Details

Time bar (total: 19.1s)

sample162.0ms

Algorithm
intervals
Results
90.0ms750×body80nan
26.0ms256×body80valid

simplify4.6s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite152.0ms

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:
10.0ms
(/ x (* y 27.0))
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
95.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series206.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ x (* y 27.0))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
138.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify1.7s

Counts
140 → 140
Iterations
IterNodes
done5008
23170
1707
0252

prune556.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize67.0ms

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))
4.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite130.0ms

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:
13.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
80.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series250.0ms

Counts
4 → 10
Calls
4 calls:
91.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
129.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify1.8s

Counts
166 → 166
Iterations
IterNodes
done5015
23257
1754
0273

prune873.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt t) (* 3.0 x))
1.0b
(/ (acos (/ (/ (/ (* (sqrt t) (* 3.0 x)) (* y 27.0)) 2.0) z)) 3.0)
3.4b
(/ (* (sqrt t) (* 3.0 x)) (* y 27.0))
5.9b
(/ (/ (/ (* (sqrt t) (* 3.0 x)) (* y 27.0)) 2.0) z)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
139×times-frac
70×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
28×cbrt-undiv div-exp
23×associate-/l*
21×prod-exp cbrt-unprod
19×div-inv
9×pow1
7×associate-/r*
6×associate-*l*
4×insert-posit16 add-log-exp
3×clear-num frac-2neg pow-prod-down sqrt-prod
1×acos-asin div-sub associate-*r* *-commutative associate-/l/
Counts
4 → 184
Calls
4 calls:
24.0ms
(* (sqrt t) (* 3.0 x))
19.0ms
(/ (acos (/ (/ (/ (* (sqrt t) (* 3.0 x)) (* y 27.0)) 2.0) z)) 3.0)
33.0ms
(/ (* (sqrt t) (* 3.0 x)) (* y 27.0))
39.0ms
(/ (/ (/ (* (sqrt t) (* 3.0 x)) (* y 27.0)) 2.0) z)

series281.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (sqrt t) (* 3.0 x))
23.0ms
(/ (acos (/ (/ (/ (* (sqrt t) (* 3.0 x)) (* y 27.0)) 2.0) z)) 3.0)
79.0ms
(/ (* (sqrt t) (* 3.0 x)) (* y 27.0))
102.0ms
(/ (/ (/ (* (sqrt t) (* 3.0 x)) (* y 27.0)) 2.0) z)

simplify2.0s

Counts
196 → 196
Iterations
IterNodes
done5001
24380
11114
0434

prune915.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes466.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.7s23922×body80nan
1.2s8000×body80valid