Details

Time bar (total: 20.5s)

sample68.0ms

Algorithm
intervals
Results
29.0ms282×body80valid

simplify1.3s

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
0.1b
(* (+ 11.1667541262 (* z 3.13060547623)) z)
0.2b
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
26.1b
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite290.0ms

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:
43.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
13.0ms
(* (+ 11.1667541262 (* z 3.13060547623)) z)
152.0ms
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
79.0ms
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series831.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
87.0ms
(* (+ 11.1667541262 (* z 3.13060547623)) z)
379.0ms
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
310.0ms
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify1.8s

Counts
119 → 119
Iterations
IterNodes
done5002
23942
1719
0238

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y 3.13060547623) (- (* (/ y z) (/ t z)) (/ (* y 36.527041698806414) z)))
0.2b
(/ (* y 36.527041698806414) z)
1.7b
(* (/ y z) (/ t z))
2.7b
(- (* (/ y z) (/ t z)) (/ (* y 36.527041698806414) z))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×times-frac
21×add-cbrt-cube add-exp-log
20×*-un-lft-identity add-cube-cbrt
13×associate-*r* associate-*l*
11×add-log-exp
6×pow1 cbrt-undiv div-exp
5×prod-exp cbrt-unprod
4×unswap-sqr
3×associate-/r* associate-*l/ associate-*r/ frac-sub div-inv
2×frac-times associate-+r+ sum-log sub-neg diff-log sub-div
1×+-commutative clear-num associate-+r- frac-2neg flip3-+ flip3-- pow-prod-down *-commutative flip-+ flip-- associate-/l*
Counts
4 → 103
Calls
4 calls:
34.0ms
(+ (* y 3.13060547623) (- (* (/ y z) (/ t z)) (/ (* y 36.527041698806414) z)))
7.0ms
(/ (* y 36.527041698806414) z)
21.0ms
(* (/ y z) (/ t z))
11.0ms
(- (* (/ y z) (/ t z)) (/ (* y 36.527041698806414) z))

series232.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (* y 3.13060547623) (- (* (/ y z) (/ t z)) (/ (* y 36.527041698806414) z)))
23.0ms
(/ (* y 36.527041698806414) z)
40.0ms
(* (/ y z) (/ t z))
90.0ms
(- (* (/ y z) (/ t z)) (/ (* y 36.527041698806414) z))

simplify1.9s

Counts
115 → 115
Iterations
IterNodes
done5000
23747
1615
0197

prune801.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* z z) 3.13060547623)
0.2b
(* (/ (+ (* z (+ a (* z (+ t (+ (* 11.1667541262 z) (* (* z z) 3.13060547623)))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
0.2b
(+ (* 11.1667541262 z) (* (* z z) 3.13060547623))
26.1b
(/ (+ (* z (+ a (* z (+ t (+ (* 11.1667541262 z) (* (* z z) 3.13060547623)))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac
16×add-cbrt-cube associate-*l* add-exp-log
11×pow1
6×associate-*r* add-log-exp
5×prod-exp cbrt-unprod
4×flip3-+ pow-prod-down associate-/r/ flip-+
3×associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv div-exp *-commutative div-inv associate-/l/
1×+-commutative clear-num sum-log frac-2neg associate-*l/
Counts
4 → 95
Calls
4 calls:
14.0ms
(* (* z z) 3.13060547623)
116.0ms
(* (/ (+ (* z (+ a (* z (+ t (+ (* 11.1667541262 z) (* (* z z) 3.13060547623)))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
12.0ms
(+ (* 11.1667541262 z) (* (* z z) 3.13060547623))
77.0ms
(/ (+ (* z (+ a (* z (+ t (+ (* 11.1667541262 z) (* (* z z) 3.13060547623)))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series832.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* z z) 3.13060547623)
391.0ms
(* (/ (+ (* z (+ a (* z (+ t (+ (* 11.1667541262 z) (* (* z z) 3.13060547623)))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
103.0ms
(+ (* 11.1667541262 z) (* (* z z) 3.13060547623))
309.0ms
(/ (+ (* z (+ a (* z (+ t (+ (* 11.1667541262 z) (* (* z z) 3.13060547623)))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify1.7s

Counts
107 → 107
Iterations
IterNodes
done5002
23447
1631
0214

prune928.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize81.0ms

Local error

Found 4 expressions with local error:

3.8b
(* t (/ y z))
13.6b
(cbrt (+ (- (/ (* t (/ y z)) z) (/ (* 36.527041698806414 y) z)) (* y 3.13060547623)))
13.6b
(cbrt (+ (- (/ (* t (/ y z)) z) (/ (* 36.527041698806414 y) z)) (* y 3.13060547623)))
13.6b
(cbrt (+ (- (/ (* t (/ y z)) z) (/ (* 36.527041698806414 y) z)) (* y 3.13060547623)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
13×associate-*r*
10×times-frac
9×cbrt-prod add-cbrt-cube add-exp-log
6×pow1 cbrt-div
4×add-log-exp
3×flip3-+ pow1/3 associate-*l* flip-+
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative div-inv
Counts
4 → 71
Calls
4 calls:
11.0ms
(* t (/ y z))
58.0ms
(cbrt (+ (- (/ (* t (/ y z)) z) (/ (* 36.527041698806414 y) z)) (* y 3.13060547623)))
52.0ms
(cbrt (+ (- (/ (* t (/ y z)) z) (/ (* 36.527041698806414 y) z)) (* y 3.13060547623)))
50.0ms
(cbrt (+ (- (/ (* t (/ y z)) z) (/ (* 36.527041698806414 y) z)) (* y 3.13060547623)))

series1.4s

Counts
4 → 12
Calls
4 calls:
23.0ms
(* t (/ y z))
517.0ms
(cbrt (+ (- (/ (* t (/ y z)) z) (/ (* 36.527041698806414 y) z)) (* y 3.13060547623)))
417.0ms
(cbrt (+ (- (/ (* t (/ y z)) z) (/ (* 36.527041698806414 y) z)) (* y 3.13060547623)))
449.0ms
(cbrt (+ (- (/ (* t (/ y z)) z) (/ (* 36.527041698806414 y) z)) (* y 3.13060547623)))

simplify594.0ms

Counts
83 → 83
Iterations
IterNodes
done5001
21296
1385
0157

prune800.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

regimes1.9s

Accuracy

97.3% (0.7b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 27.2b

bsearch391.0ms

Steps
ItersRangePoint
8
1.2451536107620915e+24
9.583338110176862e+26
8.547714906039646e+26
9
-7.557965777348655e+48
-3.570751249498963e+39
-1.1377676592436387e+43

simplify11.0ms

Iterations
IterNodes
done76
176
052

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.7s8864×body80valid