Details

Time bar (total: 19.5s)

sample511.0ms

Algorithm
intervals
Results
420.0ms686×body80nan
22.0ms256×body80valid

simplify3.4s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize37.0ms

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))))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite174.0ms

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:
31.0ms
(* 3.0 (/ x (* y 27.0)))
22.0ms
(* (/ 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))
20.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series223.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 3.0 (/ x (* y 27.0)))
31.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
122.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
142 → 142
Iterations
IterNodes
done5001
24729
1747
0252

prune840.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize56.0ms

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))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 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×*-un-lft-identity add-cube-cbrt
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×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
26.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ 1.0 (cbrt 3.0))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series303.0ms

Counts
4 → 10
Calls
4 calls:
113.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
146.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
43.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.2s

Counts
162 → 162
Iterations
IterNodes
done5000
24535
1768
0269

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.3b
(* (sqrt t) (/ x (* z y)))
5.1b
(/ x (* z y))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
31×add-cbrt-cube add-exp-log
14×add-sqr-sqrt
13×prod-exp cbrt-unprod
10×pow1 *-un-lft-identity add-cube-cbrt
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
4×pow-prod-down sqrt-prod
3×associate-*r/ associate-/l* add-log-exp
2×*-commutative div-inv unswap-sqr
1×clear-num associate-/r* frac-2neg
Counts
3 → 75
Calls
3 calls:
62.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
28.0ms
(* (sqrt t) (/ x (* z y)))
6.0ms
(/ x (* z y))

series238.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
99.0ms
(* (sqrt t) (/ x (* z y)))
32.0ms
(/ x (* z y))

simplify1.3s

Counts
84 → 84
Iterations
IterNodes
done5001
21871
1389
0138

prune418.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes641.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.7s23583×body80nan
1.2s8000×body80valid