Details

sample69.0ms

Algorithm

intervals

Results

51.0ms

469×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2484
6	817
5	346
4	202
3	109
2	59
1	23
0	11

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.4b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ y (/ (* (- x z) (+ z x)) y))
12.7b	(/ (* (- x z) (+ z x)) y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

11.0ms	(+ y (/ (* (- x z) (+ z x)) y))
32.0ms	(/ (* (- x z) (+ z x)) y)

series131.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ y (/ (* (- x z) (+ z x)) y))
66.0ms	(/ (* (- x z) (+ z x)) y)

simplify1.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5010
2	1254
1	317
0	105

prune350.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite915.0ms

Algorithm

rewrite-expression-head

Rules

11866×	`times-frac`
6322×	`add-sqr-sqrt`
6311×	`*-un-lft-identity`
6286×	`add-cube-cbrt`
3872×	`prod-diff`
1938×	`associate-+r+`
720×	`div-inv`
179×	`associate-/r/`
44×	`fma-neg`
26×	`associate-/r*`
14×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `frac-sub` `flip-+` `flip--`

Counts

4 → 4116

Calls

4 calls:

33.0ms	(- (/ x (/ y x)) (/ z (/ y z)))
104.0ms	(+ y (- (/ x (/ y x)) (/ z (/ y z))))
6.0ms	(/ z (/ y z))
6.0ms	(/ x (/ y x))

series267.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (/ x (/ y x)) (/ z (/ y z)))
88.0ms	(+ y (- (/ x (/ y x)) (/ z (/ y z))))
30.0ms	(/ z (/ y z))
43.0ms	(/ x (/ y x))

simplify5.4s

Counts

4128 → 4128

Iterations

Iter	Nodes
done	5000
0	4393

prune37.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (/ y x)) (/ (/ z y) (/ 1 z)))
0.0b	(+ y (- (/ x (/ y x)) (/ (/ z y) (/ 1 z))))
0.2b	(/ x (/ y x))
0.2b	(/ (/ z y) (/ 1 z))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

59062×	`times-frac`
28658×	`add-sqr-sqrt`
28588×	`*-un-lft-identity`
28562×	`add-cube-cbrt`
15312×	`prod-diff`
7658×	`associate-+r+`
3807×	`div-inv`
439×	`associate-/r/`
44×	`fma-neg`
31×	`add-exp-log`
26×	`associate-/r*`
21×	`add-cbrt-cube` `difference-of-squares`
19×	`div-exp`
16×	`associate-/l*`
11×	`cbrt-undiv` `add-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `1-exp` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `frac-sub` `flip-+` `flip--` `associate-/l/`

Counts

4 → 15715

Calls

4 calls:

63.0ms	(- (/ x (/ y x)) (/ (/ z y) (/ 1 z)))
171.0ms	(+ y (- (/ x (/ y x)) (/ (/ z y) (/ 1 z))))
6.0ms	(/ x (/ y x))
17.0ms	(/ (/ z y) (/ 1 z))

series206.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (/ x (/ y x)) (/ (/ z y) (/ 1 z)))
63.0ms	(+ y (- (/ x (/ y x)) (/ (/ z y) (/ 1 z))))
37.0ms	(/ x (/ y x))
30.0ms	(/ (/ z y) (/ 1 z))

simplify22.5s

Counts

15727 → 15727

Iterations

Iter	Nodes
done	15419
0	15419

prune2.4m

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (- (/ 1 (/ (/ y x) x)) (/ z (/ y z))))
0.1b	(/ (/ y x) x)
0.2b	(/ 1 (/ (/ y x) x))
0.2b	(/ z (/ y z))

rewrite938.0ms

Algorithm

rewrite-expression-head

Rules

23775×	`times-frac`
11526×	`*-un-lft-identity`
11519×	`add-sqr-sqrt` `add-cube-cbrt`
5898×	`associate-+r+`
5896×	`prod-diff`
1136×	`div-inv`
180×	`associate-/r/`
59×	`associate-/r*`
35×	`add-exp-log`
23×	`add-cbrt-cube`
21×	`div-exp`
19×	`associate-/l*`
12×	`cbrt-undiv`
9×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `fma-def` `frac-2neg` `1-exp` `distribute-lft-out`
2×	`sum-log` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 6269

Calls

4 calls:

145.0ms	(+ y (- (/ 1 (/ (/ y x) x)) (/ z (/ y z))))
10.0ms	(/ (/ y x) x)
21.0ms	(/ 1 (/ (/ y x) x))
13.0ms	(/ z (/ y z))

series186.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ y (- (/ 1 (/ (/ y x) x)) (/ z (/ y z))))
51.0ms	(/ (/ y x) x)
30.0ms	(/ 1 (/ (/ y x) x))
40.0ms	(/ z (/ y z))

simplify14.1s

Counts

6281 → 6281

Iterations

Iter	Nodes
done	12373
0	12373

prune1.0m

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes331.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.2s

13793×

body

valid