Details

Time bar (total: 19.5s)

sample189.0ms

Algorithm
intervals
Results
87.0ms765×body80nan
26.0ms256×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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×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:
8.0ms
(/ x (* y 27.0))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
79.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series205.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ x (* y 27.0))
25.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
120.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
144 → 144
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02562759
17352643
244072121
done50002055

prune546.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite157.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×frac-2neg clear-num associate-/r*
Counts
4 → 101
Calls
4 calls:
11.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
88.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
13.0ms
(/ x (* z y))
42.0ms
(* (sqrt t) (/ x (* z y)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
108.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
28.0ms
(/ x (* z y))
116.0ms
(* (sqrt t) (/ x (* z y)))

simplify1.6s

Counts
113 → 113
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01781517
14691459
220891243
done50001219

prune360.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite106.0ms

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×expm1-log1p-u log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 112
Calls
4 calls:
11.0ms
(/ x (* z y))
11.0ms
(/ x (* z y))
43.0ms
(* (sqrt t) (/ x (* z y)))
38.0ms
(* (sqrt t) (/ x (* z y)))

series235.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ x (* z y))
32.0ms
(/ x (* z y))
89.0ms
(* (sqrt t) (/ x (* z y)))
83.0ms
(* (sqrt t) (/ x (* z y)))

simplify940.0ms

Counts
124 → 124
Iterations

Useful iterations: done (935.0ms)

IterNodesCost
01191326
13291270
215181102
done50001060

prune535.0ms

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))

rewrite172.0ms

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×expm1-log1p-u 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:
43.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(/ (sqrt 1.0) (cbrt 3.0))
78.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series358.0ms

Counts
4 → 10
Calls
4 calls:
182.0ms
(* (/ (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))
135.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.3s

Counts
211 → 211
Iterations

Useful iterations: 2 (600.0ms)

IterNodesCost
03034123
18213942
248523438
done50003438

prune754.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes108.0ms

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

sample5.2s

Algorithm
intervals
Results
2.5s23798×body80nan
1.1s8000×body80valid