Details

analyze480.0ms

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	255×	body	80	valid
0.0ms	18×	body	80	invalid
0.0ms	1×	body	1280	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	673	7
1	673	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 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 31

Calls

1 calls:

11.0ms

(* (+ x y) (- 1.0 z))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (+ x y) (- 1.0 z))

simplify39.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5170	379

prune49.0ms

Filtered

25 candidates to 34 candidates (-36.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) 1.0) (* (+ x y) (neg z)))
0.0b	(* (+ x y) (neg z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r` `associate-*l/`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `associate-l` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-rgt-neg-out` `distribute-lft-out`
1×	`+-commutative` `neg-mul-1` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

7.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (neg z)))
7.0ms	(* (+ x y) (neg z))

series18.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (neg z)))
7.0ms	(* (+ x y) (neg z))

simplify46.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4920	536
1	4920	536

prune52.0ms

Filtered

39 candidates to 52 candidates (-33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	52	3	55

Merged error: 0b

Counts

55 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* y y) (* x y))
2.4b	(* (- 1.0 z) (+ (pow x 3) (pow y 3)))
3.5b	(+ (pow x 3) (pow y 3))
37.2b	(/ (* (- 1.0 z) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

4.0ms	(- (* y y) (* x y))
16.0ms	(* (- 1.0 z) (+ (pow x 3) (pow y 3)))
13.0ms	(+ (pow x 3) (pow y 3))
21.0ms	(/ (* (- 1.0 z) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y y) (* x y))
23.0ms	(* (- 1.0 z) (+ (pow x 3) (pow y 3)))
8.0ms	(+ (pow x 3) (pow y 3))
37.0ms	(/ (* (- 1.0 z) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5663	1583

prune161.0ms

Filtered

77 candidates to 108 candidates (-40.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Merged error: 0b

Counts

111 → 3

regimes291.0ms

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	53	11
1	53	11

end0.0ms

sample386.0ms

Algorithm

intervals

Results

195.0ms	7998×	body	80	valid
14.0ms	617×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze480.0ms

sample16.0ms

simplify25.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series8.0ms

simplify39.0ms

prune49.0ms

localize7.0ms

rewrite16.0ms

series18.0ms

simplify46.0ms

prune52.0ms

localize15.0ms

rewrite57.0ms

series74.0ms

simplify50.0ms

prune161.0ms

regimes291.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample386.0ms

Profiling