Details

Time bar (total: 16.9s)

sample123.0ms

Algorithm
intervals
Results
57.0ms686×body80nan
19.0ms256×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
42302
3500
2122
138
018

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize39.0ms

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))))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×*-un-lft-identity add-cube-cbrt
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-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
4 → 138
Calls
4 calls:
19.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
70.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series226.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (/ x (* y 27.0)))
28.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
139.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.9s

Counts
150 → 150
Iterations
IterNodes
done5002
24737
1759
0260

prune833.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt 1.0) (acos (/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))))) (cbrt 3.0))
0.3b
(/ (* 3.0 x) (* y 27.0))
3.2b
(/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))
4.6b
(/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
115×add-exp-log
113×add-cbrt-cube
53×cbrt-undiv div-exp
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
33×sqrt-prod
31×prod-exp cbrt-unprod
22×associate-/r*
20×div-inv
9×associate-/r/ associate-/l*
6×cbrt-prod
4×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
Counts
4 → 207
Calls
4 calls:
10.0ms
(/ (* (sqrt 1.0) (acos (/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))))) (cbrt 3.0))
15.0ms
(/ (* 3.0 x) (* y 27.0))
19.0ms
(/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))
16.0ms
(/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (* (sqrt 1.0) (acos (/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))))) (cbrt 3.0))
29.0ms
(/ (* 3.0 x) (* y 27.0))
125.0ms
(/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))
32.0ms
(/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))

simplify433.0ms

Counts
219 → 219
Iterations
IterNodes
done5001
11079
0373

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y 27.0) (* z 2.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* y 27.0) (* z 2.0))) (sqrt t))))
2.4b
(* (/ (* 3.0 x) (* (* y 27.0) (* z 2.0))) (sqrt t))
5.2b
(/ (* 3.0 x) (* (* y 27.0) (* z 2.0)))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
115×add-cbrt-cube add-exp-log
63×prod-exp cbrt-unprod
24×add-sqr-sqrt
21×cbrt-undiv div-exp
20×pow1
19×associate-*l*
15×*-un-lft-identity add-cube-cbrt
12×times-frac
10×associate-*r* pow-prod-down
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 140
Calls
4 calls:
27.0ms
(* (* y 27.0) (* z 2.0))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* y 27.0) (* z 2.0))) (sqrt t))))
143.0ms
(* (/ (* 3.0 x) (* (* y 27.0) (* z 2.0))) (sqrt t))
40.0ms
(/ (* 3.0 x) (* (* y 27.0) (* z 2.0)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* y 27.0) (* z 2.0))
25.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* y 27.0) (* z 2.0))) (sqrt t))))
166.0ms
(* (/ (* 3.0 x) (* (* y 27.0) (* z 2.0))) (sqrt t))
50.0ms
(/ (* 3.0 x) (* (* y 27.0) (* z 2.0)))

simplify527.0ms

Counts
152 → 152
Iterations
IterNodes
done5000
1752
0249

prune643.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes415.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done28
128
023

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.4s23583×body80nan
926.0ms8000×body80valid