Details

Time bar (total: 19.3s)

sample165.0ms

Algorithm
intervals
Results
79.0ms765×body80nan
21.0ms256×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
13819
212219
350019
4229519
done500119

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
8.0ms
(/ x (* y 27.0))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
76.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series212.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ x (* y 27.0))
28.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
122.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.5s

Counts
136 → 136
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02482653
17232537
243672015
done50021949

prune327.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))))
3.7b
(/ x (* z y))
3.9b
(* (sqrt t) (/ x (* z y)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×sqrt-prod add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×frac-2neg clear-num associate-/r*
Counts
4 → 93
Calls
4 calls:
9.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
52.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
13.0ms
(/ x (* z y))
26.0ms
(* (sqrt t) (/ x (* z y)))

series288.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
110.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
37.0ms
(/ x (* z y))
109.0ms
(* (sqrt t) (/ x (* z y)))

simplify1.1s

Counts
105 → 105
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01701437
14561379
220711163
done50001143

prune329.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ x (* z y))
3.7b
(/ x (* z y))
3.9b
(* (sqrt t) (/ x (* z y)))
3.9b
(* (sqrt t) (/ x (* z y)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
14×associate-*r*
12×times-frac associate-*l*
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp sqrt-prod
6×associate-/l*
4×div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 104
Calls
4 calls:
8.0ms
(/ x (* z y))
8.0ms
(/ x (* z y))
36.0ms
(* (sqrt t) (/ x (* z y)))
38.0ms
(* (sqrt t) (/ x (* z y)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ x (* z y))
22.0ms
(/ x (* z y))
107.0ms
(* (sqrt t) (/ x (* z y)))
108.0ms
(* (sqrt t) (/ x (* z y)))

simplify957.0ms

Counts
116 → 116
Iterations

Useful iterations: done (953.0ms)

IterNodesCost
01151266
13201210
214781042
done50001002

prune438.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))
3.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite147.0ms

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))
76.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series297.0ms

Counts
4 → 10
Calls
4 calls:
132.0ms
(* (/ (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))
126.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
203 → 203
Iterations

Useful iterations: 2 (472.0ms)

IterNodesCost
02954013
18083832
248273328
done50003328

prune817.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02026
12526
done2526

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.0s23798×body80nan
871.0ms8000×body80valid