Details

sample35.0ms

Algorithm

intervals

Results

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

simplify97.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	124
1	18	124
2	41	124
3	76	124
4	113	124
5	117	124
done	117	124

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
5×	`associate-r` `add-cube-cbrt`
4×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
3×	`sum-log` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

28.0ms	(+ (+ b c) d)
88.0ms	(* a (+ (+ b c) d))

series55.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ b c) d)
36.0ms	(* a (+ (+ b c) d))

simplify1.4s

Counts

53 → 53

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	70	8663
1	206	7543
2	960	7463
done	5000	7383

prune255.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

38.0ms	(* a (+ b c))
20.0ms	(+ (* a (+ b c)) (* a d))

series88.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* a (+ b c))
51.0ms	(+ (* a (+ b c)) (* a d))

simplify1.2s

Counts

48 → 48

Iterations

Useful iterations: 2 (263.0ms)

Iter	Nodes	Cost
0	76	8760
1	244	7196
2	1125	7021
done	5002	7021

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.3b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.3b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
32×	`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×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `associate-*l/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `swap-sqr` `hypot-def`

Counts

4 → 146

Calls

4 calls:

37.0ms	(sqrt (+ (+ b c) d))
75.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
110.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
185.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series624.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (+ (+ b c) d))
248.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
239.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
66.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify1.8s

Counts

158 → 158

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	167	44849
1	462	37424
2	2010	34583
done	5001	33668

prune671.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.4b	(* a (- (* (+ b c) (+ b c)) (* d d)))
6.8b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite268.0ms

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`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`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×	`expm1-log1p-u` `frac-times` `flip3--` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-diff` `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` `fma-neg` `diff-log` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 127

Calls

4 calls:

29.0ms	(- (* (+ b c) (+ b c)) (* d d))
34.0ms	(* (+ b c) (+ b c))
92.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
108.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series483.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (* (+ b c) (+ b c)) (* d d))
18.0ms	(* (+ b c) (+ b c))
207.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
157.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify2.8s

Counts

139 → 139

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	200	40501
1	636	33343
2	4605	31615
done	5000	31615

prune687.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes473.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	8	164
1	12	164
done	12	164

end0.0ms

sample1.0s

Algorithm

intervals

Results

364.0ms	8000×	body	80	valid
281.0ms	8000×	pre	80	true