Details

sample35.0ms

Algorithm

intervals

Results

20.0ms

321×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3385
7	1577
6	779
5	462
4	258
3	113
2	48
1	22
0	12

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.25 (/ (- x z) y))
0.0b	(/ (- x z) y)
0.0b	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`times-frac`
14×	`add-cube-cbrt`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `pow1` `associate-/r*` `fma-def` `insert-posit16` `log1p-expm1-u`
2×	`div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `fma-udef` `div-inv` `flip--` `distribute-lft-out`

Counts

3 → 71

Calls

3 calls:

22.0ms	(+ 0.25 (/ (- x z) y))
16.0ms	(/ (- x z) y)
0.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

series100.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ 0.25 (/ (- x z) y))
38.0ms	(/ (- x z) y)
38.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

simplify1.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	1928
2	665
1	276
0	122

prune347.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* (- x z) 4.0) y) 2.0)
0.0b	(/ (* (- x z) 4.0) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`fma-def` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-*l/` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip3--` `prod-exp` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `associate-/l*`

Counts

2 → 48

Calls

2 calls:

18.0ms	(+ (/ (* (- x z) 4.0) y) 2.0)
16.0ms	(/ (* (- x z) 4.0) y)

series75.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (/ (* (- x z) 4.0) y) 2.0)
46.0ms	(/ (* (- x z) 4.0) y)

simplify1.9s

Counts

54 → 54

Iterations

Iter	Nodes
done	5063
3	2895
2	793
1	258
0	92

prune205.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y))
0.0b	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y)) 4.0 1.0)
0.0b	(/ (- x z) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

0.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y))
0.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y)) 4.0 1.0)
17.0ms	(/ (- x z) y)

series162.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y))
69.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y)) 4.0 1.0)
34.0ms	(/ (- x z) y)

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
3	1536
2	517
1	224
0	112

prune350.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y))) 4.0 1.0)
0.0b	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
206×	`add-sqr-sqrt`
202×	`*-un-lft-identity`
194×	`add-cube-cbrt`
169×	`prod-diff`
29×	`div-inv`
13×	`fma-neg`
5×	`add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`fma-udef`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 230

Calls

3 calls:

0.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y))) 4.0 1.0)
0.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y)))
51.0ms	(- (/ x y) (/ z y))

series184.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y))) 4.0 1.0)
69.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y)))
36.0ms	(- (/ x y) (/ z y))

simplify2.0s

Counts

239 → 239

Iterations

Iter	Nodes
done	5000
2	1738
1	765
0	347

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

10131×

body

valid