Details

Time bar (total: 1.1m)

sample969.0ms

Algorithm
intervals
Results
604.0ms256×body80valid
172.0ms802×body80nan

simplify13.3s

Counts
1 → 1
Iterations
IterNodes
done5001
41531
3410
2119
138
018

prune156.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite710.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
15.0ms
(/ x (* y 27.0))
46.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
590.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
48.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series310.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ x (* y 27.0))
52.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
170.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
49.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify6.0s

Counts
136 → 136
Iterations
IterNodes
done5056
23149
1705
0248

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize205.0ms

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))
2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
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×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
38.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
13.0ms
(/ 1.0 (cbrt 3.0))
152.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
84.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series490.0ms

Counts
4 → 10
Calls
4 calls:
163.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
244.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
83.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify5.3s

Counts
162 → 162
Iterations
IterNodes
done5006
23180
1750
0269

prune1.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize66.0ms

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))
2.8b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.0b
(/ x (* z y))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
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 add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 128
Calls
4 calls:
40.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
12.0ms
(/ 1.0 (cbrt 3.0))
117.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
27.0ms
(/ x (* z y))

series471.0ms

Counts
4 → 10
Calls
4 calls:
143.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
230.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
89.0ms
(/ x (* z y))

simplify4.0s

Counts
138 → 138
Iterations
IterNodes
done5004
21863
1561
0226

prune2.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize151.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite832.0ms

Algorithm
rewrite-expression-head
Rules
142×add-exp-log add-cbrt-cube
57×prod-exp cbrt-unprod
48×cbrt-undiv div-exp
11×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 associate-*r*
5×associate-*l*
4×times-frac sqrt-prod div-inv add-log-exp
3×frac-2neg associate-*r/ clear-num associate-/r* associate-/l/ associate-/l*
2×unswap-sqr
1×pow-prod-down associate-*l/ *-commutative
Counts
4 → 131
Calls
4 calls:
248.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
114.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
99.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
305.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series764.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
82.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
117.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
231.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify6.4s

Counts
143 → 143
Iterations
IterNodes
done5062
22552
1514
0160

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done27
127
020

end4.0ms

sample12.8s

Algorithm
intervals
Results
8.5s23727×body80nan
2.3s8000×body80valid