Details

sample117.0ms

Algorithm

intervals

Results

67.0ms	186×	body	1280	valid
23.0ms	285×	body	80	valid
8.0ms	40×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify211.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.2b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite70.0ms

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:

11.0ms	(- (exp x) 2.0)
58.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- (exp x) 2.0)
68.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify94.0ms

Counts: 41 → 41

prune91.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

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:

28.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
9.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
13.0ms	(* 1/360 (pow x 6))
12.0ms	(* 1/12 (pow x 4))

series290.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
138.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
54.0ms	(* 1/360 (pow x 6))
40.0ms	(* 1/12 (pow x 4))

simplify48.0ms

Counts: 87 → 87

prune210.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- (exp x) 2.0)))
0.0b	(- (exp x) 2.0)
0.0b	(exp (- (exp x) 2.0))
3.2b	(+ (log (exp (- (exp x) 2.0))) (exp (- x)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
10×	`log-prod` `exp-prod` `add-log-exp`
8×	`add-cube-cbrt`
7×	`log-pow`
6×	`pow1` `exp-sum`
5×	`associate-+l+`
4×	`add-exp-log` `sub-neg` `add-cbrt-cube`
3×	`exp-diff` `distribute-lft-out--` `difference-of-squares`
2×	`log-div` `diff-log` `rem-exp-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+`

Counts

4 → 70

Calls

4 calls:

25.0ms	(log (exp (- (exp x) 2.0)))
10.0ms	(- (exp x) 2.0)
26.0ms	(exp (- (exp x) 2.0))
135.0ms	(+ (log (exp (- (exp x) 2.0))) (exp (- x)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(log (exp (- (exp x) 2.0)))
16.0ms	(- (exp x) 2.0)
41.0ms	(exp (- (exp x) 2.0))
63.0ms	(+ (log (exp (- (exp x) 2.0))) (exp (- x)))

simplify78.0ms

Counts: 82 → 82

prune180.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (- (exp x) 2.0) 3))
0.0b	(pow (- (exp x) 2.0) 3)
0.0b	(exp (cbrt (pow (- (exp x) 2.0) 3)))
3.2b	(+ (log (exp (cbrt (pow (- (exp x) 2.0) 3)))) (exp (- x)))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
30×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
19×	`exp-prod`
15×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
6×	`pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div`
3×	`cube-mult` `pow-unpow` `associate-+l+` `log-prod` `unpow3` `sqr-pow`
2×	`cbrt-div` `flip3--` `flip--` `distribute-lft-out`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `sum-log` `log-pow` `rem-cbrt-cube` `flip-+` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 99

Calls

4 calls:

13.0ms	(cbrt (pow (- (exp x) 2.0) 3))
14.0ms	(pow (- (exp x) 2.0) 3)
89.0ms	(exp (cbrt (pow (- (exp x) 2.0) 3)))
325.0ms	(+ (log (exp (cbrt (pow (- (exp x) 2.0) 3)))) (exp (- x)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (pow (- (exp x) 2.0) 3))
42.0ms	(pow (- (exp x) 2.0) 3)
45.0ms	(exp (cbrt (pow (- (exp x) 2.0) 3)))
63.0ms	(+ (log (exp (cbrt (pow (- (exp x) 2.0) 3)))) (exp (- x)))

simplify40.0ms

Counts: 111 → 111

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.5s	5670×	body	1280	valid
305.0ms	8287×	body	80	valid
223.0ms	1222×	body	640	valid
69.0ms	630×	body	320	valid
22.0ms	305×	body	160	valid