Details

sample165.0ms

Algorithm

intervals

Results

112.0ms	253×	body	80	valid
9.0ms	6×	body	640	valid
6.0ms	3×	body	1280	valid
2.0ms	2×	body	320	valid
1.0ms	1×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize80.0ms

Local error

Found 4 expressions with local error:

31.6b	(cos (- (* K (/ (+ m n) 2)) M))
0.0b	(* K (/ (+ m n) 2))
0.0b	(fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)
0.0b	(* (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cos (- (* K (/ (+ m n) 2)) M)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
22×	`add-cube-cbrt`
19×	`associate-r`
17×	`associate-l`
13×	`times-frac`
12×	`prod-diff`
11×	`add-cbrt-cube` `exp-sum`
10×	`add-exp-log`
8×	`pow1`
5×	`cos-sum`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cos-diff` `prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
2×	`sub-neg` `pow-prod-down` `*-commutative`
1×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `exp-diff` `div-exp` `associate-l/` `associate-r/` `fma-udef` `div-inv`

Counts

4 → 100

Calls

4 calls:

Slowest

65.0ms	(* (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cos (- (* K (/ (+ m n) 2)) M)))
35.0ms	(* K (/ (+ m n) 2))
34.0ms	(cos (- (* K (/ (+ m n) 2)) M))
0.0ms	(fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)

series735.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

369.0ms	(* (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cos (- (* K (/ (+ m n) 2)) M)))
227.0ms	(fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)
71.0ms	(* K (/ (+ m n) 2))
68.0ms	(cos (- (* K (/ (+ m n) 2)) M))

simplify664.0ms

Counts: 112 → 112

prune2.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.3b

localize36.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

0.0ms

(fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)

series196.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

196.0ms

(fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)

simplify3.2s

Counts: 14 → 14

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize98.0ms

Local error

Found 4 expressions with local error:

31.3b	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
14.3b	(cbrt (* K (/ (+ m n) 2)))
14.3b	(cbrt (* K (/ (+ m n) 2)))
14.3b	(cbrt (* K (/ (+ m n) 2)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `cos-sum` `*-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×	`cbrt-prod` `cbrt-div` `pow1/3` `prod-diff` `associate-*r/`
1×	`cos-diff` `sub-neg`

Counts

4 → 55

Calls

4 calls:

Slowest

245.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
6.0ms	(cbrt (* K (/ (+ m n) 2)))
6.0ms	(cbrt (* K (/ (+ m n) 2)))
6.0ms	(cbrt (* K (/ (+ m n) 2)))

series915.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

253.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
235.0ms	(cbrt (* K (/ (+ m n) 2)))
223.0ms	(cbrt (* K (/ (+ m n) 2)))
204.0ms	(cbrt (* K (/ (+ m n) 2)))

simplify1.8s

Counts: 67 → 67

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.3b

localize146.0ms

Local error

Found 4 expressions with local error:

31.3b	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
31.3b	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
31.3b	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
14.3b	(cbrt (* K (/ (+ m n) 2)))

rewrite690.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cos-sum`
9×	`prod-diff`
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×	`cos-diff` `sub-neg`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*r/`

Counts

4 → 61

Calls

4 calls:

Slowest

267.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
215.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
197.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
9.0ms	(cbrt (* K (/ (+ m n) 2)))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

291.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
255.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))
244.0ms	(cbrt (* K (/ (+ m n) 2)))
240.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2)))) M))

simplify1.8s

Counts: 73 → 73

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.3b

regimes814.0ms

Accuracy

0% (0.2b remaining)

Error of 1.2b against oracle of 1.0b and baseline of 1.2b

bsearch2.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.0s	8142×	body	80	valid
296.0ms	125×	body	1280	valid
214.0ms	156×	body	640	valid
91.0ms	110×	body	320	valid
25.0ms	47×	body	160	valid
5.0ms	3×	body	2560	valid