Details

Time bar (total: 5.0s)

sample27.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify126.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3819
41259
51659
61969
72099
82119
done2119

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.5b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.5b
(/ (* x 2.0) (* z (- y t)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
7.0ms
(* z (- y t))
9.0ms
(/ (* x 2.0) (* z (- y t)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* z (- y t))
15.0ms
(/ (* x 2.0) (* z (- y t)))

simplify712.0ms

Counts
55 → 55
Iterations

Useful iterations: done (710.0ms)

IterNodesCost
093556
1253549
21158437
done5001427

prune86.0ms

Filtered
33 candidates to 55 candidates (-66.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New46955
Fresh101
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
1.4b
(/ 1 (* z (- y t)))
4.5b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
14×associate-*r*
13×pow1 add-sqr-sqrt cbrt-unprod
12×div-exp
11×*-un-lft-identity
9×add-cube-cbrt
7×associate-*r/
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv
1×frac-2neg clear-num associate-/r* un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 98
Calls
3 calls:
7.0ms
(* z (- y t))
7.0ms
(/ 1 (* z (- y t)))
13.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series32.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* z (- y t))
10.0ms
(/ 1 (* z (- y t)))
13.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify722.0ms

Counts
107 → 107
Iterations

Useful iterations: done (713.0ms)

IterNodesCost
01391165
13871058
21525834
done5000814

prune104.0ms

Filtered
58 candidates to 107 candidates (-84.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh358
Picked011
Done000
Total1088116

Merged error: 0.0b

Counts
116 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
4.4b
(* x (/ (/ 2.0 (- y t)) z))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
180×add-sqr-sqrt
171×*-un-lft-identity
121×add-cube-cbrt
67×associate-*r*
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
16×associate-/r/
10×div-inv
8×flip3-- associate-/r* flip--
7×cbrt-undiv div-exp
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 228
Calls
3 calls:
6.0ms
(/ 2.0 (- y t))
13.0ms
(/ (/ 2.0 (- y t)) z)
22.0ms
(* x (/ (/ 2.0 (- y t)) z))

series36.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ 2.0 (- y t))
12.0ms
(/ (/ 2.0 (- y t)) z)
18.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify578.0ms

Counts
237 → 237
Iterations

Useful iterations: done (570.0ms)

IterNodesCost
03013213
17543025
226612895
done50002859

prune322.0ms

Filtered
182 candidates to 237 candidates (-30.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2316237
Fresh336
Picked011
Done101
Total23510245

Merged error: 0b

Counts
245 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.5b
(* x (/ (* (cbrt (/ 2.0 (- y t))) (cbrt (/ 2.0 (- y t)))) (* (cbrt z) (cbrt z))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
25.0ms
(* x (/ (* (cbrt (/ 2.0 (- y t))) (cbrt (/ 2.0 (- y t)))) (* (cbrt z) (cbrt z))))

series151.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
25.0ms
(cbrt z)
28.0ms
(cbrt z)
74.0ms
(* x (/ (* (cbrt (/ 2.0 (- y t))) (cbrt (/ 2.0 (- y t)))) (* (cbrt z) (cbrt z))))

simplify505.0ms

Counts
75 → 75
Iterations

Useful iterations: done (502.0ms)

IterNodesCost
01461191
13971125
21421881
done5000873

prune143.0ms

Filtered
59 candidates to 75 candidates (-27.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh088
Picked011
Done011
Total751085

Merged error: 0b

Counts
85 → 10

regimes468.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
11731
done1731

end0.0ms

sample788.0ms

Algorithm
intervals
Results
340.0ms8737×body80valid

Profiling

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