Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.2b	(/ 2.0 (+ (exp x) (exp (- x))))

rewrite13.0ms

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))))

series58.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp x) (exp (- x)))
37.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify124.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (114.0ms)

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

prune102.0ms

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: 0.1b

Counts

59 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2.0 (+ (exp x) (exp (- x))))
0.3b	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.3b	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.3b	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
54×	`cbrt-prod`
48×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`distribute-lft-out`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 122

Calls

4 calls:

10.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
6.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

series592.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
180.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
186.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
184.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify158.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	267	1472
1	850	1404
2	4028	1379
3	5001	1379

prune311.0ms

Filtered

134 candidates to 103 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	134	2	136

Merged error: 0.1b

Counts

136 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (pow x 2))
10.9b	(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 39

Calls

2 calls:

5.0ms	(* 0.5 (pow x 2))
1.0ms	(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

series72.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* 0.5 (pow x 2))
48.0ms	(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

simplify101.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	139	197
1	528	171
2	2719	171
3	5001	170

prune77.0ms

Filtered

45 candidates to 30 candidates (66.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Merged error: 0.1b

Counts

47 → 2

regimes43.0ms

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	12	20
1	12	20

end0.0ms

sample273.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid