Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

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: 34.9b

localize9.0ms

Local error

Found 2 expressions with local error:

4.5b	(- (* x x) (* (* y 4.0) y))
34.2b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

2.0ms	(- (* x x) (* (* y 4.0) y))
10.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* x x) (* (* y 4.0) y))
60.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify189.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	221	583
1	964	535
2	4814	534
3	5001	534

prune121.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

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

prune7.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
23.3b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
25.9b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

34.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
10.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
6.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
54.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
48.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	362	890
1	1737	796
2	5001	796

prune153.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
23.3b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
25.9b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

31.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
10.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
6.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
59.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
53.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	362	890
1	1737	796
2	5001	796

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

regimes148.0ms

Accuracy

55.1% (14.4b remaining)

Error of 14.8b against oracle of 0.4b and baseline of 32.4b

bsearch156.0ms

Steps

Iters	Range		Point
8	3.3248230496188427e+259	1.4319432875630967e+262	9.401781485752867e+260
7	1.8173292678763835e+227	5.8320208877262626e+228	2.369436021557519e+227
8	2.542928968208428e+183	1.6225623410013362e+188	1.7671028773181022e+187
7	7.077277380847662e+31	3.0375193260880744e+33	7.163245107763861e+31
11	5.484209576279347e-94	4.482275143764029e-70	6.5123029565822326e-77
5	3.113930443487508e-214	1.0257908551054914e-213	6.568174626165863e-214

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	117
1	41	117

end0.0ms

sample375.0ms

Algorithm

intervals

Results

240.0ms

8000×

body

valid