Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 35.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
5.2b	(- (* x x) (* (* y 4.0) y))
35.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite17.0ms

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:

3.0ms	(+ (* x x) (* (* y 4.0) y))
2.0ms	(- (* x x) (* (* y 4.0) y))
11.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x x) (* (* y 4.0) y))
46.0ms	(- (* x x) (* (* y 4.0) y))
63.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (29.0ms)

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

prune136.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

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

prune2.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.8b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.8b

localize8.0ms

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))))
25.2b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
30.0b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite51.0ms

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:

3.0ms	(+ (* x x) (* (* y 4.0) y))
31.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
9.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
6.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x x) (* (* y 4.0) y))
68.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
53.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
51.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	396	987
1	1934	882
2	5001	881

prune162.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.8b

regimes155.0ms

Accuracy

59.5% (13.0b remaining)

Error of 13.3b against oracle of 0.3b and baseline of 32.4b

bsearch77.0ms

Steps

Iters	Range		Point
3	2.4619265171681868e+196	3.3149720398508438e+196	3.0483953140125132e+196
7	141747905838.4357	2372984889818.4707	299816373994.0874
8	1.539862234822313e-35	1.5658068402632728e-31	9.042843561947589e-32
0	0.0	2.1447389685969e-320	1.0721224514755e-320

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	28
1	32	28

end0.0ms

sample544.0ms

Algorithm

intervals

Results

415.0ms

8000×

body

valid