Details

Time bar (total: 27.6s)

sample64.0ms

Algorithm
intervals
Results
31.0ms262×body80valid
2.0ms4×body1280valid
2.0ms4×body320valid
1.0ms2×body640valid

simplify2.7s

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

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0)))
0.0b
(* (+ m n) K)
0.0b
(pow (- (/ (+ m n) 2.0) M) 2.0)
33.3b
(cos (- (/ (* (+ m n) K) 2.0) M))

rewrite912.0ms

Algorithm
rewrite-expression-head
Rules
105×add-sqr-sqrt
87×*-un-lft-identity
80×prod-diff
63×exp-sum
48×add-cube-cbrt
37×unpow-prod-down
25×difference-of-squares
23×cos-sum
19×distribute-lft-out--
15×times-frac
11×associate--l+
10×add-log-exp
8×exp-prod
7×pow1 add-exp-log sqr-pow
6×add-cbrt-cube
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×pow-unpow sub-neg diff-log associate-*r* div-inv rem-exp-log
2×associate-*l/
1×cos-diff pow-to-exp pow-pow flip3-+ exp-diff pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 162
Calls
4 calls:
778.0ms
(exp (- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0)))
23.0ms
(* (+ m n) K)
70.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
33.0ms
(cos (- (/ (* (+ m n) K) 2.0) M))

series737.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(exp (- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0)))
24.0ms
(* (+ m n) K)
404.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
104.0ms
(cos (- (/ (* (+ m n) K) 2.0) M))

simplify2.2s

Counts
174 → 174
Iterations
IterNodes
done5001
22131
1995
0497

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite874.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
68×*-un-lft-identity
63×exp-sum
59×prod-diff
37×unpow-prod-down
31×add-cube-cbrt
25×difference-of-squares
19×distribute-lft-out--
11×associate--l+
8×exp-prod add-log-exp
7×sqr-pow
6×times-frac
3×pow1 pow-unpow diff-log add-exp-log rem-exp-log
2×expm1-log1p-u sub-neg add-cbrt-cube log1p-expm1-u
1×pow-to-exp pow-pow exp-diff pow-exp
Counts
2 → 106
Calls
2 calls:
797.0ms
(exp (- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0)))
65.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)

series629.0ms

Counts
2 → 6
Calls
2 calls:
207.0ms
(exp (- (- (fabs (- m n)) l) (pow (- (/ (+ m n) 2.0) M) 2.0)))
421.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify3.2s

Counts
112 → 112
Iterations
IterNodes
done5000
34847
21436
1621
0292

prune989.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize100.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (+ m n) (sqrt 2.0))
0.5b
(/ (+ m n) (sqrt 2.0))
33.1b
(sin (fma (/ (+ m n) (sqrt 2.0)) (/ K (sqrt 2.0)) (- (* M 1))))
33.3b
(cos (fma (/ (+ m n) (sqrt 2.0)) (/ K (sqrt 2.0)) (- (* M 1))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
48×times-frac
38×add-sqr-sqrt add-cube-cbrt
30×sqrt-prod
14×distribute-lft-out
12×associate-/r*
8×add-cbrt-cube add-exp-log associate-/l*
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ fma-udef div-inv
1×cos-sum sin-sum
Counts
4 → 120
Calls
4 calls:
16.0ms
(/ (+ m n) (sqrt 2.0))
16.0ms
(/ (+ m n) (sqrt 2.0))
2.0ms
(sin (fma (/ (+ m n) (sqrt 2.0)) (/ K (sqrt 2.0)) (- (* M 1))))
2.0ms
(cos (fma (/ (+ m n) (sqrt 2.0)) (/ K (sqrt 2.0)) (- (* M 1))))

series1.3s

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ (+ m n) (sqrt 2.0))
132.0ms
(/ (+ m n) (sqrt 2.0))
304.0ms
(sin (fma (/ (+ m n) (sqrt 2.0)) (/ K (sqrt 2.0)) (- (* M 1))))
775.0ms
(cos (fma (/ (+ m n) (sqrt 2.0)) (/ K (sqrt 2.0)) (- (* M 1))))

simplify2.4s

Counts
132 → 132
Iterations
IterNodes
done5006
43537
31458
2596
1273
0142

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize153.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
33.1b
(sin (fma (/ (+ m n) (sqrt 2.0)) (/ K (sqrt 2.0)) (- (* M 1))))
33.6b
(cos (fma (/ (/ (+ m n) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cbrt 2.0))) (/ K (sqrt 2.0)) (- (* M 1))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
2×pow1/3 fma-udef
1×cos-sum sin-sum
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
2.0ms
(sin (fma (/ (+ m n) (sqrt 2.0)) (/ K (sqrt 2.0)) (- (* M 1))))
2.0ms
(cos (fma (/ (/ (+ m n) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cbrt 2.0))) (/ K (sqrt 2.0)) (- (* M 1))))

series1.1s

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
310.0ms
(sin (fma (/ (+ m n) (sqrt 2.0)) (/ K (sqrt 2.0)) (- (* M 1))))
768.0ms
(cos (fma (/ (/ (+ m n) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cbrt 2.0))) (/ K (sqrt 2.0)) (- (* M 1))))

simplify2.1s

Counts
54 → 54
Iterations
IterNodes
done5001
41629
3695
2322
1172
093

prune938.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

regimes587.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done20
120
016

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.6s8096×body80valid
508.0ms126×body320valid
148.0ms148×body640valid
117.0ms125×body1280valid
21.0ms69×body160valid
3.0ms2×body2560valid