Details

sample110.0ms

Algorithm

intervals

Results

71.0ms	177×	body	1280	valid
11.0ms	44×	body	640	valid
9.0ms	228×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify7.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize53.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

15.0ms	(- (exp x) 2.0)
90.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- (exp x) 2.0)
105.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify55.0ms

Counts: 41 → 41

prune125.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

19.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
30.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
23.0ms	(* 1/360 (pow x 6))
24.0ms	(* 1/12 (pow x 4))

series393.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
74.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
59.0ms	(* 1/360 (pow x 6))
54.0ms	(* 1/12 (pow x 4))

simplify48.0ms

Counts: 87 → 87

prune340.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/12 (pow x 4))
44.4b	(/ (+ (pow x 4) (- (* (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))) (- (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
32×	`times-frac`
27×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`difference-of-squares`
17×	`unpow-prod-down`
12×	`add-cbrt-cube`
11×	`sqr-pow`
9×	`associate-l` `prod-exp` `distribute-lft-out` `unswap-sqr`
8×	`associate-/r*`
5×	`distribute-lft-out--` `unpow2`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`pow-to-exp` `div-sub` `pow-exp` `*-commutative` `cbrt-unprod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `neg-sub0` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `unsub-neg` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 138

Calls

4 calls:

20.0ms	(* 1/12 (pow x 4))
12.0ms	(* 1/12 (pow x 4))
12.0ms	(* 1/12 (pow x 4))
125.0ms	(/ (+ (pow x 4) (- (* (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))) (- (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 1/12 (pow x 4))
65.0ms	(* 1/12 (pow x 4))
74.0ms	(* 1/12 (pow x 4))
255.0ms	(/ (+ (pow x 4) (- (* (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))) (- (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify57.0ms

Counts: 150 → 150

prune486.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify192.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.5s	5667×	body	1280	valid
438.0ms	8235×	body	80	valid
302.0ms	1196×	body	640	valid
190.0ms	650×	body	320	valid
31.0ms	299×	body	160	valid