Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
9.0ms	256×	body	80	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	64
4	64
3	61
2	38
1	18
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

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:

53.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify1.0s

Counts

27 → 27

Iterations

Iter	Nodes
3	3146
2	555
1	146
0	52

prune251.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:

19.0ms	(+ (* a (+ b c)) (* a d))
13.0ms	(* a (+ b c))

series88.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* a (+ b c)) (* a d))
44.0ms	(* a (+ b c))

simplify1.2s

Counts

43 → 43

Iterations

Iter	Nodes
3	3470
2	737
1	211
0	72

prune415.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
30×	`add-sqr-sqrt`
29×	`sqrt-prod`
28×	`*-un-lft-identity`
21×	`sqrt-pow1` `pow1/2`
20×	`add-cbrt-cube` `add-exp-log`
18×	`sqrt-div` `associate-*r/`
17×	`associate-r`
13×	`associate-l` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `associate-*l/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `swap-sqr`

Counts

4 → 137

Calls

4 calls:

22.0ms	(sqrt (+ (+ b c) d))
53.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
56.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
124.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series620.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (+ (+ b c) d))
207.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
237.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
92.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify3.1s

Counts

149 → 149

Iterations

Iter	Nodes
3	5549
2	1346
1	429
0	161

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ c b) (+ c b)) (* d d))
0.0b	(* (+ c b) (+ c b))
0.8b	(* a (- (* (+ c b) (+ c b)) (* d d)))
5.5b	(/ (* a (- (* (+ c b) (+ c b)) (* d d))) (+ (- b d) c))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
10×	`distribute-lft-out`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`flip3-+` `associate-l` `flip-+`
6×	`swap-sqr` `associate--l+` `associate-*r/` `add-log-exp`
5×	`associate-/r*` `times-frac`
4×	`frac-times`
3×	`sub-neg` `flip3--` `prod-exp` `cbrt-unprod` `flip--`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `distribute-lft-out--` `difference-of-squares` `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 → 113

Calls

4 calls:

26.0ms	(- (* (+ c b) (+ c b)) (* d d))
38.0ms	(* (+ c b) (+ c b))
53.0ms	(* a (- (* (+ c b) (+ c b)) (* d d)))
59.0ms	(/ (* a (- (* (+ c b) (+ c b)) (* d d))) (+ (- b d) c))

series406.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* (+ c b) (+ c b)) (* d d))
18.0ms	(* (+ c b) (+ c b))
158.0ms	(* a (- (* (+ c b) (+ c b)) (* d d)))
155.0ms	(/ (* a (- (* (+ c b) (+ c b)) (* d d))) (+ (- b d) c))

simplify593.0ms

Counts

125 → 125

Iterations

Iter	Nodes
2	2240
1	561
0	182

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	19
1	19
0	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

774.0ms	8000×	body	80	valid
569.0ms	8000×	pre	80	true