Details

sample60.0ms

Algorithm

intervals

Results

44.0ms

457×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1686
6	586
5	291
4	185
3	108
2	57
1	23
0	11

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z x))
0.1b	(/ (- x z) (/ y (+ z x)))
0.2b	(/ (+ (/ (- x z) (/ y (+ z x))) y) 2.0)

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

186×	`times-frac`
178×	`*-un-lft-identity`
126×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
26×	`distribute-lft-out`
25×	`associate-/r*`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
12×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`div-inv`
8×	`flip3-+` `flip-+`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/l/`
3×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `div-sub` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `associate-+l-` `flip--`

Counts

3 → 207

Calls

3 calls:

19.0ms	(/ y (+ z x))
42.0ms	(/ (- x z) (/ y (+ z x)))
316.0ms	(/ (+ (/ (- x z) (/ y (+ z x))) y) 2.0)

series230.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ y (+ z x))
92.0ms	(/ (- x z) (/ y (+ z x)))
101.0ms	(/ (+ (/ (- x z) (/ y (+ z x))) y) 2.0)

simplify1.9s

Counts

216 → 216

Iterations

Iter	Nodes
done	5000
2	3008
1	889
0	305

prune842.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x z) y)
0.1b	(fma (/ (- x z) y) (+ z x) y)
0.2b	(/ (fma (/ (- x z) y) (+ z x) y) 2.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

17.0ms	(/ (- x z) y)
0.0ms	(fma (/ (- x z) y) (+ z x) y)
5.0ms	(/ (fma (/ (- x z) y) (+ z x) y) 2.0)

series210.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- x z) y)
81.0ms	(fma (/ (- x z) y) (+ z x) y)
87.0ms	(/ (fma (/ (- x z) y) (+ z x) y) 2.0)

simplify1.9s

Counts

91 → 91

Iterations

Iter	Nodes
done	5002
3	2504
2	724
1	299
0	145

prune426.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
2.4b	(- (+ (* x x) (* y y)) (* z z))
21.8b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

9.0ms	(+ (* x x) (* y y))
76.0ms	(- (+ (* x x) (* y y)) (* z z))
108.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series191.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x x) (* y y))
55.0ms	(- (+ (* x x) (* y y)) (* z z))
104.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify1.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5005
2	1311
1	371
0	125

prune398.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (- x z) (sqrt (/ y (+ z x)))) (sqrt (/ y (+ z x))))
0.1b	(/ (- x z) (sqrt (/ y (+ z x))))
1.5b	(sqrt (/ y (+ z x)))
1.5b	(sqrt (/ y (+ z x)))

rewrite698.0ms

Algorithm

rewrite-expression-head

Rules

7475×	`times-frac`
4911×	`*-un-lft-identity`
4122×	`sqrt-prod`
3543×	`add-sqr-sqrt`
2569×	`add-cube-cbrt`
687×	`distribute-lft-out`
484×	`distribute-lft-out--` `difference-of-squares`
482×	`associate-/r/`
253×	`div-inv`
229×	`flip3-+` `flip-+`
115×	`associate-/l*`
42×	`associate-/r*`
26×	`sqrt-div`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `rem-sqrt-square` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`flip3--` `flip--`

Counts

4 → 2677

Calls

4 calls:

139.0ms	(/ (/ (- x z) (sqrt (/ y (+ z x)))) (sqrt (/ y (+ z x))))
46.0ms	(/ (- x z) (sqrt (/ y (+ z x))))
11.0ms	(sqrt (/ y (+ z x)))
21.0ms	(sqrt (/ y (+ z x)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (/ (- x z) (sqrt (/ y (+ z x)))) (sqrt (/ y (+ z x))))
90.0ms	(/ (- x z) (sqrt (/ y (+ z x))))
92.0ms	(sqrt (/ y (+ z x)))
87.0ms	(sqrt (/ y (+ z x)))

simplify4.1s

Counts

2689 → 2689

Iterations

Iter	Nodes
done	5000
0	2533

prune12.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes218.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.4s

13819×

body

valid