Details

sample48.0ms

Algorithm

intervals

Results

18.0ms	256×	pre	80	true
8.0ms	256×	body	80	valid

simplify46.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite95.0ms

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` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

94.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify627.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
2	727
1	165
0	52

prune140.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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

Counts

2 → 33

Calls

2 calls:

16.0ms	(* (+ b c) a)
13.0ms	(+ (* (+ b c) a) (* d a))

series74.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (+ b c) a)
50.0ms	(+ (* (+ b c) a) (* d a))

simplify916.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5002
2	976
1	198
0	69

prune214.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

26.0ms	(sqrt (+ (+ b c) d))
24.0ms	(sqrt (+ (+ b c) d))
61.0ms	(* (sqrt (+ (+ b c) d)) a)
162.0ms	(* (* (sqrt (+ (+ b c) d)) a) (sqrt (+ (+ b c) d)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (+ (+ b c) d))
77.0ms	(sqrt (+ (+ b c) d))
119.0ms	(* (sqrt (+ (+ b c) d)) a)
66.0ms	(* (* (sqrt (+ (+ b c) d)) a) (sqrt (+ (+ b c) d)))

simplify870.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1715
1	348
0	136

prune597.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* a (* (+ b c) (- b c))) (- b c)) (* d a))
0.4b	(* a (* (+ b c) (- b c)))
13.7b	(/ (* a (* (+ b c) (- b c))) (- b c))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
17×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`distribute-rgt-in` `frac-times` `pow1` `distribute-lft-in` `associate-/l/`
7×	`flip3-+` `flip3--` `flip-+` `flip--`
6×	`prod-exp` `add-cube-cbrt` `cbrt-unprod`
5×	`associate-/r*` `times-frac` `add-log-exp`
4×	`sub-neg` `associate-*l/`
3×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-r` `-commutative` `div-inv` `associate-/l`

Counts

3 → 82

Calls

3 calls:

103.0ms	(+ (/ (* a (* (+ b c) (- b c))) (- b c)) (* d a))
47.0ms	(* a (* (+ b c) (- b c)))
63.0ms	(/ (* a (* (+ b c) (- b c))) (- b c))

series210.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (/ (* a (* (+ b c) (- b c))) (- b c)) (* d a))
107.0ms	(* a (* (+ b c) (- b c)))
51.0ms	(/ (* a (* (+ b c) (- b c))) (- b c))

simplify1.6s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	3759
1	524
0	162

prune497.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes521.0ms

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	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

371.0ms	8000×	pre	80	true
357.0ms	8000×	body	80	valid