Details

Time bar (total: 22.5s)

sample181.0ms

Algorithm
intervals
Results
61.0ms683×body80nan
25.0ms256×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
350019
4229519
done500119

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
24.0ms
(* 3.0 (/ x (* y 27.0)))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
90.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series211.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 3.0 (/ x (* y 27.0)))
37.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
112.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.3s

Counts
142 → 142
Iterations

Useful iterations: 2 (634.0ms)

IterNodesCost
02522762
17472641
247062097
done50002097

prune617.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
1.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
38.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
98.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series331.0ms

Counts
4 → 10
Calls
4 calls:
155.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
133.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
43.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.2s

Counts
203 → 203
Iterations

Useful iterations: 2 (507.0ms)

IterNodesCost
02954013
18083832
248273328
done50003328

prune986.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.8b
(* (sqrt t) (/ x (* z y)))
4.9b
(/ x (* z y))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
35×add-cbrt-cube
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
12×times-frac
11×pow1
9×associate-*l*
8×cbrt-undiv div-exp associate-*r*
7×associate-/r*
6×cbrt-prod
4×pow-prod-down sqrt-prod associate-/l* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 102
Calls
4 calls:
13.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
50.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
26.0ms
(* (sqrt t) (/ x (* z y)))
14.0ms
(/ x (* z y))

series371.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
104.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
98.0ms
(* (sqrt t) (/ x (* z y)))
31.0ms
(/ x (* z y))

simplify1.4s

Counts
114 → 114
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02001720
15201644
224261396
done50021378

prune706.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.0b
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt (sqrt 3.0)))
1.8b
(* (sqrt t) (/ x (* z y)))
4.9b
(/ x (* z y))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
34×add-exp-log
33×add-cube-cbrt *-un-lft-identity times-frac add-cbrt-cube
24×cbrt-prod
16×sqrt-prod
13×prod-exp cbrt-unprod
11×pow1
10×associate-/r*
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp
6×associate-/l*
4×pow-prod-down add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 127
Calls
4 calls:
68.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
13.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt (sqrt 3.0)))
26.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series530.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
320.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt (sqrt 3.0)))
81.0ms
(* (sqrt t) (/ x (* z y)))
30.0ms
(/ x (* z y))

simplify1.3s

Counts
139 → 139
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02352534
15372427
224152209
done50012191

prune820.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes712.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02026
12526
done2526

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.0s24170×body80nan
1.2s8000×body80valid