Details

Time bar (total: 34.6s)

sample115.0ms

Algorithm
intervals
Results
80.0ms287×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5004
52954
41007
3333
2114
155
030

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.6b

localize90.0ms

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)
1.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.6b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite388.0ms

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:
55.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
34.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
165.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
132.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series954.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
108.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
194.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
591.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify3.7s

Counts
103 → 103
Iterations
IterNodes
done5005
22304
1602
0210

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize93.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
25.9b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite402.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×*-un-lft-identity add-cube-cbrt
18×associate-/r*
15×add-cbrt-cube add-exp-log
11×associate-/r/
8×pow1 flip3-+ flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv div-exp associate-*l/ insert-posit16 add-log-exp
2×clear-num frac-2neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 153
Calls
4 calls:
96.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
23.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
150.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
127.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series1.2s

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
129.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
804.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
223.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify4.0s

Counts
165 → 165
Iterations
IterNodes
done5002
22906
1808
0305

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize99.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)
0.1b
(* z (+ (* 3.13060547623 z) 11.1667541262))
0.2b
(* y (/ (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z))))
25.9b
(/ (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)))

rewrite145.0ms

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×prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×associate-/r* pow-prod-down associate-*r/ *-commutative associate-/l*
2×cbrt-undiv div-exp associate-*l/ div-inv associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in
Counts
4 → 111
Calls
4 calls:
12.0ms
(* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)
23.0ms
(* z (+ (* 3.13060547623 z) 11.1667541262))
41.0ms
(* y (/ (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z))))
66.0ms
(/ (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)))

series1.8s

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)
104.0ms
(* z (+ (* 3.13060547623 z) 11.1667541262))
984.0ms
(* y (/ (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z))))
612.0ms
(/ (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)))

simplify3.2s

Counts
123 → 123
Iterations
IterNodes
done5004
22702
1694
0236

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize97.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* 3.13060547623 z) 11.1667541262))
0.1b
(/ 1 (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)))
0.2b
(* y (* (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (/ 1 (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)))))
26.0b
(* (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (/ 1 (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
32×add-sqr-sqrt
24×*-un-lft-identity
23×add-cube-cbrt
22×add-cbrt-cube
20×times-frac
19×associate-*r*
14×pow1 prod-exp
10×associate-*r/
9×associate-*l*
8×cbrt-unprod
7×flip3-+ flip-+
6×div-exp
5×pow-prod-down
4×frac-times associate-*l/ associate-/r/ insert-posit16 add-log-exp unswap-sqr
3×cbrt-undiv rec-exp associate-/r* 1-exp *-commutative associate-/l*
2×un-div-inv div-inv
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-flip inv-pow
Counts
4 → 129
Calls
4 calls:
20.0ms
(* z (+ (* 3.13060547623 z) 11.1667541262))
7.0ms
(/ 1 (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)))
48.0ms
(* y (* (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (/ 1 (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)))))
24.0ms
(* (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (/ 1 (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z))))

series2.0s

Counts
4 → 12
Calls
4 calls:
119.0ms
(* z (+ (* 3.13060547623 z) 11.1667541262))
127.0ms
(/ 1 (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)))
1.1s
(* y (* (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (/ 1 (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z)))))
693.0ms
(* (+ b (* z (+ (* z (+ (* z (+ (* 3.13060547623 z) 11.1667541262)) t)) a))) (/ 1 (+ 0.607771387771 (* (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)) z))))

simplify3.2s

Counts
141 → 141
Iterations
IterNodes
done5030
22797
1749
0256

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

regimes1.3s

Accuracy

97.3% (0.7b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 26.7b

bsearch653.0ms

Steps
ItersRangePoint
9
2.705484573839852e+50
4.62892497053394e+59
4.025561367592441e+50
10
-5.711287640901297e+35
-5.927106359411468e+25
-5.657439373470419e+35

simplify25.0ms

Iterations
IterNodes
done70
170
046

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.9s8896×body80valid