Details

Time bar (total: 9.4s)

sample40.0ms

Algorithm
intervals
Results
20.0ms327×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 8 (1.1s)

IterNodesCost
01417
12517
24617
37917
412117
518317
630917
771417
8283815
done500015

prune16.0ms

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: 0.0b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (+ (/ 2.0 z) (* 2.0 1.0)) t) (- 2.0 (/ x y)))
0.1b
(/ (+ (/ 2.0 z) (* 2.0 1.0)) t)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
13×times-frac
11×add-cube-cbrt
7×add-log-exp
5×div-inv
4×add-exp-log add-cbrt-cube distribute-lft-out associate-/l*
3×diff-log associate-/r* distribute-lft-out--
2×pow1 sub-neg flip3-- frac-sub flip-- associate-/l/ associate--r+ difference-of-squares
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ associate--r-
Counts
2 → 55
Calls
2 calls:
20.0ms
(- (/ (+ (/ 2.0 z) (* 2.0 1.0)) t) (- 2.0 (/ x y)))
10.0ms
(/ (+ (/ 2.0 z) (* 2.0 1.0)) t)

series18.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (/ (+ (/ 2.0 z) (* 2.0 1.0)) t) (- 2.0 (/ x y)))
5.0ms
(/ (+ (/ 2.0 z) (* 2.0 1.0)) t)

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: 3 (504.0ms)

IterNodesCost
01331125
13371067
28971007
32739995
done5001995

prune122.0ms

Filtered
48 candidates to 61 candidates (-27.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New55661
Fresh101
Picked011
Done000
Total56763

Merged error: 0.0b

Counts
63 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.0b
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) (- 2.0 (/ x y)))
0.7b
(/ 2.0 (* t z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×diff-log frac-sub distribute-lft-out--
5×add-cube-cbrt
4×flip3-- flip-- distribute-lft-out
3×pow1 flip3-+ times-frac frac-add sum-log flip-+ div-inv associate-/l*
2×cbrt-undiv sub-neg div-exp associate--r+
1×+-commutative frac-2neg prod-exp associate--l+ clear-num associate-/r* cbrt-unprod associate--r- difference-of-squares
Counts
3 → 65
Calls
3 calls:
14.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
20.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) (- 2.0 (/ x y)))
5.0ms
(/ 2.0 (* t z))

series22.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
12.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) (- 2.0 (/ x y)))
4.0ms
(/ 2.0 (* t z))

simplify735.0ms

Counts
74 → 74
Iterations

Useful iterations: 2 (215.0ms)

IterNodesCost
01471438
14531336
216771272
done50001272

prune107.0ms

Filtered
50 candidates to 74 candidates (-48.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh145
Picked011
Done011
Total74781

Merged error: 0.0b

Counts
81 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
63×*-un-lft-identity
47×add-sqr-sqrt
45×add-cube-cbrt
17×add-log-exp
13×associate-/l*
8×add-exp-log add-cbrt-cube
6×diff-log frac-sub distribute-lft-out--
5×div-inv
4×flip3-- flip-- distribute-lft-out
3×pow1 cbrt-undiv flip3-+ div-exp frac-add associate-/r* sum-log flip-+
2×sub-neg associate--r+
1×+-commutative frac-2neg associate--l+ clear-num associate-/l/ associate--r- difference-of-squares
Counts
3 → 114
Calls
3 calls:
32.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
38.0ms
(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) (- 2.0 (/ x y)))
9.0ms
(/ (/ 2.0 t) z)

series22.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
12.0ms
(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) (- 2.0 (/ x y)))
3.0ms
(/ (/ 2.0 t) z)

simplify1.1s

Counts
123 → 123
Iterations

Useful iterations: 2 (589.0ms)

IterNodesCost
02492105
16651953
221571897
done50011897

prune190.0ms

Filtered
94 candidates to 123 candidates (-30.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1212123
Fresh134
Picked011
Done112
Total1237130

Merged error: 0.0b

Counts
130 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (/ 2.0 t))
0.6b
(cbrt (/ 2.0 t))
0.6b
(cbrt (/ 2.0 t))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div div-inv
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt z)
3.0ms
(cbrt (/ 2.0 t))
3.0ms
(cbrt (/ 2.0 t))
3.0ms
(cbrt (/ 2.0 t))

series103.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
25.0ms
(cbrt (/ 2.0 t))
25.0ms
(cbrt (/ 2.0 t))
29.0ms
(cbrt (/ 2.0 t))

simplify1.5s

Counts
89 → 89
Iterations

Useful iterations: 5 (632.0ms)

IterNodesCost
0105806
1166756
2265710
3499676
4904662
52009653
done5000653

prune196.0ms

Filtered
70 candidates to 89 candidates (-27.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh044
Picked011
Done022
Total89796

Merged error: 0.0b

Counts
96 → 7

regimes339.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11215
done1215

end0.0ms

sample1.0s

Algorithm
intervals
Results
543.0ms10419×body80valid

Profiling

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