Details

sample69.0ms

Algorithm

intervals

Results

36.0ms	128×	body	1280	valid
12.0ms	77×	body	640	valid
6.0ms	259×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	23×	body	160	valid

simplify218.0ms

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: 58.5b

localize6.0ms

Local error

Found 1 expressions with local error:

5.9b	(- (exp x) (exp (- x)))

rewrite13.0ms

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:

13.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify585.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

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

prune46.0ms

Pruning

3 alts after pruning (2 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)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite49.0ms

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:

24.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
11.0ms	(* 1/60 (pow x 5))
12.0ms	(* 1/3 (pow x 3))

series133.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
47.0ms	(* 1/60 (pow x 5))
34.0ms	(* 1/3 (pow x 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	300	387
1	1298	353
2	5001	353

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

10.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
11.0ms	(* 1/60 (pow x 5))
12.0ms	(* 1/3 (pow x 3))

series206.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
44.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (pow x 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	268	317
1	1130	292
2	5001	291

prune159.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (exp x) (- (exp x) (pow (exp x) -3)))
0.0b	(pow (exp x) -3)
5.9b	(- (exp x) (pow (exp x) -3))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`pow1` `associate-r`
6×	`add-cbrt-cube` `difference-of-squares`
5×	`add-exp-log` `unpow-prod-down`
4×	`pow-pow`
3×	`sub-neg` `pow-unpow` `exp-prod` `associate-l` `sqr-pow`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

12.0ms	(+ (exp x) (exp (- x)))
55.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
4.0ms	(pow (exp x) -3)
14.0ms	(- (exp x) (pow (exp x) -3))

series174.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (exp x) (exp (- x)))
84.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
28.0ms	(pow (exp x) -3)
41.0ms	(- (exp x) (pow (exp x) -3))

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	334	556
1	1434	510
2	5001	498

prune199.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

934.0ms	3390×	body	1280	valid
411.0ms	2482×	body	640	valid
180.0ms	7973×	body	80	valid
119.0ms	1230×	body	320	valid
36.0ms	602×	body	160	valid