Details

Time bar (total: 8.1s)

sample64.0ms

Algorithm
intervals
Results
26.0ms417×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 6 (624.0ms)

IterNodesCost
01819
13719
29119
326919
471619
5164719
6430017
done500017

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: 6.2b

Counts
2 → 2

localize13.0ms

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)

rewrite36.0ms

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)
13.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

series113.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* x 9.0) y)
41.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
15.0ms
(/ (+ b (* (* x 9.0) y)) z)
53.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

simplify500.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
01821845
14511785
216151639
done50001639

prune216.0ms

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

localize18.0ms

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))

rewrite28.0ms

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:
11.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ (* a t) c)
5.0ms
(/ b (* z c))
9.0ms
(/ (* x y) (* z c))

simplify480.0ms

Counts
104 → 104
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01601082
14291049
22058811
done5000811

prune170.0ms

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))

rewrite32.0ms

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:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
7.0ms
(* a (/ t c))
5.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series33.0ms

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

simplify491.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
01801173
14781130
22140892
done5000892

prune170.0ms

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))

rewrite32.0ms

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))

series34.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(/ a (/ c t))
5.0ms
(/ b (* z c))
9.0ms
(/ (* x y) (* z c))

simplify597.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (194.0ms)

IterNodesCost
02601776
16391683
227701435
done50011435

prune142.0ms

Filtered
106 candidates to 153 candidates (-44.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh11112
Picked011
Done000
Total15313166

Merged error: 0.0b

Counts
166 → 13

regimes1.8s

Accuracy

63.5% (4.0b remaining)

Error of 4.1b against oracle of 0.1b and baseline of 11.1b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
065195
190195
done90195

end0.0ms

sample1.9s

Algorithm
intervals
Results
822.0ms12802×body80valid

Profiling

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