Details

sample26.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify45.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	89
5	89
4	85
3	66
2	39
1	18
0	7

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

31.0ms	(+ (+ b c) d)
96.0ms	(* (+ (+ b c) d) a)

series54.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ b c) d)
37.0ms	(* (+ (+ b c) d) a)

simplify308.0ms

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	736
1	158
0	64

prune196.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3-+` `associate-l` `flip-+`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`pow-sqr` `sqrt-prod`
4×	`frac-times` `swap-sqr` `add-log-exp`
3×	`distribute-lft-out`
2×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 105

Calls

4 calls:

69.0ms	(* (+ b (+ c d)) a)
17.0ms	(sqrt (* (+ b (+ c d)) a))
13.0ms	(sqrt (* (+ b (+ c d)) a))
119.0ms	(* (sqrt (* (+ b (+ c d)) a)) (sqrt (* (+ b (+ c d)) a)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ b (+ c d)) a)
113.0ms	(sqrt (* (+ b (+ c d)) a))
102.0ms	(sqrt (* (+ b (+ c d)) a))
38.0ms	(* (sqrt (* (+ b (+ c d)) a)) (sqrt (* (+ b (+ c d)) a)))

simplify770.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	1609
1	327
0	127

prune466.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

12.0ms	(+ (* a (+ d b)) (* a c))
20.0ms	(* a (+ d b))

series101.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* a (+ d b)) (* a c))
39.0ms	(* a (+ d b))

simplify575.0ms

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	998
1	229
0	72

prune218.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

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×	`flip3-+` `flip-+`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

3 → 69

Calls

3 calls:

44.0ms	(+ (* (sqrt a) (* (sqrt a) (+ d b))) (* a c))
28.0ms	(* (sqrt a) (+ d b))
44.0ms	(* (sqrt a) (* (sqrt a) (+ d b)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* (sqrt a) (* (sqrt a) (+ d b))) (* a c))
115.0ms	(* (sqrt a) (+ d b))
64.0ms	(* (sqrt a) (* (sqrt a) (+ d b)))

simplify894.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	2135
1	413
0	129

prune421.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes392.0ms

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

sample930.0ms

Algorithm

intervals

Results

326.0ms	8000×	body	80	valid
324.0ms	8000×	pre	80	true