Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify218.0ms

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	1121	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 2 expressions with local error:

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

rewrite15.0ms

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)))
9.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series65.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp x) (exp (- x)))
41.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify118.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	198	433
1	653	397
2	3014	394
3	5001	392

prune108.0ms

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

localize10.0ms

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

55×	`*-un-lft-identity`
36×	`unpow-prod-down` `times-frac`
32×	`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×	`expm1-log1p-u` `pow-unpow` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`fma-def` `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 → 125

Calls

4 calls:

7.0ms	(+ (exp (* -1 x)) (exp x))
10.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
9.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
11.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

series183.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp (* -1 x)) (exp x))
79.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
38.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
40.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	418	1179
1	1525	1135
2	5002	1109

prune269.0ms

Filtered

137 candidates to 94 candidates (68.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	137	2	139

Merged error: 0b

Counts

139 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 0.5 (pow x 2))
11.6b	(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

6.0ms	(* 0.5 (pow x 2))
1.0ms	(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

series76.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* 0.5 (pow x 2))
51.0ms	(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

simplify101.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	139	205
1	561	173
2	2712	173
3	5001	172

prune79.0ms

Filtered

46 candidates to 30 candidates (65.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	46	2	48

Merged error: 0b

Counts

48 → 2

regimes12.0ms

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

sample266.0ms

Algorithm

intervals

Results

180.0ms

8000×

body

valid