Details

Time bar (total: 24.5s)

sample179.0ms

Algorithm
intervals
Results
81.0ms778×body80nan
25.0ms256×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
350019
4229519
done500119

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
3.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
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-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
23.0ms
(* 3.0 (/ x (* y 27.0)))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
98.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series174.0ms

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))))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
103.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify2.6s

Counts
142 → 142
Iterations

Useful iterations: 2 (596.0ms)

IterNodesCost
02522762
17512641
247422099
done50002099

prune450.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
3.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
3.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
32.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
99.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series344.0ms

Counts
4 → 10
Calls
4 calls:
158.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
145.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify2.7s

Counts
203 → 203
Iterations

Useful iterations: 2 (638.0ms)

IterNodesCost
02954013
18123832
248783328
done50003328

prune785.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
3.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
3.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite324.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log add-cbrt-cube
66×prod-exp cbrt-unprod
48×cbrt-undiv div-exp
18×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity associate-*l*
8×pow1 sqrt-prod
4×times-frac div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
4 → 142
Calls
4 calls:
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
116.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
124.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series360.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
47.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
132.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
142.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify2.1s

Counts
154 → 154
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01603246
15323030
236052270
done50012138

prune632.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 2.0) (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
3.7b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.5b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log add-cbrt-cube
63×prod-exp cbrt-unprod
24×add-sqr-sqrt
21×cbrt-undiv div-exp
20×pow1
19×associate-*l*
15×add-cube-cbrt *-un-lft-identity
12×times-frac
10×associate-*r* pow-prod-down
4×sqrt-prod add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 132
Calls
4 calls:
44.0ms
(* (* z 2.0) (* y 27.0))
25.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
150.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
40.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* z 2.0) (* y 27.0))
29.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
142.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
48.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify3.1s

Counts
144 → 144
Iterations

Useful iterations: 2 (903.0ms)

IterNodesCost
02412954
17392809
249592111
done50012111

prune309.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes408.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02330
12930
done2930

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.2s24411×body80nan
721.0ms8000×body80valid