Details

Time bar (total: 11.9s)

sample87.0ms

Algorithm
intervals
Results
38.0ms849×body80nan
13.0ms256×body80valid

simplify771.0ms

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))

rewrite62.0ms

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×sqrt-prod 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 → 130
Calls
4 calls:
11.0ms
(* 3.0 (/ x (* y 27.0)))
7.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
29.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series151.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
90.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.0s

Counts
142 → 142
Iterations

Useful iterations: 2 (340.0ms)

IterNodesCost
02522762
17402639
235842021
done50012021

prune311.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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

rewrite71.0ms

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×sqrt-prod div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
16.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ (cbrt 1.0) (cbrt 3.0))
29.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series226.0ms

Counts
4 → 10
Calls
4 calls:
105.0ms
(* (/ (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))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.2s

Counts
203 → 203
Iterations

Useful iterations: 2 (334.0ms)

IterNodesCost
02993999
18003844
234683272
done50003272

prune746.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
101×add-cbrt-cube
82×cbrt-prod
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
55×prod-exp cbrt-unprod
45×associate-*l*
22×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×sqrt-prod div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 200
Calls
4 calls:
17.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
4.0ms
(/ (cbrt 1.0) (cbrt 3.0))
43.0ms
(* (/ (* 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:
112.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
96.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
28.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify1.1s

Counts
210 → 210
Iterations

Useful iterations: 2 (402.0ms)

IterNodesCost
03064206
18344027
238603363
done50003363

prune749.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (pow (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))) 3) (/ 1.0 3.0))
1.0b
(pow (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))) 3)
2.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.0b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
104×add-cbrt-cube
59×prod-exp
55×cbrt-unprod
42×add-sqr-sqrt
23×div-exp
21×cbrt-undiv
20×add-cube-cbrt *-un-lft-identity
19×associate-*r*
17×associate-*l*
15×times-frac
10×unswap-sqr
8×unpow-prod-down cube-prod
7×pow1
4×sqrt-prod add-log-exp sqr-pow
3×pow-to-exp pow-unpow pow-exp div-inv
2×cube-mult unpow3 *-commutative
1×pow-pow frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* associate-/l* rem-cube-cbrt
Counts
4 → 151
Calls
4 calls:
16.0ms
(* (pow (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))) 3) (/ 1.0 3.0))
1.0ms
(pow (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))) 3)
42.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
12.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (pow (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))) 3) (/ 1.0 3.0))
23.0ms
(pow (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))) 3)
99.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
30.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify1.4s

Counts
163 → 163
Iterations

Useful iterations: 2 (441.0ms)

IterNodesCost
02703989
18433708
245212998
done50002998

prune504.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes431.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02734
13434
done3434

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23746×body80nan
402.0ms8000×body80valid