Details

Time bar (total: 7.7s)

sample28.0ms

Algorithm
intervals
Results
12.0ms332×body80valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify100.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
01113
11913
23911
3919
41599
51689
done1689

prune9.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 32.0 (+ (+ d3 5.0) d2))
0.0b
(* d1 (+ 32.0 (+ (+ d3 5.0) d2)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×distribute-lft-out
11×add-log-exp
6×add-sqr-sqrt associate-*r* sum-log
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
9.0ms
(+ 32.0 (+ (+ d3 5.0) d2))
10.0ms
(* d1 (+ 32.0 (+ (+ d3 5.0) d2)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ 32.0 (+ (+ d3 5.0) d2))
8.0ms
(* d1 (+ 32.0 (+ (+ d3 5.0) d2)))

simplify1.3s

Counts
48 → 48
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
075531
1214504
2689448
33361448
done5000448

prune59.0ms

Filtered
28 candidates to 48 candidates (-71.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh011
Picked011
Done000
Total46450

Merged error: 0.0b

Counts
50 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ d3 5.0) d1)
0.0b
(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*l* sum-log
3×flip3-+ associate-*r* flip-+
2×+-commutative associate-*l/
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 45
Calls
3 calls:
6.0ms
(* (+ d3 5.0) d1)
5.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
7.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series22.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (+ d3 5.0) d1)
8.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
9.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify2.4s

Counts
54 → 54
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
093709
1273652
2918536
34190502
done5000502

prune73.0ms

Filtered
38 candidates to 54 candidates (-42.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New52254
Fresh112
Picked011
Done011
Total53558

Merged error: 0b

Counts
58 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt d1) (cbrt d1))
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt d1) (cbrt d1))
2.0ms
(cbrt d1)
4.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series103.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt d1) (cbrt d1))
24.0ms
(cbrt d1)
24.0ms
(cbrt d1)
24.0ms
(cbrt d1)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: 4 (618.0ms)

IterNodesCost
076590
1147521
2329462
3892382
42136374
done5001374

prune92.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done022
Total85590

Merged error: 0b

Counts
90 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1)))
0.0b
(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))) (* d1 32.0))
0.2b
(* (sqrt (+ d3 5.0)) d1)
0.3b
(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*l*
13×add-sqr-sqrt *-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube add-log-exp
10×associate-*l/
9×add-cube-cbrt flip3-+ sqrt-prod flip-+
4×frac-times associate-*r* pow-prod-down prod-exp sum-log cbrt-unprod
2×+-commutative associate-*r/ *-commutative distribute-lft-out unswap-sqr
1×associate-+l+
Counts
4 → 79
Calls
4 calls:
4.0ms
(+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1)))
6.0ms
(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))) (* d1 32.0))
8.0ms
(* (sqrt (+ d3 5.0)) d1)
13.0ms
(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

series36.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1)))
9.0ms
(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))) (* d1 32.0))
13.0ms
(* (sqrt (+ d3 5.0)) d1)
6.0ms
(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

simplify860.0ms

Counts
91 → 91
Iterations

Useful iterations: done (858.0ms)

IterNodesCost
01681644
14781186
215561016
done5000978

prune123.0ms

Filtered
62 candidates to 91 candidates (-46.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done033
Total91596

Merged error: 0b

Counts
96 → 5

regimes256.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample783.0ms

Algorithm
intervals
Results
379.0ms10197×body80valid
2.0ms18×body640valid
2.0ms17×body320valid
1.0ms6×body1280valid
1.0ms11×body160valid

Profiling

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