Details

Time bar (total: 27.2s)

sample96.0ms

Algorithm
intervals
Results
54.0ms284×body80valid

simplify1.4s

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

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.4b

localize93.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))
0.1b
(* z (+ a (* z (+ t (* (+ 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)
22.7b
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite239.0ms

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/ associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×associate-/r* pow-prod-down *-commutative associate-/l*
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp div-inv associate-/l/
1×clear-num frac-2neg associate-*l/
Counts
4 → 109
Calls
4 calls:
15.0ms
(* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))
23.0ms
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
127.0ms
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
70.0ms
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series855.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))
87.0ms
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
391.0ms
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
315.0ms
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify2.4s

Counts
121 → 121
Iterations
IterNodes
done5003
23850
1740
0244

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize106.0ms

Local error

Found 4 expressions with local error:

13.3b
(cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))
13.3b
(cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))
13.3b
(cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))
19.7b
(* (* (cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a)))) (cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))) (/ (cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a)))) (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
24×associate-*r*
20×*-un-lft-identity times-frac add-cube-cbrt
19×cbrt-prod
16×frac-times flip3-+ add-exp-log flip-+
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 102
Calls
4 calls:
5.0ms
(cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))
5.0ms
(cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))
5.0ms
(cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))
123.0ms
(* (* (cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a)))) (cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))) (/ (cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a)))) (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z))))

series5.1s

Counts
4 → 12
Calls
4 calls:
1.5s
(cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))
1.4s
(cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))
1.5s
(cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))
597.0ms
(* (* (cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a)))) (cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a))))) (/ (cbrt (+ b (* z (+ (* (+ (* z (+ 11.1667541262 (* 3.13060547623 z))) t) z) a)))) (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z))))

simplify2.4s

Counts
114 → 114
Iterations
IterNodes
done5000
23649
1706
0228

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z)
0.1b
(* z (+ a (* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z)))
0.1b
(* (* (+ (* z (+ a (* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z)))) y)
22.8b
(* (+ (* z (+ a (* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z))))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
28×add-sqr-sqrt
24×associate-*r*
22×add-cbrt-cube
18×*-un-lft-identity
17×add-cube-cbrt
15×pow1 prod-exp
12×associate-*l/
11×times-frac
10×associate-*l*
9×cbrt-unprod
7×flip3-+ flip-+
6×pow-prod-down
5×unswap-sqr
4×frac-times div-exp associate-*r/ *-commutative add-log-exp
2×cbrt-undiv rec-exp 1-exp associate-/r/ un-div-inv
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 112
Calls
4 calls:
13.0ms
(* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z)
12.0ms
(* z (+ a (* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z)))
113.0ms
(* (* (+ (* z (+ a (* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z)))) y)
88.0ms
(* (+ (* z (+ a (* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z))))

series890.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z)
92.0ms
(* z (+ a (* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z)))
408.0ms
(* (* (+ (* z (+ a (* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z)))) y)
307.0ms
(* (+ (* z (+ a (* (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))) z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z))))

simplify556.0ms

Counts
124 → 124
Iterations
IterNodes
done5001
1805
0266

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize81.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (+ (+ (* z a) (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z)))) y)
3.2b
(+ (* z a) (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z)))
4.0b
(* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z))
22.8b
(* (+ (+ (* z a) (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
23×add-cbrt-cube
22×add-sqr-sqrt
19×associate-*r*
17×*-un-lft-identity
16×pow1 prod-exp
14×add-cube-cbrt
12×associate-*l/
11×times-frac
10×cbrt-unprod
8×associate-*l*
7×flip3-+ pow-prod-down flip-+
6×add-log-exp
4×frac-times div-exp unswap-sqr
3×*-commutative
2×cbrt-undiv rec-exp 1-exp associate-*r/ associate-/r/ un-div-inv
1×+-commutative sum-log div-inv distribute-lft-out
Counts
4 → 103
Calls
4 calls:
110.0ms
(* (* (+ (+ (* z a) (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z)))) y)
8.0ms
(+ (* z a) (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z)))
54.0ms
(* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z))
115.0ms
(* (+ (+ (* z a) (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z))))

series897.0ms

Counts
4 → 12
Calls
4 calls:
405.0ms
(* (* (+ (+ (* z a) (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z)))) y)
92.0ms
(+ (* z a) (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z)))
51.0ms
(* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z))
349.0ms
(* (+ (+ (* z a) (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) (* z z))) b) (/ 1 (+ 0.607771387771 (* (+ (* (+ (* (+ 15.234687407 z) z) 31.4690115749) z) 11.9400905721) z))))

simplify544.0ms

Counts
115 → 115
Iterations
IterNodes
done5000
1760
0250

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes1.6s

Accuracy

96.8% (0.9b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 27.5b

bsearch500.0ms

Steps
ItersRangePoint
10
3.912486974204115e+60
1.6846826990440795e+73
4.625141675276618e+62
9
-1.60613908619623e+49
-5.813419192083628e+39
-4.459712087368474e+43

simplify7.0ms

Iterations
IterNodes
done76
176
049

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.1s8948×body80valid