Details

sample13.0ms

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

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

series62.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp x) (exp (- x)))
41.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify120.0ms

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

prune110.0ms

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	(log1p (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b	(/ 2.0 (+ (exp x) (exp (- x))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

1.0ms	(log1p (/ 2.0 (+ (exp x) (exp (- x)))))
5.0ms	(+ (exp x) (exp (- x)))
1.0ms	(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(log1p (/ 2.0 (+ (exp x) (exp (- x)))))
21.0ms	(+ (exp x) (exp (- x)))
181.0ms	(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
37.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify186.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (171.0ms)

Iter	Nodes	Cost
0	285	645
1	897	583
2	4347	576
3	5001	575

prune186.0ms

Filtered

86 candidates to 65 candidates (75.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Merged error: 0b

Counts

88 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:

5.0ms	(+ (exp x) (exp (- x)))
10.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
8.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
8.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

series181.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
43.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
37.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
79.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (51.0ms)

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

prune272.0ms

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

regimes48.0ms

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	10	7
1	10	7

end0.0ms

sample306.0ms

Algorithm

intervals

Results

216.0ms

8000×

body

valid