Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

321×

body

valid

simplify4.8s

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

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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)

rewrite76.0ms

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:

35.0ms	(+ 0.25 (/ (- x z) y))
36.0ms	(/ (- x z) y)
1.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

series102.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ 0.25 (/ (- x z) y))
37.0ms	(/ (- x z) y)
42.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

simplify3.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5005
3	1955
2	674
1	276
0	122

prune802.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite104.0ms

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-*r/` `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:

49.0ms	(+ (/ (* 4.0 (- x z)) y) 2.0)
51.0ms	(/ (* 4.0 (- x z)) y)

series109.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (/ (* 4.0 (- x z)) y) 2.0)
71.0ms	(/ (* 4.0 (- x z)) y)

simplify5.5s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	3859
2	862
1	255
0	92

prune736.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize58.0ms

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)

rewrite69.0ms

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:

2.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y))
2.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y)) 4.0 1.0)
59.0ms	(/ (- x z) y)

series198.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y))
90.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y)) 4.0 1.0)
39.0ms	(/ (- x z) y)

simplify3.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	1711
2	518
1	224
0	112

prune811.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize59.0ms

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))

rewrite117.0ms

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:

1.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y))) 4.0 1.0)
1.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y)))
60.0ms	(- (/ x y) (/ z y))

series211.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y))) 4.0 1.0)
83.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (- (/ x y) (/ z y)))
36.0ms	(- (/ x y) (/ z y))

simplify3.9s

Counts

239 → 239

Iterations

Iter	Nodes
done	5000
2	1741
1	765
0	347

prune2.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes453.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

784.0ms

10131×

body

valid