Details

Time bar (total: 20.6s)

sample168.0ms

Algorithm
intervals
Results
81.0ms789×body80nan
23.0ms256×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
13819
212219
350019
4229519
done500119

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
14.0ms
(/ x (* y 27.0))
22.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
113.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series234.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ x (* y 27.0))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
145.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.0s

Counts
136 → 136
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02482653
17232537
243672015
done50021949

prune489.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
29.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
9.0ms
(/ 1.0 (cbrt 3.0))
115.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series291.0ms

Counts
4 → 10
Calls
4 calls:
106.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
137.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
48.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.3s

Counts
162 → 162
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02693119
17682985
245302483
done50012435

prune565.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.2b
(* (sqrt t) (/ x (* z y)))
5.7b
(/ x (* z y))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
33×add-cbrt-cube
30×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
24×times-frac
13×prod-exp cbrt-unprod
12×cbrt-prod
11×pow1
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp associate-/r*
6×associate-/l*
4×pow-prod-down sqrt-prod add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 115
Calls
4 calls:
16.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
77.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
25.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series282.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
97.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
81.0ms
(* (sqrt t) (/ x (* z y)))
27.0ms
(/ x (* z y))

simplify1.1s

Counts
127 → 127
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02112098
15042022
222181806
done50011788

prune474.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

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)))
3.2b
(* (sqrt t) (/ x (* z y)))
5.7b
(/ x (* z y))

rewrite136.0ms

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:
52.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
15.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt (sqrt 3.0)))
43.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

series508.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
262.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt (sqrt 3.0)))
107.0ms
(* (sqrt t) (/ x (* z y)))
23.0ms
(/ x (* z y))

simplify1.7s

Counts
139 → 139
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02352534
15372427
224152209
done50012191

prune598.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes356.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02024
12724
done2724

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.6s24053×body80nan
1.1s8000×body80valid