Details

Time bar (total: 16.3s)

sample96.0ms

Algorithm
intervals
Results
38.0ms801×body80nan
12.0ms256×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize14.0ms

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))))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite142.0ms

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:
21.0ms
(* 3.0 (/ x (* y 27.0)))
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
71.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series172.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
102.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.2s

Counts
142 → 142
Iterations

Useful iterations: 2 (443.0ms)

IterNodesCost
02522762
16942639
230882021
done50012021

prune311.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l*
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×sqrt-prod 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:
25.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ (cbrt 1.0) (cbrt 3.0))
69.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series240.0ms

Counts
4 → 10
Calls
4 calls:
112.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
98.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.2s

Counts
203 → 203
Iterations

Useful iterations: 2 (449.0ms)

IterNodesCost
02993999
17543844
231723272
done50003272

prune747.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.0b
(* (sqrt t) (/ x (* z y)))
5.0b
(/ x (* z y))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log
62×add-cbrt-cube
45×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
22×add-sqr-sqrt
18×associate-*r*
15×add-cube-cbrt *-un-lft-identity
14×times-frac associate-*l*
13×pow1
5×pow-prod-down
4×associate-*r/ sqrt-prod div-inv add-log-exp unswap-sqr
3×cbrt-prod *-commutative associate-/l*
1×frac-times frac-2neg associate-*l/ clear-num associate-/r*
Counts
4 → 134
Calls
4 calls:
62.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
46.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
27.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series343.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
79.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
73.0ms
(* (sqrt t) (/ x (* z y)))
23.0ms
(/ x (* z y))

simplify1.4s

Counts
146 → 146
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02683616
17553486
235702386
done50002046

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ (/ x z) y)))) (cbrt 1.0)) (cbrt 3.0)))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ (/ x z) y)))
3.0b
(* (sqrt t) (/ (/ x z) y))
5.2b
(/ (/ x z) y)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
155×times-frac
109×add-sqr-sqrt
101×add-exp-log
88×add-cube-cbrt *-un-lft-identity
62×add-cbrt-cube
54×associate-*r*
42×prod-exp cbrt-unprod
31×cbrt-undiv div-exp
14×associate-*l*
13×pow1 associate-/l*
11×div-inv
8×unswap-sqr
6×sqrt-prod
5×pow-prod-down
4×associate-*r/ add-log-exp
3×cbrt-prod associate-/r* *-commutative
1×frac-times frac-2neg associate-*l/ clear-num associate-/l/
Counts
4 → 223
Calls
4 calls:
62.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ (/ x z) y)))) (cbrt 1.0)) (cbrt 3.0)))
39.0ms
(* 0.05555555555555555 (* (sqrt t) (/ (/ x z) y)))
34.0ms
(* (sqrt t) (/ (/ x z) y))
11.0ms
(/ (/ x z) y)

series333.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ (/ x z) y)))) (cbrt 1.0)) (cbrt 3.0)))
74.0ms
(* 0.05555555555555555 (* (sqrt t) (/ (/ x z) y)))
75.0ms
(* (sqrt t) (/ (/ x z) y))
21.0ms
(/ (/ x z) y)

simplify1.7s

Counts
235 → 235
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04134844
110954614
245763500
done50003160

prune783.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02129
12629
done2629

end0.0ms

sample2.5s

Algorithm
intervals
Results
1000.0ms23524×body80nan
383.0ms8000×body80valid