Details

Time bar (total: 6.3s)

sample86.0ms

Algorithm
intervals
Results
29.0ms728×body80nan
15.0ms256×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110
done500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite114.0ms

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:
7.0ms
(/ x (* y 27.0))
13.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
65.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series160.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify90.0ms

Counts
136 → 136
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07221318
139171017
250011015
done50011015

prune284.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite127.0ms

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:
24.0ms
(* (/ (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))
67.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series231.0ms

Counts
4 → 10
Calls
4 calls:
108.0ms
(* (/ (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))
95.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify115.0ms

Counts
203 → 203
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08002223
142361926
250031924
done50031924

prune768.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.6b
(* (sqrt t) (/ x (* z y)))
4.5b
(/ x (* z y))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
34×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:
10.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
43.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
26.0ms
(* (sqrt t) (/ x (* z y)))
7.0ms
(/ x (* z y))

series271.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
75.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
69.0ms
(* (sqrt t) (/ x (* z y)))
22.0ms
(/ x (* z y))

simplify60.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0501910
12286783
25001773
done5001773

prune379.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.6b
(* (sqrt t) (/ x (* z y)))
4.1b
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
4.5b
(/ x (* z y))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
13×prod-exp cbrt-unprod
12×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
5×add-log-exp
4×pow-prod-down sqrt-prod
3×log-prod associate-*r/ log-pow associate-/l*
2×*-commutative div-inv unswap-sqr
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num associate-/r*
Counts
4 → 89
Calls
4 calls:
44.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
22.0ms
(* (sqrt t) (/ x (* z y)))
4.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
7.0ms
(/ x (* z y))

series237.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
69.0ms
(* (sqrt t) (/ x (* z y)))
73.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
21.0ms
(/ x (* z y))

simplify54.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0407683
11911567
25001549
done5001549

prune352.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes244.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02820
12820
done2820

end0.0ms

sample2.4s

Algorithm
intervals
Results
993.0ms23947×body80nan
370.0ms8000×body80valid