Details

Time bar (total: 26.3s)

sample233.0ms

Algorithm
intervals
Results
109.0ms718×body80nan
32.0ms256×body80valid

simplify6.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize27.0ms

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))))
2.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite237.0ms

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:
41.0ms
(* 3.0 (/ x (* y 27.0)))
27.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
132.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series287.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (/ x (* y 27.0)))
35.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
174.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
54.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.7s

Counts
150 → 150
Iterations

Useful iterations: 2 (563.0ms)

IterNodesCost
02602872
17042749
230682131
done50012131

prune526.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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))
2.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite214.0ms

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:
34.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
10.0ms
(/ (sqrt 1.0) (cbrt 3.0))
112.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series428.0ms

Counts
4 → 10
Calls
4 calls:
186.0ms
(* (/ (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))
177.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
65.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.7s

Counts
211 → 211
Iterations

Useful iterations: 2 (598.0ms)

IterNodesCost
03034123
17583942
231863370
done50003370

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
2.6b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.2b
(/ x (* z y))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
76×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
44×sqrt-prod
41×cbrt-prod associate-*l*
30×add-exp-log
28×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×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×div-inv
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 177
Calls
4 calls:
34.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
9.0ms
(/ (sqrt 1.0) (cbrt 3.0))
73.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
10.0ms
(/ x (* z y))

series315.0ms

Counts
4 → 10
Calls
4 calls:
157.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
130.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
27.0ms
(/ x (* z y))

simplify1.7s

Counts
187 → 187
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02602808
15762691
219212473
done50012461

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* z 2.0) (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
2.7b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
4.3b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log add-cbrt-cube
63×prod-exp cbrt-unprod
24×add-sqr-sqrt
21×cbrt-undiv div-exp
20×pow1
19×associate-*l*
15×add-cube-cbrt *-un-lft-identity
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×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 140
Calls
4 calls:
37.0ms
(* (* z 2.0) (* y 27.0))
23.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
169.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
79.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* z 2.0) (* y 27.0))
23.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
180.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
62.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify2.2s

Counts
152 → 152
Iterations

Useful iterations: 2 (863.0ms)

IterNodesCost
02493064
16862919
235162195
done50022195

prune460.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02026
12526
done2526

end0.0ms

sample6.8s

Algorithm
intervals
Results
4.0s23825×body80nan
794.0ms8000×body80valid