Details

Time bar (total: 9.8s)

sample120.0ms

Algorithm
intervals
Results
47.0ms692×body80nan
22.0ms256×body80valid

simplify761.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
211919
346819
4203219
done500019

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.3b

Counts
2 → 1

localize15.0ms

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))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
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-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
8.0ms
(* 3.0 (/ x (* y 27.0)))
12.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
15.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series41.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (/ x (* y 27.0)))
10.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
21.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
7.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify776.0ms

Counts
142 → 142
Iterations

Useful iterations: 2 (278.0ms)

IterNodesCost
02542774
17732650
238902036
done50012036

prune201.0ms

Filtered
80 candidates to 142 candidates (-77.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1393142
Fresh000
Picked101
Done000
Total1403143

Merged error: 0.0b

Counts
143 → 3

localize20.0ms

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))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite49.0ms

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:
9.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
15.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
14.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series45.0ms

Counts
4 → 10
Calls
4 calls:
18.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
21.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
7.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify784.0ms

Counts
162 → 162
Iterations

Useful iterations: 2 (283.0ms)

IterNodesCost
02713131
17863004
238452430
done50002430

prune378.0ms

Filtered
103 candidates to 162 candidates (-57.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh022
Picked011
Done000
Total1614165

Merged error: 0b

Counts
165 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.3b
(* (sqrt t) (/ x (* z y)))
7.3b
(/ x (* z y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
33×add-cbrt-cube
30×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
24×times-frac
13×prod-exp cbrt-unprod
12×cbrt-prod
11×pow1
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp associate-/r*
6×associate-/l*
4×pow-prod-down sqrt-prod add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×acos-asin div-sub
Counts
4 → 115
Calls
4 calls:
5.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
11.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
9.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series69.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
26.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
20.0ms
(* (sqrt t) (/ x (* z y)))
9.0ms
(/ x (* z y))

simplify535.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
02152118
15332040
221171820
done50001820

prune258.0ms

Filtered
83 candidates to 127 candidates (-53.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done011
Total1274131

Merged error: 0b

Counts
131 → 4

localize11.0ms

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)))
7.3b
(/ x (* z y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 add-cube-cbrt *-un-lft-identity
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×frac-2neg clear-num associate-/r*
Counts
4 → 93
Calls
4 calls:
4.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
10.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
10.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series63.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
29.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
20.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

simplify502.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (139.0ms)

IterNodesCost
01741457
14861389
220541175
done50011175

prune109.0ms

Filtered
64 candidates to 105 candidates (-64.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done022
Total1054109

Merged error: 0b

Counts
109 → 4

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02024
12724
done2724

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.7s24083×body80nan
575.0ms8000×body80valid

Profiling

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