Details

sample271.0ms

Algorithm

intervals

Results

88.0ms	83×	body	1280	valid
69.0ms	247×	body	80	valid
59.0ms	83×	body	640	valid
25.0ms	53×	body	320	valid
10.0ms	29×	body	160	valid

simplify277.0ms

Calls

1 calls:

Slowest

276.0ms

(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.8b

localize39.0ms

Local error

Found 3 expressions with local error:

6.6b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`prod-diff`
20×	`associate-l`
13×	`associate-r`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp` `unswap-sqr`
4×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/`
1×	`diff-log`

Calls

3 calls:

Slowest

226.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
71.0ms	(* J (- (exp l) (exp (- l))))
19.0ms	(- (exp l) (exp (- l)))

series288.0ms

Calls

3 calls:

Slowest

117.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
97.0ms	(* J (- (exp l) (exp (- l))))
74.0ms	(- (exp l) (exp (- l)))

simplify9.8s

Calls

95 calls:

Slowest

680.0ms	(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
329.0ms	(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
307.0ms	(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
305.0ms	(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
285.0ms	(* J (- (exp l) (exp (* -1 l))))

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
0.0b	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
0.0b	(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
0.0b	(* l (fma 1/3 (* l l) 2))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-l`
31×	`add-sqr-sqrt`
22×	`fma-def`
21×	`*-un-lft-identity`
15×	`associate-r` `add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`unswap-sqr`
6×	`add-log-exp`
5×	`*-commutative`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-udef` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `flip-+`

Calls

4 calls:

Slowest

101.0ms	(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
36.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
11.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

series750.0ms

Calls

4 calls:

Slowest

287.0ms	(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
232.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
144.0ms	(* l (fma 1/3 (* l l) 2))
87.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

simplify14.2s

Calls

68 calls:

Slowest

814.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
618.0ms	(* (cbrt (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))) (cbrt (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))))
497.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
484.0ms	(* J (* (cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))))
480.0ms	(* (cbrt (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (cbrt (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))))

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
0.1b	(fma J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))) U)
0.0b	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
0.0b	(* l (fma 1/3 (* l l) 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Calls

4 calls:

Slowest

11.0ms	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
8.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))) U)
0.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

series697.0ms

Calls

4 calls:

Slowest

354.0ms	(fma J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))) U)
139.0ms	(* l (fma 1/3 (* l l) 2))
122.0ms	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
82.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

simplify7.4s

Calls

34 calls:

Slowest

871.0ms	(* (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
834.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
524.0ms	(+ (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (log (cos (/ K 2))))
510.0ms	(* (cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
475.0ms	(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* J (cos (/ K 2)))
0.0b	(fma (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (* J (cos (/ K 2))) U)
0.0b	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
0.0b	(* l (fma 1/3 (* l l) 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Calls

4 calls:

Slowest

22.0ms	(* J (cos (/ K 2)))
6.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (* J (cos (/ K 2))) U)
0.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

series487.0ms

Calls

4 calls:

Slowest

223.0ms	(fma (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (* J (cos (/ K 2))) U)
129.0ms	(* l (fma 1/3 (* l l) 2))
69.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
65.0ms	(* J (cos (/ K 2)))

simplify3.2s

Calls

34 calls:

Slowest

845.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
371.0ms	(+ (* 1/60 (pow l 5)) (+ (* 1/3 (pow l 3)) (* 2 l)))
342.0ms	(* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
321.0ms	(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
292.0ms	(+ (* 1/60 (pow l 5)) (+ (* 1/3 (pow l 3)) (* 2 l)))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes492.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch6.0ms

end0.0ms

sample10.5s

Algorithm

intervals

Results

4.8s	2662×	body	1280	valid
2.3s	2597×	body	640	valid
1.6s	8442×	body	80	valid
1.1s	1390×	body	320	valid
308.0ms	772×	body	160	valid