Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4772	8
1	4772	8

prune3.0ms

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`cosh-undef` `associate-/r*` `distribute-lft-out`
4×	`add-exp-log` `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 → 50

Calls

2 calls:

4.0ms	(+ (exp x) (exp (neg x)))
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

series12.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (exp x) (exp (neg x)))
9.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

simplify79.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5322	597

prune59.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
75×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`cbrt-prod`
42×	`unpow-prod-down` `cube-prod`
17×	`cosh-undef` `distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `associate-/r*` `div-inv`
3×	`pow-unpow` `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 → 170

Calls

4 calls:

4.0ms	(+ (exp x) (exp (neg x)))
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
11.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))
8.0ms	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)

series34.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp x) (exp (neg x)))
8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
9.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))
14.0ms	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5855	2344

prune153.0ms

Filtered

92 candidates to 182 candidates (-97.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	182	3	185

Merged error: 0b

Counts

185 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(/ (sqrt 2.0) (cosh x))
0.5b	(* (/ (sqrt 2.0) 2) (/ (sqrt 2.0) (cosh x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
66×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
36×	`sqrt-prod`
23×	`associate-r`
22×	`associate-l`
17×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
6×	`associate-/l*`
5×	`pow1` `cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`cosh-def` `associate-/r*` `div-inv` `add-log-exp`
2×	`associate-/r/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 122

Calls

3 calls:

1.0ms	(cosh x)
4.0ms	(/ (sqrt 2.0) (cosh x))
15.0ms	(* (/ (sqrt 2.0) 2) (/ (sqrt 2.0) (cosh x)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cosh x)
13.0ms	(/ (sqrt 2.0) (cosh x))
19.0ms	(* (/ (sqrt 2.0) 2) (/ (sqrt 2.0) (cosh x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4949	1259
1	4949	1259

prune165.0ms

Filtered

91 candidates to 131 candidates (-44.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Merged error: 0b

Counts

134 → 3

regimes87.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample314.0ms

Algorithm

intervals

Results

224.0ms

8000×

body

valid

Details

analyze1.0ms

sample13.0ms

simplify64.0ms

prune3.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify79.0ms

prune59.0ms

localize9.0ms

rewrite36.0ms

series34.0ms

simplify63.0ms

prune153.0ms

localize6.0ms

rewrite27.0ms

series37.0ms

simplify61.0ms

prune165.0ms

regimes87.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample314.0ms

Profiling