Details

sample247.0ms

Algorithm

intervals

Results

82.0ms	91×	body	1280	valid
61.0ms	294×	body	80	valid
51.0ms	79×	body	640	valid
23.0ms	46×	body	320	valid
5.0ms	19×	body	160	valid

simplify248.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

248.0ms

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

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.4b

localize40.0ms

Local error

Found 4 expressions with local error:

7.7b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
11×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
8×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `fma-neg` `flip--`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

Slowest

63.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
61.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
52.0ms	(* J (- (exp l) (exp (- l))))
12.0ms	(- (exp l) (exp (- l)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

324.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
116.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
77.0ms	(* J (- (exp l) (exp (- l))))
49.0ms	(- (exp l) (exp (- l)))

simplify9.6s

Counts

85 → 126

Calls

85 calls:

Slowest

687.0ms	(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
442.0ms	(- (+ U (* (exp l) (* (cos (* 1/2 K)) J))) (* (cos (* 1/2 K)) (* J (exp (- l)))))
346.0ms	(* (exp (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))) (exp U))
328.0ms	(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
283.0ms	(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))

prune1.6s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
0.0b	(* l (fma 1/3 (* l l) 2))
0.0b	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

Slowest

32.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
10.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
10.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

series573.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

225.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
157.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
126.0ms	(* l (fma 1/3 (* l l) 2))
64.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

simplify9.2s

Counts

45 → 90

Calls

45 calls:

Slowest

878.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
784.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
481.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
473.0ms	(+ (log J) (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
471.0ms	(sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 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	(* 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	(* l (fma 1/3 (* l l) 2))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

Slowest

31.0ms	(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
14.0ms	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
6.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

211.0ms	(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
134.0ms	(* l (fma 1/3 (* l l) 2))
102.0ms	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
81.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

simplify8.5s

Counts

43 → 88

Calls

43 calls:

Slowest

890.0ms	(* (* (* (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))))
757.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
519.0ms	(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
463.0ms	(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
462.0ms	(sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.2b	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

17.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
2.0ms	(cbrt (cos (/ K 2)))
2.0ms	(cbrt (cos (/ K 2)))
2.0ms	(cbrt (cos (/ K 2)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

204.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
176.0ms	(cbrt (cos (/ K 2)))
143.0ms	(cbrt (cos (/ K 2)))
129.0ms	(cbrt (cos (/ K 2)))

simplify2.3s

Counts

65 → 97

Calls

65 calls:

Slowest

431.0ms	(- 1 (+ (* 1/25920 (pow K 6)) (* 1/12 (pow K 2))))
263.0ms	(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
211.0ms	(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
184.0ms	(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
154.0ms	(pow (pow (cos (* 1/2 K)) 2) 1/3)

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes496.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch9.0ms

end0.0ms

sample10.3s

Algorithm

intervals

Results

3.8s	2688×	body	1280	valid
3.0s	2554×	body	640	valid
1.7s	8426×	body	80	valid
940.0ms	1467×	body	320	valid
317.0ms	759×	body	160	valid