Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

520×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (30.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	25	7
3	49	7
4	140	6
5	564	6
6	2938	6
done	5000	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(exp (- (- 1.0 (* x x))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
11×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
6×	`prod-diff`
5×	`distribute-neg-in` `exp-sum`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`fma-neg` `rem-exp-log` `difference-of-squares`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `neg-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `flip3--` `exp-diff` `flip--`

Counts

2 → 52

Calls

2 calls:

6.0ms	(- 1.0 (* x x))
38.0ms	(exp (- (- 1.0 (* x x))))

series69.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- 1.0 (* x x))
28.0ms	(exp (- (- 1.0 (* x x))))

simplify871.0ms

Counts

58 → 58

Iterations

Useful iterations: done (869.0ms)

Iter	Nodes	Cost
0	96	523
1	210	501
2	836	454
done	5000	394

prune157.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))
0.0b	(exp (+ (sqrt 1.0) x))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`unpow-prod-up` `add-cube-cbrt` `distribute-neg-in`
18×	`prod-diff`
16×	`pow-unpow`
11×	`sqrt-prod`
8×	`exp-prod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`pow-pow` `add-log-exp`
4×	`unpow-prod-down` `difference-of-squares`
3×	`pow1`
2×	`add-exp-log` `expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log` `distribute-lft-out` `distribute-lft-out--`
1×	`neg-sub0` `pow-to-exp` `pow-neg` `neg-mul-1` `sub-neg` `pow-exp` `sum-log` `pow-sub` `sqr-pow`

Counts

2 → 75

Calls

2 calls:

55.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))
35.0ms	(exp (+ (sqrt 1.0) x))

series220.0ms

Counts

2 → 6

Calls

2 calls:

196.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))
24.0ms	(exp (+ (sqrt 1.0) x))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	178	1468
1	482	1244
2	1862	1107
done	5001	1069

prune188.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (+ (sqrt 1.0) x)) (/ (- (- (sqrt 1.0) x)) 2))
0.0b	(* (pow (exp (+ (sqrt 1.0) x)) (/ (- (- (sqrt 1.0) x)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (- (- (sqrt 1.0) x)) 2)))
0.0b	(exp (+ (sqrt 1.0) x))
0.0b	(exp (+ (sqrt 1.0) x))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
52×	`pow-unpow`
48×	`times-frac`
42×	`add-cube-cbrt`
26×	`unpow-prod-down`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`exp-prod` `difference-of-squares`
11×	`sqr-pow`
10×	`add-exp-log` `add-log-exp`
9×	`prod-exp` `unswap-sqr`
8×	`pow-neg` `distribute-frac-neg` `swap-sqr` `associate-r` `associate-l`
7×	`neg-sub0` `pow-to-exp` `div-sub` `exp-sum` `pow-exp` `pow-sub`
6×	`sqrt-prod` `add-cbrt-cube` `distribute-lft-out--`
5×	`pow1` `pow-pow`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `rem-exp-log`
3×	`neg-mul-1` `distribute-lft-out`
2×	`associate-r/` `associate-l/` `sum-log`
1×	`pow2` `pow-prod-down` `pow-sqr` `un-div-inv` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv`

Counts

4 → 173

Calls

4 calls:

82.0ms	(pow (exp (+ (sqrt 1.0) x)) (/ (- (- (sqrt 1.0) x)) 2))
186.0ms	(* (pow (exp (+ (sqrt 1.0) x)) (/ (- (- (sqrt 1.0) x)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (- (- (sqrt 1.0) x)) 2)))
37.0ms	(exp (+ (sqrt 1.0) x))
29.0ms	(exp (+ (sqrt 1.0) x))

series814.0ms

Counts

4 → 12

Calls

4 calls:

339.0ms	(pow (exp (+ (sqrt 1.0) x)) (/ (- (- (sqrt 1.0) x)) 2))
406.0ms	(* (pow (exp (+ (sqrt 1.0) x)) (/ (- (- (sqrt 1.0) x)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (- (- (sqrt 1.0) x)) 2)))
33.0ms	(exp (+ (sqrt 1.0) x))
35.0ms	(exp (+ (sqrt 1.0) x))

simplify3.0s

Counts

185 → 185

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	240	3944
1	717	3173
2	3497	2827
done	5002	2740

prune743.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	27
1	14	27
done	14	27

end0.0ms

sample1.3s

Algorithm

intervals

Results

910.0ms

15877×

body

valid