Details

sample49.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify203.0ms

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 1 expressions with local error:

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

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

242.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify6.8s

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
3	3960
2	664
1	167
0	55

prune470.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 2 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `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:

62.0ms	(+ (* a (+ b c)) (* a d))
54.0ms	(* a (+ b c))

series137.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* a (+ b c)) (* a d))
66.0ms	(* a (+ b c))

simplify2.6s

Counts

50 → 50

Iterations

Iter	Nodes
done	5002
2	908
1	246
0	78

prune700.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 2 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`fma-def`
4×	`sum-log`
3×	`add-sqr-sqrt` `*-un-lft-identity` `distribute-rgt-out` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 37

Calls

2 calls:

100.0ms	(+ (+ (* b a) (* c a)) (* a d))
23.0ms	(+ (* b a) (* c a))

series107.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (+ (* b a) (* c a)) (* a d))
55.0ms	(+ (* b a) (* c a))

simplify5.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	3649
2	839
1	203
0	63

prune540.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
0.3b	(* a (sqrt (+ b c)))
0.4b	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

17.0ms	(sqrt (+ b c))
115.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
47.0ms	(* a (sqrt (+ b c)))
143.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt (+ b c))
126.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
120.0ms	(* a (sqrt (+ b c)))
79.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify3.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1701
1	491
0	176

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

427.0ms	8000×	body	80	valid
327.0ms	8000×	pre	80	true