Details

sample314.0ms

Algorithm

intervals

Results

91.0ms	292×	body	80	valid
79.0ms	66×	body	1280	valid
78.0ms	89×	body	640	valid
26.0ms	38×	body	320	valid
11.0ms	31×	body	160	valid

simplify309.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

308.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize27.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

Slowest

80.0ms	(* J (- (exp l) (exp (- l))))
77.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
18.0ms	(- (exp l) (exp (- l)))

series314.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

143.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
101.0ms	(* J (- (exp l) (exp (- l))))
70.0ms	(- (exp l) (exp (- l)))

simplify8.8s

Counts

80 → 108

Calls

80 calls:

Slowest

603.0ms	(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
352.0ms	(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
341.0ms	(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
307.0ms	(* J (- (exp l) (exp (* -1 l))))
286.0ms	(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

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

rewrite63.0ms

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

36.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
12.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
12.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

series667.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

233.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
227.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
105.0ms	(* l (fma 1/3 (* l l) 2))
102.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

simplify9.1s

Counts

45 → 90

Calls

45 calls:

Slowest

844.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
749.0ms	(+ (* 1/60 (pow l 5)) (+ (* 1/3 (pow l 3)) (* 2 l)))
519.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
468.0ms	(+ (log J) (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
449.0ms	(* (sqrt J) (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

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))

rewrite41.0ms

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

19.0ms	(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
15.0ms	(* (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)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

222.0ms	(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
133.0ms	(* l (fma 1/3 (* l l) 2))
114.0ms	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
88.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

simplify8.8s

Counts

43 → 88

Calls

43 calls:

Slowest

981.0ms	(* (* (* (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))))
832.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
529.0ms	(sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
478.0ms	(+ (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (log (cos (/ K 2))))
464.0ms	(* (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)))))

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (* 1/60 (pow l 5)) J)
0.1b	(* (+ (* (* 1/60 (pow l 5)) J) (* (* l (fma 1/3 (* l l) 2)) J)) (cos (/ K 2)))
0.0b	(* 1/60 (pow l 5))
0.0b	(* (* l (fma 1/3 (* l l) 2)) J)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt` `add-cbrt-cube`
16×	`associate-r`
14×	`prod-exp`
13×	`pow1`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
8×	`cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `unpow-prod-down` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `associate-*l/` `pow-exp` `sqr-pow`
1×	`flip3-+` `distribute-rgt-out` `flip-+`

Counts

4 → 95

Calls

4 calls:

Slowest

82.0ms	(* (+ (* (* 1/60 (pow l 5)) J) (* (* l (fma 1/3 (* l l) 2)) J)) (cos (/ K 2)))
36.0ms	(* (* 1/60 (pow l 5)) J)
32.0ms	(* (* l (fma 1/3 (* l l) 2)) J)
19.0ms	(* 1/60 (pow l 5))

series403.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

197.0ms	(* (+ (* (* 1/60 (pow l 5)) J) (* (* l (fma 1/3 (* l l) 2)) J)) (cos (/ K 2)))
87.0ms	(* (* l (fma 1/3 (* l l) 2)) J)
74.0ms	(* 1/60 (pow l 5))
45.0ms	(* (* 1/60 (pow l 5)) J)

simplify7.3s

Counts

60 → 107

Calls

60 calls:

Slowest

617.0ms	(* (* (* (+ (* (* 1/60 (pow l 5)) J) (* (* l (fma 1/3 (* l l) 2)) J)) (+ (* (* 1/60 (pow l 5)) J) (* (* l (fma 1/3 (* l l) 2)) J))) (+ (* (* 1/60 (pow l 5)) J) (* (* l (fma 1/3 (* l l) 2)) J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
375.0ms	(+ (* 1/3 (* J (pow l 3))) (* 2 (* J l)))
364.0ms	(+ (+ (log 1/60) (log (pow l 5))) (log J))
332.0ms	(* (+ (pow (* (* 1/60 (pow l 5)) J) 3) (pow (* (* l (fma 1/3 (* l l) 2)) J) 3)) (cos (/ K 2)))
328.0ms	(+ (* 1/3 (* J (pow l 3))) (* 2 (* J l)))

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes441.0ms

Accuracy

0% (0.3b remaining)

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

bsearch6.0ms

end0.0ms

sample10.2s

Algorithm

intervals

Results

3.8s	2659×	body	1280	valid
2.8s	2565×	body	640	valid
2.1s	8547×	body	80	valid
842.0ms	1422×	body	320	valid
252.0ms	738×	body	160	valid