Details

sample47.0ms

Algorithm

intervals

Results

20.0ms	300×	body	80	valid
2.0ms	7×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify7.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	51	12
3	172	12
4	477	12
5	1152	12
6	2708	12
done	5000	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 186

Calls

3 calls:

27.0ms	(- (/ 2.0 3.0) z)
96.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series190.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (/ 2.0 3.0) z)
55.0ms	(* 6.0 (- (/ 2.0 3.0) z))
101.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.7s

Counts

195 → 195

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	257	4364
1	455	3245
2	930	2739
3	3028	2292
done	5000	1959

prune475.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.1b	(fma (- y x) (- 4.0 (* 6.0 z)) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 30

Calls

2 calls:

13.0ms	(- 4.0 (* 6.0 z))
1.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

series149.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- 4.0 (* 6.0 z))
87.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify2.7s

Counts

36 → 36

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	64	389
1	145	380
2	363	335
3	1119	327
4	3556	309
done	5000	309

prune136.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

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-exp-log` `add-cbrt-cube`
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` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

48.0ms	(- (/ 2.0 3.0) z)
53.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
37.0ms	(* (- y x) 6.0)
87.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series252.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (/ 2.0 3.0) z)
111.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
38.0ms	(* (- y x) 6.0)
67.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.6s

Counts

316 → 316

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	400	7667
1	922	6190
2	2975	5410
done	5002	4990

prune808.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`times-frac`
12×	`sqrt-prod`
10×	`add-exp-log` `associate-l` `add-cbrt-cube`
8×	`pow1`
6×	`associate-r` `associate-/r*`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 99

Calls

4 calls:

39.0ms	(* (- y x) 6.0)
33.0ms	(* (- y x) 6.0)
0.0ms	(fma (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (* (- y x) 6.0) x)
7.0ms	(/ 2.0 (sqrt 3.0))

series411.0ms

Counts

4 → 10

Calls

4 calls:

42.0ms	(* (- y x) 6.0)
40.0ms	(* (- y x) 6.0)
329.0ms	(fma (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (* (- y x) 6.0) x)
0.0ms	(/ 2.0 (sqrt 3.0))

simplify2.4s

Counts

109 → 109

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	152	1093
1	291	963
2	772	886
3	2553	875
done	5001	870

prune536.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

Details

sample47.0ms

simplify7.3s

prune7.0ms

localize12.0ms

rewrite145.0ms

series190.0ms

simplify2.7s

prune475.0ms

localize19.0ms

rewrite15.0ms

series149.0ms

simplify2.7s

prune136.0ms

localize11.0ms

rewrite268.0ms

series252.0ms

simplify2.6s

prune808.0ms

localize31.0ms

rewrite82.0ms

series411.0ms

simplify2.4s

prune536.0ms

regimes4.0ms