Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify81.0ms

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

prune7.0ms

Filtered

1 candidates to 0 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: 18.4b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
18.2b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

285×	`*-un-lft-identity`
120×	`times-frac`
113×	`associate-l`
94×	`distribute-lft-out`
81×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`associate-r`
34×	`swap-sqr`
15×	`associate-/l*`
9×	`*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
8×	`associate-/r*` `associate-/l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`frac-times` `add-log-exp`
3×	`flip3--` `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`

Counts

2 → 183

Calls

2 calls:

15.0ms	(+ (* x x) (* y y))
29.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x x) (* y y))
65.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	552	1904
1	2882	1846
2	5001	1844

prune175.0ms

Filtered

189 candidates to 80 candidates (57.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	185	4	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	186	4	190

Merged error: 0.7b

Counts

190 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
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)
18.2b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

794×	`*-un-lft-identity`
360×	`times-frac`
313×	`associate-l`
260×	`distribute-lft-out`
252×	`unpow-prod-down`
229×	`add-sqr-sqrt`
131×	`cbrt-prod`
129×	`add-cube-cbrt`
100×	`associate-r`
94×	`swap-sqr`
25×	`*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
15×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`associate-/r*` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`associate-/r/` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `frac-times` `pow-unpow` `div-exp`
3×	`flip3--` `pow-exp` `flip--` `div-inv` `rem-cube-cbrt`
2×	`unpow3` `associate-r/` `associate-l/` `prod-exp` `rem-cbrt-cube` `cbrt-unprod` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log`

Counts

4 → 470

Calls

4 calls:

19.0ms	(+ (* x x) (* y y))
39.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
36.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
29.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* x x) (* y y))
83.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
78.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
69.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

482 → 482

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1121	5536
1	5002	5393

prune465.0ms

Filtered

482 candidates to 178 candidates (63.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	480	2	482
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	482	4	486

Merged error: 0.7b

Counts

486 → 4

localize2.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.7b

Counts

4 → 4

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.7b

Counts

4 → 4

regimes78.0ms

Accuracy

77.4% (4.4b remaining)

Error of 4.9b against oracle of 0.5b and baseline of 20.1b

bsearch86.0ms

Steps

Iters	Range	Point
7	1.6724037860112724e-179	7.134547063365551e-178	7.031185991620305e-178
7	-3.014830571961702e-164	-8.139740203510034e-166	-2.9793119583991456e-164
8	-2.283181266341636e+156	-1.537752741313912e+152	-1.566113249976887e+152

Iters

Range

Point

1.6724037860112724e-179

7.134547063365551e-178

7.031185991620305e-178

-3.014830571961702e-164

-8.139740203510034e-166

-2.9793119583991456e-164

-2.283181266341636e+156

-1.537752741313912e+152

-1.566113249976887e+152

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	21
1	34	21

end0.0ms

sample493.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
113.0ms	8000×	pre	80	true