Details

Time bar (total: 25.3s)

sample237.0ms

Algorithm
intervals
Results
123.0ms734×body80nan
64.0ms256×body80valid

simplify5.4s

Counts
1 → 1
Iterations
IterNodes
done5001
41551
3412
2119
138
018

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize63.0ms

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))))
2.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite202.0ms

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 insert-posit16 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 → 134
Calls
4 calls:
30.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 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))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series226.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
29.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
128.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
50.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
146 → 146
Iterations
IterNodes
done5173
23325
1722
0256

prune669.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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))
2.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite116.0ms

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 insert-posit16 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 → 156
Calls
4 calls:
10.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
81.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
17.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series290.0ms

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))
143.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.7s

Counts
166 → 166
Iterations
IterNodes
done5073
23204
1745
0273

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.2b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
2.4b
(/ x (* z y))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×*-un-lft-identity add-cube-cbrt
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×pow-prod-down insert-posit16 add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×clear-num frac-2neg associate-*l/ *-commutative
1×associate-*r/
Counts
4 → 132
Calls
4 calls:
11.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
41.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
11.0ms
(/ x (* z y))

series210.0ms

Counts
4 → 10
Calls
4 calls:
86.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
101.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
23.0ms
(/ x (* z y))

simplify1.8s

Counts
142 → 142
Iterations
IterNodes
done5001
21901
1559
0230

prune629.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
142×add-cbrt-cube add-exp-log
57×prod-exp cbrt-unprod
48×cbrt-undiv div-exp
11×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×pow1 associate-*r*
5×associate-*l*
4×times-frac sqrt-prod insert-posit16 div-inv add-log-exp
3×clear-num associate-/r* frac-2neg associate-*r/ associate-/l* associate-/l/
2×unswap-sqr
1×pow-prod-down associate-*l/ *-commutative
Counts
4 → 135
Calls
4 calls:
71.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
19.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
17.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series255.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
38.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
51.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.5s

Counts
147 → 147
Iterations
IterNodes
done5016
22488
1506
0162

prune904.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes460.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample7.2s

Algorithm
intervals
Results
4.3s23806×body80nan
1.3s8000×body80valid