Details

sample34.0ms

Algorithm

intervals

Results

21.0ms

350×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
3	13
2	11
1	9
0	6

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma (/ y z) y x)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma (/ y z) y x)

simplify524.0ms

Counts

14 → 14

Iterations

Iter	Nodes
done	2000
4	605
3	166
2	60
1	29
0	20

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

12.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))

series475.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
112.0ms	(cbrt (fma (/ y z) y x))
122.0ms	(cbrt (fma (/ y z) y x))
123.0ms	(cbrt (fma (/ y z) y x))

simplify644.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
3	1258
2	422
1	174
0	87

prune384.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
4.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
4.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
5.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series450.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (fma (/ y z) y x))
100.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
118.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
115.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify484.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	2000
3	771
2	254
1	119
0	67

prune301.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
9.6b	(/ (* y y) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

9.0ms	(+ x (/ (* y y) z))
17.0ms	(/ (* y y) z)

series67.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (/ (* y y) z))
27.0ms	(/ (* y y) z)

simplify416.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	2001
2	864
1	219
0	73

prune154.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes253.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample984.0ms

Algorithm

intervals

Results

711.0ms

10692×

body

valid