Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize7.0ms

Local error

Found 2 expressions with local error:

3.1b	(- (* x x) (* (* y 4.0) y))
29.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite13.0ms

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

Counts

2 → 50

Calls

2 calls:

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

series109.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* x x) (* (* y 4.0) y))
66.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	237	617
1	1114	565
2	5002	555

prune142.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

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: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

1.5b	(/ x (/ (fma x x (* (* y 4.0) y)) x))
2.1b	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
17.1b	(/ (fma x x (* (* y 4.0) y)) x)
18.0b	(/ (fma x x (* (* y 4.0) y)) y)

rewrite24.0ms

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:

6.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
6.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
3.0ms	(/ (fma x x (* (* y 4.0) y)) x)
3.0ms	(/ (fma x x (* (* y 4.0) y)) y)

series255.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
58.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
71.0ms	(/ (fma x x (* (* y 4.0) y)) x)
68.0ms	(/ (fma x x (* (* y 4.0) y)) y)

simplify95.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 1 (18.0ms)

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

prune453.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (* x x) (* (* y 4.0) y))
29.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
29.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
29.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
6×	`associate-/r/` `associate-/l/` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 118

Calls

4 calls:

4.0ms	(- (* x x) (* (* y 4.0) y))
12.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
9.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
9.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* x x) (* (* y 4.0) y))
67.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
64.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
60.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	237	1605
1	1114	1473
2	5002	1451

prune435.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes201.0ms

Accuracy

62.1% (12.0b remaining)

Error of 12.3b against oracle of 0.4b and baseline of 31.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	28
1	30	28

end0.0ms

sample349.0ms

Algorithm

intervals

Results

225.0ms

8000×

body

valid