Details

Time bar (total: 24.9s)

sample121.0ms

Algorithm
intervals
Results
47.0ms288×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
41130
3337
2116
155
030

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize80.0ms

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)
2.2b
(* 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))

rewrite531.0ms

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:
115.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
44.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
208.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
161.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.1s

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
107.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
244.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
671.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.7s

Counts
99 → 99
Iterations
IterNodes
done5004
23189
1596
0206

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 15.234687407) z)
0.0b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
5.4b
(/ (* y (+ 0 b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite185.0ms

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 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 → 86
Calls
4 calls:
24.0ms
(* (+ z 15.234687407) z)
62.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
35.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
61.0ms
(/ (* y (+ 0 b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series413.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (+ z 15.234687407) z)
78.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
37.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
237.0ms
(/ (* y (+ 0 b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.1s

Counts
98 → 98
Iterations
IterNodes
done5000
23565
1586
0203

prune879.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 3.13060547623 y) (* (/ y z) (/ t z)))
0.2b
(/ 36.527041698806414 (/ z y))
1.8b
(- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y)))
2.3b
(* (/ y z) (/ t z))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
81×add-sqr-sqrt
62×*-un-lft-identity
60×add-cube-cbrt
21×add-cbrt-cube add-exp-log
13×associate-/r* associate-*r* associate-*l*
11×add-log-exp
7×cbrt-undiv div-exp div-inv
6×pow1
4×prod-exp cbrt-unprod unswap-sqr
3×associate-/l* difference-of-squares
2×sum-log flip3-+ diff-log frac-sub flip-+
1×frac-times +-commutative clear-num sub-neg frac-2neg flip3-- pow-prod-down associate-*l/ associate--l+ associate-*r/ associate-/r/ *-commutative flip-- distribute-lft-out--
Counts
4 → 151
Calls
4 calls:
13.0ms
(+ (* 3.13060547623 y) (* (/ y z) (/ t z)))
12.0ms
(/ 36.527041698806414 (/ z y))
72.0ms
(- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y)))
37.0ms
(* (/ y z) (/ t z))

series222.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (* 3.13060547623 y) (* (/ y z) (/ t z)))
23.0ms
(/ 36.527041698806414 (/ z y))
93.0ms
(- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y)))
38.0ms
(* (/ y z) (/ t z))

simplify2.1s

Counts
163 → 163
Iterations
IterNodes
done5001
24505
1853
0297

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

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)))
26.4b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite433.0ms

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 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 → 105
Calls
4 calls:
92.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
27.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
174.0ms
(* 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))

series1.2s

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
86.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
714.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
316.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.9s

Counts
117 → 117
Iterations
IterNodes
done5002
23147
1622
0225

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

96.6% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 23.1b

bsearch654.0ms

Steps
ItersRangePoint
9
1.6799158367203733e+36
2.166677280609876e+43
5.484371003442913e+38
7
-7.963569197785666e+71
-3.759409059654081e+70
-3.80730209029403e+70

simplify26.0ms

Iterations
IterNodes
done70
170
046

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.6s8906×body80valid