Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

495×

body

valid

simplify64.0ms

Algorithm

egg-herbie

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

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))))

rewrite6.0ms

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:

5.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify58.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (55.0ms)

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

prune59.0ms

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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

6.0ms	(exp (- (+ (sqrt 1.0) x)))
12.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series365.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(exp (- (+ (sqrt 1.0) x)))
335.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	372	925
1	1306	780
2	5001	776

prune156.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
80×	`unpow-prod-up`
72×	`prod-diff`
71×	`*-un-lft-identity`
67×	`add-cube-cbrt`
44×	`sqrt-prod`
28×	`pow-pow`
27×	`associate-r` `associate-l`
26×	`exp-prod`
18×	`unpow-prod-down`
12×	`pow-unpow`
10×	`sqr-pow`
9×	`add-exp-log` `distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `unswap-sqr`
8×	`pow-to-exp` `pow-exp`
6×	`pow-sub`
5×	`pow1` `add-cbrt-cube`
4×	`sub-neg` `difference-of-squares`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`neg-mul-1` `distribute-lft-out--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `cbrt-unprod`

Counts

3 → 199

Calls

3 calls:

15.0ms	(pow (exp (- x)) (- (sqrt 1.0) x))
28.0ms	(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
10.0ms	(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))

series450.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(pow (exp (- x)) (- (sqrt 1.0) x))
312.0ms	(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
97.0ms	(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))

simplify82.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	641	2728
1	2561	2238
2	5001	2202

prune522.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

76×	`unpow-prod-down`
64×	`times-frac`
63×	`*-un-lft-identity`
51×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`exp-prod`
21×	`distribute-neg-in` `exp-sum`
19×	`sqr-pow`
13×	`pow-pow`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
10×	`add-exp-log`
9×	`div-exp`
8×	`associate-/r` `associate-/l`
7×	`pow-to-exp` `pow-exp`
6×	`add-cbrt-cube` `rem-exp-log` `distribute-lft-out`
5×	`pow1`
4×	`expm1-log1p-u` `neg-log` `log1p-expm1-u`
3×	`neg-mul-1` `pow-unpow`
2×	`neg-sub0` `exp-neg` `exp-diff` `sum-log`
1×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv` `pow-div`

Counts

4 → 189

Calls

4 calls:

14.0ms	(/ (pow (exp (- (+ (sqrt 1.0) x))) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) x))
6.0ms	(exp (- (+ (sqrt 1.0) x)))
6.0ms	(exp (- (+ (sqrt 1.0) x)))
8.0ms	(pow (exp (- (+ (sqrt 1.0) x))) x)

series813.0ms

Counts

4 → 12

Calls

4 calls:

655.0ms	(/ (pow (exp (- (+ (sqrt 1.0) x))) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) x))
30.0ms	(exp (- (+ (sqrt 1.0) x)))
31.0ms	(exp (- (+ (sqrt 1.0) x)))
97.0ms	(pow (exp (- (+ (sqrt 1.0) x))) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	482	2660
1	2132	2541
2	5002	2481

prune525.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	12
1	14	12
2	14	12

end0.0ms

sample506.0ms

Algorithm

intervals

Results

335.0ms

15824×

body

valid