Details

sample36.0ms

Algorithm

intervals

Results

22.0ms

331×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4768
11	2301
10	821
9	365
8	226
7	129
6	95
5	72
4	55
3	36
2	20
1	11
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- z x) y x)
9.9b	(/ (fma (- z x) y x) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

0.0ms	(fma (- z x) y x)
8.0ms	(/ (fma (- z x) y x) z)

series130.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma (- z x) y x)
75.0ms	(/ (fma (- z x) y x) z)

simplify2.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
4	4692
3	1010
2	269
1	119
0	68

prune197.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ y (fma (/ x z) (- y) (/ x z)))
1.9b	(fma (/ x z) (- y) (/ x z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ y (fma (/ x z) (- y) (/ x z)))
0.0ms	(fma (/ x z) (- y) (/ x z))

series95.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ y (fma (/ x z) (- y) (/ x z)))
58.0ms	(fma (/ x z) (- y) (/ x z))

simplify1.8s

Counts

36 → 36

Iterations

Iter	Nodes
done	5014
3	1250
2	261
1	103
0	46

prune144.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.9b	(fma (/ x z) (- y) (/ x z))
1.9b	(fma (/ x z) (- y) (/ x z))
8.0b	(sqrt (fma (/ x z) (- y) (/ x z)))
8.0b	(sqrt (fma (/ x z) (- y) (/ x z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 54

Calls

4 calls:

0.0ms	(fma (/ x z) (- y) (/ x z))
0.0ms	(fma (/ x z) (- y) (/ x z))
1.0ms	(sqrt (fma (/ x z) (- y) (/ x z)))
2.0ms	(sqrt (fma (/ x z) (- y) (/ x z)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma (/ x z) (- y) (/ x z))
47.0ms	(fma (/ x z) (- y) (/ x z))
167.0ms	(sqrt (fma (/ x z) (- y) (/ x z)))
167.0ms	(sqrt (fma (/ x z) (- y) (/ x z)))

simplify2.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
4	3906
3	1055
2	318
1	119
0	55

prune375.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ z (sqrt (fma (- z x) y x)))
0.2b	(/ (sqrt (fma (- z x) y x)) (/ z (sqrt (fma (- z x) y x))))
5.7b	(sqrt (fma (- z x) y x))
5.7b	(sqrt (fma (- z x) y x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
28×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv` `associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/r/`

Counts

4 → 252

Calls

4 calls:

9.0ms	(/ z (sqrt (fma (- z x) y x)))
13.0ms	(/ (sqrt (fma (- z x) y x)) (/ z (sqrt (fma (- z x) y x))))
2.0ms	(sqrt (fma (- z x) y x))
3.0ms	(sqrt (fma (- z x) y x))

series360.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ z (sqrt (fma (- z x) y x)))
55.0ms	(/ (sqrt (fma (- z x) y x)) (/ z (sqrt (fma (- z x) y x))))
114.0ms	(sqrt (fma (- z x) y x))
122.0ms	(sqrt (fma (- z x) y x))

simplify1.6s

Counts

264 → 264

Iterations

Iter	Nodes
done	5000
2	1811
1	767
0	301

prune1.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

841.0ms

10050×

body

valid