Details

Time bar (total: 21.9s)

sample214.0ms

Algorithm
intervals
Results
122.0ms757×body80nan
33.0ms256×body80valid

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
done5001
41551
3412
2119
138
018

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize41.0ms

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))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite149.0ms

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×sqrt-prod insert-posit16 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 → 134
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
88.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series218.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3.0 (/ x (* y 27.0)))
27.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
130.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.0s

Counts
146 → 146
Iterations
IterNodes
done5173
23325
1722
0256

prune620.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity add-cube-cbrt
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod insert-posit16 div-inv associate-/l* add-log-exp
2×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 156
Calls
4 calls:
27.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 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))

series217.0ms

Counts
4 → 10
Calls
4 calls:
79.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
96.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.8s

Counts
166 → 166
Iterations
IterNodes
done5073
23204
1745
0273

prune779.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.7b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.7b
(/ x (* z y))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×*-un-lft-identity add-cube-cbrt
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×pow-prod-down insert-posit16 add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×clear-num frac-2neg associate-*l/ *-commutative
1×associate-*r/
Counts
4 → 132
Calls
4 calls:
21.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
8.0ms
(/ 1.0 (cbrt 3.0))
61.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
8.0ms
(/ x (* z y))

series229.0ms

Counts
4 → 10
Calls
4 calls:
94.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
101.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
34.0ms
(/ x (* z y))

simplify1.4s

Counts
142 → 142
Iterations
IterNodes
done5001
21901
1559
0230

prune803.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (/ (* (* 0.05555555555555555 (sqrt t)) (/ x z)) y)) (cbrt 3.0))))
0.2b
(* 0.05555555555555555 (sqrt t))
2.3b
(* (* 0.05555555555555555 (sqrt t)) (/ x z))
5.3b
(/ (* (* 0.05555555555555555 (sqrt t)) (/ x z)) y)

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
114×add-exp-log
63×add-cbrt-cube
57×prod-exp
31×cbrt-unprod
28×div-exp
22×add-sqr-sqrt
20×associate-*r*
18×cbrt-undiv *-un-lft-identity add-cube-cbrt
16×pow1
15×times-frac
11×associate-*l*
7×pow-prod-down
6×rec-exp 1-exp
5×associate-*r/
4×sqrt-prod insert-posit16 add-log-exp
3×associate-/r* *-commutative div-inv
2×unswap-sqr
1×frac-times clear-num frac-2neg associate-*l/ associate-/l* associate-/l/
Counts
4 → 138
Calls
4 calls:
65.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (/ (* (* 0.05555555555555555 (sqrt t)) (/ x z)) y)) (cbrt 3.0))))
9.0ms
(* 0.05555555555555555 (sqrt t))
30.0ms
(* (* 0.05555555555555555 (sqrt t)) (/ x z))
38.0ms
(/ (* (* 0.05555555555555555 (sqrt t)) (/ x z)) y)

series282.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (/ (* (* 0.05555555555555555 (sqrt t)) (/ x z)) y)) (cbrt 3.0))))
42.0ms
(* 0.05555555555555555 (sqrt t))
61.0ms
(* (* 0.05555555555555555 (sqrt t)) (/ x z))
80.0ms
(/ (* (* 0.05555555555555555 (sqrt t)) (/ x z)) y)

simplify1.7s

Counts
150 → 150
Iterations
IterNodes
done5000
23375
1936
0323

prune658.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes228.0ms

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
done26
126
020

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.8s23503×body80nan
1.1s8000×body80valid