Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify213.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	14	5
3	15	5
4	20	5
5	40	5
6	61	5
7	150	5
8	1040	5
9	5002	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	100	100
1	331	88
2	1216	87
3	5001	87

prune32.0ms

Filtered

15 candidates to 13 candidates (86.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.5b	(cbrt (+ (exp x) (exp (- x))))
0.5b	(cbrt (+ (exp x) (exp (- x))))
0.5b	(cbrt (+ (exp x) (exp (- x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
3×	`pow1/3`
1×	`+-commutative` `sum-log`

Counts

4 → 54

Calls

4 calls:

4.0ms	(+ (exp x) (exp (- x)))
4.0ms	(cbrt (+ (exp x) (exp (- x))))
5.0ms	(cbrt (+ (exp x) (exp (- x))))
4.0ms	(cbrt (+ (exp x) (exp (- x))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
129.0ms	(cbrt (+ (exp x) (exp (- x))))
134.0ms	(cbrt (+ (exp x) (exp (- x))))
135.0ms	(cbrt (+ (exp x) (exp (- x))))

simplify77.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	150	580
1	501	529
2	1967	507
3	5001	507

prune171.0ms

Filtered

66 candidates to 57 candidates (86.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	2	68

Merged error: 0b

Counts

68 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.1b	(* 1/12 (pow x 4))
0.2b	(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`times-frac`
10×	`add-exp-log`
8×	`add-log-exp`
7×	`associate-r` `add-cbrt-cube`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `associate-/r*`
3×	`pow1` `associate-l` `prod-exp` `sum-log` `associate-/l*` `unswap-sqr`
2×	`flip3-+` `associate-/r/` `flip-+` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r+` `frac-2neg` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

3 → 72

Calls

3 calls:

8.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
5.0ms	(* 1/12 (pow x 4))
9.0ms	(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
42.0ms	(* 1/12 (pow x 4))
71.0ms	(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	314	596
1	1283	553
2	5001	546

prune129.0ms

Filtered

81 candidates to 54 candidates (66.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0b

Counts

83 → 2

regimes38.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 1.2b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	28
1	27	28

end0.0ms

sample266.0ms

Algorithm

intervals

Results

176.0ms

8000×

body

valid