Details

sample318.0ms

Algorithm

intervals

Results

108.0ms	94×	body	1280	valid
92.0ms	86×	body	640	valid
46.0ms	50×	body	320	valid
43.0ms	264×	body	80	valid
8.0ms	22×	body	160	valid

simplify291.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

290.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.4b

localize28.0ms

Local error

Found 3 expressions with local error:

4.9b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite172.0ms

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

83.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
64.0ms	(* J (- (exp l) (exp (- l))))
23.0ms	(- (exp l) (exp (- l)))

series301.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

138.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
97.0ms	(* J (- (exp l) (exp (- l))))
65.0ms	(- (exp l) (exp (- l)))

simplify8.9s

Counts

80 → 108

Calls

80 calls:

Slowest

982.0ms	(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
330.0ms	(* J (- (exp l) (exp (* -1 l))))
313.0ms	(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
291.0ms	(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
277.0ms	(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))

prune1.6s

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	(* 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)

rewrite85.0ms

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`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
2×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

4 → 82

Calls

4 calls:

Slowest

42.0ms	(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
19.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
12.0ms	(* l (fma 1/3 (* l l) 2))
11.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))

series859.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

316.0ms	(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
224.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
199.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
120.0ms	(* l (fma 1/3 (* l l) 2))

simplify8.4s

Counts

47 → 94

Calls

47 calls:

Slowest

827.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
525.0ms	(* (sqrt J) (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
499.0ms	(* (sqrt J) (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
462.0ms	(+ (log J) (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
443.0ms	(sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* l l))
0.1b	(* l (* 1/3 (* l l)))
0.1b	(* (* J (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2)))) (cos (/ K 2)))
0.0b	(* J (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

Slowest

66.0ms	(* l (* 1/3 (* l l)))
32.0ms	(* (* J (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2)))) (cos (/ K 2)))
14.0ms	(* 1/3 (* l l))
12.0ms	(* J (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))))

series507.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

220.0ms	(* (* J (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2)))) (cos (/ K 2)))
183.0ms	(* J (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))))
52.0ms	(* l (* 1/3 (* l l)))
50.0ms	(* 1/3 (* l l))

simplify8.5s

Counts

55 → 102

Calls

55 calls:

Slowest

522.0ms	(* (* (* l l) l) (* (* (* 1/3 1/3) 1/3) (* (* (* l l) (* l l)) (* l l))))
496.0ms	(* (* (* l l) l) (* (* (* 1/3 (* l l)) (* 1/3 (* l l))) (* 1/3 (* l l))))
485.0ms	(* (sqrt J) (sqrt (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2)))))
450.0ms	(* (sqrt J) (sqrt (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2)))))
433.0ms	(fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2)))

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))) (cos (/ K 2)))
0.2b	(* 1/3 (* l l))
0.1b	(* l (* 1/3 (* l l)))
0.1b	(* J (* (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))) (cos (/ K 2))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 88

Calls

4 calls:

Slowest

74.0ms	(* l (* 1/3 (* l l)))
27.0ms	(* 1/3 (* l l))
21.0ms	(* J (* (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))) (cos (/ K 2))))
15.0ms	(* (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))) (cos (/ K 2)))

series787.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

475.0ms	(* (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))) (cos (/ K 2)))
226.0ms	(* J (* (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))) (cos (/ K 2))))
54.0ms	(* l (* 1/3 (* l l)))
32.0ms	(* 1/3 (* l l))

simplify7.3s

Counts

53 → 100

Calls

53 calls:

Slowest

609.0ms	(* (* (* l l) l) (* (* (* 1/3 (* l l)) (* 1/3 (* l l))) (* 1/3 (* l l))))
473.0ms	(sqrt (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))))
463.0ms	(* (* (* l l) l) (* (* (* 1/3 1/3) 1/3) (* (* (* l l) (* l l)) (* l l))))
423.0ms	(* (* (* J J) J) (* (* (* (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))) (cos (/ K 2))) (* (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))) (cos (/ K 2)))) (* (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2))) (cos (/ K 2)))))
423.0ms	(* (cbrt (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2)))) (cbrt (fma 1/60 (pow l 5) (+ (* l (* 1/3 (* l l))) (* l 2)))))

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes452.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample10.2s

Algorithm

intervals

Results

4.1s	2762×	body	1280	valid
2.8s	2656×	body	640	valid
1.4s	8383×	body	80	valid
707.0ms	1444×	body	320	valid
659.0ms	744×	body	160	valid