Details

sample68.0ms

Algorithm

intervals

Results

29.0ms	106×	body	1280	valid
14.0ms	86×	body	640	valid
9.0ms	261×	body	80	valid
4.0ms	37×	body	320	valid
1.0ms	18×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize7.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (exp x) (exp (- x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

7.0ms

(- (exp x) (exp (- x)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- (exp x) (exp (- x)))

simplify1.3s

Counts

17 → 17

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	46	185
1	102	176
2	231	158
3	504	157
4	1592	157
done	5001	157

prune47.0ms

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	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

9.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
6.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series284.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
132.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
52.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (pow x 3))

simplify619.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	137	1055
1	365	917
2	1106	873
done	5001	873

prune206.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
5.6b	(- (exp (+ x x)) (exp (* x -2)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
24×	`times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`exp-sum` `associate-/l*` `distribute-lft-out--`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 66

Calls

2 calls:

69.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
26.0ms	(- (exp (+ x x)) (exp (* x -2)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
43.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	135	1662
1	318	1615
2	782	1483
3	2527	1447
done	5001	1446

prune181.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp x) (exp (- x))))
0.1b	(/ (/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
0.3b	(/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x)))))
5.6b	(- (exp (+ x x)) (exp (* x -2)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

714×	`times-frac`
625×	`*-un-lft-identity`
481×	`add-sqr-sqrt`
420×	`sqrt-prod`
285×	`add-cube-cbrt`
130×	`difference-of-squares`
105×	`distribute-lft-out`
65×	`exp-sum` `distribute-lft-out--`
54×	`associate-/l*`
22×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
11×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 512

Calls

4 calls:

9.0ms	(sqrt (+ (exp x) (exp (- x))))
95.0ms	(/ (/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
71.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x)))))
26.0ms	(- (exp (+ x x)) (exp (* x -2)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (+ (exp x) (exp (- x))))
80.0ms	(/ (/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
162.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x)))))
46.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.1s

Counts

524 → 524

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	499	22477
1	1155	20081
2	2770	18809
done	5001	18803

prune812.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	20	17
done	20	17

end0.0ms

sample2.0s

Algorithm

intervals

Results

945.0ms	3336×	body	1280	valid
425.0ms	2470×	body	640	valid
201.0ms	8206×	body	80	valid
134.0ms	1249×	body	320	valid
44.0ms	683×	body	160	valid