Details

sample25.0ms

Algorithm

intervals

Results

15.0ms

319×

body

valid

simplify143.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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:

37.0ms	(+ x (/ (- y x) z))
28.0ms	(/ (- y x) z)

series108.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (/ (- y x) z))
68.0ms	(/ (- y x) z)

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: 2 (179.0ms)

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

prune246.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite228.0ms

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:

114.0ms	(+ x (- (/ y z) (/ x z)))
59.0ms	(- (/ y z) (/ x z))

series70.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (- (/ y z) (/ x z)))
26.0ms	(- (/ y z) (/ x z))

simplify2.5s

Counts

404 → 404

Iterations

Useful iterations: done (2.5s)

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

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- y x))
0.0b	(+ x (/ 1 (/ z (- y x))))
0.3b	(/ 1 (/ z (- y x)))

rewrite104.0ms

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:

11.0ms	(/ z (- y x))
68.0ms	(+ x (/ 1 (/ z (- y x))))
18.0ms	(/ 1 (/ z (- y x)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ z (- y x))
23.0ms	(+ x (/ 1 (/ z (- y x))))
43.0ms	(/ 1 (/ z (- y x)))

simplify2.4s

Counts

176 → 176

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	230	2358
1	493	1987
2	1064	1752
3	3338	1700
done	5000	1700

prune402.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y x) z)
0.2b	(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
2.1b	(sqrt (/ (- y x) z))
2.1b	(sqrt (/ (- y x) z))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-sqr-sqrt`
140×	`sqrt-prod`
138×	`*-un-lft-identity`
125×	`times-frac`
76×	`add-cube-cbrt`
30×	`swap-sqr`
28×	`distribute-lft-out--`
22×	`associate-r` `associate-l` `difference-of-squares`
21×	`pow1`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up` `associate-/l*`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/r*` `pow-sqr`
2×	`associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 219

Calls

4 calls:

20.0ms	(/ (- y x) z)
117.0ms	(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
27.0ms	(sqrt (/ (- y x) z))
19.0ms	(sqrt (/ (- y x) z))

series363.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (- y x) z)
121.0ms	(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
84.0ms	(sqrt (/ (- y x) z))
124.0ms	(sqrt (/ (- y x) z))

simplify2.8s

Counts

231 → 231

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	217	3456
1	389	2493
2	1195	2366
3	3886	2320
done	5001	2292

prune755.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes62.0ms

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

sample773.0ms

Algorithm

intervals

Results

449.0ms

10083×

body

valid