Details

sample185.0ms

Algorithm

intervals

Results

64.0ms	88×	body	640	valid
53.0ms	74×	body	1280	valid
26.0ms	239×	body	80	valid
16.0ms	48×	body	320	valid
6.0ms	28×	body	160	valid

simplify768.0ms

Counts: 1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize46.0ms

Local error

Found 3 expressions with local error:

6.2b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite142.0ms

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

66.0ms	(* J (- (exp l) (exp (- l))))
61.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
12.0ms	(- (exp l) (exp (- l)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

126.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
101.0ms	(* J (- (exp l) (exp (- l))))
44.0ms	(- (exp l) (exp (- l)))

simplify519.0ms

Counts: 141 → 108

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
19×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
9×	`-un-lft-identity` `associate-r` `associate-l*` `prod-exp` `add-cube-cbrt`
7×	`cbrt-unprod`
6×	`pow-plus` `pow-prod-down` `pow-prod-up`
4×	`expm1-log1p-u` `unpow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `pow3` `pow-exp` `fma-udef`

Counts

4 → 91

Calls

4 calls:

Slowest

19.0ms	(* (* l l) l)
16.0ms	(* (* J (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60)))) (cos (/ K 2)))
15.0ms	(* (pow l 5) 1/60)
0.0ms	(fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))

series600.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

261.0ms	(* (* J (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60)))) (cos (/ K 2)))
178.0ms	(fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))
101.0ms	(* (pow l 5) 1/60)
60.0ms	(* (* l l) l)

simplify544.0ms

Counts: 103 → 103

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
16×	`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×	`pow-plus` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `pow-sqr` `unswap-sqr`
1×	`pow3` `fma-udef`

Counts

4 → 84

Calls

4 calls:

Slowest

34.0ms	(* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2))))
14.0ms	(* (* l l) l)
7.0ms	(* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))
0.0ms	(fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))

series584.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

223.0ms	(* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2))))
196.0ms	(fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))
101.0ms	(* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))
64.0ms	(* (* l l) l)

simplify491.0ms

Counts: 94 → 96

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

14.6b	(cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))))
14.6b	(cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))))
14.6b	(cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))))
0.5b	(* (cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2))))) (cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2))))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

Slowest

54.0ms	(* (cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2))))) (cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2))))))
12.0ms	(cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))))
10.0ms	(cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))))
9.0ms	(cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

Slowest

503.0ms	(* (cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2))))) (cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2))))))
431.0ms	(cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))))
411.0ms	(cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))))
374.0ms	(cbrt (* J (* (fma 2 l (fma 1/3 (* (* l l) l) (* (pow l 5) 1/60))) (cos (/ K 2)))))

simplify772.0ms

Counts: 85 → 82

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes559.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch6.0ms

end0.0ms

sample10.0s

Algorithm

intervals

Results

3.6s	2621×	body	1280	valid
2.7s	2527×	body	640	valid
2.0s	8303×	body	80	valid
819.0ms	1483×	body	320	valid
298.0ms	749×	body	160	valid