Details

sample44.0ms

Algorithm

intervals

Results

24.0ms

322×

body

valid

simplify6.8s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.2s)

Iter	Nodes	Cost
0	12	13
1	22	13
2	50	12
3	122	11
4	273	11
5	487	11
6	738	11
7	1068	10
8	1691	10
9	3608	10
done	5000	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.25 (/ (- x z) y))
0.0b	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)
0.0b	(/ (- x z) y)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

21.0ms	(+ 0.25 (/ (- x z) y))
0.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)
38.0ms	(/ (- x z) y)

series101.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ 0.25 (/ (- x z) y))
41.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)
42.0ms	(/ (- x z) y)

simplify1.3s

Counts

77 → 77

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	119	796
1	268	753
2	688	703
3	2288	694
done	5000	691

prune215.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x z) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

21.0ms

(/ (- x z) y)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(/ (- x z) y)

simplify2.5s

Counts

43 → 43

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	75	416
1	160	394
2	375	374
3	1000	374
4	2603	373
done	5001	373

prune164.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (/ x y) (/ z y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
204×	`add-sqr-sqrt`
200×	`*-un-lft-identity`
192×	`add-cube-cbrt`
169×	`prod-diff`
29×	`div-inv`
13×	`fma-neg`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u` `sub-div`

Counts

1 → 207

Calls

1 calls:

47.0ms

(- (/ x y) (/ z y))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(- (/ x y) (/ z y))

simplify3.7s

Counts

210 → 210

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	310	7884
1	683	6890
2	1472	4963
3	4558	3552
done	5000	3552

prune291.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

10138×

body

valid