Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

315×

body

valid

simplify130.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	243
6	243
5	241
4	196
3	98
2	44
1	16
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`associate-l/` `associate-r/` `distribute-lft-out`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

43.0ms

(* (+ x y) (+ z 1.0))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (+ x y) (+ z 1.0))

simplify1.3s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1150
1	284
0	81

prune171.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) z) (* (+ x y) 1.0))
0.0b	(* (+ x y) z)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`pow1` `add-cbrt-cube` `associate-l` `frac-add` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

21.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
25.0ms	(* (+ x y) z)

series114.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
34.0ms	(* (+ x y) z)

simplify1.4s

Counts

50 → 50

Iterations

Iter	Nodes
done	5003
2	1132
1	309
0	100

prune211.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ z 1.0))
0.0b	(sqrt (+ z 1.0))
0.1b	(* (+ x y) (sqrt (+ z 1.0)))
0.1b	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
21×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`sqrt-prod`
16×	`associate-*l/`
14×	`associate-r`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
5×	`associate-l` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

5.0ms	(sqrt (+ z 1.0))
6.0ms	(sqrt (+ z 1.0))
25.0ms	(* (+ x y) (sqrt (+ z 1.0)))
66.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ z 1.0))
43.0ms	(sqrt (+ z 1.0))
88.0ms	(* (+ x y) (sqrt (+ z 1.0)))
44.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify2.2s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	1653
1	507
0	189

prune774.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ z 1.0)))
0.1b	(* (+ x y) (sqrt (+ z 1.0)))
0.1b	(* (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0)))) (sqrt (sqrt (+ z 1.0))))
0.1b	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

334×	`sqrt-div`
168×	`frac-times`
142×	`flip3-+` `flip-+`
84×	`associate-*l/`
39×	`sqrt-prod`
36×	`associate-*r/`
27×	`associate-r`
25×	`*-un-lft-identity`
22×	`pow1`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube` `add-exp-log`
15×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 225

Calls

4 calls:

6.0ms	(sqrt (sqrt (+ z 1.0)))
33.0ms	(* (+ x y) (sqrt (+ z 1.0)))
185.0ms	(* (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0)))) (sqrt (sqrt (+ z 1.0))))
51.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(sqrt (sqrt (+ z 1.0)))
105.0ms	(* (+ x y) (sqrt (+ z 1.0)))
44.0ms	(* (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0)))) (sqrt (sqrt (+ z 1.0))))
144.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))))

simplify3.5s

Counts

237 → 237

Iterations

Iter	Nodes
done	5001
2	4163
1	1124
0	405

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes292.0ms

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	10
1	10
0	7

end0.0ms

sample921.0ms

Algorithm

intervals

Results

622.0ms	10028×	body	80	valid
0.0ms	1×	body	640	valid