Details

Time bar (total: 19.1s)

sample191.0ms

Algorithm
intervals
Results
85.0ms749×body80nan
27.0ms256×body80valid

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done5000
42302
3500
2122
138
018

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize52.0ms

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))))
2.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
88×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×*-un-lft-identity add-cube-cbrt
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
11.0ms
(/ x (* y 27.0))
23.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
78.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series252.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (* y 27.0))
38.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
139.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
51.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.0s

Counts
136 → 136
Iterations
IterNodes
done5001
24369
1723
0248

prune616.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ x y) 27.0)
0.3b
(* 3.0 (/ (/ x y) 27.0))
3.1b
(* (sqrt t) (* 3.0 (/ (/ x y) 27.0)))
5.6b
(/ (/ (* (sqrt t) (* 3.0 (/ (/ x y) 27.0))) 2.0) z)

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
177×times-frac
109×add-sqr-sqrt
100×*-un-lft-identity add-cube-cbrt
59×add-cbrt-cube add-exp-log
44×associate-*r*
23×cbrt-undiv div-exp
20×associate-/l*
17×prod-exp cbrt-unprod
14×div-inv
11×pow1
9×associate-*l*
6×associate-/r*
4×pow-prod-down add-log-exp
3×associate-*r/ sqrt-prod unswap-sqr
2×clear-num frac-2neg *-commutative associate-/l/
Counts
4 → 215
Calls
4 calls:
17.0ms
(/ (/ x y) 27.0)
52.0ms
(* 3.0 (/ (/ x y) 27.0))
63.0ms
(* (sqrt t) (* 3.0 (/ (/ x y) 27.0)))
55.0ms
(/ (/ (* (sqrt t) (* 3.0 (/ (/ x y) 27.0))) 2.0) z)

series247.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (/ x y) 27.0)
22.0ms
(* 3.0 (/ (/ x y) 27.0))
77.0ms
(* (sqrt t) (* 3.0 (/ (/ x y) 27.0)))
122.0ms
(/ (/ (* (sqrt t) (* 3.0 (/ (/ x y) 27.0))) 2.0) z)

simplify520.0ms

Counts
227 → 227
Iterations
IterNodes
done5001
11179
0417

prune2.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 27.0 y) z)
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))))
2.5b
(* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))
5.7b
(/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0))

rewrite414.0ms

Algorithm
rewrite-expression-head
Rules
88×add-cbrt-cube add-exp-log
46×prod-exp cbrt-unprod
25×add-sqr-sqrt
19×associate-*l*
17×cbrt-undiv div-exp
16×*-un-lft-identity add-cube-cbrt
13×pow1
12×times-frac associate-*r*
5×pow-prod-down
4×sqrt-prod add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 120
Calls
4 calls:
21.0ms
(* (* 27.0 y) z)
12.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))))
318.0ms
(* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))
54.0ms
(/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0))

series247.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 27.0 y) z)
30.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))))
143.0ms
(* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))
54.0ms
(/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0))

simplify508.0ms

Counts
132 → 132
Iterations
IterNodes
done5000
1715
0237

prune691.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes277.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done29
129
023

end0.0ms

sample6.6s

Algorithm
intervals
Results
3.2s23959×body80nan
1.5s8000×body80valid