Details

sample68.0ms

Algorithm

intervals

Results

29.0ms	101×	body	1280	valid
15.0ms	82×	body	640	valid
8.0ms	281×	body	80	valid
4.0ms	40×	body	320	valid
2.0ms	24×	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: 57.9b

localize9.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (exp x) (exp (- x)))

rewrite6.0ms

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:

6.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify588.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (29.0ms)

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

prune54.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

3.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
9.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series281.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
55.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
54.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	354	471
1	1531	437
2	5002	436

prune208.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
0.0b	(* (exp x) (- (exp x) (pow (exp x) -3)))
0.0b	(pow (exp x) -3)
5.6b	(- (exp x) (pow (exp x) -3))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
11×	`add-cube-cbrt` `add-cbrt-cube`
9×	`add-exp-log`
7×	`pow1` `associate-r`
6×	`add-log-exp` `difference-of-squares`
5×	`unpow-prod-down`
4×	`pow-pow` `times-frac` `associate-r/` `associate-/r`
3×	`sub-neg` `pow-unpow` `exp-prod` `flip3--` `associate-l` `flip--` `sqr-pow`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

21.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
29.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
2.0ms	(pow (exp x) -3)
7.0ms	(- (exp x) (pow (exp x) -3))

series298.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
90.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
33.0ms	(pow (exp x) -3)
46.0ms	(- (exp x) (pow (exp x) -3))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	420	894
1	2061	790
2	5001	787

prune237.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp 1) (* x -3))
0.0b	(/ (* (exp x) (- (exp x) (pow (exp 1) (* x -3)))) (+ (exp x) (exp (- x))))
0.0b	(* (exp x) (- (exp x) (pow (exp 1) (* x -3))))
5.6b	(- (exp x) (pow (exp 1) (* x -3)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`add-cube-cbrt`
9×	`add-exp-log`
7×	`pow1` `associate-r`
6×	`add-log-exp` `difference-of-squares`
5×	`unpow-prod-down`
4×	`pow-pow` `times-frac` `associate-r/` `associate-/r`
3×	`sub-neg` `exp-prod` `flip3--` `associate-l` `flip--` `sqr-pow`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`pow-to-exp` `pow-unpow` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

2.0ms	(pow (exp 1) (* x -3))
21.0ms	(/ (* (exp x) (- (exp x) (pow (exp 1) (* x -3)))) (+ (exp x) (exp (- x))))
27.0ms	(* (exp x) (- (exp x) (pow (exp 1) (* x -3))))
10.0ms	(- (exp x) (pow (exp 1) (* x -3)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow (exp 1) (* x -3))
122.0ms	(/ (* (exp x) (- (exp x) (pow (exp 1) (* x -3)))) (+ (exp x) (exp (- x))))
85.0ms	(* (exp x) (- (exp x) (pow (exp 1) (* x -3))))
35.0ms	(- (exp x) (pow (exp 1) (* x -3)))

simplify61.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	425	988
1	1888	855
2	5001	819

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b 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

sample2.0s

Algorithm

intervals

Results

972.0ms	3338×	body	1280	valid
458.0ms	2564×	body	640	valid
212.0ms	8152×	body	80	valid
135.0ms	1203×	body	320	valid
45.0ms	626×	body	160	valid