Details

Time bar (total: 8.9s)

sample90.0ms

Algorithm
intervals
Results
45.0ms298×body80valid

simplify60.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize48.0ms

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)
3.6b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.4b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite536.0ms

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:
91.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
36.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
206.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
200.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series961.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
72.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
231.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
587.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify62.0ms

Counts
99 → 99

prune617.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:
9.0ms
(+ x (* 1.6453555072203998 (* y b)))
17.0ms
(* 1.6453555072203998 (* y b))

series69.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (* 1.6453555072203998 (* y b)))
30.0ms
(* 1.6453555072203998 (* y b))

simplify70.0ms

Counts
35 → 35

prune129.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
9.0ms
(+ x (* (* 1.6453555072203998 y) b))
26.0ms
(* (* 1.6453555072203998 y) b)

series77.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ x (* (* 1.6453555072203998 y) b))
33.0ms
(* (* 1.6453555072203998 y) b)

simplify117.0ms

Counts
35 → 35

prune127.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize50.0ms

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)
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)))
26.6b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite524.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
5×flip3-+ flip-+
4×associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/
1×frac-2neg associate-*r/ clear-num
Counts
4 → 105
Calls
4 calls:
90.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
33.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
232.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
166.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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:
81.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
100.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
632.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
288.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify61.0ms

Counts
117 → 117

prune668.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

regimes810.0ms

Accuracy

96.6% (0.9b remaining)

Error of 1.2b against oracle of 0.3b and baseline of 26.1b

bsearch397.0ms

Steps
ItersRangePoint
6
2.0178947003098317e+42
1.880171621652531e+43
7.218106116288501e+42
10
-1.5706565646194004e+86
-5.445403529690332e+74
-5.529459923355985e+74

simplify63.0ms

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.6s8879×body80valid