Details

sample118.0ms

Algorithm

intervals

Results

49.0ms	98×	body	1280	valid
28.0ms	91×	body	640	valid
11.0ms	235×	body	80	valid
6.0ms	33×	body	320	valid
3.0ms	27×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize12.0ms

Local error

Found 1 expressions with local error:

7.4b	(- (exp x) (exp (- x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

23.0ms

(- (exp x) (exp (- x)))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(- (exp x) (exp (- x)))

simplify62.0ms

Counts: 17 → 17

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

27.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
12.0ms	(* 1/60 (pow x 5))
13.0ms	(* 1/3 (pow x 3))

series230.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
84.0ms	(* 1/60 (pow x 5))
56.0ms	(* 1/3 (pow x 3))

simplify35.0ms

Counts: 78 → 78

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

15.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
12.0ms	(* 1/60 (pow x 5))
13.0ms	(* 1/3 (pow x 3))

series305.0ms

Counts

3 → 9

Calls

3 calls:

188.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
71.0ms	(* 1/60 (pow x 5))
46.0ms	(* 1/3 (pow x 3))

simplify256.0ms

Counts: 76 → 76

prune266.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify113.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.1s	3381×	body	1280	valid
745.0ms	2417×	body	640	valid
426.0ms	8091×	body	80	valid
207.0ms	1242×	body	320	valid
108.0ms	678×	body	160	valid