Details

sample338.0ms

Algorithm

intervals

Results

106.0ms	99×	body	1280	valid
89.0ms	94×	body	640	valid
85.0ms	286×	body	80	valid
17.0ms	33×	body	320	valid
8.0ms	24×	body	160	valid

simplify3.7s

Counts: 1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.2b

localize57.0ms

Local error

Found 3 expressions with local error:

5.3b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite138.0ms

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

73.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
47.0ms	(* J (- (exp l) (exp (- l))))
17.0ms	(- (exp l) (exp (- l)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

118.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
74.0ms	(* J (- (exp l) (exp (- l))))
63.0ms	(- (exp l) (exp (- l)))

simplify1.3s

Counts: 108 → 108

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `fma-def` `distribute-lft-in`

Counts

4 → 83

Calls

4 calls:

Slowest

32.0ms	(+ (* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2))) U)
25.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2)))
22.0ms	(* l (+ 2 (* 1/3 (* l l))))
19.0ms	(* 1/3 (* l l))

series697.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

303.0ms	(+ (* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2))) U)
208.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2)))
134.0ms	(* l (+ 2 (* 1/3 (* l l))))
51.0ms	(* 1/3 (* l l))

simplify3.5s

Counts: 95 → 95

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2))))
0.1b	(* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2)))
0.1b	(* (* l (* l l)) (* l l))
0.1b	(* l (* l l))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

107×	`pow1`
50×	`pow-prod-up`
37×	`add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`pow2` `pow-plus` `associate-l` `pow-sqr`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
5×	`cube-unmult`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 120

Calls

4 calls:

Slowest

58.0ms	(* (* l (* l l)) (* l l))
19.0ms	(* l (* l l))
16.0ms	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2))))
7.0ms	(* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2)))

series811.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

466.0ms	(* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2)))
212.0ms	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2))))
76.0ms	(* (* l (* l l)) (* l l))
56.0ms	(* l (* l l))

simplify2.3s

Counts: 132 → 132

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(* l (sqrt (+ 2 (* 1/3 (* l l)))))
0.4b	(* (* l (sqrt (+ 2 (* 1/3 (* l l))))) (sqrt (+ 2 (* 1/3 (* l l)))))
0.2b	(* 1/3 (* l l))
0.2b	(* 1/3 (* l l))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
14×	`sqrt-div` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`flip3-+` `sqrt-prod` `flip-+`
4×	`expm1-log1p-u` `frac-times` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 103

Calls

4 calls:

Slowest

51.0ms	(* (* l (sqrt (+ 2 (* 1/3 (* l l))))) (sqrt (+ 2 (* 1/3 (* l l)))))
33.0ms	(* l (sqrt (+ 2 (* 1/3 (* l l)))))
23.0ms	(* 1/3 (* l l))
16.0ms	(* 1/3 (* l l))

series386.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

178.0ms	(* l (sqrt (+ 2 (* 1/3 (* l l)))))
130.0ms	(* (* l (sqrt (+ 2 (* 1/3 (* l l))))) (sqrt (+ 2 (* 1/3 (* l l)))))
41.0ms	(* 1/3 (* l l))
37.0ms	(* 1/3 (* l l))

simplify2.1s

Counts: 115 → 115

prune2.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes442.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample9.6s

Algorithm

intervals

Results

3.0s	2693×	body	1280	valid
3.0s	2625×	body	640	valid
1.9s	8552×	body	80	valid
785.0ms	1441×	body	320	valid
289.0ms	758×	body	160	valid