Details

sample63.0ms

Algorithm

intervals

Results

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

simplify49.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	92
5	92
4	91
3	71
2	40
1	18
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

0.1b	(* a (+ (+ b c) d))

rewrite74.0ms

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:

73.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.1s

Counts

30 → 30

Iterations

Iter	Nodes
3	3535
2	594
1	152
0	55

prune240.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

15.0ms	(* (+ b c) a)
21.0ms	(+ (* (+ b c) a) (* d a))

series95.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (+ b c) a)
47.0ms	(+ (* (+ b c) a) (* d a))

simplify1.3s

Counts

46 → 46

Iterations

Iter	Nodes
3	2831
2	760
1	211
0	75

prune333.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
0.1b	(sqrt (* (+ b c) a))
0.1b	(sqrt (* (+ b c) a))
0.5b	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*l/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log` `pow-sqr` `sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`associate-*r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `fma-def` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

49.0ms	(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
7.0ms	(sqrt (* (+ b c) a))
7.0ms	(sqrt (* (+ b c) a))
58.0ms	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
124.0ms	(sqrt (* (+ b c) a))
118.0ms	(sqrt (* (+ b c) a))
25.0ms	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify1.6s

Counts

119 → 119

Iterations

Iter	Nodes
3	4174
2	1042
1	325
0	132

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt (* (+ b c) a)))
0.2b	(sqrt (sqrt (* (+ b c) a)))
0.3b	(* (sqrt (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a)))
0.4b	(* (sqrt (sqrt (* (+ b c) a))) (* (sqrt (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a))))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

161×	`sqrt-pow1`
147×	`pow1`
116×	`sqrt-div`
80×	`associate-*l/`
78×	`pow-prod-up`
52×	`pow1/2`
50×	`pow-prod-down`
35×	`flip3-+` `flip-+`
32×	`frac-times`
22×	`sqrt-prod`
19×	`add-sqr-sqrt`
16×	`associate-*r/`
14×	`associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`pow-plus`
5×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`rem-sqrt-square` `cube-unmult` `*-commutative` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

10.0ms	(sqrt (sqrt (* (+ b c) a)))
13.0ms	(sqrt (sqrt (* (+ b c) a)))
90.0ms	(* (sqrt (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a)))
235.0ms	(* (sqrt (sqrt (* (+ b c) a))) (* (sqrt (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(sqrt (sqrt (* (+ b c) a)))
109.0ms	(sqrt (sqrt (* (+ b c) a)))
156.0ms	(* (sqrt (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a)))
29.0ms	(* (sqrt (sqrt (* (+ b c) a))) (* (sqrt (sqrt (* (+ b c) a))) (sqrt (* (+ b c) a))))

simplify2.0s

Counts

200 → 200

Iterations

Iter	Nodes
3	3306
2	1455
1	621
0	239

prune2.2s

Pruning

5 alts after pruning (2 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

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

599.0ms	8000×	pre	80	true
481.0ms	8000×	body	80	valid