Details

sample106.0ms

Algorithm

intervals

Results

72.0ms	189×	body	1280	valid
8.0ms	238×	body	80	valid
7.0ms	36×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.3b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite506.0ms

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:

22.0ms	(- (exp x) 2.0)
482.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (exp x) 2.0)
99.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify73.0ms

Counts: 41 → 41

prune168.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite96.0ms

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:

10.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
51.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
21.0ms	(* 1/360 (pow x 6))
13.0ms	(* 1/12 (pow x 4))

series460.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
81.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
91.0ms	(* 1/360 (pow x 6))
69.0ms	(* 1/12 (pow x 4))

simplify52.0ms

Counts: 87 → 87

prune301.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
11×	`add-log-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
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-+l+`

Counts

4 → 74

Calls

4 calls:

13.0ms	(+ (pow x 2) (* 1/360 (pow x 6)))
79.0ms	(+ (+ (pow x 2) (* 1/360 (pow x 6))) (* 1/12 (pow x 4)))
12.0ms	(* 1/360 (pow x 6))
30.0ms	(* 1/12 (pow x 4))

series436.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(+ (pow x 2) (* 1/360 (pow x 6)))
96.0ms	(+ (+ (pow x 2) (* 1/360 (pow x 6))) (* 1/12 (pow x 4)))
76.0ms	(* 1/360 (pow x 6))
58.0ms	(* 1/12 (pow x 4))

simplify60.0ms

Counts: 86 → 86

prune282.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
2.6b	(exp (log (+ (pow x 2) (* 1/360 (pow x 6)))))
31.9b	(log (+ (pow x 2) (* 1/360 (pow x 6))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`add-exp-log`
14×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`pow1` `log-prod` `associate-l` `prod-exp` `unswap-sqr`
4×	`log-div` `exp-prod` `add-log-exp` `sqr-pow`
3×	`exp-sum`
2×	`pow-to-exp` `flip3-+` `exp-diff` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* 1/360 (pow x 6))
16.0ms	(* 1/12 (pow x 4))
15.0ms	(exp (log (+ (pow x 2) (* 1/360 (pow x 6)))))
9.0ms	(log (+ (pow x 2) (* 1/360 (pow x 6))))

series1.1s

Counts

4 → 12

Calls

4 calls:

64.0ms	(* 1/360 (pow x 6))
74.0ms	(* 1/12 (pow x 4))
221.0ms	(exp (log (+ (pow x 2) (* 1/360 (pow x 6)))))
725.0ms	(log (+ (pow x 2) (* 1/360 (pow x 6))))

simplify182.0ms

Counts: 93 → 93

prune353.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify207.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.2s	5717×	body	1280	valid
1.0s	8105×	body	80	valid
487.0ms	1238×	body	640	valid
101.0ms	590×	body	320	valid
32.0ms	295×	body	160	valid