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	40	5
6	61	5
7	150	5
8	1040	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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp x) (exp (- x)))
42.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify121.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	191	411
1	633	377
2	3009	375
3	5002	374

prune96.0ms

Filtered

51 candidates to 39 candidates (76.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Merged error: 0.1b

Counts

52 → 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)))))

rewrite28.0ms

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` `flip3-+` `associate-/r*` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 114

Calls

4 calls:

6.0ms	(/ 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)))))

series612.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
187.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
195.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
191.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify166.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	258	1418
1	813	1351
2	3865	1329
3	5002	1329

prune294.0ms

Filtered

126 candidates to 95 candidates (75.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	126	2	128

Merged error: 0.1b

Counts

128 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (pow x 2))
0.1b	(* 0.20833333333333334 (pow x 4))
10.8b	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod` `unpow2`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

3 → 66

Calls

3 calls:

5.0ms	(* 0.5 (pow x 2))
5.0ms	(* 0.20833333333333334 (pow x 4))
7.0ms	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* 0.5 (pow x 2))
36.0ms	(* 0.20833333333333334 (pow x 4))
49.0ms	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

simplify38.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	352
1	1102	317
2	5002	314

prune111.0ms

Filtered

75 candidates to 46 candidates (61.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	75	2	77

Merged error: 0.1b

Counts

77 → 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

sample259.0ms

Algorithm

intervals

Results

175.0ms

8000×

body

valid