Details

Time bar (total: 22.1s)

sample246.0ms

Algorithm
intervals
Results
127.0ms843×body80nan
28.0ms256×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize18.0ms

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))

rewrite150.0ms

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)))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
75.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series185.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (/ x (* y 27.0)))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
108.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.5s

Counts
142 → 142
Iterations

Useful iterations: 2 (570.0ms)

IterNodesCost
02522762
16942639
230882021
done50012021

prune449.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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

rewrite187.0ms

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:
28.0ms
(* (/ (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))
107.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series302.0ms

Counts
4 → 10
Calls
4 calls:
136.0ms
(* (/ (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))
133.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.6s

Counts
203 → 203
Iterations

Useful iterations: 2 (593.0ms)

IterNodesCost
02954013
17483832
231513260
done50003260

prune792.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0)))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.6b
(* (sqrt t) (/ x (* z y)))
4.1b
(/ x (* z y))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
56×add-cbrt-cube
28×prod-exp cbrt-unprod
27×add-sqr-sqrt
20×times-frac
19×associate-*l*
18×cbrt-undiv div-exp associate-*r*
17×add-cube-cbrt *-un-lft-identity
13×pow1
8×sqrt-prod
5×pow-prod-down unswap-sqr
4×associate-*r/ div-inv add-log-exp
3×cbrt-prod *-commutative associate-/l*
1×frac-times frac-2neg associate-*l/ clear-num associate-/r*
Counts
4 → 128
Calls
4 calls:
71.0ms
(* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0)))
57.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
37.0ms
(* (sqrt t) (/ x (* z y)))
22.0ms
(/ x (* z y))

series473.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0)))
100.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
96.0ms
(* (sqrt t) (/ x (* z y)))
31.0ms
(/ x (* z y))

simplify1.4s

Counts
140 → 140
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02603055
17092895
229622141
done50001996

prune441.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.6b
(* (sqrt t) (/ x (* z y)))
4.1b
(/ x (* z y))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×prod-exp cbrt-unprod
11×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
4×pow-prod-down sqrt-prod add-log-exp
3×associate-*r/ associate-/l*
2×*-commutative div-inv unswap-sqr
1×acos-asin frac-2neg clear-num associate-/r*
Counts
4 → 83
Calls
4 calls:
1.0ms
(acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))
68.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
27.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series212.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))
91.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
83.0ms
(* (sqrt t) (/ x (* z y)))
30.0ms
(/ x (* z y))

simplify1.2s

Counts
95 → 95
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01521241
13921172
21549980
done5000952

prune236.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes324.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02026
12526
done2526

end0.0ms

sample6.0s

Algorithm
intervals
Results
3.2s24057×body80nan
977.0ms8000×body80valid