Details

Time bar (total: 25.1s)

sample227.0ms

Algorithm
intervals
Results
77.0ms789×body80nan
28.0ms256×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
350019
4229519
done500119

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite216.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 132
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
29.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
128.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series269.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ x (* y 27.0))
25.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
151.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
61.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.5s

Counts
144 → 144
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02562759
17352643
244072121
done50002055

prune467.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l*
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 201
Calls
4 calls:
42.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
15.0ms
(/ (cbrt 1.0) (cbrt 3.0))
135.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
48.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series321.0ms

Counts
4 → 10
Calls
4 calls:
153.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
126.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.8s

Counts
211 → 211
Iterations

Useful iterations: 2 (698.0ms)

IterNodesCost
03074109
18303954
248333450
done50013450

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.2b
(* (sqrt t) (/ x (* z y)))
5.7b
(/ x (* z y))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
34×add-cbrt-cube
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
12×times-frac
11×pow1
9×associate-*l*
8×cbrt-undiv div-exp associate-*r*
7×associate-/r*
6×cbrt-prod
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u associate-/l* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 110
Calls
4 calls:
24.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
104.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
31.0ms
(* (sqrt t) (/ x (* z y)))
10.0ms
(/ x (* z y))

series851.0ms

Counts
4 → 12
Calls
4 calls:
609.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
100.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
102.0ms
(* (sqrt t) (/ x (* z y)))
39.0ms
(/ x (* z y))

simplify1.3s

Counts
122 → 122
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02061801
15301733
224181483
done50011461

prune720.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.0b
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt (cbrt 3.0)))
3.2b
(* (sqrt t) (/ x (* z y)))
5.7b
(/ x (* z y))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
34×add-exp-log add-cbrt-cube
33×add-cube-cbrt *-un-lft-identity times-frac
28×sqrt-prod
13×prod-exp cbrt-unprod
12×cbrt-prod
11×pow1
10×associate-/r*
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp
6×associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 135
Calls
4 calls:
60.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
26.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt (cbrt 3.0)))
71.0ms
(* (sqrt t) (/ x (* z y)))
18.0ms
(/ x (* z y))

series564.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
238.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt (cbrt 3.0)))
140.0ms
(* (sqrt t) (/ x (* z y)))
46.0ms
(/ x (* z y))

simplify1.2s

Counts
147 → 147
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02452624
15552511
225072292
done50012270

prune885.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes462.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02129
12629
done2629

end0.0ms

sample6.6s

Algorithm
intervals
Results
3.2s24053×body80nan
1.5s8000×body80valid