Details

sample53.0ms

Algorithm

intervals

Results

12.0ms	256×	pre	80	true
12.0ms	256×	body	80	valid

simplify79.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	41	7
3	75	7
4	93	7
done	93	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite127.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

125.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify2.5s

Counts

29 → 29

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	54	271
1	152	256
2	593	228
3	3461	228
done	5001	228

prune65.0ms

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))

rewrite51.0ms

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

Counts

2 → 38

Calls

2 calls:

37.0ms	(* (+ b c) a)
14.0ms	(+ (* (+ b c) a) (* d a))

series75.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (+ b c) a)
48.0ms	(+ (* (+ b c) a) (* d a))

simplify3.5s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	72	419
1	203	356
2	830	344
3	4162	328
done	5000	328

prune128.0ms

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))))

rewrite481.0ms

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

Counts

4 → 146

Calls

4 calls:

53.0ms	(sqrt (+ (+ b c) d))
103.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
79.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
239.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series662.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(sqrt (+ (+ b c) d))
247.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
269.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
60.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify1.0s

Counts

158 → 158

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	168	2375
1	433	1787
2	1465	1566
done	5001	1551

prune393.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite278.0ms

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×	`associate-l` `distribute-lft-out`
7×	`associate-r`
6×	`flip3-+` `times-frac` `swap-sqr` `associate-l/` `associate-/r` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `prod-diff` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 117

Calls

4 calls:

29.0ms	(- (* (+ b c) (+ b c)) (* d d))
48.0ms	(* (+ b c) (+ b c))
97.0ms	(* (- (* (+ b c) (+ b c)) (* d d)) a)
99.0ms	(/ (* (- (* (+ b c) (+ b c)) (* d d)) a) (- (+ b c) d))

series320.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* (+ b c) (+ b c)) (* d d))
20.0ms	(* (+ b c) (+ b c))
113.0ms	(* (- (* (+ b c) (+ b c)) (* d d)) a)
107.0ms	(/ (* (- (* (+ b c) (+ b c)) (* d d)) a) (- (+ b c) d))

simplify2.4s

Counts

129 → 129

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	185	2163
1	512	1992
2	2272	1736
done	5001	1611

prune379.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
287.0ms	8000×	pre	80	true