Details

Time bar (total: 12.1s)

sample88.0ms

Algorithm
intervals
Results
40.0ms849×body80nan
12.0ms256×body80valid

simplify804.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
211919
346519
4200019
done500019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize14.0ms

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))))
2.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite68.0ms

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:
9.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
32.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series155.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
92.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.1s

Counts
150 → 150
Iterations

Useful iterations: 2 (361.0ms)

IterNodesCost
02602872
17502749
235852131
done50012131

prune357.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))
2.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite76.0ms

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:
19.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ (sqrt 1.0) (cbrt 3.0))
34.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series230.0ms

Counts
4 → 10
Calls
4 calls:
111.0ms
(* (/ (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))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.0s

Counts
211 → 211
Iterations

Useful iterations: 2 (365.0ms)

IterNodesCost
03034123
18043942
234723370
done50003370

prune691.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
2.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.0b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
103×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
55×prod-exp cbrt-unprod
45×associate-*l* sqrt-prod
41×cbrt-prod
22×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
Counts
4 → 208
Calls
4 calls:
20.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
4.0ms
(/ (sqrt 1.0) (cbrt 3.0))
47.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
12.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series237.0ms

Counts
4 → 10
Calls
4 calls:
110.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
98.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
29.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify1.2s

Counts
218 → 218
Iterations

Useful iterations: 2 (415.0ms)

IterNodesCost
03104330
18384125
238483461
done50013461

prune693.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
2.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.0b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
103×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
55×prod-exp cbrt-unprod
45×associate-*l* sqrt-prod
41×cbrt-prod
22×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
Counts
4 → 208
Calls
4 calls:
23.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
4.0ms
(/ (sqrt 1.0) (cbrt 3.0))
44.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
12.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series239.0ms

Counts
4 → 10
Calls
4 calls:
113.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
97.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
29.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify1.2s

Counts
218 → 218
Iterations

Useful iterations: 2 (408.0ms)

IterNodesCost
03104345
18384140
238483476
done50013476

prune771.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes608.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02532
13232
done3232

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23746×body80nan
407.0ms8000×body80valid