Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	52	6
2	117	6
3	240	6
4	478	6
5	947	6
6	1844	6
7	5001	6

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 18.2b

Counts

2 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

18.4b

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`frac-times` `flip3-+` `flip-+`
3×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `-un-lft-identity` `times-frac` `associate-/r` `flip--`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

13.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	279	306
1	1480	261
2	5001	254

prune75.0ms

Filtered

36 candidates to 30 candidates (83.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.3b

Counts

38 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
18.1b	(/ (fma x x (* y y)) (+ x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
160×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
22×	`associate-/r*` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 168

Calls

2 calls:

12.0ms	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
5.0ms	(/ (fma x x (* y y)) (+ x y))

series135.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
65.0ms	(/ (fma x x (* y y)) (+ x y))

simplify81.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	640	2000
1	2737	1832
2	5001	1825

prune290.0ms

Filtered

174 candidates to 115 candidates (66.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	173	5	178

Merged error: 0.0b

Counts

178 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
0.0b	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
0.0b	(* (hypot x y) (/ (hypot x y) (+ x y)))
0.0b	(/ (hypot x y) (+ x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
30×	`times-frac`
24×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
8×	`associate-/l*`
7×	`distribute-lft-out`
6×	`pow1` `cbrt-undiv` `div-exp`
5×	`associate-/r*` `associate-/r/`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`hypot-udef` `flip3--` `div-sub` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 117

Calls

4 calls:

1.0ms	(hypot x y)
11.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
10.0ms	(* (hypot x y) (/ (hypot x y) (+ x y)))
5.0ms	(/ (hypot x y) (+ x y))

series317.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(hypot x y)
90.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
88.0ms	(* (hypot x y) (/ (hypot x y) (+ x y)))
90.0ms	(/ (hypot x y) (+ x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	378	858
1	1715	740
2	5001	733

prune217.0ms

Filtered

129 candidates to 95 candidates (73.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	128	6	134

Merged error: 0b

Counts

134 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
0.0b	(/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))
0.0b	(/ (- x y) (hypot x y))
0.0b	(/ (hypot x y) (+ x y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac`
604×	`*-un-lft-identity`
476×	`add-sqr-sqrt`
354×	`add-cube-cbrt`
64×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
43×	`associate-/r/`
42×	`div-inv`
27×	`associate-/l*`
25×	`associate-/r*`
21×	`flip3-+` `flip-+`
20×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `div-sub` `clear-num` `associate-/l/`
1×	`hypot-udef` `flip3--` `flip--`

Counts

4 → 487

Calls

4 calls:

1.0ms	(hypot x y)
22.0ms	(/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))
6.0ms	(/ (- x y) (hypot x y))
5.0ms	(/ (hypot x y) (+ x y))

series324.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(hypot x y)
90.0ms	(/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))
92.0ms	(/ (- x y) (hypot x y))
96.0ms	(/ (hypot x y) (+ x y))

simplify108.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1834	7484
1	5001	7312

prune866.0ms

Filtered

499 candidates to 325 candidates (65.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	498	1	499
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	500	5	505

Merged error: 0b

Counts

505 → 5

regimes55.0ms

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	7
1	9	7

end0.0ms

sample595.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
150.0ms	8000×	pre	80	true