Details

sample76.0ms

Algorithm

intervals

Results

53.0ms	187×	body	1280	valid
6.0ms	273×	body	80	valid
6.0ms	38×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	11×	body	160	valid

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1321	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.2b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

4.0ms	(- (exp x) 2.0)
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	211	282
1	715	269
2	3477	260
3	5001	260

prune95.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

7.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
4.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series283.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
137.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
46.0ms	(* 1/360 (pow x 6))
41.0ms	(* 1/12 (pow x 4))

simplify50.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	329	464
1	1456	439
2	5001	423

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
3.2b	(+ (- (exp x) 2.0) (exp (- x)))
3.2b	(+ (- (exp x) 2.0) (exp (- x)))
3.2b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity` `add-log-exp`
12×	`frac-add`
7×	`flip3--` `flip--`
6×	`neg-sub0` `add-sqr-sqrt` `exp-neg` `associate-+l+` `exp-diff` `sum-log` `distribute-lft-out`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `diff-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`
1×	`difference-of-squares`

Counts

4 → 77

Calls

4 calls:

4.0ms	(- (exp x) 2.0)
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (exp x) 2.0)
54.0ms	(+ (- (exp x) 2.0) (exp (- x)))
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify95.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	211	716
1	715	677
2	3477	650
3	5001	650

prune248.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp x) 3)
3.2b	(+ (- (exp x) 2.0) (exp (- x)))
3.2b	(+ (- (exp x) 2.0) (exp (- x)))
4.1b	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
18×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `frac-add`
7×	`sum-log`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `neg-sub0` `exp-neg` `associate-+l+` `flip3--` `pow-pow` `exp-diff` `flip--` `distribute-lft-out`
3×	`+-commutative` `unpow-prod-down` `pow-unpow` `exp-prod` `flip3-+` `cube-prod` `flip-+`
2×	`associate-+l-` `sub-neg` `diff-log` `distribute-lft-out--`
1×	`cube-mult` `pow-to-exp` `associate-+r+` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

4.0ms	(pow (exp x) 3)
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))
11.0ms	(+ (- (exp x) 2.0) (exp (- x)))
9.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
62.0ms	(+ (- (exp x) 2.0) (exp (- x)))
57.0ms	(+ (- (exp x) 2.0) (exp (- x)))
92.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	410	770
1	1896	712
2	5003	708

prune404.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5615×	body	1280	valid
196.0ms	1291×	body	640	valid
170.0ms	8064×	body	80	valid
55.0ms	622×	body	320	valid
18.0ms	303×	body	160	valid