Details

sample115.0ms

Algorithm

intervals

Results

50.0ms	100×	body	1280	valid
24.0ms	82×	body	640	valid
12.0ms	256×	body	80	valid
10.0ms	45×	body	320	valid
2.0ms	18×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize25.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) (exp (- x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

16.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify826.0ms

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
3	1367
2	333
1	109
0	46

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

70.0ms	(+ (+ x x) (+ (* (pow x 3) 1/3) (* (pow x 5) 1/60)))
7.0ms	(+ (* (pow x 3) 1/3) (* (pow x 5) 1/60))
9.0ms	(* (pow x 5) 1/60)
10.0ms	(* (pow x 3) 1/3)

series409.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (+ x x) (+ (* (pow x 3) 1/3) (* (pow x 5) 1/60)))
205.0ms	(+ (* (pow x 3) 1/3) (* (pow x 5) 1/60))
82.0ms	(* (pow x 5) 1/60)
45.0ms	(* (pow x 3) 1/3)

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2356
1	460
0	160

prune363.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (- x)) (exp x))
0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
5.5b	(- (exp (+ x x)) (exp (* x -2)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

14.0ms	(+ (exp (- x)) (exp x))
114.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
69.0ms	(- (exp (+ x x)) (exp (* x -2)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (exp (- x)) (exp x))
103.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
55.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify761.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1563
1	385
0	150

prune394.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x)))) 3)
0.0b	(pow (exp x) -2)
0.1b	(cbrt (pow (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x)))) 3))
5.5b	(- (exp (+ x x)) (pow (exp x) -2))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

188×	`add-sqr-sqrt`
183×	`*-un-lft-identity`
160×	`times-frac`
129×	`unpow-prod-down`
102×	`difference-of-squares`
98×	`cbrt-prod`
92×	`cube-prod`
69×	`add-cube-cbrt`
51×	`exp-sum`
40×	`distribute-lft-out`
37×	`sqr-pow`
17×	`distribute-lft-out--`
8×	`associate-/r/`
7×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `pow-unpow` `add-log-exp`
5×	`pow-pow`
4×	`flip3-+` `flip-+` `div-inv`
3×	`exp-prod` `pow-exp`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `rem-cube-cbrt`
1×	`cbrt-undiv` `cbrt-div` `sub-neg` `flip3--` `pow1/3` `diff-log` `div-exp` `rem-cbrt-cube` `flip--`

Counts

4 → 259

Calls

4 calls:

103.0ms	(pow (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x)))) 3)
4.0ms	(pow (exp x) -2)
108.0ms	(cbrt (pow (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x)))) 3))
80.0ms	(- (exp (+ x x)) (pow (exp x) -2))

series429.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(pow (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x)))) 3)
20.0ms	(pow (exp x) -2)
138.0ms	(cbrt (pow (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x)))) 3))
82.0ms	(- (exp (+ x x)) (pow (exp x) -2))

simplify607.0ms

Counts

271 → 271

Iterations

Iter	Nodes
done	5001
1	1308
0	352

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.2s	3453×	body	1280	valid
878.0ms	2426×	body	640	valid
451.0ms	8001×	body	80	valid
310.0ms	1235×	body	320	valid
72.0ms	607×	body	160	valid