Details

sample64.0ms

Algorithm

intervals

Results

21.0ms	256×	pre	80	true
11.0ms	256×	body	80	valid

simplify61.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite113.0ms

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:

111.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify673.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
2	727
1	165
0	52

prune144.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

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

rewrite372.0ms

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:

27.0ms	(sqrt (+ (+ b c) d))
41.0ms	(sqrt (+ (+ b c) d))
119.0ms	(* (sqrt (+ (+ b c) d)) a)
180.0ms	(* (* (sqrt (+ (+ b c) d)) a) (sqrt (+ (+ b c) d)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (+ (+ b c) d))
80.0ms	(sqrt (+ (+ b c) d))
162.0ms	(* (sqrt (+ (+ b c) d)) a)
98.0ms	(* (* (sqrt (+ (+ b c) d)) a) (sqrt (+ (+ b c) d)))

simplify875.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1715
1	348
0	136

prune558.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.5b	(* a (- (* (+ b c) (+ b c)) (* d d)))
7.6b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`associate-/r` `flip3-+` `times-frac` `swap-sqr` `associate--l+` `associate-r/` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

17.0ms	(- (* (+ b c) (+ b c)) (* d d))
40.0ms	(* (+ b c) (+ b c))
100.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
115.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series482.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (* (+ b c) (+ b c)) (* d d))
23.0ms	(* (+ b c) (+ b c))
200.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
173.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify2.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	4331
1	606
0	185

prune616.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* d (- d (+ c b))) (* (+ c b) (+ b c)))
0.0b	(* d (- d (+ c b)))
0.6b	(* (+ (pow d 3) (pow (+ c b) 3)) a)
18.0b	(/ (* (+ (pow d 3) (pow (+ c b) 3)) a) (+ (* d (- d (+ c b))) (* (+ c b) (+ b c))))

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*r/`
37×	`*-un-lft-identity`
32×	`frac-add`
28×	`flip3-+` `flip-+`
18×	`associate-/r/`
17×	`flip3--` `flip--`
16×	`add-sqr-sqrt` `frac-times` `associate-l`
14×	`distribute-lft-out`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-*l/`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-+l+` `sub-neg`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `associate-+r+` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `sum-cubes` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

39.0ms	(+ (* d (- d (+ c b))) (* (+ c b) (+ b c)))
86.0ms	(* d (- d (+ c b)))
205.0ms	(* (+ (pow d 3) (pow (+ c b) 3)) a)
108.0ms	(/ (* (+ (pow d 3) (pow (+ c b) 3)) a) (+ (* d (- d (+ c b))) (* (+ c b) (+ b c))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(+ (* d (- d (+ c b))) (* (+ c b) (+ b c)))
32.0ms	(* d (- d (+ c b)))
247.0ms	(* (+ (pow d 3) (pow (+ c b) 3)) a)
248.0ms	(/ (* (+ (pow d 3) (pow (+ c b) 3)) a) (+ (* d (- d (+ c b))) (* (+ c b) (+ b c))))

simplify483.0ms

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
1	917
0	285

prune1.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes609.0ms

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

376.0ms	8000×	pre	80	true
363.0ms	8000×	body	80	valid