Details

Time bar (total: 22.9s)

sample159.0ms

Algorithm
intervals
Results
64.0ms784×body80nan
21.0ms256×body80valid

simplify3.6s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize28.0ms

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))))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite136.0ms

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:
19.0ms
(* 3.0 (/ x (* y 27.0)))
12.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
81.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
19.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series210.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (/ x (* y 27.0)))
28.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
121.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.1s

Counts
142 → 142
Iterations
IterNodes
done5001
24729
1747
0252

prune961.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

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))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite158.0ms

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 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:
26.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ 1.0 (cbrt 3.0))
91.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series293.0ms

Counts
4 → 10
Calls
4 calls:
107.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
141.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
45.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.4s

Counts
162 → 162
Iterations
IterNodes
done5000
24535
1768
0269

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.4b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
5.1b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
103×add-cbrt-cube
55×prod-exp cbrt-unprod
48×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity add-cube-cbrt
27×associate-*l*
22×cbrt-prod cbrt-undiv div-exp
9×associate-*r*
8×pow1
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
Counts
4 → 159
Calls
4 calls:
25.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
7.0ms
(/ 1.0 (cbrt 3.0))
92.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
25.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series297.0ms

Counts
4 → 10
Calls
4 calls:
112.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
142.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
42.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify1.0s

Counts
169 → 169
Iterations
IterNodes
done5000
1803
0276

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.4b
(* (sqrt t) (/ x (* z y)))
5.1b
(/ x (* z y))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 *-un-lft-identity add-cube-cbrt
12×associate-*l*
11×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×sqrt-prod add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×clear-num associate-/r* frac-2neg
Counts
4 → 93
Calls
4 calls:
10.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
64.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
33.0ms
(* (sqrt t) (/ x (* z y)))
11.0ms
(/ x (* z y))

series221.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
91.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
85.0ms
(* (sqrt t) (/ x (* z y)))
26.0ms
(/ x (* z y))

simplify1.5s

Counts
105 → 105
Iterations
IterNodes
done5000
22053
1449
0167

prune495.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes812.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.4s24039×body80nan
1.6s8000×body80valid