Details

analyze252.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample17.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) z))
0.0b	(* (- y x) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* (- y x) z))
7.0ms	(* (- y x) z)

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* (- y x) z))
7.0ms	(* (- y x) z)

simplify36.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5046	303

prune41.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- y x) (* z (+ y x))) (+ y x)))
0.0b	(* z (+ y x))
0.2b	(* (- y x) (* z (+ y x)))
17.9b	(/ (* (- y x) (* z (+ y x))) (+ y x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`*-un-lft-identity`
18×	`associate-*r/`
13×	`add-sqr-sqrt`
11×	`pow1`
9×	`add-cube-cbrt` `flip3-+` `flip-+`
8×	`frac-times` `associate-l` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `flip--` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`times-frac` `pow-prod-down` `associate-l/` `associate-/r` `distribute-lft-out`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

8.0ms	(+ x (/ (* (- y x) (* z (+ y x))) (+ y x)))
6.0ms	(* z (+ y x))
10.0ms	(* (- y x) (* z (+ y x)))
14.0ms	(/ (* (- y x) (* z (+ y x))) (+ y x))

series34.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ x (/ (* (- y x) (* z (+ y x))) (+ y x)))
8.0ms	(* z (+ y x))
11.0ms	(* (- y x) (* z (+ y x)))
7.0ms	(/ (* (- y x) (* z (+ y x))) (+ y x))

simplify57.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4980	1112
1	4980	1112

prune88.0ms

Filtered

75 candidates to 114 candidates (-52.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	3	117

Merged error: 0b

Counts

117 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
0.1b	(* (- y x) (sqrt z))
0.2b	(* (* (- y x) (sqrt z)) (sqrt z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 60

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
9.0ms	(* (- y x) (sqrt z))
9.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

series29.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
9.0ms	(* (- y x) (sqrt z))
8.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4978	571
1	4978	571

prune54.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Merged error: 0b

Counts

72 → 3

regimes163.0ms

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	18	7
1	18	7

end0.0ms

sample345.0ms

Algorithm

intervals

Results

176.0ms	8000×	body	80	valid
12.0ms	597×	body	80	invalid

Details

analyze252.0ms

sample17.0ms

simplify10.0ms

prune3.0ms

localize5.0ms

rewrite11.0ms

series14.0ms

simplify36.0ms

prune41.0ms

localize8.0ms

rewrite40.0ms

series34.0ms

simplify57.0ms

prune88.0ms

localize7.0ms

rewrite23.0ms

series29.0ms

simplify41.0ms

prune54.0ms

regimes163.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample345.0ms

Profiling