Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify215.0ms

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	41	5
6	66	5
7	165	5
8	1123	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	(/ 2.0 (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
5.0ms	(+ (exp x) (exp (- x)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
27.0ms	(+ (exp x) (exp (- x)))

simplify121.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	200	433
1	666	397
2	3139	394
3	5001	393

prune107.0ms

Filtered

58 candidates to 46 candidates (79.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`log-prod` `fma-def` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 112

Calls

4 calls:

7.0ms	(exp (/ 2.0 (+ (exp x) (exp (- x)))))
8.0ms	(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
5.0ms	(+ (exp x) (exp (- x)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(exp (/ 2.0 (+ (exp x) (exp (- x)))))
38.0ms	(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))
43.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
23.0ms	(+ (exp x) (exp (- x)))

simplify134.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	282	907
1	818	837
2	3285	830
3	5002	827

prune268.0ms

Filtered

124 candidates to 95 candidates (76.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	124	2	126

Merged error: 0b

Counts

126 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
17×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube`

Counts

4 → 164

Calls

4 calls:

11.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
9.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
5.0ms	(+ (exp x) (exp (- x)))
9.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

series196.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
40.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
24.0ms	(+ (exp x) (exp (- x)))
87.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

simplify69.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	487	1667
1	2107	1547
2	5001	1533

prune263.0ms

Filtered

176 candidates to 93 candidates (52.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	176	2	178

Merged error: 0b

Counts

178 → 2

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample327.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid