Details

Time bar (total: 21.6s)

sample55.0ms

Algorithm
intervals
Results
27.0ms279×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211637
332537
489137
5248437
done500037

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize70.0ms

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)
1.9b
(* 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))

rewrite455.0ms

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:
112.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
31.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
164.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
145.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.2s

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
103.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
264.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
725.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02062567
15712515
221312165
done50002157

prune775.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize64.0ms

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)
0.2b
(/ 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))

rewrite563.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log add-cbrt-cube
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×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 149
Calls
4 calls:
134.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
38.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
211.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
167.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series1.0s

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
77.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
679.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
183.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify1.6s

Counts
161 → 161
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03007148
17227024
226136612
done50026598

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize38.0ms

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)
1.0b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))
2.8b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))

rewrite366.0ms

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-exp-log add-cbrt-cube
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×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 165
Calls
4 calls:
110.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
81.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
106.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))
61.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
48.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
81.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))
183.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))

simplify1.7s

Counts
177 → 177
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03185328
17584800
225054512
done50014498

prune777.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 15.234687407) z)
0.2b
(* (* z z) (+ (* (+ z 15.234687407) z) 31.4690115749))
1.0b
(/ (+ (* (* z z) (+ (* (+ z 15.234687407) z) 31.4690115749)) 0.607771387771) (+ 0 b))
2.8b
(/ y (/ (+ (* (* z z) (+ (* (+ z 15.234687407) z) 31.4690115749)) 0.607771387771) (+ 0 b)))

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
101×*-un-lft-identity
70×add-sqr-sqrt
67×add-cube-cbrt
22×associate-/r*
18×add-exp-log add-cbrt-cube
17×distribute-lft-out
11×pow1 associate-/r/
8×flip3-+ flip-+
6×associate-*r* div-inv associate-/l*
5×associate-*l*
4×cbrt-undiv div-exp pow-prod-down prod-exp cbrt-unprod add-log-exp
2×frac-2neg associate-*r/ associate-*l/ clear-num *-commutative associate-/l/ unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
4 → 169
Calls
4 calls:
21.0ms
(* (+ z 15.234687407) z)
64.0ms
(* (* z z) (+ (* (+ z 15.234687407) z) 31.4690115749))
174.0ms
(/ (+ (* (* z z) (+ (* (+ z 15.234687407) z) 31.4690115749)) 0.607771387771) (+ 0 b))
63.0ms
(/ y (/ (+ (* (* z z) (+ (* (+ z 15.234687407) z) 31.4690115749)) 0.607771387771) (+ 0 b)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (+ z 15.234687407) z)
55.0ms
(* (* z z) (+ (* (+ z 15.234687407) z) 31.4690115749))
110.0ms
(/ (+ (* (* z z) (+ (* (+ z 15.234687407) z) 31.4690115749)) 0.607771387771) (+ 0 b))
192.0ms
(/ y (/ (+ (* (* z z) (+ (* (+ z 15.234687407) z) 31.4690115749)) 0.607771387771) (+ 0 b)))

simplify1.8s

Counts
181 → 181
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03114817
17554269
226874019
done50004001

prune940.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

regimes811.0ms

Accuracy

91.6% (1.6b remaining)

Error of 4.9b against oracle of 3.2b and baseline of 22.6b

bsearch457.0ms

Steps
ItersRangePoint
9
15813.063300825055
27128352222.409004
26781923308.581894
7
-8.746019877587605e+69
-4.973584618228966e+68
-6.98399190922487e+68

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
04985
17667
done7667

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.1s8851×body80valid