Details

Time bar (total: 22.7s)

sample59.0ms

Algorithm
intervals
Results
33.0ms287×body80valid

simplify2.2s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize93.0ms

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) t) z)
1.5b
(* 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))

rewrite421.0ms

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 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 → 87
Calls
4 calls:
104.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
59.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
123.0ms
(* 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))

series1.0s

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
56.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
213.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
673.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.6s

Counts
99 → 99
Iterations
IterNodes
done5002
22178
1588
0207

prune968.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.6b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
5.0ms
(+ x (* 1.6453555072203998 (* y b)))
12.0ms
(* 1.6453555072203998 (* y b))

series69.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ x (* 1.6453555072203998 (* y b)))
23.0ms
(* 1.6453555072203998 (* y b))

simplify2.2s

Counts
35 → 35
Iterations
IterNodes
done5000
31761
2473
1150
056

prune261.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.6b

localize60.0ms

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) t) 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)))
25.3b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite435.0ms

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/ add-log-exp
2×clear-num frac-2neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 149
Calls
4 calls:
68.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
57.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
142.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
162.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series890.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
56.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
585.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
152.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify2.5s

Counts
161 → 161
Iterations
IterNodes
done5004
22858
1794
0301

prune1.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.0b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.3b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))
2.7b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
100×*-un-lft-identity
72×add-sqr-sqrt
68×add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
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/ add-log-exp
2×clear-num frac-2neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 165
Calls
4 calls:
56.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
32.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
60.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))
39.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
44.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
102.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))
198.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))

simplify1.8s

Counts
177 → 177
Iterations
IterNodes
done5001
22750
1837
0315

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.3b

regimes1.1s

Accuracy

96.5% (0.8b remaining)

Error of 1.4b against oracle of 0.6b and baseline of 22.4b

bsearch369.0ms

Steps
ItersRangePoint
8
4.567079784480215e+21
6.744088723668031e+25
5.805043103918813e+25
8
-1.3541555744178473e+45
-3.1905416021720325e+41
-9.828139804829426e+41

simplify17.0ms

Iterations
IterNodes
done69
169
046

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s8844×body80valid