Details

sample57.0ms

Algorithm

intervals

Results

17.0ms	233×	body	80	valid
7.0ms	24×	body	640	valid
4.0ms	18×	body	320	valid
3.0ms	8×	body	1280	valid
1.0ms	8×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	11	245
1	20	245
2	43	245
3	108	220
4	299	220
5	805	220
6	1910	220
done	5000	220

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.7b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.9b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

19.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series249.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ (- y z) (- a z))
160.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (806.0ms)

Iter	Nodes	Cost
0	116	18590
1	271	17666
2	677	17586
3	2166	17536
done	5001	17536

prune571.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ y (- a z))
0.0b	(/ z (- a z))
2.9b	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

120.0ms	(- (/ y (- a z)) (/ z (- a z)))
9.0ms	(/ y (- a z))
9.0ms	(/ z (- a z))
1.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

series330.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (/ y (- a z)) (/ z (- a z)))
34.0ms	(/ y (- a z))
64.0ms	(/ z (- a z))
154.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

simplify4.5s

Counts

593 → 593

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	573	439032
1	1287	385710
2	3079	343992
done	5004	308103

prune3.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) y)
0.0b	(/ z (- a z))
0.5b	(/ 1 (/ (- a z) y))
2.9b	(fma (- (/ 1 (/ (- a z) y)) (/ z (- a z))) (- t x) x)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
120×	`add-sqr-sqrt` `*-un-lft-identity`
80×	`add-cube-cbrt`
27×	`associate-/r*`
20×	`distribute-lft-out--` `difference-of-squares`
19×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 191

Calls

4 calls:

35.0ms	(/ (- a z) y)
17.0ms	(/ z (- a z))
28.0ms	(/ 1 (/ (- a z) y))
1.0ms	(fma (- (/ 1 (/ (- a z) y)) (/ z (- a z))) (- t x) x)

series419.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- a z) y)
75.0ms	(/ z (- a z))
111.0ms	(/ 1 (/ (- a z) y))
201.0ms	(fma (- (/ 1 (/ (- a z) y)) (/ z (- a z))) (- t x) x)

simplify280.0ms

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	264	57454