Details

Time bar (total: 28.8s)

sample79.0ms

Algorithm
intervals
Results
52.0ms253×body80valid
6.0ms7×body640valid
3.0ms6×body160valid
2.0ms2×body1280valid
0.0ms1×body320valid

simplify314.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
314.0ms
(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize53.0ms

Local error

Found 4 expressions with local error:

34.0b
(cos (- (/ (* K (+ m n)) 2) M))
0.0b
(pow (- (/ (+ m n) 2) M) 2)
0.0b
(* K (+ m n))
0.0b
(- (/ (* K (+ m n)) 2) M)

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×*-un-lft-identity
8×add-cube-cbrt
7×pow1 add-exp-log
6×unpow-prod-down add-cbrt-cube add-log-exp
4×associate-*r* insert-posit16
3×pow-unpow associate-*l* difference-of-squares
2×cos-sum sub-neg associate-*r/ distribute-lft-out--
1×distribute-rgt-in cos-diff pow-to-exp pow-pow distribute-lft-in flip3-+ times-frac flip3-- diff-log pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
Slowest
45.0ms
(pow (- (/ (+ m n) 2) M) 2)
30.0ms
(cos (- (/ (* K (+ m n)) 2) M))
20.0ms
(* K (+ m n))
11.0ms
(- (/ (* K (+ m n)) 2) M)

series296.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
115.0ms
(pow (- (/ (+ m n) 2) M) 2)
79.0ms
(- (/ (* K (+ m n)) 2) M)
67.0ms
(cos (- (/ (* K (+ m n)) 2) M))
35.0ms
(* K (+ m n))

simplify3.3s

Counts
44 → 84
Calls
44 calls:
Slowest
374.0ms
(/ (exp (/ (* K (+ m n)) 2)) (exp M))
335.0ms
(pow (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) 2)
210.0ms
(pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)
200.0ms
(- (pow M 2) (+ (* m M) (* M n)))
196.0ms
(pow (+ (sqrt (/ (+ m n) 2)) (sqrt M)) 2)

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.4b

localize63.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (- (/ (+ m n) 2) M) 2)
0.0b
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
0.0b
(- (/ (+ m n) 2) M)

rewrite780.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
15×add-log-exp
8×distribute-lft-out--
7×diff-log
6×unpow-prod-down
5×add-cube-cbrt difference-of-squares
4×pow1 add-exp-log
3×pow-unpow sub-neg add-cbrt-cube insert-posit16
2×distribute-rgt-neg-in times-frac flip3-- neg-log flip-- associate--r+
1×associate--l- neg-sub0 pow-to-exp pow-pow pow-exp unpow2 associate--r- sqr-pow
Counts
3 → 63
Calls
3 calls:
Slowest
678.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
53.0ms
(pow (- (/ (+ m n) 2) M) 2)
48.0ms
(- (/ (+ m n) 2) M)

series352.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
207.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
96.0ms
(pow (- (/ (+ m n) 2) M) 2)
49.0ms
(- (/ (+ m n) 2) M)

simplify5.9s

Counts
38 → 72
Calls
38 calls:
Slowest
459.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
439.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
435.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
433.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
426.0ms
(pow 1 2)

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.4b

localize102.0ms

Local error

Found 4 expressions with local error:

33.9b
(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2) M))
0.5b
(cbrt K)
0.5b
(cbrt K)
0.5b
(cbrt K)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow1/3
2×cos-sum
1×cos-diff sub-neg
Counts
4 → 47
Calls
4 calls:
Slowest
97.0ms
(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2) M))
1.0ms
(cbrt K)
1.0ms
(cbrt K)
1.0ms
(cbrt K)

series914.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
273.0ms
(cbrt K)
257.0ms
(cbrt K)
255.0ms
(cbrt K)
128.0ms
(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2) M))

simplify1.6s

Counts
24 → 59
Calls
24 calls:
Slowest
331.0ms
(* (cos (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2)) (cos M))
287.0ms
(* (cos (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2)) (cos (- M)))
241.0ms
(* (cos (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2)) (cos (- M)))
133.0ms
(cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M))
129.0ms
(cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.3b

localize108.0ms

Local error

Found 4 expressions with local error:

33.9b
(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2) M))
16.0b
(cbrt (* K (+ m n)))
16.0b
(cbrt (* K (+ m n)))
16.0b
(cbrt (* K (+ m n)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-div associate-*r/
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 add-log-exp
3×cbrt-prod flip3-+ pow1/3 flip-+
2×cos-sum
1×cos-diff sub-neg
Counts
4 → 47
Calls
4 calls:
Slowest
53.0ms
(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2) M))
10.0ms
(cbrt (* K (+ m n)))
8.0ms
(cbrt (* K (+ m n)))
5.0ms
(cbrt (* K (+ m n)))

series496.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
157.0ms
(cbrt (* K (+ m n)))
140.0ms
(cbrt (* K (+ m n)))
126.0ms
(cbrt (* K (+ m n)))
73.0ms
(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2) M))

simplify4.4s

Counts
24 → 59
Calls
24 calls:
Slowest
322.0ms
(exp (* -1/3 (+ (log (/ -1 m)) (log (/ -1 K)))))
308.0ms
(exp (* -1/3 (+ (log (/ -1 m)) (log (/ -1 K)))))
288.0ms
(exp (* -1/3 (+ (log (/ -1 m)) (log (/ -1 K)))))
275.0ms
(cbrt (* K (+ (pow m 3) (pow n 3))))
258.0ms
(cbrt (* K (+ (pow m 3) (pow n 3))))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.3b

regimes622.0ms

Accuracy

0% (0.2b remaining)

Error of 1.4b against oracle of 1.2b and baseline of 1.4b

bsearch3.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.4s8102×body80valid
535.0ms152×body640valid
197.0ms116×body1280valid
81.0ms105×body320valid
30.0ms60×body160valid
4.0ms2×body2560valid