Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

544×

body

valid

simplify64.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	25	4
2	49	4
3	96	4
4	253	4
5	821	4
6	3115	4
7	5001	4
done	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

21.0ms

(exp (- (- 1.0 (* x x))))

series26.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(exp (- (- 1.0 (* x x))))

simplify72.0ms

Counts

34 → 34

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	140	176
1	392	156
2	1701	140
3	5001	133
done	5001	133

prune200.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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:

21.0ms	(exp (+ (sqrt 1.0) x))
44.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

series197.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(exp (+ (sqrt 1.0) x))
175.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

simplify41.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	410	888
1	1452	728
2	5001	569
done	5001	569

prune139.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

35.0ms	(pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2))
109.0ms	(* (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)))
22.0ms	(exp (+ (sqrt 1.0) x))
24.0ms	(exp (+ (sqrt 1.0) x))

series460.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2))
236.0ms	(* (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)))
21.0ms	(exp (+ (sqrt 1.0) x))
22.0ms	(exp (+ (sqrt 1.0) x))

simplify59.0ms

Counts

148 → 148

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	429	1548
1	1910	1389
2	5001	1340
done	5001	1340

prune335.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	6	4
done	6	4

end0.0ms

sample555.0ms

Algorithm

intervals

Results

330.0ms

15898×

body

valid