Details

Time bar (total: 47.7s)

sample207.0ms

Algorithm
intervals
Results
104.0ms631×body80nan
22.0ms256×body80valid

simplify8.0s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize72.0ms

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))))
4.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite294.0ms

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×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u 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 → 142
Calls
4 calls:
33.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
191.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series310.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3.0 (/ x (* y 27.0)))
63.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
163.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
53.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify5.7s

Counts
154 → 154
Iterations
IterNodes
done5025
23303
1740
0264

prune2.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize101.0ms

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))
4.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite238.0ms

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×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u 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 → 164
Calls
4 calls:
28.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ 1.0 (cbrt 3.0))
132.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series443.0ms

Counts
4 → 10
Calls
4 calls:
159.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
211.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
73.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify5.2s

Counts
174 → 174
Iterations
IterNodes
done5095
23265
1764
0281

prune2.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize222.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite287.0ms

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×expm1-log1p-u times-frac sqrt-prod insert-posit16 log1p-expm1-u 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 → 143
Calls
4 calls:
142.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
52.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series359.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
54.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
53.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
73.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify4.2s

Counts
155 → 155
Iterations
IterNodes
done5013
22531
1519
0166

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize80.0ms

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))))
3.2b
(/ x (* z y))
4.9b
(* (sqrt t) (/ x (* z y)))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
33×add-cbrt-cube
30×add-sqr-sqrt
26×*-un-lft-identity add-cube-cbrt
24×times-frac
13×prod-exp cbrt-unprod
12×cbrt-prod
11×pow1
9×associate-*l*
8×associate-*r*
7×cbrt-undiv associate-/r* div-exp
6×associate-/l*
4×expm1-log1p-u pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r/ div-inv
2×clear-num frac-2neg *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 127
Calls
4 calls:
15.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
74.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
16.0ms
(/ x (* z y))
43.0ms
(* (sqrt t) (/ x (* z y)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
122.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
29.0ms
(/ x (* z y))
143.0ms
(* (sqrt t) (/ x (* z y)))

simplify3.3s

Counts
139 → 139
Iterations
IterNodes
done5000
21604
1506
0220

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes2.7s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations
IterNodes
done38
138
028

end0.0ms

sample6.6s

Algorithm
intervals
Results
2.8s24057×body80nan
1.9s8000×body80valid