Details

Time bar (total: 31.5s)

sample80.0ms

Algorithm
intervals
Results
49.0ms261×body80valid
3.0ms6×body640valid
2.0ms5×body320valid
2.0ms4×body1280valid
0.0ms1×body160valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5001
53032
4640
3210
293
150
021

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b
(- (* (/ K 2.0) (+ m n)) M)
0.0b
(exp (- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l))
34.7b
(cos (- (* (/ K 2.0) (+ m n)) M))

rewrite3.3s

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-log-exp
7×add-cube-cbrt
6×exp-prod unpow-prod-down associate--l+
5×pow1 add-exp-log
4×cos-sum sub-neg add-cbrt-cube diff-log exp-sum distribute-lft-out--
3×pow-unpow difference-of-squares rem-exp-log
2×distribute-rgt-in distribute-lft-in
1×cos-diff pow-to-exp pow-pow times-frac flip3-- exp-diff pow-exp flip-- sqr-pow
Counts
4 → 67
Calls
4 calls:
51.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
12.0ms
(- (* (/ K 2.0) (+ m n)) M)
3.2s
(exp (- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l))
44.0ms
(cos (- (* (/ K 2.0) (+ m n)) M))

series807.0ms

Counts
4 → 12
Calls
4 calls:
399.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
79.0ms
(- (* (/ K 2.0) (+ m n)) M)
221.0ms
(exp (- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l))
108.0ms
(cos (- (* (/ K 2.0) (+ m n)) M))

simplify1.6s

Counts
79 → 79
Iterations
IterNodes
done5001
21346
1450
0195

prune823.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.4b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l)
0.0b
(- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0))
0.0b
(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b
(exp (- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l))

rewrite5.1s

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
17×add-log-exp
8×distribute-lft-out--
7×unpow-prod-down diff-log add-cube-cbrt difference-of-squares
6×exp-prod
5×pow1 sub-neg add-exp-log
4×add-cbrt-cube exp-sum associate--l+
3×pow-unpow rem-exp-log
2×flip3-- flip-- sqr-pow
1×associate--l- pow-to-exp pow-pow times-frac exp-diff pow-exp
Counts
4 → 76
Calls
4 calls:
1.8s
(- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l)
147.0ms
(- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0))
63.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
3.1s
(exp (- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l))

series1.0s

Counts
4 → 12
Calls
4 calls:
318.0ms
(- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l)
193.0ms
(- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0))
338.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
198.0ms
(exp (- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l))

simplify1.3s

Counts
88 → 88
Iterations
IterNodes
done5000
21175
1429
0170

prune730.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l)
0.0b
(- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0))
0.0b
(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b
(pow E (- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l))

rewrite2.9s

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
11×add-log-exp
10×unpow-prod-down
9×pow-unpow
8×add-cube-cbrt distribute-lft-out--
7×difference-of-squares
6×pow1 add-exp-log
5×sub-neg
4×unpow-prod-up add-cbrt-cube diff-log associate--l+
3×pow-exp sqr-pow
2×pow-to-exp pow-pow flip3-- flip--
1×associate--l- e-exp-1 times-frac pow-sub
Counts
4 → 81
Calls
4 calls:
1.7s
(- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l)
211.0ms
(- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0))
87.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
902.0ms
(pow E (- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l))

series1.2s

Counts
4 → 12
Calls
4 calls:
325.0ms
(- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l)
156.0ms
(- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0))
454.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
223.0ms
(pow E (- (- (fabs (- m n)) (pow (- (/ (+ m n) 2.0) M) 2.0)) l))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
done5002
21631
1505
0187

prune732.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.4b

localize98.0ms

Local error

Found 4 expressions with local error:

15.5b
(cbrt (- (* (/ K 2.0) (+ m n)) M))
15.5b
(cbrt (- (* (/ K 2.0) (+ m n)) M))
15.5b
(cbrt (- (* (/ K 2.0) (+ m n)) M))
43.2b
(cos (* (* (cbrt (- (* (/ K 2.0) (+ m n)) M)) (cbrt (- (* (/ K 2.0) (+ m n)) M))) (cbrt (- (* (/ K 2.0) (+ m n)) M))))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-div
4×pow1 add-cbrt-cube add-exp-log add-log-exp
3×flip3-- pow1/3 flip--
Counts
4 → 46
Calls
4 calls:
21.0ms
(cbrt (- (* (/ K 2.0) (+ m n)) M))
20.0ms
(cbrt (- (* (/ K 2.0) (+ m n)) M))
11.0ms
(cbrt (- (* (/ K 2.0) (+ m n)) M))
325.0ms
(cos (* (* (cbrt (- (* (/ K 2.0) (+ m n)) M)) (cbrt (- (* (/ K 2.0) (+ m n)) M))) (cbrt (- (* (/ K 2.0) (+ m n)) M))))

series1.2s

Counts
4 → 12
Calls
4 calls:
391.0ms
(cbrt (- (* (/ K 2.0) (+ m n)) M))
364.0ms
(cbrt (- (* (/ K 2.0) (+ m n)) M))
365.0ms
(cbrt (- (* (/ K 2.0) (+ m n)) M))
80.0ms
(cos (* (* (cbrt (- (* (/ K 2.0) (+ m n)) M)) (cbrt (- (* (/ K 2.0) (+ m n)) M))) (cbrt (- (* (/ K 2.0) (+ m n)) M))))

simplify1.8s

Counts
58 → 58
Iterations
IterNodes
done5001
32854
2600
1212
091

prune727.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.4b

regimes760.0ms

Accuracy

0% (0.3b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 1.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done23
223
122
017

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s8109×body80valid
156.0ms138×body1280valid
135.0ms135×body640valid
50.0ms97×body320valid
13.0ms45×body160valid
3.0ms3×body2560valid