Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	136	5
1	136	5

prune2.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1.0 3.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 14

Calls

1 calls:

6.0ms

(- x (/ 1.0 3.0))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(- x (/ 1.0 3.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4960	142
1	4960	142

prune24.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
0.0b	(+ x (/ 1.0 3.0))
18.3b	(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (+ x (/ 1.0 3.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 59

Calls

3 calls:

4.0ms	(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
6.0ms	(+ x (/ 1.0 3.0))
12.0ms	(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (+ x (/ 1.0 3.0)))

series12.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
2.0ms	(+ x (/ 1.0 3.0))
6.0ms	(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (+ x (/ 1.0 3.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5134	1005

prune93.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	69	2	71

Merged error: 0b

Counts

71 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
0.0b	(* (+ x (/ 1.0 3.0)) (+ (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))))
0.1b	(* (* x x) (* x x))
26.3b	(/ (- (* (* x x) (* x x)) (* (* 1.0 (/ 1.0 (* 3.0 3.0))) (* 1.0 (/ 1.0 (* 3.0 3.0))))) (* (+ x (/ 1.0 3.0)) (+ (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
24×	`pow-prod-down`
23×	`add-exp-log` `add-cbrt-cube`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2` `flip3-+` `flip-+`
10×	`add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`frac-times` `add-cube-cbrt` `associate-/r/`
6×	`add-log-exp`
5×	`associate-l`
4×	`times-frac` `associate-r/` `associate-r` `associate-l/` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `div-sub` `swap-sqr` `clear-num` `associate-/r*` `sum-log` `flip--` `div-inv` `distribute-lft-out`

Counts

4 → 137

Calls

4 calls:

4.0ms	(+ (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
11.0ms	(* (+ x (/ 1.0 3.0)) (+ (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))))
8.0ms	(* (* x x) (* x x))
21.0ms	(/ (- (* (* x x) (* x x)) (* (* 1.0 (/ 1.0 (* 3.0 3.0))) (* 1.0 (/ 1.0 (* 3.0 3.0))))) (* (+ x (/ 1.0 3.0)) (+ (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
3.0ms	(* (+ x (/ 1.0 3.0)) (+ (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))))
3.0ms	(* (* x x) (* x x))
13.0ms	(/ (- (* (* x x) (* x x)) (* (* 1.0 (/ 1.0 (* 3.0 3.0))) (* 1.0 (/ 1.0 (* 3.0 3.0))))) (* (+ x (/ 1.0 3.0)) (+ (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))))

simplify37.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5197	1911

prune205.0ms

Filtered

79 candidates to 149 candidates (-88.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	149	2	151

Merged error: 0b

Counts

151 → 2

regimes48.0ms

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	22	5
1	22	5

end0.0ms

sample213.0ms

Algorithm

intervals

Results

126.0ms

8000×

body

valid

Details

analyze2.0ms

sample12.0ms

simplify8.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series2.0ms

simplify46.0ms

prune24.0ms

localize10.0ms

rewrite23.0ms

series12.0ms

simplify47.0ms

prune93.0ms

localize14.0ms

rewrite49.0ms

series23.0ms

simplify37.0ms

prune205.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample213.0ms

Profiling