Details

Time bar (total: 16.2s)

sample98.0ms

Algorithm
intervals
Results
36.0ms824×body80nan
13.0ms256×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
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:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 132
Calls
4 calls:
8.0ms
(/ x (* y 27.0))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
71.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series186.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ x (* y 27.0))
24.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
106.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.3s

Counts
144 → 144
Iterations

Useful iterations: 2 (476.0ms)

IterNodesCost
02562759
16862643
230122051
done50002051

prune357.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))
2.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite148.0ms

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:
29.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
72.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series282.0ms

Counts
4 → 10
Calls
4 calls:
124.0ms
(* (/ (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))
122.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.4s

Counts
211 → 211
Iterations

Useful iterations: 2 (511.0ms)

IterNodesCost
03034123
17583942
231863370
done50003370

prune719.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))
2.9b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.4b
(/ x (* z y))

rewrite112.0ms

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:
31.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
58.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
8.0ms
(/ x (* z y))

series287.0ms

Counts
4 → 10
Calls
4 calls:
135.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
123.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
29.0ms
(/ x (* z y))

simplify1.2s

Counts
187 → 187
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02602808
15762691
219212473
done50012461

prune647.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

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))))
2.9b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.4b
(/ x (* z y))

rewrite108.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 114
Calls
4 calls:
22.0ms
(* 0.05555555555555555 (/ x (* z y)))
16.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
59.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
8.0ms
(/ x (* z y))

series220.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 0.05555555555555555 (/ x (* z y)))
27.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
127.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
28.0ms
(/ x (* z y))

simplify1.2s

Counts
126 → 126
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02091709
15111650
218301386
done50001374

prune284.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes297.0ms

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
02026
12526
done2526

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s23574×body80nan
406.0ms8000×body80valid