Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
8.0ms	256×	body	80	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	39	7
3	65	7
done	65	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `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:

124.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify2.1s

Counts

27 → 27

Iterations

Useful iterations: 3 (922.0ms)

Iter	Nodes	Cost
0	52	255
1	147	240
2	563	216
3	3281	212
done	5002	212

prune59.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

21.0ms	(* (+ b c) a)
31.0ms	(+ (* (+ b c) a) (* d a))

series75.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (+ b c) a)
44.0ms	(+ (* (+ b c) a) (* d a))

simplify3.1s

Counts

39 → 39

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	68	387
1	191	329
2	768	303
3	3716	301
done	5000	301

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

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)))
0.6b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite549.0ms

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-exp-log` `add-cbrt-cube`
18×	`sqrt-div` `associate-*r/`
17×	`associate-r`
13×	`add-cube-cbrt` `associate-l`
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` `swap-sqr` `rem-square-sqrt`

Counts

4 → 137

Calls

4 calls:

35.0ms	(sqrt (+ (+ b c) d))
110.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
105.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
293.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series690.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (+ (+ b c) d))
275.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
280.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
73.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify1.1s

Counts

149 → 149

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	162	2281
1	415	1721
2	1421	1507
done	5001	1463

prune384.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.6b	(* a (- (* (+ b c) (+ b c)) (* d d)))
6.9b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

40.0ms	(- (* (+ b c) (+ b c)) (* d d))
51.0ms	(* (+ b c) (+ b c))
116.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
119.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series486.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* (+ b c) (+ b c)) (* d d))
29.0ms	(* (+ b c) (+ b c))
207.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
174.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify1.3s

Counts

127 → 127

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	185	2175
1	510	2017
2	2003	1741
done	5001	1519

prune362.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

711.0ms	8000×	pre	80	true
252.0ms	8000×	body	80	valid