Details

Time bar (total: 15.5s)

sample95.0ms

Algorithm
intervals
Results
36.0ms801×body80nan
13.0ms256×body80valid

simplify4.2s

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: 1.9b

localize15.0ms

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))))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite136.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 138
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
70.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series173.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
99.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.3s

Counts
150 → 150
Iterations

Useful iterations: 2 (448.0ms)

IterNodesCost
02602872
17042749
230682131
done50012131

prune371.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 160
Calls
4 calls:
19.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
6.0ms
(/ 1.0 (cbrt 3.0))
69.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series218.0ms

Counts
4 → 10
Calls
4 calls:
81.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.2s

Counts
170 → 170
Iterations

Useful iterations: 2 (452.0ms)

IterNodesCost
02773225
17193091
230552521
done50002521

prune609.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.0b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0b
(/ x (* z y))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 136
Calls
4 calls:
20.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
7.0ms
(/ 1.0 (cbrt 3.0))
54.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
12.0ms
(/ x (* z y))

series257.0ms

Counts
4 → 10
Calls
4 calls:
85.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
110.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
25.0ms
(/ x (* z y))

simplify1.0s

Counts
146 → 146
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02341999
15381929
219021713
done50011701

prune570.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.0b
(* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))
5.2b
(/ (/ x z) y)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
113×times-frac
85×add-sqr-sqrt
77×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
16×associate-/l*
11×pow1
9×associate-*r* prod-exp associate-/r* cbrt-unprod
8×cbrt-undiv div-exp
7×div-inv
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×sqrt-prod unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 185
Calls
4 calls:
19.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))))
6.0ms
(/ 1.0 (cbrt 3.0))
49.0ms
(* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))
12.0ms
(/ (/ x z) y)

series232.0ms

Counts
4 → 10
Calls
4 calls:
93.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
114.0ms
(* (* 0.05555555555555555 (/ (/ x z) y)) (sqrt t))
25.0ms
(/ (/ x z) y)

simplify1.3s

Counts
195 → 195
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03372674
17662558
222492340
done50002328

prune766.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02024
12724
done2724

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s23524×body80nan
404.0ms8000×body80valid