Details

sample53.0ms

Algorithm

intervals

Results

22.0ms	300×	body	80	valid
3.0ms	10×	body	640	valid
2.0ms	6×	body	1280	valid
2.0ms	7×	body	320	valid
1.0ms	4×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3251
5	1293
4	501
3	166
2	50
1	21
0	12

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.4b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

17.0ms	(* (- y x) 6.0)
19.0ms	(- (/ 2.0 3.0) z)
34.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
78.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series221.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- y x) 6.0)
25.0ms	(- (/ 2.0 3.0) z)
91.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
71.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.8s

Counts

316 → 316

Iterations

Iter	Nodes
done	5002
2	3238
1	1103
0	400

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)
0.0b	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
0.2b	(fma (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
1.0b	(/ 2.0 (sqrt 3.0))

rewrite708.0ms

Algorithm

rewrite-expression-head

Rules

2438×	`times-frac`
1709×	`add-sqr-sqrt`
1663×	`*-un-lft-identity`
1659×	`add-cube-cbrt`
1224×	`prod-diff`
1222×	`sqrt-prod`
410×	`distribute-rgt-in` `distribute-lft-in`
136×	`fma-neg`
71×	`div-inv`
14×	`difference-of-squares`
11×	`associate-r`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `associate-l` `associate-/l*`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 1467

Calls

4 calls:

123.0ms	(- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)
408.0ms	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
9.0ms	(/ 2.0 (sqrt 3.0))

series807.0ms

Counts

4 → 10

Calls

4 calls:

189.0ms	(- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)
241.0ms	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
377.0ms	(fma (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
0.0ms	(/ 2.0 (sqrt 3.0))

simplify3.9s

Counts

1477 → 1477

Iterations

Iter	Nodes
done	5000
2	4478
1	2363
0	1229

prune4.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- y x))
0.0b	(* 6.0 (- y x))
0.0b	(- (/ 2.0 3.0) z)
0.4b	(fma (* 6.0 (- y x)) (- (/ 2.0 3.0) z) x)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
75×	`prod-diff`
73×	`add-cube-cbrt`
37×	`times-frac`
22×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`associate-r`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-l` `add-log-exp`
5×	`sub-neg`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `div-inv` `difference-of-squares`
3×	`flip3--` `flip--` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `fma-udef`

Counts

4 → 171

Calls

4 calls:

23.0ms	(* 6.0 (- y x))
23.0ms	(* 6.0 (- y x))
40.0ms	(- (/ 2.0 3.0) z)
1.0ms	(fma (* 6.0 (- y x)) (- (/ 2.0 3.0) z) x)

series480.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 6.0 (- y x))
41.0ms	(* 6.0 (- y x))
23.0ms	(- (/ 2.0 3.0) z)
373.0ms	(fma (* 6.0 (- y x)) (- (/ 2.0 3.0) z) x)

simplify2.4s

Counts

183 → 183

Iterations

Iter	Nodes
done	5001
3	2853
2	1017
1	498
0	236

prune967.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- y x))
0.0b	(- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)
0.4b	(fma (* 6.0 (- y x)) (+ (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (fma z -1 z)) x)
1.0b	(/ 2.0 (sqrt 3.0))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

988×	`times-frac`
689×	`add-sqr-sqrt`
665×	`*-un-lft-identity`
661×	`add-cube-cbrt`
497×	`sqrt-prod`
426×	`prod-diff`
136×	`fma-neg`
29×	`div-inv`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `associate-l` `associate-/l*`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 663

Calls

4 calls:

35.0ms	(* 6.0 (- y x))
181.0ms	(- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)
1.0ms	(fma (* 6.0 (- y x)) (+ (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (fma z -1 z)) x)
10.0ms	(/ 2.0 (sqrt 3.0))

series502.0ms

Counts

4 → 10

Calls

4 calls:

33.0ms	(* 6.0 (- y x))
122.0ms	(- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)
346.0ms	(fma (* 6.0 (- y x)) (+ (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (fma z -1 z)) x)
0.0ms	(/ 2.0 (sqrt 3.0))

simplify2.3s

Counts

673 → 673

Iterations

Iter	Nodes
done	5014
2	3469
1	1570
0	691

prune2.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes415.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

748.0ms	9465×	body	80	valid
82.0ms	155×	body	1280	valid
48.0ms	235×	body	640	valid
26.0ms	171×	body	320	valid
16.0ms	124×	body	160	valid