Details

sample23.0ms

Algorithm

intervals

Results

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

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	48	7
2	104	7
3	196	7
4	359	7
5	686	7
6	1343	7
7	5001	7

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: 19.1b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

18.9b

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

rewrite13.0ms

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` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

11.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	270	311
1	1434	265
2	5001	261

prune68.0ms

Filtered

34 candidates to 28 candidates (82.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Merged error: 0.5b

Counts

35 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
0.0b	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
18.9b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`unpow-prod-down` `cube-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
8×	`flip3-+` `flip-+` `associate-/l/`
5×	`div-inv`
4×	`pow1` `cbrt-undiv` `frac-times` `div-exp`
3×	`pow-unpow` `flip3--` `pow-exp` `associate-/r*` `flip--` `add-log-exp` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow3` `associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `associate-/l*`

Counts

3 → 105

Calls

3 calls:

9.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
12.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
75.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
58.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	474	1168
1	2637	1106
2	5003	1099

prune176.0ms

Filtered

114 candidates to 69 candidates (60.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	114	3	117

Merged error: 0.5b

Counts

117 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Merged error: 0.5b

Counts

3 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.5b

Counts

3 → 3

regimes71.0ms

Accuracy

75.5% (4.8b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 19.9b

bsearch111.0ms

Steps

Iters	Range	Point
9	2.560335030126732e-167	5.570677511037974e-162	3.6600809160932306e-162
9	-1.5774034515226057e-158	-2.0692687019662134e-165	-3.5207833304409473e-162
11	-7.584552275869844e+161	-2.1702536439911652e+130	-4.1441462901281477e+145

Iters

Range

Point

2.560335030126732e-167

5.570677511037974e-162

3.6600809160932306e-162

-1.5774034515226057e-158

-2.0692687019662134e-165

-3.5207833304409473e-162

-7.584552275869844e+161

-2.1702536439911652e+130

-4.1441462901281477e+145

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	18
1	31	18

end0.0ms

sample578.0ms

Algorithm

intervals

Results

282.0ms	8000×	body	80	valid
153.0ms	8000×	pre	80	true

Details

sample23.0ms

simplify63.0ms

prune2.0ms

localize8.0ms

rewrite13.0ms

series64.0ms

simplify37.0ms

prune68.0ms

localize10.0ms

rewrite36.0ms

series210.0ms

simplify70.0ms

prune176.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune1.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes71.0ms

bsearch111.0ms

simplify2.0ms

end0.0ms

sample578.0ms

Profiling