Details

Time bar (total: 16.6s)

sample180.0ms

Algorithm
intervals
Results
96.0ms753×body80nan
50.0ms256×body80valid

simplify762.0ms

Counts
1 → 1
Iterations
IterNodes
done2000
41551
3412
2119
138
018

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
88×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×*-un-lft-identity add-cube-cbrt
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod insert-posit16 div-inv associate-/l* add-log-exp unswap-sqr
2×clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 128
Calls
4 calls:
7.0ms
(/ x (* y 27.0))
9.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
58.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
19.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series171.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ x (* y 27.0))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
103.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify415.0ms

Counts
140 → 140
Iterations
IterNodes
done2003
1698
0252

prune749.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

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))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite140.0ms

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:
19.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ 1.0 (cbrt 3.0))
84.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series226.0ms

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))
104.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
43.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify540.0ms

Counts
166 → 166
Iterations
IterNodes
done2000
1745
0273

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 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))))
0.1b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.5b
(* (sqrt t) (/ x (* z y)))
6.1b
(/ x (* z y))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
59×add-cbrt-cube
57×prod-exp
31×cbrt-unprod
25×div-exp
17×add-sqr-sqrt
16×pow1 associate-*l*
15×cbrt-undiv
13×*-un-lft-identity add-cube-cbrt
9×times-frac associate-*r*
7×pow-prod-down
6×rec-exp 1-exp associate-*r/
4×sqrt-prod insert-posit16 add-log-exp
3×*-commutative div-inv associate-/l*
2×unswap-sqr
1×frac-times clear-num associate-/r* frac-2neg associate-*l/
Counts
4 → 130
Calls
4 calls:
45.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))))
40.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
18.0ms
(* (sqrt t) (/ x (* z y)))
6.0ms
(/ x (* z y))

series308.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))))
91.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
94.0ms
(* (sqrt t) (/ x (* z y)))
24.0ms
(/ x (* z y))

simplify720.0ms

Counts
142 → 142
Iterations
IterNodes
done2000
1676
0247

prune709.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
1.0b
(/ 1.0 (cbrt (cbrt 3.0)))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
84×add-cbrt-cube
36×cbrt-prod
35×add-sqr-sqrt
34×prod-exp cbrt-unprod
32×times-frac
31×*-un-lft-identity add-cube-cbrt
27×cbrt-undiv div-exp
11×associate-/r*
7×associate-/l*
6×pow1 associate-*r*
5×associate-*l*
4×sqrt-prod insert-posit16 div-inv add-log-exp
3×clear-num frac-2neg
2×unswap-sqr
1×pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 147
Calls
4 calls:
6.0ms
(/ x (* y 27.0))
4.0ms
(/ 1.0 (cbrt (cbrt 3.0)))
70.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
19.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series176.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(/ x (* y 27.0))
0.0ms
(/ 1.0 (cbrt (cbrt 3.0)))
109.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify481.0ms

Counts
157 → 157
Iterations
IterNodes
done2001
1672
0273

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes496.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample7.6s

Algorithm
intervals
Results
4.8s24295×body80nan
1.5s8000×body80valid