Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	197×	body	80	valid
3.0ms	18×	body	640	valid
2.0ms	24×	body	320	valid
2.0ms	11×	body	1280	valid
0.0ms	6×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
13	4169
12	3568
11	3113
10	2621
9	2078
8	1683
7	1107
6	562
5	259
4	129
3	73
2	33
1	16
0	8

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.8b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x 1.0) (+ 1.0 y))
14.1b	(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `fma-udef` `div-inv` `flip--`

Counts

2 → 60

Calls

2 calls:

50.0ms	(/ (- x 1.0) (+ 1.0 y))
1.0ms	(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

series147.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- x 1.0) (+ 1.0 y))
96.0ms	(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

simplify2.9s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	3563
2	882
1	284
0	116

prune242.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ 1.0 y))
0.0b	(- (+ x (/ 1.0 y)) (/ (* x 1.0) y))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
28×	`prod-diff`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
12×	`times-frac`
10×	`distribute-lft-out`
9×	`add-log-exp`
4×	`fma-neg` `div-inv`
3×	`fma-def`
2×	`expm1-log1p-u` `pow1` `sum-log` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `difference-of-squares`

Counts

2 → 72

Calls

2 calls:

18.0ms	(+ x (/ 1.0 y))
173.0ms	(- (+ x (/ 1.0 y)) (/ (* x 1.0) y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ x (/ 1.0 y))
45.0ms	(- (+ x (/ 1.0 y)) (/ (* x 1.0) y))

simplify1.6s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1282
1	350
0	132

prune253.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.1b

bsearch132.0ms

Steps

Iters	Range		Point
10	73049.03827748532	27393673609659132.0	170810479.021181
10	-4607476146472.435	-2.7262180033832037	-178146608.6426316

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample1.1s

Algorithm

intervals

Results

443.0ms	6148×	body	80	valid
224.0ms	703×	body	640	valid
128.0ms	373×	body	1280	valid
77.0ms	503×	body	320	valid
27.0ms	273×	body	160	valid