Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify202.0ms

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	1038	5
9	5001	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 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ (exp x) (exp (- x)))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series67.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp x) (exp (- x)))
44.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify105.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	189	411
1	622	377
2	2886	375
3	5003	374

prune93.0ms

Filtered

51 candidates to 39 candidates (76.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
0.0b	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
0.0b	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
36×	`unpow-prod-down` `times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`cbrt-prod`
11×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `add-log-exp`
5×	`pow1`
4×	`pow-unpow` `flip3-+` `associate-/r*` `flip-+`
3×	`div-inv` `associate-/l*`
2×	`cbrt-undiv` `unpow3` `div-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log`

Counts

4 → 114

Calls

4 calls:

6.0ms	(+ (exp (* -1 x)) (exp x))
12.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
8.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
10.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

series184.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
81.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
43.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
39.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	404	1131
1	1489	1092
2	5002	1067

prune235.0ms

Filtered

126 candidates to 83 candidates (65.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	127	2	129

Merged error: 0b

Counts

129 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3))
0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(cbrt (/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3)))
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
54×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
31×	`cbrt-prod`
18×	`associate-/r*`
15×	`cbrt-div`
10×	`add-exp-log` `distribute-lft-out`
9×	`unpow3` `sqr-pow`
7×	`add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
3×	`pow-unpow` `div-exp`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-pow` `flip3-+` `pow1/3` `sum-log` `flip-+` `rem-cube-cbrt`

Counts

4 → 139

Calls

4 calls:

9.0ms	(/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3))
6.0ms	(+ (exp (* -1 x)) (exp x))
10.0ms	(cbrt (/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3)))
9.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

series224.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3))
26.0ms	(+ (exp (* -1 x)) (exp x))
67.0ms	(cbrt (/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3)))
54.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

simplify58.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	389	1575
1	1474	1438
2	5003	1419

prune242.0ms

Filtered

151 candidates to 83 candidates (55.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	151	2	153

Merged error: 0b

Counts

153 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 5/48 (pow x 4))
0.2b	(* 1/4 (pow x 2))
11.6b	(- (* 5/48 (pow x 4)) (* 1/4 (pow x 2)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
38×	`unswap-sqr`
20×	`difference-of-squares`
17×	`unpow-prod-down` `*-un-lft-identity`
15×	`associate-r`
13×	`add-exp-log` `sqr-pow`
10×	`associate-l`
9×	`add-cube-cbrt`
7×	`pow1` `add-cbrt-cube`
6×	`prod-exp` `unpow2`
5×	`add-log-exp`
4×	`distribute-lft-out--`
2×	`pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 90

Calls

3 calls:

6.0ms	(* 5/48 (pow x 4))
7.0ms	(* 1/4 (pow x 2))
27.0ms	(- (* 5/48 (pow x 4)) (* 1/4 (pow x 2)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* 5/48 (pow x 4))
31.0ms	(* 1/4 (pow x 2))
113.0ms	(- (* 5/48 (pow x 4)) (* 1/4 (pow x 2)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	328	634
1	1086	579
2	5001	565

prune173.0ms

Filtered

99 candidates to 54 candidates (54.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample268.0ms

Algorithm

intervals

Results

177.0ms

8000×

body

valid