Details

analyze1.0ms

Algorithm

Search

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

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

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))))

rewrite12.0ms

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)))
8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

simplify76.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5322	597

prune61.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Merged error: 0b

Counts

57 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

5.0ms	(+ (exp x) (exp (neg x)))
9.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))
8.0ms	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp x) (exp (neg x)))
8.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))
13.0ms	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

simplify60.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5855	2344

prune155.0ms

Filtered

94 candidates to 182 candidates (-93.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	182	2	184

Merged error: 0b

Counts

184 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (exp x) (exp (neg x))))
0.5b	(cbrt (+ (exp x) (exp (neg x))))
0.5b	(cbrt (+ (exp x) (exp (neg x))))
0.5b	(/ 2.0 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`cbrt-prod` `*-un-lft-identity`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `flip-+`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `cosh-undef` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 74

Calls

4 calls:

4.0ms	(cbrt (+ (exp x) (exp (neg x))))
4.0ms	(cbrt (+ (exp x) (exp (neg x))))
4.0ms	(cbrt (+ (exp x) (exp (neg x))))
15.0ms	(/ 2.0 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (+ (exp x) (exp (neg x))))
23.0ms	(cbrt (+ (exp x) (exp (neg x))))
22.0ms	(cbrt (+ (exp x) (exp (neg x))))
50.0ms	(/ 2.0 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))

simplify71.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4877	1047
1	4877	1047

prune94.0ms

Filtered

66 candidates to 86 candidates (-30.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

88 → 2

regimes78.0ms

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	18	11
1	18	11

end0.0ms

sample314.0ms

Algorithm

intervals

Results

223.0ms

8000×

body

valid

Details

analyze1.0ms

sample12.0ms

simplify61.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series12.0ms

simplify76.0ms

prune61.0ms

localize11.0ms

rewrite35.0ms

series33.0ms

simplify60.0ms

prune155.0ms

localize10.0ms

rewrite30.0ms

series118.0ms

simplify71.0ms

prune94.0ms

regimes78.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample314.0ms

Profiling