Details

Time bar (total: 12.2s)

sample69.0ms

Algorithm
intervals
Results
30.0ms417×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 6 (2.7s)

IterNodesCost
01819
13719
29119
326719
470519
5161019
6363917
done500017

prune15.0ms

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: 6.2b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.2b
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
1.5b
(/ (+ b (* (* x 9.0) y)) z)
11.3b
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×add-exp-log add-cbrt-cube
9×pow1
6×associate-/r* associate-/l* add-log-exp
4×associate-/l/
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×sub-neg flip3-+ diff-log div-sub associate-*l* *-commutative flip-+
Counts
4 → 89
Calls
4 calls:
6.0ms
(* (* x 9.0) y)
9.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
6.0ms
(/ (+ b (* (* x 9.0) y)) z)
11.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

series111.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* x 9.0) y)
40.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
18.0ms
(/ (+ b (* (* x 9.0) y)) z)
48.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

simplify866.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
01821845
14401785
215481639
done50011639

prune211.0ms

Filtered
76 candidates to 101 candidates (-32.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9011101
Fresh011
Picked101
Done000
Total9112103

Merged error: 5.7b

Counts
103 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.6b
(/ (* a t) c)
4.9b
(/ b (* z c))
8.3b
(/ (* x y) (* z c))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ (* a t) c)
5.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series30.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(/ (* a t) c)
5.0ms
(/ b (* z c))
8.0ms
(/ (* x y) (* z c))

simplify779.0ms

Counts
104 → 104
Iterations

Useful iterations: 2 (184.0ms)

IterNodesCost
01601082
14201049
21932811
done5001811

prune167.0ms

Filtered
62 candidates to 104 candidates (-67.7%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New986104
Fresh3811
Picked101
Done000
Total10214116

Merged error: 0.5b

Counts
116 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.4b
(* a (/ t c))
4.9b
(/ b (* z c))
8.3b
(/ (* x y) (* z c))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
18×associate-*r*
16×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
15×times-frac
11×cbrt-undiv div-exp
8×pow1
6×associate-*l*
4×div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 103
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
7.0ms
(* a (/ t c))
5.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series30.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(* a (/ t c))
5.0ms
(/ b (* z c))
9.0ms
(/ (* x y) (* z c))

simplify775.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
01801173
14741130
21977892
done5000892

prune166.0ms

Filtered
71 candidates to 115 candidates (-62.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1132115
Fresh21113
Picked101
Done000
Total11613129

Merged error: 0.0b

Counts
129 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.7b
(/ a (/ c t))
4.9b
(/ b (* z c))
8.3b
(/ (* x y) (* z c))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(/ a (/ c t))
5.0ms
(/ b (* z c))
7.0ms
(/ (* x y) (* z c))

series30.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(/ a (/ c t))
5.0ms
(/ b (* z c))
8.0ms
(/ (* x y) (* z c))

simplify880.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (261.0ms)

IterNodesCost
02601776
16341683
224791435
done50001435

prune142.0ms

Filtered
104 candidates to 153 candidates (-47.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1512153
Fresh21012
Picked101
Done000
Total15412166

Merged error: 0.0b

Counts
166 → 12

regimes1.7s

Accuracy

67% (3.7b remaining)

Error of 3.7b against oracle of 0.0b and baseline of 11.3b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
048191
165191
done65191

end0.0ms

sample1.8s

Algorithm
intervals
Results
782.0ms12802×body80valid

Profiling

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