Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

331×

body

valid

simplify164.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	28	7
4	39	7
5	44	7
6	49	7
7	58	7
8	75	7
9	91	7
10	102	7
11	104	7
12	108	7
13	109	7
done	109	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

50.0ms	(+ x (/ (- y x) z))
40.0ms	(/ (- y x) z)

series81.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (/ (- y x) z))
54.0ms	(/ (- y x) z)

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	98	616
1	231	570
2	617	546
3	2187	546
done	5000	546

prune227.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

487×	`times-frac`
389×	`*-un-lft-identity`
388×	`add-sqr-sqrt`
376×	`add-cube-cbrt`
338×	`prod-diff`
171×	`associate-+r+`
55×	`div-inv`
13×	`fma-neg`
9×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 398

Calls

2 calls:

109.0ms	(+ x (- (/ y z) (/ x z)))
59.0ms	(- (/ y z) (/ x z))

series73.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (- (/ y z) (/ x z)))
35.0ms	(- (/ y z) (/ x z))

simplify2.8s

Counts

404 → 404

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	503	12252
1	1051	10829
2	2176	8274
done	5000	6448

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ z (- y x))))
0.0b	(/ z (- y x))
0.4b	(/ 1 (/ z (- y x)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
107×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

3 → 167

Calls

3 calls:

51.0ms	(+ x (/ 1 (/ z (- y x))))
25.0ms	(/ z (- y x))
36.0ms	(/ 1 (/ z (- y x)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (/ 1 (/ z (- y x))))
37.0ms	(/ z (- y x))
43.0ms	(/ 1 (/ z (- y x)))

simplify2.8s

Counts

176 → 176

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	230	2358
1	493	1987
2	1066	1752
3	3339	1700
done	5000	1700

prune403.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (- (/ y z) (/ x z)) 3)))
0.0b	(- (/ y z) (/ x z))
0.3b	(pow (- (/ y z) (/ x z)) 3)
33.1b	(cbrt (pow (- (/ y z) (/ x z)) 3))

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

293×	`times-frac`
270×	`add-sqr-sqrt`
252×	`*-un-lft-identity`
210×	`add-cube-cbrt`
169×	`prod-diff`
37×	`div-inv`
30×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
20×	`distribute-lft-out--` `difference-of-squares`
13×	`fma-neg`
8×	`cube-div` `add-log-exp`
5×	`pow1` `add-exp-log` `distribute-rgt-out--` `add-cbrt-cube`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u`
3×	`pow-unpow` `flip3--` `fma-def` `frac-sub` `flip--` `sub-div`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `pow1/3` `diff-log` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 316

Calls

4 calls:

200.0ms	(+ x (cbrt (pow (- (/ y z) (/ x z)) 3)))
53.0ms	(- (/ y z) (/ x z))
82.0ms	(pow (- (/ y z) (/ x z)) 3)
88.0ms	(cbrt (pow (- (/ y z) (/ x z)) 3))

series213.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (cbrt (pow (- (/ y z) (/ x z)) 3)))
48.0ms	(- (/ y z) (/ x z))
90.0ms	(pow (- (/ y z) (/ x z)) 3)
38.0ms	(cbrt (pow (- (/ y z) (/ x z)) 3))

simplify3.0s

Counts

328 → 328

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	434	9944
1	1027	8544
2	2753	6524
done	5000	4629

prune591.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample964.0ms

Algorithm

intervals

Results

446.0ms

10155×

body

valid