Details

sample162.0ms

Algorithm

intervals

Results

109.0ms	188×	body	1280	valid
15.0ms	288×	body	80	valid
14.0ms	41×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	7×	body	160	valid

simplify239.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	49	8
5	54	8
6	63	8
7	80	8
8	95	8
9	103	8
10	111	8
done	111	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite96.0ms

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:

14.0ms	(- (exp x) 2.0)
81.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- (exp x) 2.0)
70.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.9s

Counts

41 → 41

Iterations

Useful iterations: 3 (591.0ms)

Iter	Nodes	Cost
0	93	511
1	204	465
2	579	445
3	2107	432
done	5000	432

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 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))

rewrite97.0ms

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:

14.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
28.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
31.0ms	(* 1/360 (pow x 6))
20.0ms	(* 1/12 (pow x 4))

series400.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
67.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
70.0ms	(* 1/360 (pow x 6))
59.0ms	(* 1/12 (pow x 4))

simplify4.5s

Counts

87 → 87

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	133	1068
1	331	934
2	952	888
3	4364	870
done	5001	868

prune351.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 2.0)
0.0b	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
0.0b	(pow (exp x) 3)
3.2b	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))) (exp (- x)))

rewrite585.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `pow-pow`
3×	`+-commutative` `unpow-prod-down` `pow-unpow` `exp-prod` `flip3-+` `cube-prod` `sum-log` `flip-+`
2×	`associate-+l+` `frac-add` `distribute-lft-out`
1×	`neg-sub0` `distribute-rgt-in` `exp-neg` `cube-mult` `pow-to-exp` `associate-+l-` `distribute-lft-in` `exp-diff` `unpow3` `div-sub` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

9.0ms	(+ (exp x) 2.0)
42.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
9.0ms	(pow (exp x) 3)
522.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))) (exp (- x)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 2.0)
44.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
39.0ms	(pow (exp x) 3)
294.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))) (exp (- x)))

simplify1.1s

Counts

78 → 78

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	159	1231
1	395	1158
2	1432	1053
done	5000	1016

prune338.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (exp x) 2.0) (exp (- x)))
0.0b	(pow (- (exp x) 2.0) 3)
0.0b	(exp (* x -3))
3.9b	(+ (pow (- (exp x) 2.0) 3) (exp (* x -3)))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube` `distribute-lft-out--`
4×	`flip3--` `frac-sub` `flip--`
3×	`pow-unpow` `diff-log` `difference-of-squares`
2×	`cube-div` `neg-sub0` `exp-neg` `sub-neg` `exp-diff` `associate--l+`
1×	`+-commutative` `associate--l-` `cube-mult` `pow-to-exp` `exp-prod` `exp-to-pow` `pow-pow` `flip3-+` `unpow3` `pow-exp` `sum-log` `flip-+` `rem-exp-log` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

102.0ms	(- (- (exp x) 2.0) (exp (- x)))
28.0ms	(pow (- (exp x) 2.0) 3)
8.0ms	(exp (* x -3))
193.0ms	(+ (pow (- (exp x) 2.0) 3) (exp (* x -3)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (- (exp x) 2.0) (exp (- x)))
51.0ms	(pow (- (exp x) 2.0) 3)
12.0ms	(exp (* x -3))
204.0ms	(+ (pow (- (exp x) 2.0) 3) (exp (* x -3)))

simplify1.0s

Counts

86 → 86

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	176	1115
1	425	996
2	1307	931
done	5001	911

prune373.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	17	15
done	17	15

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.0s	5655×	body	1280	valid
795.0ms	1224×	body	640	valid
464.0ms	8061×	body	80	valid
152.0ms	640×	body	320	valid
38.0ms	311×	body	160	valid