Details

Time bar (total: 21.4s)

sample156.0ms

Algorithm
intervals
Results
72.0ms793×body80nan
20.0ms256×body80valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize24.0ms

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))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite184.0ms

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:
10.0ms
(/ x (* y 27.0))
23.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
111.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series200.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ x (* y 27.0))
22.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
126.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.5s

Counts
136 → 136
Iterations

Useful iterations: 2 (506.0ms)

IterNodesCost
02482653
16762537
230051945
done50001945

prune461.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite163.0ms

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:
19.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ 1.0 (cbrt 3.0))
102.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series284.0ms

Counts
4 → 10
Calls
4 calls:
110.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
133.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.6s

Counts
162 → 162
Iterations

Useful iterations: 2 (596.0ms)

IterNodesCost
02693119
17092985
230602415
done50012415

prune685.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

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))))
3.3b
(* (sqrt t) (/ x (* z y)))
4.3b
(/ x (* z y))

rewrite151.0ms

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))
79.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
36.0ms
(* (sqrt t) (/ x (* z y)))
13.0ms
(/ x (* z y))

series265.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
81.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
89.0ms
(* (sqrt t) (/ x (* z y)))
32.0ms
(/ x (* z y))

simplify1.3s

Counts
127 → 127
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02112098
14832008
217401788
done50011760

prune460.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

5.2b
(/ (* 3.0 (* (* (cbrt (/ x (* y 27.0))) (cbrt (/ x (* y 27.0)))) (cbrt (/ x (* y 27.0))))) (* z 2.0))
15.8b
(cbrt (/ x (* y 27.0)))
15.8b
(cbrt (/ x (* y 27.0)))
15.8b
(cbrt (/ x (* y 27.0)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
28×add-cbrt-cube
21×cbrt-prod
16×prod-exp cbrt-unprod
15×cbrt-div
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-*r/
8×cbrt-undiv div-exp
7×associate-/l/
5×frac-times associate-*l/
4×pow1 div-inv add-log-exp
3×pow1/3
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 84
Calls
4 calls:
158.0ms
(/ (* 3.0 (* (* (cbrt (/ x (* y 27.0))) (cbrt (/ x (* y 27.0)))) (cbrt (/ x (* y 27.0))))) (* z 2.0))
6.0ms
(cbrt (/ x (* y 27.0)))
5.0ms
(cbrt (/ x (* y 27.0)))
5.0ms
(cbrt (/ x (* y 27.0)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ (* 3.0 (* (* (cbrt (/ x (* y 27.0))) (cbrt (/ x (* y 27.0)))) (cbrt (/ x (* y 27.0))))) (* z 2.0))
126.0ms
(cbrt (/ x (* y 27.0)))
150.0ms
(cbrt (/ x (* y 27.0)))
107.0ms
(cbrt (/ x (* y 27.0)))

simplify1.2s

Counts
96 → 96
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01421860
13571809
219371113
done5000973

prune451.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02024
12724
done2724

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.6s23876×body80nan
1.5s8000×body80valid