Details

sample62.0ms

Algorithm

intervals

Results

22.0ms	256×	pre	80	true
18.0ms	256×	body	80	valid

simplify51.0ms

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 1 expressions with local error:

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

rewrite58.0ms

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:

58.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify1.2s

Counts

30 → 30

Iterations

Iter	Nodes
done	2003
3	2003
2	668
1	166
0	55

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:

23.0ms	(+ (* a (+ b c)) (* a d))
28.0ms	(* a (+ b c))

series102.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* a (+ b c)) (* a d))
41.0ms	(* a (+ b c))

simplify968.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	2017
3	2017
2	886
1	245
0	78

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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-+r+` `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:

29.0ms	(* a (+ c d))
22.0ms	(+ (* a b) (* a (+ c d)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* a (+ c d))
53.0ms	(+ (* a b) (* a (+ c d)))

simplify934.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	2015
3	2015
2	887
1	243
0	78

prune228.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

39.0ms	(+ (* (sqrt a) (* (sqrt a) (+ b c))) (* a d))
22.0ms	(* (sqrt a) (+ b c))
44.0ms	(* (sqrt a) (* (sqrt a) (+ b c)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (* (sqrt a) (* (sqrt a) (+ b c))) (* a d))
94.0ms	(* (sqrt a) (+ b c))
56.0ms	(* (sqrt a) (* (sqrt a) (+ b c)))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	2002
3	2002
2	1505
1	429
0	135

prune396.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes343.0ms

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

sample1.3s

Algorithm

intervals

Results

544.0ms	8000×	body	80	valid
514.0ms	8000×	pre	80	true