Details

sample60.0ms

Algorithm

intervals

Results

27.0ms	99×	body	1280	valid
12.0ms	79×	body	640	valid
6.0ms	255×	body	80	valid
5.0ms	48×	body	320	valid
1.0ms	20×	body	160	valid

simplify222.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize6.0ms

Local error

Found 1 expressions with local error:

6.0b	(- (exp x) (exp (- x)))

rewrite7.0ms

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:

7.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify594.0ms

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

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:

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

series224.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
52.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (pow x 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	281	301
1	1179	277
2	5002	276

prune161.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 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)
6.0b	(- (exp x) (pow (exp x) -3))

rewrite64.0ms

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:

22.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
30.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
2.0ms	(pow (exp x) -3)
7.0ms	(- (exp x) (pow (exp x) -3))

series305.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))))
93.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
33.0ms	(pow (exp x) -3)
45.0ms	(- (exp x) (pow (exp x) -3))

simplify70.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	420	889
1	2061	787
2	5002	784

prune224.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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

sample1.9s

Algorithm

intervals

Results

921.0ms	3379×	body	1280	valid
397.0ms	2510×	body	640	valid
183.0ms	8122×	body	80	valid
118.0ms	1235×	body	320	valid
35.0ms	591×	body	160	valid