Details

sample69.0ms

Algorithm

intervals

Results

29.0ms	104×	body	1280	valid
15.0ms	92×	body	640	valid
6.0ms	243×	body	80	valid
6.0ms	32×	body	320	valid
1.0ms	18×	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: 57.7b

localize6.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (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)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify582.0ms

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

prune48.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite47.0ms

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:

21.0ms	(+ (* 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))

series143.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
47.0ms	(* 1/60 (pow x 5))
39.0ms	(* 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

prune163.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) -2)
0.0b	(+ 1 (exp (+ x x)))
0.0b	(pow (exp (- x)) 3)
5.0b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`difference-of-squares`
15×	`pow-pow` `cube-prod`
13×	`add-cube-cbrt` `exp-prod`
10×	`sqr-pow`
8×	`add-log-exp`
6×	`pow1` `pow-unpow`
5×	`add-cbrt-cube` `distribute-lft-out--`
4×	`add-exp-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cube-div` `pow-to-exp` `pow-exp`
1×	`difference-cubes` `+-commutative` `neg-sub0` `exp-neg` `cube-mult` `neg-mul-1` `sub-neg` `flip3--` `flip3-+` `exp-diff` `diff-log` `unpow3` `sum-log` `flip--` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 101

Calls

4 calls:

4.0ms	(pow (exp x) -2)
17.0ms	(+ 1 (exp (+ x x)))
9.0ms	(pow (exp (- x)) 3)
37.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series150.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(pow (exp x) -2)
12.0ms	(+ 1 (exp (+ x x)))
26.0ms	(pow (exp (- x)) 3)
92.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify73.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	418	688
1	1831	647
2	5002	639

prune316.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) -2)
0.0b	(+ (exp (* 2 x)) 1)
0.0b	(pow (exp (- x)) 3)
5.0b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`difference-of-squares`
15×	`pow-pow` `cube-prod`
13×	`add-cube-cbrt` `exp-prod`
10×	`sqr-pow`
8×	`add-log-exp`
6×	`pow1` `pow-unpow`
5×	`add-cbrt-cube` `distribute-lft-out--`
4×	`add-exp-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cube-div` `pow-to-exp` `pow-exp`
1×	`difference-cubes` `+-commutative` `neg-sub0` `exp-neg` `cube-mult` `neg-mul-1` `sub-neg` `flip3--` `flip3-+` `exp-diff` `diff-log` `unpow3` `sum-log` `flip--` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 101

Calls

4 calls:

4.0ms	(pow (exp x) -2)
12.0ms	(+ (exp (* 2 x)) 1)
8.0ms	(pow (exp (- x)) 3)
37.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series147.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (exp x) -2)
11.0ms	(+ (exp (* 2 x)) 1)
26.0ms	(pow (exp (- x)) 3)
92.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify70.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	418	689
1	1733	649
2	5001	605

prune298.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

913.0ms	3341×	body	1280	valid
402.0ms	2489×	body	640	valid
187.0ms	8040×	body	80	valid
125.0ms	1270×	body	320	valid
38.0ms	638×	body	160	valid