Details

Time bar (total: 19.4s)

sample177.0ms

Algorithm
intervals
Results
93.0ms686×body80nan
25.0ms256×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
018458
138458
2122458
3500458
42302458
done5000458

prune6.0ms

Pruning

1 alts after pruning (1 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))))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite117.0ms

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:
17.0ms
(* 3.0 (/ x (* y 27.0)))
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
61.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
18.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series275.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 3.0 (/ x (* y 27.0)))
33.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
155.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
50.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.7s

Counts
142 → 142
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
025256233
174750758
2472948275
done500148275

prune644.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize49.0ms

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))

rewrite155.0ms

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:
17.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
100.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series277.0ms

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))
135.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.9s

Counts
162 → 162
Iterations

Useful iterations: done (2.8s)

IterNodesCost
026971846
176866076
2453562394
done500062314

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

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))

rewrite88.0ms

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:
45.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
30.0ms
(* (sqrt t) (/ x (* z y)))
10.0ms
(/ x (* z y))

series237.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
96.0ms
(* (sqrt t) (/ x (* z y)))
24.0ms
(/ x (* z y))

simplify1.4s

Counts
84 → 84
Iterations

Useful iterations: done (1.4s)

IterNodesCost
013822614
138919577
2187118576
done500117856

prune428.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes821.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
023659
131659
done31659

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.6s23583×body80nan
835.0ms8000×body80valid