Details

Time bar (total: 22.2s)

sample119.0ms

Algorithm
intervals
Results
53.0ms700×body80nan
20.0ms256×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
018458
138458
2119458
3412458
41551458
done5001458

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize36.0ms

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))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite157.0ms

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:
23.0ms
(* 3.0 (/ x (* y 27.0)))
18.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
78.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series193.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
112.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.9s

Counts
142 → 142
Iterations

Useful iterations: done (2.9s)

IterNodesCost
025256233
172950758
2330148115
done500645995

prune606.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize53.0ms

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))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite133.0ms

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:
23.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ 1.0 (cbrt 3.0))
71.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series260.0ms

Counts
4 → 10
Calls
4 calls:
100.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
125.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify3.6s

Counts
162 → 162
Iterations

Useful iterations: done (3.6s)

IterNodesCost
026971846
175066076
2317563874
done505161994

prune819.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.05555555555555555 (/ x (* z y)))
1.0b
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
3.2b
(/ x (* z y))
4.9b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
26×add-sqr-sqrt
19×*-un-lft-identity add-cube-cbrt
17×associate-*l*
16×times-frac associate-*r*
15×prod-exp cbrt-unprod
13×pow1
7×cbrt-undiv div-exp
5×pow-prod-down
4×add-log-exp
3×*-commutative sqrt-prod div-inv associate-/l* unswap-sqr
2×associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg
Counts
4 → 106
Calls
4 calls:
23.0ms
(* 0.05555555555555555 (/ x (* z y)))
16.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
12.0ms
(/ x (* z y))
59.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

series223.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 0.05555555555555555 (/ x (* z y)))
26.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
23.0ms
(/ x (* z y))
134.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))

simplify2.5s

Counts
118 → 118
Iterations

Useful iterations: done (2.5s)

IterNodesCost
020134437
152332242
2201131160
done500030720

prune584.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes643.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
023659
131659
done31659

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.7s23303×body80nan
796.0ms8000×body80valid