Details

sample67.0ms

Algorithm

intervals

Results

33.0ms	108×	body	1280	valid
12.0ms	71×	body	640	valid
6.0ms	284×	body	80	valid
4.0ms	36×	body	320	valid
2.0ms	29×	body	160	valid

simplify222.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	250	5
8	1252	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.8b

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b	(- (exp x) (exp (- x)))

rewrite5.0ms

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:

5.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify590.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105

prune54.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

8.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series145.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
53.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	300	375
1	1301	346
2	5001	346

prune174.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (- x)))
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
7.7b	(- (sqrt (exp x)) (sqrt (exp (- x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`sqrt-pow1`
16×	`exp-prod` `*-un-lft-identity`
15×	`sqrt-prod`
12×	`add-cube-cbrt`
7×	`pow1`
6×	`add-log-exp`
4×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
3×	`distribute-lft-neg-in` `rem-sqrt-square` `distribute-rgt-neg-in` `pow1/2`
2×	`sqrt-div` `distribute-lft-out--`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `flip--`

Counts

4 → 75

Calls

4 calls:

3.0ms	(sqrt (exp (- x)))
2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
7.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

series100.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp (- x)))
12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
62.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

simplify106.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	157	409
1	354	393
2	892	392
3	3283	386
4	5001	386

prune221.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (- x)))
0.0b	(sqrt (exp x))
0.1b	(* 1/1920 (pow x 5))
0.1b	(* 1/24 (pow x 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
19×	`associate-r`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`sqrt-pow1`
14×	`add-exp-log`
13×	`exp-prod`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`pow1` `associate-l` `prod-exp` `sqrt-prod`
4×	`cube-prod` `add-log-exp` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `sqrt-div` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`neg-sub0` `exp-neg` `cube-mult` `neg-mul-1` `exp-diff` `unpow3`

Counts

4 → 97

Calls

4 calls:

3.0ms	(sqrt (exp (- x)))
2.0ms	(sqrt (exp x))
6.0ms	(* 1/1920 (pow x 5))
7.0ms	(* 1/24 (pow x 3))

series116.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp (- x)))
12.0ms	(sqrt (exp x))
53.0ms	(* 1/1920 (pow x 5))
37.0ms	(* 1/24 (pow x 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	289	358
1	1078	333
2	5001	333

prune375.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

933.0ms	3318×	body	1280	valid
415.0ms	2507×	body	640	valid
192.0ms	8098×	body	80	valid
130.0ms	1239×	body	320	valid
40.0ms	647×	body	160	valid