Details

sample46.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	22	15
2	48	15
3	101	15
4	188	15
5	346	15
6	579	15
7	875	15
8	2271	15
done	5000	15

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
18.4b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r*` `flip--`
2×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`+-commutative` `frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

18.0ms	(+ (* x x) (* y y))
70.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* x x) (* y y))
92.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.1s

Counts

48 → 48

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	91	826
1	303	802
2	1443	662
done	5000	655

prune201.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (pow y 2))
18.4b	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r*` `flip--`
2×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`+-commutative` `frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

16.0ms	(+ (* x x) (pow y 2))
77.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x x) (pow y 2))
93.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))

simplify1.1s

Counts

48 → 48

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	91	826
1	296	794
2	1358	666
done	5001	661

prune224.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (pow y 2))
0.0b	(/ 1 (/ (+ (* x x) (pow y 2)) (* (- x y) (+ x y))))
18.4b	(/ (+ (* x x) (pow y 2)) (* (- x y) (+ x y)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
41×	`associate-/r/`
29×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`frac-times`
17×	`flip3-+` `add-cbrt-cube` `flip-+`
16×	`associate-/r*`
15×	`flip3--` `flip--`
14×	`div-exp`
10×	`associate-r/` `associate-l/`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `prod-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

3 → 130

Calls

3 calls:

13.0ms	(+ (* x x) (pow y 2))
90.0ms	(/ 1 (/ (+ (* x x) (pow y 2)) (* (- x y) (+ x y))))
68.0ms	(/ (+ (* x x) (pow y 2)) (* (- x y) (+ x y)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x x) (pow y 2))
112.0ms	(/ 1 (/ (+ (* x x) (pow y 2)) (* (- x y) (+ x y))))
122.0ms	(/ (+ (* x x) (pow y 2)) (* (- x y) (+ x y)))

simplify1.8s

Counts

139 → 139

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	221	3376
1	580	3134
2	2280	2796
done	5000	2759

prune388.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2))))
18.4b	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))
18.4b	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))
18.4b	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-/l/`
19×	`add-exp-log` `add-cbrt-cube`
13×	`flip3-+` `flip-+`
12×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`cbrt-prod` `flip3--` `associate-/r*` `flip--`
8×	`associate-/r/`
6×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

37.0ms	(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2))))
69.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))
70.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))
49.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2))))
106.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))
117.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))
91.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (pow y 2)))

simplify1.0s

Counts

123 → 123

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	110	2452
1	315	2370
2	1383	2030
done	5000	2014

prune724.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

Details

sample46.0ms

simplify4.4s

prune6.0ms

localize10.0ms

rewrite90.0ms

series149.0ms

simplify1.1s

prune201.0ms

localize26.0ms

rewrite95.0ms

series124.0ms

simplify1.1s

prune224.0ms

localize21.0ms

rewrite177.0ms

series264.0ms

simplify1.8s

prune388.0ms

localize26.0ms

rewrite232.0ms

series594.0ms

simplify1.0s

prune724.0ms

regimes80.0ms

bsearch1.0ms