Details

Time bar (total: 21.9s)

sample55.0ms

Algorithm
intervals
Results
26.0ms288×body80valid

simplify1.1s

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

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.2b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
0.1b
(* (+ 11.1667541262 (* z 3.13060547623)) z)
0.1b
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
26.4b
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
21×associate-*l*
19×times-frac
15×add-cbrt-cube add-exp-log
10×pow1
9×associate-*r*
5×flip3-+ flip-+
4×prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×associate-/r* pow-prod-down associate-*l/ *-commutative associate-/l*
2×cbrt-undiv div-exp associate-*r/ div-inv associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in
Counts
4 → 107
Calls
4 calls:
12.0ms
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
13.0ms
(* (+ 11.1667541262 (* z 3.13060547623)) z)
155.0ms
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
87.0ms
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series854.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
82.0ms
(* (+ 11.1667541262 (* z 3.13060547623)) z)
381.0ms
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
284.0ms
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify2.1s

Counts
119 → 119
Iterations
IterNodes
done5000
23896
1723
0241

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
0.1b
(* (+ 11.1667541262 (* z 3.13060547623)) z)
1.9b
(/ y (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)))
28.2b
(* (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (/ y (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z))))

rewrite99.0ms

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*
6×flip3-+ flip-+
4×associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×associate-/r* pow-prod-down associate-*r/ *-commutative associate-/l*
2×frac-times cbrt-undiv div-exp div-inv
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in
Counts
4 → 109
Calls
4 calls:
17.0ms
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
14.0ms
(* (+ 11.1667541262 (* z 3.13060547623)) z)
11.0ms
(/ y (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)))
51.0ms
(* (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (/ y (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z))))

series807.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
90.0ms
(* (+ 11.1667541262 (* z 3.13060547623)) z)
224.0ms
(/ y (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)))
395.0ms
(* (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (/ y (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z))))

simplify2.1s

Counts
121 → 121
Iterations
IterNodes
done5001
24268
1746
0252

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 3.13060547623 (/ 36.527041698806414 z))
0.0b
(+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ (/ t z) z))
0.1b
(/ (/ t z) z)
2.9b
(* (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ (/ t z) z)) y)

rewrite413.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
60×*-un-lft-identity
55×add-sqr-sqrt
48×add-cube-cbrt
13×associate-/l*
11×add-cbrt-cube add-exp-log add-log-exp
6×pow1
5×associate-*l* div-inv
4×associate-*l/ frac-add distribute-lft-out
3×cbrt-undiv associate-/r* flip3-- div-exp associate-*r* flip-- distribute-lft-out--
2×associate-+l+ sum-log sub-neg flip3-+ diff-log flip-+ difference-of-squares
1×+-commutative clear-num frac-2neg pow-prod-down prod-exp *-commutative associate-+l- cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 128
Calls
4 calls:
8.0ms
(- 3.13060547623 (/ 36.527041698806414 z))
90.0ms
(+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ (/ t z) z))
9.0ms
(/ (/ t z) z)
302.0ms
(* (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ (/ t z) z)) y)

series202.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- 3.13060547623 (/ 36.527041698806414 z))
45.0ms
(+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ (/ t z) z))
53.0ms
(/ (/ t z) z)
60.0ms
(* (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ (/ t z) z)) y)

simplify1.5s

Counts
140 → 140
Iterations
IterNodes
done5000
22750
1576
0241

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 11.1667541262 (* z 3.13060547623)) z)
0.1b
(* (* (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)))) y)
0.2b
(/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)))
26.5b
(* (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z))))

rewrite205.0ms

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
21×associate-*r*
20×times-frac
14×pow1 prod-exp
12×associate-*l/
8×cbrt-unprod
7×flip3-+ associate-*l* flip-+
6×div-exp
5×pow-prod-down
4×frac-times associate-/r/ add-log-exp unswap-sqr
3×cbrt-undiv rec-exp associate-/r* 1-exp *-commutative associate-/l*
2×associate-*r/ un-div-inv div-inv
1×clear-num frac-2neg pow-flip inv-pow
Counts
4 → 123
Calls
4 calls:
15.0ms
(* (+ 11.1667541262 (* z 3.13060547623)) z)
94.0ms
(* (* (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)))) y)
15.0ms
(/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)))
77.0ms
(* (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (+ 11.1667541262 (* z 3.13060547623)) z)
453.0ms
(* (* (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)))) y)
78.0ms
(/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)))
354.0ms
(* (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z))))

simplify591.0ms

Counts
135 → 135
Iterations
IterNodes
done5001
1724
0256

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes1.3s

Accuracy

96.9% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 26.4b

bsearch398.0ms

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

simplify12.0ms

Iterations
IterNodes
done72
172
046

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.2s8906×body80valid