Details

sample59.0ms

Algorithm

intervals

Results

21.0ms	256×	pre	80	true
16.0ms	256×	body	80	valid

simplify88.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	92
5	92
4	91
3	71
2	40
1	18
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.0b	(* a (+ (+ b c) d))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

40.0ms	(+ (+ b c) d)
70.0ms	(* a (+ (+ b c) d))

series79.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (+ b c) d)
48.0ms	(* a (+ (+ b c) d))

simplify2.6s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	4375
2	811
1	203
0	72

prune200.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ b c) a) (* d a))
0.0b	(* (+ b c) a)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

11.0ms	(+ (* (+ b c) a) (* d a))
28.0ms	(* (+ b c) a)

series54.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* (+ b c) a) (* d a))
26.0ms	(* (+ b c) a)

simplify3.9s

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
3	3184
2	740
1	212
0	75

prune192.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(sqrt (+ b c))
0.2b	(* (sqrt (+ b c)) a)
0.4b	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

10.0ms	(sqrt (+ b c))
10.0ms	(sqrt (+ b c))
34.0ms	(* (sqrt (+ b c)) a)
68.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series203.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ b c))
47.0ms	(sqrt (+ b c))
71.0ms	(* (sqrt (+ b c)) a)
46.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify2.5s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
3	2919
2	923
1	345
0	138

prune524.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ b c)) a)
0.4b	(* (cbrt (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c)))) (* (sqrt (+ b c)) a))
0.5b	(* (sqrt (+ b c)) (sqrt (+ b c)))
6.4b	(cbrt (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

284×	`sqrt-div`
168×	`frac-times`
142×	`flip3-+` `flip-+`
140×	`associate-*l/`
104×	`cbrt-div`
36×	`associate-*r/`
32×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`sqrt-prod`
26×	`pow1`
18×	`associate-l`
16×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`add-cbrt-cube` `swap-sqr` `associate-r`
8×	`sqrt-pow1` `pow1/2`
7×	`pow-prod-down` `distribute-lft-out`
6×	`unswap-sqr`
5×	`prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr` `*-commutative`
2×	`cbrt-prod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `pow1/3` `sqrt-unprod` `pow3` `rem-cbrt-cube`

Counts

4 → 234

Calls

4 calls:

30.0ms	(* (sqrt (+ b c)) a)
102.0ms	(* (cbrt (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c)))) (* (sqrt (+ b c)) a))
31.0ms	(* (sqrt (+ b c)) (sqrt (+ b c)))
82.0ms	(cbrt (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (sqrt (+ b c)) a)
73.0ms	(* (cbrt (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c)))) (* (sqrt (+ b c)) a))
52.0ms	(* (sqrt (+ b c)) (sqrt (+ b c)))
44.0ms	(cbrt (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c))))

simplify2.0s

Counts

246 → 246

Iterations

Iter	Nodes
done	5000
2	2011
1	952
0	372

prune859.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes350.0ms

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	12
1	12
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

615.0ms	8000×	pre	80	true
377.0ms	8000×	body	80	valid