Details

sample26.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	27
5	27
4	26
3	24
2	20
1	15
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (fma (/ x 2.0) y 1.0)))
5.9b	(/ y (fma (/ x 2.0) y 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
45×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `div-inv` `add-log-exp`
3×	`associate-/r` `fma-neg` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`

Counts

2 → 90

Calls

2 calls:

10.0ms	(- x (/ y (fma (/ x 2.0) y 1.0)))
6.0ms	(/ y (fma (/ x 2.0) y 1.0))

series131.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- x (/ y (fma (/ x 2.0) y 1.0)))
79.0ms	(/ y (fma (/ x 2.0) y 1.0))

simplify2.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	4216
2	1421
1	502
0	204

prune329.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
0.1b	(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.8b	(/ (fma (/ x 2.0) y 1.0) y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
217×	`add-sqr-sqrt`
208×	`*-un-lft-identity`
203×	`add-cube-cbrt`
132×	`prod-diff`
19×	`div-inv`
16×	`associate-/r*` `add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*`
5×	`add-log-exp` `difference-of-squares`
4×	`pow1` `cbrt-undiv` `associate-/r/`
3×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `pow-flip` `flip--` `inv-pow`

Counts

3 → 266

Calls

3 calls:

15.0ms	(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
9.0ms	(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
4.0ms	(/ (fma (/ x 2.0) y 1.0) y)

series181.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
67.0ms	(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
73.0ms	(/ (fma (/ x 2.0) y 1.0) y)

simplify2.1s

Counts

275 → 275

Iterations

Iter	Nodes
done	5000
2	2871
1	1360
0	519

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ 1 (fma (/ x 2.0) y 1.0)) y))
0.4b	(/ 1 (fma (/ x 2.0) y 1.0))
5.4b	(* (/ 1 (fma (/ x 2.0) y 1.0)) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
16×	`add-exp-log`
13×	`associate-l`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp`
3×	`expm1-log1p-u` `associate-/r` `fma-neg` `associate-r` `prod-diff` `insert-posit16` `log1p-expm1-u` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `flip--` `inv-pow`

Counts

3 → 93

Calls

3 calls:

8.0ms	(- x (* (/ 1 (fma (/ x 2.0) y 1.0)) y))
8.0ms	(/ 1 (fma (/ x 2.0) y 1.0))
19.0ms	(* (/ 1 (fma (/ x 2.0) y 1.0)) y)

series213.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- x (* (/ 1 (fma (/ x 2.0) y 1.0)) y))
74.0ms	(/ 1 (fma (/ x 2.0) y 1.0))
91.0ms	(* (/ 1 (fma (/ x 2.0) y 1.0)) y)

simplify2.4s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
3	4651
2	1214
1	408
0	172

prune403.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.9b	(/ y (fma (/ x 2.0) y 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(/ y (fma (/ x 2.0) y 1.0))

series798.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt x)
210.0ms	(cbrt x)
250.0ms	(cbrt x)
74.0ms	(/ y (fma (/ x 2.0) y 1.0))

simplify1.7s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	1881
2	634
1	216
0	107

prune443.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.2s

8000×

body

valid