Details

sample111.0ms

Algorithm

intervals

Results

52.0ms	122×	body	1280	valid
18.0ms	241×	body	80	valid
17.0ms	73×	body	640	valid
5.0ms	38×	body	320	valid
2.0ms	16×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize7.0ms

Local error

Found 1 expressions with local error:

4.8b	(- (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)))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify80.0ms

Counts: 17 → 17

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 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)) (* 2 x))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

29.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
12.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
22.0ms	(* 1/60 (pow x 5))
26.0ms	(* 1/3 (pow x 3))

series384.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
180.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
74.0ms	(* 1/60 (pow x 5))
48.0ms	(* 1/3 (pow x 3))

simplify46.0ms

Counts: 92 → 92

prune294.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite82.0ms

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-+l+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

37.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
22.0ms	(* 1/60 (pow x 5))
20.0ms	(* 1/3 (pow x 3))

series218.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
71.0ms	(* 1/60 (pow x 5))
56.0ms	(* 1/3 (pow x 3))

simplify37.0ms

Counts: 78 → 78

prune250.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 1/60 (pow x 5)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
1.3b	(log (exp (* 1/60 (pow x 5))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`add-log-exp` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`pow1`
4×	`cube-prod` `sqr-pow`
3×	`log-prod` `log-pow`
2×	`pow-to-exp` `exp-prod` `exp-to-pow` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `unpow3` `rem-log-exp` `rem-exp-log`

Counts

4 → 80

Calls

4 calls:

9.0ms	(exp (* 1/60 (pow x 5)))
18.0ms	(* 1/60 (pow x 5))
14.0ms	(* 1/3 (pow x 3))
12.0ms	(log (exp (* 1/60 (pow x 5))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(exp (* 1/60 (pow x 5)))
73.0ms	(* 1/60 (pow x 5))
38.0ms	(* 1/3 (pow x 3))
75.0ms	(log (exp (* 1/60 (pow x 5))))

simplify121.0ms

Counts: 92 → 92

prune265.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify83.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.6s	3382×	body	1280	valid
719.0ms	8202×	body	80	valid
656.0ms	2537×	body	640	valid
183.0ms	1220×	body	320	valid
60.0ms	604×	body	160	valid