Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	317×	body	80	valid
0.0ms	1×	body	640	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	62	3
3	164	3
4	320	3
5	438	3
6	600	3
7	831	3
8	1451	3
9	2357	3
10	2545	3
11	2545	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

9.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	397	499
1	1589	357
2	5001	356

prune69.0ms

Filtered

56 candidates to 29 candidates (51.8%)

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: 0.0b

Counts

57 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

7.0ms	(* (- z) (+ x y))
3.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- z) (+ x y))
47.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	289	302
1	1292	273
2	5002	261

prune110.0ms

Filtered

60 candidates to 46 candidates (76.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0.0b

Counts

63 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (fma 1.0 1.0 (fma z z (* 1.0 z))) (- x y))
3.0b	(* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3)))
3.3b	(- (* x x) (* y y))
37.5b	(/ (* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3))) (* (fma 1.0 1.0 (fma z z (* 1.0 z))) (- x y)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

307×	`prod-diff`
194×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
164×	`add-cube-cbrt`
157×	`distribute-rgt-in` `distribute-lft-in`
156×	`unpow-prod-down` `cube-prod`
56×	`sqr-pow`
48×	`cube-mult` `unpow3`
30×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
19×	`difference-of-squares`
15×	`flip3--` `flip--`
8×	`pow1` `frac-times` `associate-*r/` `associate-/l/`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
5×	`sub-neg`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-*l/` `log1p-expm1-u`
2×	`pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`difference-cubes` `frac-2neg` `times-frac` `fma-neg` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 439

Calls

4 calls:

7.0ms	(* (fma 1.0 1.0 (fma z z (* 1.0 z))) (- x y))
30.0ms	(* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3)))
4.0ms	(- (* x x) (* y y))
39.0ms	(/ (* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3))) (* (fma 1.0 1.0 (fma z z (* 1.0 z))) (- x y)))

series642.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (fma 1.0 1.0 (fma z z (* 1.0 z))) (- x y))
127.0ms	(* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3)))
33.0ms	(- (* x x) (* y y))
418.0ms	(/ (* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3))) (* (fma 1.0 1.0 (fma z z (* 1.0 z))) (- x y)))

simplify133.0ms

Algorithm

egg-herbie

Counts

451 → 451

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1255	7450
1	5001	5889

prune455.0ms

Filtered

451 candidates to 108 candidates (23.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	451	0	451
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	451	3	454

Merged error: 0.0b

Counts

454 → 3

regimes97.0ms

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	9	3
1	9	3

end0.0ms

sample381.0ms

Algorithm

intervals

Results

189.0ms	10133×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid