Details

Time bar (total: 49.0s)

sample109.0ms

Algorithm
intervals
Results
45.0ms264×body80valid
3.0ms3×body1280valid
2.0ms4×body320valid
2.0ms4×body640valid

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
done5001
51428
4534
3208
293
150
021

prune55.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize186.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0))
0.0b
(- (/ (* (+ m n) K) 2.0) M)
0.0b
(pow (- (/ (+ m n) 2.0) M) 2.0)
37.2b
(cos (- (/ (* (+ m n) K) 2.0) M))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
120×add-sqr-sqrt
102×*-un-lft-identity
101×prod-diff
61×add-cube-cbrt
37×unpow-prod-down
27×times-frac difference-of-squares
23×cos-sum
21×distribute-lft-out--
12×fma-neg
11×associate--l+ add-log-exp
7×div-inv sqr-pow
5×pow1 add-exp-log
4×expm1-log1p-u sub-neg add-cbrt-cube diff-log insert-posit16 log1p-expm1-u
3×pow-unpow
2×flip3-- flip--
1×associate--l- cos-diff pow-to-exp pow-pow pow-exp
Counts
4 → 190
Calls
4 calls:
711.0ms
(- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0))
89.0ms
(- (/ (* (+ m n) K) 2.0) M)
169.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
137.0ms
(cos (- (/ (* (+ m n) K) 2.0) M))

series1.2s

Counts
4 → 12
Calls
4 calls:
393.0ms
(- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0))
110.0ms
(- (/ (* (+ m n) K) 2.0) M)
608.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
134.0ms
(cos (- (/ (* (+ m n) K) 2.0) M))

simplify4.1s

Counts
202 → 202
Iterations
IterNodes
done5001
21806
1857
0411

prune3.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.1b

localize158.0ms

Local error

Found 2 expressions with local error:

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

rewrite931.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt
70×*-un-lft-identity
59×prod-diff
37×unpow-prod-down
31×add-cube-cbrt
26×difference-of-squares
20×distribute-lft-out--
11×associate--l+
7×add-log-exp sqr-pow
6×times-frac
5×fma-neg
3×pow1 pow-unpow diff-log add-exp-log
2×expm1-log1p-u sub-neg add-cbrt-cube insert-posit16 log1p-expm1-u
1×associate--l- pow-to-exp pow-pow flip3-- pow-exp flip--
Counts
2 → 111
Calls
2 calls:
730.0ms
(- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0))
175.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)

series892.0ms

Counts
2 → 6
Calls
2 calls:
399.0ms
(- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0))
493.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify7.3s

Counts
117 → 117
Iterations
IterNodes
done5000
33701
21141
1500
0215

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.1b

localize275.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
37.5b
(cos (fma (/ (+ m n) (* (cbrt 2.0) (cbrt 2.0))) (/ K (cbrt 2.0)) (- M)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×cos-sum fma-udef
Counts
4 → 53
Calls
4 calls:
2.0ms
(cbrt 2.0)
2.0ms
(cbrt 2.0)
2.0ms
(cbrt 2.0)
6.0ms
(cos (fma (/ (+ m n) (* (cbrt 2.0) (cbrt 2.0))) (/ K (cbrt 2.0)) (- M)))

series412.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
412.0ms
(cos (fma (/ (+ m n) (* (cbrt 2.0) (cbrt 2.0))) (/ K (cbrt 2.0)) (- M)))

simplify8.0s

Counts
59 → 59
Iterations
IterNodes
done5136
64178
5951
4360
3217
2134
182
053

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.1b

localize332.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
37.3b
(cos (fma (/ (+ m n) (* (cbrt 2.0) (* (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0))))) (/ K (cbrt 2.0)) (- M)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×cos-sum fma-udef
Counts
4 → 53
Calls
4 calls:
2.0ms
(cbrt 2.0)
2.0ms
(cbrt 2.0)
2.0ms
(cbrt 2.0)
6.0ms
(cos (fma (/ (+ m n) (* (cbrt 2.0) (* (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0))))) (/ K (cbrt 2.0)) (- M)))

series478.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
477.0ms
(cos (fma (/ (+ m n) (* (cbrt 2.0) (* (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0))))) (/ K (cbrt 2.0)) (- M)))

simplify5.8s

Counts
59 → 59
Iterations
IterNodes
done5001
52806
4918
3375
2165
187
055

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.1b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done20
120
016

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.3s8104×body80valid
133.0ms169×body640valid
118.0ms108×body1280valid
66.0ms117×body320valid
20.0ms51×body160valid
5.0ms3×body2560valid