Details

Time bar (total: 17.8s)

sample216.0ms

Algorithm
intervals
Results
115.0ms753×body80nan
61.0ms256×body80valid

simplify811.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize46.0ms

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))

rewrite133.0ms

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×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u 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 → 136
Calls
4 calls:
7.0ms
(/ x (* y 27.0))
11.0ms
(* (/ 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))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series223.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x (* y 27.0))
30.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
115.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
42.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify439.0ms

Counts
148 → 148
Iterations
IterNodes
done2000
1720
0260

prune824.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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))

rewrite114.0ms

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×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u 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 → 164
Calls
4 calls:
11.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
71.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series280.0ms

Counts
4 → 10
Calls
4 calls:
112.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
132.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify690.0ms

Counts
174 → 174
Iterations
IterNodes
done2003
1766
0281

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

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))

rewrite156.0ms

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×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u 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 → 138
Calls
4 calls:
70.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))))
46.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
30.0ms
(* (sqrt t) (/ x (* z y)))
7.0ms
(/ x (* z y))

series370.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))))
116.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
90.0ms
(* (sqrt t) (/ x (* z y)))
37.0ms
(/ x (* z y))

simplify612.0ms

Counts
150 → 150
Iterations
IterNodes
done2002
1689
0255

prune715.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize69.0ms

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))

rewrite97.0ms

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×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u 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 → 155
Calls
4 calls:
8.0ms
(/ x (* y 27.0))
5.0ms
(/ 1.0 (cbrt (cbrt 3.0)))
61.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series245.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(/ x (* y 27.0))
0.0ms
(/ 1.0 (cbrt (cbrt 3.0)))
172.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify508.0ms

Counts
165 → 165
Iterations
IterNodes
done2001
1694
0281

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes550.0ms

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

sample8.4s

Algorithm
intervals
Results
4.8s24295×body80nan
1.7s8000×body80valid