Details

Time bar (total: 9.8s)

sample87.0ms

Algorithm
intervals
Results
41.0ms849×body80nan
12.0ms256×body80valid

simplify753.0ms

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: 1.2b

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))))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite66.0ms

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:
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))))
30.0ms
(* (/ (* 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))

simplify1.0s

Counts
142 → 142
Iterations

Useful iterations: 2 (338.0ms)

IterNodesCost
02522762
17402639
235842021
done50012021

prune301.0ms

Pruning

2 alts after pruning (2 fresh and 0 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))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite74.0ms

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:
17.0ms
(* (/ (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))
30.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series228.0ms

Counts
4 → 10
Calls
4 calls:
108.0ms
(* (/ (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))

simplify949.0ms

Counts
203 → 203
Iterations

Useful iterations: 2 (329.0ms)

IterNodesCost
02993999
18003844
234683272
done50003272

prune944.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.0b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.3b
(/ x (* z y))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
82×cbrt-prod
79×times-frac
76×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
41×associate-*l*
30×add-exp-log
26×add-cbrt-cube
11×pow1 prod-exp cbrt-unprod
9×associate-*r* associate-/l*
7×associate-/r*
6×cbrt-undiv div-exp
5×unswap-sqr
4×pow-prod-down add-log-exp
3×sqrt-prod div-inv
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 169
Calls
4 calls:
20.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ (cbrt 1.0) (cbrt 3.0))
23.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.0ms
(/ x (* z y))

series230.0ms

Counts
4 → 10
Calls
4 calls:
111.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
98.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
20.0ms
(/ x (* z y))

simplify631.0ms

Counts
179 → 179
Iterations

Useful iterations: 2 (205.0ms)

IterNodesCost
02562712
15852621
220072403
done50002403

prune722.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (/ x (* z y)))
1.0b
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
3.0b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.3b
(/ x (* z y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×associate-*l*
16×times-frac associate-*r*
15×prod-exp cbrt-unprod
13×pow1
7×cbrt-undiv div-exp
5×pow-prod-down
4×add-log-exp
3×sqrt-prod *-commutative div-inv associate-/l* unswap-sqr
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r*
Counts
4 → 106
Calls
4 calls:
9.0ms
(* 0.05555555555555555 (/ x (* z y)))
8.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
23.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.0ms
(/ x (* z y))

series182.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 0.05555555555555555 (/ x (* z y)))
25.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
102.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
25.0ms
(/ x (* z y))

simplify639.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
02011627
15131568
220051304
done50011304

prune261.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02129
12629
done2629

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s24017×body80nan
398.0ms8000×body80valid