Details

Time bar (total: 12.4s)

sample85.0ms

Algorithm
intervals
Results
31.0ms490×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13219
27519
320119
454719
5115519
6169619
7204019
8270319
9417219
done500019

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.4b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ a (* b c))
0.1b
(* (+ a (* b c)) c)
8.6b
(* (* (+ a (* b c)) c) i)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* associate-*l/
4×flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
2×+-commutative sum-log *-commutative
1×unswap-sqr
Counts
4 → 62
Calls
4 calls:
4.0ms
(+ (* x y) (* z t))
3.0ms
(+ a (* b c))
6.0ms
(* (+ a (* b c)) c)
8.0ms
(* (* (+ a (* b c)) c) i)

series56.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* x y) (* z t))
7.0ms
(+ a (* b c))
13.0ms
(* (+ a (* b c)) c)
20.0ms
(* (* (+ a (* b c)) c) i)

simplify1.5s

Counts
74 → 74
Iterations

Useful iterations: 3 (533.0ms)

IterNodesCost
0115798
1325784
21260680
34845662
done5000662

prune157.0ms

Filtered
52 candidates to 74 candidates (-42.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New631174
Fresh000
Picked101
Done000
Total641175

Merged error: 0.8b

Counts
75 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b
(+ (* x y) (* z t))
0.0b
(+ a (* b c))
4.8b
(* (+ a (* b c)) (* c i))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
9×pow1 add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×associate-*l/
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×frac-sub
3×associate-*l* pow-prod-down prod-exp sum-log cbrt-unprod
2×+-commutative diff-log
1×sub-neg flip3-- associate-*r* associate--l+ *-commutative flip--
Counts
4 → 60
Calls
4 calls:
8.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
4.0ms
(+ (* x y) (* z t))
3.0ms
(+ a (* b c))
9.0ms
(* (+ a (* b c)) (* c i))

series390.0ms

Counts
4 → 12
Calls
4 calls:
353.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
11.0ms
(+ (* x y) (* z t))
7.0ms
(+ a (* b c))
19.0ms
(* (+ a (* b c)) (* c i))

simplify519.0ms

Counts
72 → 72
Iterations

Useful iterations: done (516.0ms)

IterNodesCost
01301315
14171227
216351149
done50001145

prune153.0ms

Filtered
54 candidates to 72 candidates (-33.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New67572
Fresh3710
Picked011
Done000
Total701383

Merged error: 0.7b

Counts
83 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

1.8b
(cbrt (+ a (* b c)))
1.8b
(cbrt (+ a (* b c)))
1.8b
(cbrt (+ a (* b c)))
4.8b
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
40×associate-*l/
30×flip3-+ flip-+
28×frac-times
25×pow1 add-exp-log
17×add-cbrt-cube
15×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 93
Calls
4 calls:
3.0ms
(cbrt (+ a (* b c)))
3.0ms
(cbrt (+ a (* b c)))
3.0ms
(cbrt (+ a (* b c)))
26.0ms
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

series118.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ a (* b c)))
35.0ms
(cbrt (+ a (* b c)))
31.0ms
(cbrt (+ a (* b c)))
20.0ms
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify569.0ms

Counts
105 → 105
Iterations

Useful iterations: done (566.0ms)

IterNodesCost
01892535
15012454
216681860
done50001852

prune200.0ms

Filtered
74 candidates to 105 candidates (-41.9%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1032105
Fresh2911
Picked011
Done011
Total10513118

Merged error: 0.7b

Counts
118 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
4.8b
(* (+ a (* b c)) (* c i))
4.8b
(* (+ a (* b c)) (* c i))
4.8b
(* (+ a (* b c)) (* c i))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×flip3-+ flip-+
6×cbrt-div
4×frac-sub add-log-exp
3×cbrt-prod associate-*r* *-commutative
1×flip3-- pow1/3 flip--
Counts
4 → 77
Calls
4 calls:
7.0ms
(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
8.0ms
(* (+ a (* b c)) (* c i))
8.0ms
(* (+ a (* b c)) (* c i))
7.0ms
(* (+ a (* b c)) (* c i))

series171.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
19.0ms
(* (+ a (* b c)) (* c i))
22.0ms
(* (+ a (* b c)) (* c i))
19.0ms
(* (+ a (* b c)) (* c i))

simplify561.0ms

Counts
89 → 89
Iterations

Useful iterations: done (558.0ms)

IterNodesCost
01761741
15071631
218881490
done50001478

prune109.0ms

Filtered
64 candidates to 89 candidates (-39.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh2810
Picked101
Done022
Total9111102

Merged error: 0.7b

Counts
102 → 11

regimes1.9s

Accuracy

0% (1.0b remaining)

Error of 1.8b against oracle of 0.9b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
12619
done2619

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s15387×body80valid

Profiling

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