Details

sample64.0ms

Algorithm

intervals

Results

14.0ms	216×	body	80	valid
11.0ms	20×	body	1280	valid
9.0ms	26×	body	640	valid
5.0ms	95×	body	80	nan
2.0ms	11×	body	320	valid
1.0ms	8×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1983
5	483
4	150
3	54
2	27
1	18
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y z))
0.0b	(/ (pow (/ y (+ y z)) y) y)
0.0b	(+ x (/ (pow (/ y (+ y z)) y) y))
5.6b	(pow (/ y (+ y z)) y)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`*-un-lft-identity`
90×	`unpow-prod-down`
81×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
20×	`distribute-lft-out`
17×	`add-exp-log`
12×	`associate-/r/`
8×	`add-cbrt-cube`
7×	`associate-/r*` `flip3-+` `div-exp` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`pow-exp`
3×	`pow-unpow`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `pow-pow`

Counts

4 → 184

Calls

4 calls:

9.0ms	(/ y (+ y z))
45.0ms	(/ (pow (/ y (+ y z)) y) y)
76.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
14.0ms	(pow (/ y (+ y z)) y)

series825.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ y (+ y z))
244.0ms	(/ (pow (/ y (+ y z)) y) y)
119.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
383.0ms	(pow (/ y (+ y z)) y)

simplify1.5s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
2	3055
1	718
0	299

prune992.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

17.0ms	(/ (exp (- z)) y)
18.0ms	(+ x (/ (exp (- z)) y))

series62.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (exp (- z)) y)
29.0ms	(+ x (/ (exp (- z)) y))

simplify623.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	747
1	192
0	85

prune228.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (/ (pow (/ y (+ y z)) y) y) 3)))
0.2b	(pow (/ (pow (/ y (+ y z)) y) y) 3)
5.6b	(pow (/ y (+ y z)) y)
38.1b	(cbrt (pow (/ (pow (/ y (+ y z)) y) y) 3))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

420×	`times-frac`
374×	`unpow-prod-down`
295×	`*-un-lft-identity`
215×	`add-sqr-sqrt` `add-cube-cbrt`
146×	`cbrt-prod`
140×	`cube-prod`
40×	`distribute-lft-out`
26×	`associate-/r/`
17×	`div-inv`
16×	`add-exp-log`
15×	`sqr-pow`
14×	`flip3-+` `flip-+`
9×	`pow-exp`
7×	`add-cbrt-cube`
6×	`pow1` `pow-unpow` `div-exp` `add-log-exp`
3×	`pow-to-exp`
2×	`cube-div` `cube-mult` `pow-pow` `unpow3` `rem-cube-cbrt`
1×	`cbrt-undiv` `+-commutative` `cbrt-div` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 364

Calls

4 calls:

190.0ms	(+ x (cbrt (pow (/ (pow (/ y (+ y z)) y) y) 3)))
60.0ms	(pow (/ (pow (/ y (+ y z)) y) y) 3)
11.0ms	(pow (/ y (+ y z)) y)
50.0ms	(cbrt (pow (/ (pow (/ y (+ y z)) y) y) 3))

series1.3s

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ x (cbrt (pow (/ (pow (/ y (+ y z)) y) y) 3)))
567.0ms	(pow (/ (pow (/ y (+ y z)) y) y) 3)
408.0ms	(pow (/ y (+ y z)) y)
245.0ms	(cbrt (pow (/ (pow (/ y (+ y z)) y) y) 3))

simplify1.0s

Counts

376 → 376

Iterations

Iter	Nodes
done	5004
1	2059
0	539

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (pow (/ y (+ z y)) y) y))
5.6b	(pow (/ y (+ z y)) y)
5.6b	(pow (/ y (+ z y)) y)
28.4b	(cbrt (pow (/ (pow (/ y (+ z y)) y) y) (+ 1 1)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

228×	`times-frac`
214×	`unpow-prod-down`
171×	`*-un-lft-identity`
145×	`cbrt-prod`
123×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`distribute-lft-out`
16×	`associate-/r/`
10×	`add-exp-log` `div-inv`
9×	`sqr-pow`
8×	`flip3-+` `flip-+`
6×	`pow1` `pow-unpow`
4×	`add-cbrt-cube` `pow-exp` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `div-exp`
1×	`unpow-prod-up` `cbrt-div`

Counts

4 → 228

Calls

4 calls:

22.0ms	(cbrt (/ (pow (/ y (+ z y)) y) y))
14.0ms	(pow (/ y (+ z y)) y)
18.0ms	(pow (/ y (+ z y)) y)
32.0ms	(cbrt (pow (/ (pow (/ y (+ z y)) y) y) (+ 1 1)))

series2.1s

Counts

4 → 12

Calls

4 calls:

546.0ms	(cbrt (/ (pow (/ y (+ z y)) y) y))
340.0ms	(pow (/ y (+ z y)) y)
351.0ms	(pow (/ y (+ z y)) y)
847.0ms	(cbrt (pow (/ (pow (/ y (+ z y)) y) y) (+ 1 1)))

simplify3.3s

Counts

240 → 240

Iterations

Iter	Nodes
done	5002
2	4667
1	1329
0	641

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes355.0ms

bsearch111.0ms

Steps

Iters	Range		Point
9	-7603.3194443498605	-0.10952899301968014	-13.502387163943867