Details

sample79.0ms

Algorithm

intervals

Results

55.0ms	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

simplify214.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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)
22.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
60.0ms	(+ (- (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

prune91.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite28.0ms

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:

12.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
3.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series278.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
131.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
51.0ms	(* 1/360 (pow x 6))
39.0ms	(* 1/12 (pow x 4))

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (44.0ms)

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

prune312.0ms

Filtered

87 candidates to 55 candidates (63.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite90.0ms

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)
23.0ms	(+ (- (exp x) 2.0) (exp (- x)))
24.0ms	(+ (- (exp x) 2.0) (exp (- x)))
38.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (exp x) 2.0)
58.0ms	(+ (- (exp x) 2.0) (exp (- x)))
55.0ms	(+ (- (exp x) 2.0) (exp (- x)))
60.0ms	(+ (- (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

prune245.0ms

Filtered

89 candidates to 63 candidates (70.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(exp (log (+ (- (exp x) 2.0) (exp (- x)))))
3.2b	(+ (- (exp x) 2.0) (exp (- x)))
3.2b	(+ (- (exp x) 2.0) (exp (- x)))
3.2b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`add-log-exp`
16×	`frac-add`
14×	`exp-diff`
8×	`neg-sub0` `exp-neg` `flip3--` `flip--` `distribute-lft-out`
6×	`add-sqr-sqrt` `add-cube-cbrt` `log-div` `associate-+l+` `sum-log`
5×	`pow1` `log-prod` `exp-sum`
4×	`add-exp-log` `exp-prod` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out--`
3×	`+-commutative` `associate-+l-` `sub-neg` `diff-log`
1×	`log-pow` `rem-exp-log`

Counts

4 → 86

Calls

4 calls:

16.0ms	(exp (log (+ (- (exp x) 2.0) (exp (- x)))))
24.0ms	(+ (- (exp x) 2.0) (exp (- x)))
22.0ms	(+ (- (exp x) 2.0) (exp (- x)))
22.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(exp (log (+ (- (exp x) 2.0) (exp (- x)))))
61.0ms	(+ (- (exp x) 2.0) (exp (- x)))
54.0ms	(+ (- (exp x) 2.0) (exp (- x)))
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify98.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	243	905
1	779	855
2	3881	799
3	5001	789

prune269.0ms

Filtered

98 candidates to 61 candidates (62.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b 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
194.0ms	1291×	body	640	valid
175.0ms	8064×	body	80	valid
55.0ms	622×	body	320	valid
17.0ms	303×	body	160	valid