Details

Time bar (total: 18.1s)

sample223.0ms

Algorithm
intervals
Results
81.0ms811×body80nan
29.0ms256×body80valid

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done5000
42302
3500
2122
138
018

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite183.0ms

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 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 → 130
Calls
4 calls:
34.0ms
(* 3.0 (/ x (* y 27.0)))
13.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
97.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series229.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
27.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
143.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
38.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
142 → 142
Iterations
IterNodes
done5001
24729
1747
0252

prune789.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))) (/ 1.0 (cbrt 3.0)))
1.0b
(/ 1.0 (cbrt 3.0))
3.8b
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
4.0b
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

rewrite170.0ms

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
28×associate-*r*
26×cbrt-undiv div-exp
22×cbrt-prod
8×pow1 associate-*l*
7×associate-/r*
5×unswap-sqr
4×sqrt-prod 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 → 152
Calls
4 calls:
14.0ms
(* (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))) (/ 1.0 (cbrt 3.0)))
4.0ms
(/ 1.0 (cbrt 3.0))
114.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
29.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

series258.0ms

Counts
4 → 10
Calls
4 calls:
81.0ms
(* (acos (* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))) (/ 1.0 (cbrt 3.0)))
0.0ms
(/ 1.0 (cbrt 3.0))
135.0ms
(* (/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0)) (sqrt t))
42.0ms
(/ (* (/ x (* 27.0 y)) 3.0) (* z 2.0))

simplify504.0ms

Counts
162 → 162
Iterations
IterNodes
done5000
1795
0276

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 27.0 y) z)
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))))
3.8b
(* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))
6.3b
(/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
88×add-cbrt-cube add-exp-log
46×prod-exp cbrt-unprod
25×add-sqr-sqrt
19×associate-*l*
17×cbrt-undiv div-exp
16×*-un-lft-identity add-cube-cbrt
13×pow1
12×times-frac associate-*r*
5×pow-prod-down
4×sqrt-prod add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 120
Calls
4 calls:
13.0ms
(* (* 27.0 y) z)
11.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))))
216.0ms
(* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))
54.0ms
(/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0))

series228.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 27.0 y) z)
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))))
142.0ms
(* (/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0)) (sqrt t))
42.0ms
(/ (* 3.0 x) (* (* (* 27.0 y) z) 2.0))

simplify438.0ms

Counts
132 → 132
Iterations
IterNodes
done5000
1715
0237

prune759.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes296.0ms

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
done31
131
023

end0.0ms

sample6.5s

Algorithm
intervals
Results
3.7s23798×body80nan
990.0ms8000×body80valid