Details

sample156.0ms

Algorithm

intervals

Results

106.0ms	194×	body	1280	valid
14.0ms	38×	body	640	valid
12.0ms	263×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	7×	body	160	valid

simplify11.1s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
2.7b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite155.0ms

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)
130.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (exp x) 2.0)
99.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.2s

Counts: 41 → 41

prune155.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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

rewrite110.0ms

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:

21.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
35.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
25.0ms	(* 1/360 (pow x 6))
24.0ms	(* 1/12 (pow x 4))

series443.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
71.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
97.0ms	(* 1/360 (pow x 6))
71.0ms	(* 1/12 (pow x 4))

simplify760.0ms

Counts: 87 → 87

prune365.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/12 (pow x 4))
30.0b	(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
30.0b	(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-exp-log` `associate-r`
12×	`add-cube-cbrt`
8×	`unpow-prod-down` `sqrt-prod` `add-cbrt-cube`
6×	`pow1` `associate-l` `prod-exp` `unswap-sqr`
4×	`sqrt-div` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 82

Calls

4 calls:

16.0ms	(* 1/12 (pow x 4))
13.0ms	(* 1/12 (pow x 4))
66.0ms	(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
60.0ms	(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 1/12 (pow x 4))
60.0ms	(* 1/12 (pow x 4))
164.0ms	(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
156.0ms	(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify2.4s

Counts: 94 → 94

prune517.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

1.7b	(- (+ (exp (* -1 x)) (exp x)) 2.0)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

113.0ms

(- (+ (exp (* -1 x)) (exp x)) 2.0)

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(- (+ (exp (* -1 x)) (exp x)) 2.0)

simplify561.0ms

Counts: 20 → 20

prune39.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0.7% (0.7b remaining)

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

bsearch0.0ms

simplify998.0ms

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.0s	5734×	body	1280	valid
770.0ms	1220×	body	640	valid
478.0ms	8086×	body	80	valid
119.0ms	582×	body	320	valid
33.0ms	310×	body	160	valid