

bsearch380.0ms

Steps
ItersRangePoint
8
6.958276601859552e+37
4.3273804415740485e+40
9.640368061021876e+38
7
-1907532089021.778
-109151571906.26695
-1889722895859.1785

simplify15.0ms

Iterations
IterNodes
done77
177
052

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.8s8843×body80valid