Details

Time bar (total: 25.5s)

sample195.0ms

Algorithm
intervals
Results
69.0ms830×body80nan
51.0ms256×body80valid

simplify3.6s

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

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize44.0ms

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))))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×*-un-lft-identity add-cube-cbrt
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-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
4 → 130
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
90.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series224.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3.0 (/ x (* y 27.0)))
39.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
123.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
142 → 142
Iterations
IterNodes
done5001
24729
1747
0252

prune838.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
2.6b
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
4.9b
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×*-un-lft-identity add-cube-cbrt
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
3×associate-*l/
2×clear-num frac-2neg pow-prod-down *-commutative
1×associate-/l/
Counts
4 → 193
Calls
4 calls:
25.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))))
6.0ms
(/ (cbrt 1.0) (cbrt 3.0))
94.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
33.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

series263.0ms

Counts
4 → 10
Calls
4 calls:
113.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
117.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
33.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

simplify1.8s

Counts
203 → 203
Iterations
IterNodes
done5001
24882
1822
0301

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* (/ (/ x z) (* y 27.0)) (/ 3.0 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
2.6b
(* (* (/ (/ x z) (* y 27.0)) (/ 3.0 2.0)) (sqrt t))
3.7b
(/ (/ x z) (* y 27.0))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
107×times-frac
88×add-sqr-sqrt
82×cbrt-prod
76×add-exp-log
74×*-un-lft-identity add-cube-cbrt
72×add-cbrt-cube
41×associate-*l*
29×prod-exp cbrt-unprod
25×cbrt-undiv div-exp
19×associate-/l*
11×pow1
9×associate-*r*
7×associate-/r*
5×associate-*l/ div-inv unswap-sqr
4×pow-prod-down add-log-exp
3×sqrt-prod
2×clear-num frac-2neg *-commutative
1×frac-times associate-*r/ associate-/l/
Counts
4 → 210
Calls
4 calls:
40.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* (/ (/ x z) (* y 27.0)) (/ 3.0 2.0)) (sqrt t))))
11.0ms
(/ (cbrt 1.0) (cbrt 3.0))
116.0ms
(* (* (/ (/ x z) (* y 27.0)) (/ 3.0 2.0)) (sqrt t))
18.0ms
(/ (/ x z) (* y 27.0))

series384.0ms

Counts
4 → 10
Calls
4 calls:
170.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* (/ (/ x z) (* y 27.0)) (/ 3.0 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
164.0ms
(* (* (/ (/ x z) (* y 27.0)) (/ 3.0 2.0)) (sqrt t))
50.0ms
(/ (/ x z) (* y 27.0))

simplify553.0ms

Counts
220 → 220
Iterations
IterNodes
done5000
1963
0369

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (* (sqrt t) (/ 3.0 2.0)) (/ (/ x z) (* y 27.0)))
2.6b
(* (* (sqrt t) (/ 3.0 2.0)) (/ (/ x z) (* y 27.0)))
3.7b
(/ (/ x z) (* y 27.0))
3.7b
(/ (/ x z) (* y 27.0))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
166×add-cbrt-cube add-exp-log
106×times-frac
66×prod-exp cbrt-unprod
58×cbrt-undiv div-exp
48×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
34×associate-*r*
26×associate-/l*
14×pow1
10×div-inv
6×pow-prod-down associate-*r/
4×add-log-exp
2×frac-times clear-num associate-/r* frac-2neg associate-*l* associate-*l/ *-commutative associate-/l/
Counts
4 → 214
Calls
4 calls:
62.0ms
(* (* (sqrt t) (/ 3.0 2.0)) (/ (/ x z) (* y 27.0)))
78.0ms
(* (* (sqrt t) (/ 3.0 2.0)) (/ (/ x z) (* y 27.0)))
16.0ms
(/ (/ x z) (* y 27.0))
11.0ms
(/ (/ x z) (* y 27.0))

series286.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* (sqrt t) (/ 3.0 2.0)) (/ (/ x z) (* y 27.0)))
81.0ms
(* (* (sqrt t) (/ 3.0 2.0)) (/ (/ x z) (* y 27.0)))
52.0ms
(/ (/ x z) (* y 27.0))
37.0ms
(/ (/ x z) (* y 27.0))

simplify1.9s

Counts
226 → 226
Iterations
IterNodes
done5000
24507
1752
0235

prune2.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes337.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done31
131
026

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.4s23982×body80nan
1.0s8000×body80valid