Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify305.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	9	19
1	19	18
2	39	18
3	77	18
4	131	18
5	193	18
6	234	18
7	242	18
done	242	18

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize11.0ms

Local error

Found 2 expressions with local error:

4.8b	(- (* x x) (* (* y 4.0) y))
29.5b	(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite39.0ms

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

Counts

2 → 48

Calls

2 calls:

9.0ms	(- (* x x) (* (* y 4.0) y))
28.0ms	(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (* x x) (* (* y 4.0) y))
101.0ms	(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify1.3s

Counts

54 → 54

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	90	1183
1	246	1158
2	1454	1051
done	5001	1047

prune234.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow y 2) 4.0)
2.3b	(fma x x (- (* y (* y 4.0))))
29.5b	(/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (pow y 2) 4.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`times-frac`
8×	`associate-l`
7×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `associate-r` `prod-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv`

Counts

3 → 68

Calls

3 calls:

26.0ms	(* (pow y 2) 4.0)
1.0ms	(fma x x (- (* y (* y 4.0))))
11.0ms	(/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (pow y 2) 4.0)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (pow y 2) 4.0)
73.0ms	(fma x x (- (* y (* y 4.0))))
119.0ms	(/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (pow y 2) 4.0)))

simplify776.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	111	1226
1	211	1198
2	881	1075
done	5001	1075

prune338.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow y 2) 4.0)
0.0b	(cbrt (pow (/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (pow y 2) 4.0))) 3))
2.3b	(fma x x (- (* y (* y 4.0))))
29.5b	(/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (pow y 2) 4.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`cbrt-prod`
30×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
17×	`unpow-prod-down`
13×	`cube-prod`
11×	`add-exp-log`
8×	`associate-l` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r` `prod-exp` `associate-/r` `div-inv` `associate-/l` `sqr-pow`
2×	`unpow2`
1×	`cbrt-undiv` `cube-div` `cube-mult` `pow-to-exp` `cbrt-div` `frac-2neg` `pow1/3` `unpow3` `div-exp` `pow-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `fma-udef`

Counts

4 → 112

Calls

4 calls:

18.0ms	(* (pow y 2) 4.0)
6.0ms	(cbrt (pow (/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (pow y 2) 4.0))) 3))
0.0ms	(fma x x (- (* y (* y 4.0))))
6.0ms	(/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (pow y 2) 4.0)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (pow y 2) 4.0)
114.0ms	(cbrt (pow (/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (pow y 2) 4.0))) 3))
75.0ms	(fma x x (- (* y (* y 4.0))))
147.0ms	(/ (fma x x (- (* y (* y 4.0)))) (fma x x (* (pow y 2) 4.0)))

simplify1.6s

Counts

124 → 124

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	177	2965
1	455	2580
2	2519	2413
done	5001	2365

prune530.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes129.0ms

Accuracy

61.7% (12.2b remaining)

Error of 12.6b against oracle of 0.4b and baseline of 32.3b

bsearch266.0ms

Steps

Iters	Range		Point
9	5.544110015415869e+89	8.73093819312065e+95	6.052303689076668e+95
9	2.507054277993032e-156	3.616730134671116e-149	1.2958981514480286e-152
8	-2.895351554843775e-99	-1.1436941264463758e-103	-6.621300319852041e-102
10	-7.015537041391403e+155	-1.2785578264641574e+145	-1.517398075841732e+145

simplify15.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	28	63
1	38	55
2	46	55
done	46	55

end0.0ms

sample950.0ms

Algorithm

intervals

Results

643.0ms

8000×

body

valid