Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	9
1	40	9
2	78	9
3	134	9
4	200	9
5	233	9
6	239	9
7	239	9

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.1b	(- (* x x) (* (* y 4.0) y))
33.7b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite19.0ms

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` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `sum-log` `div-inv`

Counts

3 → 64

Calls

3 calls:

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

series144.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x x) (* (* y 4.0) y))
47.0ms	(- (* x x) (* (* y 4.0) y))
61.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	254	719
1	1175	657
2	5001	641

prune183.0ms

Filtered

73 candidates to 59 candidates (80.8%)

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

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 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 (2 fresh and 2 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

2.3b	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
2.7b	(/ x (/ (fma x x (* (* y 4.0) y)) x))
18.6b	(/ (fma x x (* (* y 4.0) y)) y)
20.6b	(/ (fma x x (* (* y 4.0) y)) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac`
76×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`associate-/r*`
25×	`add-exp-log` `add-cbrt-cube`
11×	`cbrt-undiv` `div-exp`
10×	`div-inv` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `associate-/r/` `cbrt-unprod`

Counts

4 → 178

Calls

4 calls:

7.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
7.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
3.0ms	(/ (fma x x (* (* y 4.0) y)) y)
3.0ms	(/ (fma x x (* (* y 4.0) y)) x)

series250.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
54.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
64.0ms	(/ (fma x x (* (* y 4.0) y)) y)
76.0ms	(/ (fma x x (* (* y 4.0) y)) x)

simplify101.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	613	1740
1	3220	1580
2	5001	1575

prune461.0ms

Filtered

190 candidates to 143 candidates (75.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes206.0ms

Accuracy

61.1% (12.2b remaining)

Error of 12.6b against oracle of 0.4b and baseline of 31.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample343.0ms

Algorithm

intervals

Results

218.0ms

8000×

body

valid