Details

Time bar (total: 20.6s)

sample149.0ms

Algorithm
intervals
Results
83.0ms689×body80nan
20.0ms256×body80valid

simplify5.6s

Counts
1 → 1
Iterations
IterNodes
done5001
41551
3412
2119
138
018

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite153.0ms

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:
25.0ms
(* 3.0 (/ x (* y 27.0)))
13.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
68.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
41.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series221.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 3.0 (/ x (* y 27.0)))
37.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
123.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.2s

Counts
142 → 142
Iterations
IterNodes
done5006
23301
1729
0252

prune751.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

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))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite124.0ms

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:
16.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
79.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
18.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series255.0ms

Counts
4 → 10
Calls
4 calls:
95.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
121.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.9s

Counts
162 → 162
Iterations
IterNodes
done5051
23175
1750
0269

prune964.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

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))))
3.3b
(* (sqrt t) (/ x (* z y)))
4.8b
(/ x (* z y))

rewrite116.0ms

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:
6.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
58.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
38.0ms
(* (sqrt t) (/ x (* z y)))
12.0ms
(/ x (* z y))

series244.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
83.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
117.0ms
(* (sqrt t) (/ x (* z y)))
23.0ms
(/ x (* z y))

simplify1.5s

Counts
105 → 105
Iterations
IterNodes
done5001
21548
1447
0167

prune524.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes623.0ms

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

sample5.1s

Algorithm
intervals
Results
2.8s23713×body80nan
1.1s8000×body80valid