Details

sample61.0ms

Algorithm

intervals

Results

43.0ms

315×

body

valid

simplify89.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	58
7	58
6	55
5	52
4	46
3	39
2	29
1	16
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
3.5b	(* (/ x y) z)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l/` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 120

Calls

3 calls:

28.0ms	(/ (+ x 4) y)
66.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
10.0ms	(* (/ x y) z)

series142.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (+ x 4) y)
59.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
32.0ms	(* (/ x y) z)

simplify4.1s

Counts

129 → 129

Iterations

Iter	Nodes
3	4394
2	1304
1	414
0	168

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `pow1`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r` `associate-r/` `-commutative` `div-inv`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt x)
3.0ms	(cbrt x)
1.0ms	(cbrt x)
47.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series883.0ms

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt x)
257.0ms	(cbrt x)
273.0ms	(cbrt x)
25.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify5.6s

Counts

106 → 106

Iterations

Iter	Nodes
3	11260
2	1886
1	389
0	127

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.5b	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.5b	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `sqrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `times-frac` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3` `sqrt-div` `div-inv`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
8.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
13.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series909.0ms

Counts

4 → 12

Calls

4 calls:

368.0ms	(cbrt x)
335.0ms	(cbrt x)
99.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
108.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify4.1s

Counts

80 → 80

Iterations

Iter	Nodes
5	7193
4	1800
3	607
2	246
1	125
0	73

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize145.0ms

Local error

Found 4 expressions with local error:

2.5b	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.5b	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.5b	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.5b	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

20×	`sqrt-prod`
12×	`add-sqr-sqrt`
8×	`pow1` `rem-sqrt-square` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 80

Calls

4 calls:

16.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
16.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
9.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
12.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
68.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
95.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
94.0ms	(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
5	2174
4	751
3	310
2	150
1	86
0	53

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes386.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	22
1	22
0	18

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

10036×

body

valid