Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify60.0ms

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	1355	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: 20.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
20.3b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

3.0ms	(+ (* x x) (* y y))
11.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* x x) (* y y))
61.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	308	388
1	1848	330
2	5001	322

prune93.0ms

Filtered

48 candidates to 39 candidates (81.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Merged error: 0.5b

Counts

49 → 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

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0.5b

Counts

3 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (pow y 2))
0.1b	(* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))
19.7b	(/ (+ x y) (+ (pow x 2) (pow y 2)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
41×	`times-frac`
32×	`add-sqr-sqrt`
31×	`distribute-lft-out`
26×	`associate-r`
25×	`add-cube-cbrt`
20×	`unpow-prod-down`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 109

Calls

3 calls:

7.0ms	(+ (pow x 2) (pow y 2))
19.0ms	(* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))
11.0ms	(/ (+ x y) (+ (pow x 2) (pow y 2)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (pow x 2) (pow y 2))
61.0ms	(* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))
48.0ms	(/ (+ x y) (+ (pow x 2) (pow y 2)))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	390	902
1	1953	823
2	5001	822

prune180.0ms

Filtered

118 candidates to 69 candidates (58.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0.5b

Counts

121 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

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

regimes55.0ms

Accuracy

72.6% (5.6b remaining)

Error of 6.1b against oracle of 0.4b and baseline of 21.0b

bsearch92.0ms

Steps

Iters	Range		Point
9	1.472839697330624e-169	1.128703495853134e-163	1.115467029650315e-163
7	-1.3041584553266122e-209	-1.6077566384391606e-211	-1.2738337671425233e-209
4	-1.7437952221978374e-152	-1.2209266378449415e-152	-1.2372662811059696e-152
8	-3.4040993375076866e-43	-2.796258091417499e-47	-3.3563825188448286e-43

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample523.0ms

Algorithm

intervals

Results

246.0ms	8000×	body	80	valid
123.0ms	8000×	pre	80	true

Details

sample24.0ms

simplify60.0ms

prune2.0ms

localize8.0ms

rewrite16.0ms

series87.0ms

simplify42.0ms

prune93.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune3.0ms

localize9.0ms

rewrite41.0ms

series135.0ms

simplify55.0ms

prune180.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes55.0ms

bsearch92.0ms

simplify1.0ms

end0.0ms

sample523.0ms

Profiling