Details

sample307.0ms

Algorithm

intervals

Results

154.0ms	97×	body	1280	valid
52.0ms	76×	body	640	valid
42.0ms	280×	body	80	valid
19.0ms	40×	body	320	valid
8.0ms	23×	body	160	valid

simplify3.3s

Counts: 1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.2b

localize51.0ms

Local error

Found 3 expressions with local error:

4.6b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite155.0ms

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

96.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
44.0ms	(* J (- (exp l) (exp (- l))))
14.0ms	(- (exp l) (exp (- l)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

138.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
80.0ms	(* J (- (exp l) (exp (- l))))
65.0ms	(- (exp l) (exp (- l)))

simplify1.1s

Counts: 108 → 108

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

Slowest

69.0ms	(* l (+ (* 1/3 (* l l)) 2))
33.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
22.0ms	(* 1/3 (* l l))
12.0ms	(* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2))))

series619.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

236.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
179.0ms	(* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2))))
155.0ms	(* l (+ (* 1/3 (* l l)) 2))
48.0ms	(* 1/3 (* l l))

simplify3.4s

Counts: 103 → 103

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

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

43.0ms	(* l (* 1/3 (* l l)))
35.0ms	(* (* J (fma (pow l 5) 1/60 (+ (* l (* 1/3 (* l l))) (* l 2)))) (cos (/ K 2)))
24.0ms	(* 1/3 (* l l))
7.0ms	(* J (fma (pow l 5) 1/60 (+ (* l (* 1/3 (* l l))) (* l 2))))

series544.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

223.0ms	(* J (fma (pow l 5) 1/60 (+ (* l (* 1/3 (* l l))) (* l 2))))
213.0ms	(* (* J (fma (pow l 5) 1/60 (+ (* l (* 1/3 (* l l))) (* l 2)))) (cos (/ K 2)))
74.0ms	(* l (* 1/3 (* l l)))
34.0ms	(* 1/3 (* l l))

simplify2.9s

Counts: 102 → 102

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

127×	`pow1`
36×	`pow-prod-up`
30×	`pow-prod-down`
28×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
15×	`prod-exp` `cbrt-unprod`
13×	`pow2`
11×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
6×	`fma-udef`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
1×	`swap-sqr`

Counts

4 → 136

Calls

4 calls:

Slowest

38.0ms	(* (* l l) (* l l))
32.0ms	(* (* l l) 1/3)
23.0ms	(* J (* (cos (/ K 2)) (fma 1/60 (* (* (* l l) (* l l)) l) (fma 2 l (* l (* (* l l) 1/3))))))
15.0ms	(* (cos (/ K 2)) (fma 1/60 (* (* (* l l) (* l l)) l) (fma 2 l (* l (* (* l l) 1/3)))))

series680.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

356.0ms	(* J (* (cos (/ K 2)) (fma 1/60 (* (* (* l l) (* l l)) l) (fma 2 l (* l (* (* l l) 1/3))))))
215.0ms	(* (cos (/ K 2)) (fma 1/60 (* (* (* l l) (* l l)) l) (fma 2 l (* l (* (* l l) 1/3)))))
55.0ms	(* (* l l) 1/3)
53.0ms	(* (* l l) (* l l))

simplify2.8s

Counts: 148 → 148

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes377.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch7.0ms

end0.0ms

sample10.0s

Algorithm

intervals

Results

3.8s	2633×	body	1280	valid
2.2s	2553×	body	640	valid
1.9s	8283×	body	80	valid
1.3s	1413×	body	320	valid
312.0ms	801×	body	160	valid