Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	9
1	36	9
2	68	9
3	117	9
4	174	9
5	195	9
6	197	9
7	197	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
5.1b	(- (* x x) (* (* y 4.0) y))
33.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

8.0ms	(+ (* x x) (* (* y 4.0) y))
7.0ms	(- (* x x) (* (* y 4.0) y))
26.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* x x) (* (* y 4.0) y))
41.0ms	(- (* x x) (* (* y 4.0) y))
66.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	234	680
1	1007	622
2	5001	620

prune135.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
24.3b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
27.2b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-/r/` `add-log-exp`
7×	`times-frac`
6×	`associate-/r*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `prod-exp` `cbrt-unprod` `div-inv`
3×	`distribute-rgt-out--`
2×	`frac-2neg` `clear-num` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 79

Calls

4 calls:

8.0ms	(+ (* x x) (* (* y 4.0) y))
70.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
18.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
26.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x x) (* (* y 4.0) y))
73.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
50.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
57.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	396	987
1	1942	882
2	5001	881

prune177.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

32.5b	(cbrt (+ (* x x) (* (* y 4.0) y)))
32.5b	(cbrt (- (* x x) (* (* y 4.0) y)))
32.5b	(cbrt (- (* x x) (* (* y 4.0) y)))
32.5b	(cbrt (- (* x x) (* (* y 4.0) y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`flip3-+` `flip-+`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
116.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
116.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
123.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	189	615
1	551	571
2	1789	563
3	5001	563

prune227.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes151.0ms

Accuracy

57.4% (13.3b remaining)

Error of 13.6b against oracle of 0.3b and baseline of 31.5b

bsearch53.0ms

Steps

Iters	Range		Point
8	2.119475714373064e+145	1.347487559726603e+150	3.3035750639902758e+146
7	1.767858896017963e+23	3.3826691965461095e+25	3.466117516972679e+23
6	2.3084783150670496e-30	2.3342772887013993e-29	6.796343694084571e-30
0	1.353739869605e-321	6.9752187879867e-320	3.5552963874736e-320

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	36
1	29	36

end0.0ms

sample374.0ms

Algorithm

intervals

Results

212.0ms

8000×

body

valid