Details

sample114.0ms

Algorithm

intervals

Results

49.0ms	109×	body	1280	valid
20.0ms	68×	body	640	valid
13.0ms	278×	body	80	valid
9.0ms	48×	body	320	valid
2.0ms	20×	body	160	valid

simplify9.8s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b	(- (exp x) (exp (- x)))

rewrite15.0ms

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:

14.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify6.8s

Counts: 17 → 17

prune79.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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:

48.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
25.0ms	(* 1/60 (pow x 5))
28.0ms	(* 1/3 (pow x 3))

series224.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
85.0ms	(* 1/60 (pow x 5))
57.0ms	(* 1/3 (pow x 3))

simplify851.0ms

Counts: 78 → 78

prune247.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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:

20.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
16.0ms	(* 1/60 (pow x 5))
14.0ms	(* 1/3 (pow x 3))

series326.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
67.0ms	(* 1/60 (pow x 5))
47.0ms	(* 1/3 (pow x 3))

simplify661.0ms

Counts: 76 → 76

prune255.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.9s

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.6s	3391×	body	1280	valid
831.0ms	2501×	body	640	valid
704.0ms	1195×	body	320	valid
522.0ms	8125×	body	80	valid
67.0ms	614×	body	160	valid