Details

Time bar (total: 40.8s)

sample275.0ms

Algorithm
intervals
Results
137.0ms770×body80nan
39.0ms256×body80valid

simplify7.2s

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize141.0ms

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))))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite369.0ms

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:
84.0ms
(* 3.0 (/ x (* y 27.0)))
34.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
166.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
74.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series368.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (/ x (* y 27.0)))
72.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
205.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
59.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify6.5s

Counts
146 → 146
Iterations
IterNodes
done5436
23433
1751
0256

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize203.0ms

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))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite307.0ms

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:
41.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
14.0ms
(/ 1.0 (cbrt 3.0))
191.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series378.0ms

Counts
4 → 10
Calls
4 calls:
155.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
177.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
46.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify6.5s

Counts
166 → 166
Iterations
IterNodes
done5241
23265
1774
0273

prune2.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.5b
(* (sqrt t) (/ x (* z y)))
6.6b
(/ x (* z y))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 *-un-lft-identity add-cube-cbrt
12×associate-*l*
11×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×sqrt-prod insert-posit16 add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×clear-num associate-/r* frac-2neg
Counts
4 → 97
Calls
4 calls:
14.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
116.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
78.0ms
(* (sqrt t) (/ x (* z y)))
36.0ms
(/ x (* z y))

series360.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
155.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
122.0ms
(* (sqrt t) (/ x (* z y)))
33.0ms
(/ x (* z y))

simplify3.7s

Counts
109 → 109
Iterations
IterNodes
done5000
21551
1447
0171

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes2.2s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify24.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample6.3s

Algorithm
intervals
Results
3.8s23769×body80nan
989.0ms8000×body80valid