Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

343×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (52.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	89	16
4	163	16
5	257	15
6	420	15
7	855	15
8	3146	15
done	5000	15

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- 1.0 t) 1)
0.2b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
6.7b	(/ (fma z (- 1.0 t) 1) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma z (- 1.0 t) 1)
0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
3.0ms	(/ (fma z (- 1.0 t) 1) z)

series151.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(fma z (- 1.0 t) 1)
97.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
34.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify2.2s

Counts

58 → 58

Iterations

Useful iterations: 4 (795.0ms)

Iter	Nodes	Cost
0	87	785
1	156	772
2	360	685
3	1117	684
4	4720	683
done	5000	683

prune216.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.3b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `associate-*r/` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

15.0ms	(* (* z 2.0) (- 1.0 t))
23.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series179.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (* z 2.0) (- 1.0 t))
52.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
73.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify916.0ms

Counts

108 → 108

Iterations

Useful iterations: done (906.0ms)

Iter	Nodes	Cost
0	194	1833
1	551	1594
2	1922	1324
done	5000	1306

prune298.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0)))
0.0b	(+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0))
0.3b	(/ (/ 2.0 t) z)

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

291×	`times-frac`
221×	`*-un-lft-identity`
207×	`add-sqr-sqrt` `add-cube-cbrt`
132×	`associate-+r+`
129×	`prod-diff`
26×	`fma-def`
19×	`div-inv`
17×	`add-log-exp`
13×	`associate-/l*`
8×	`add-exp-log` `frac-add` `add-cbrt-cube`
7×	`sum-log` `distribute-lft-out`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-exp` `associate-/r*` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 272

Calls

3 calls:

246.0ms	(+ (/ x y) (+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0)))
102.0ms	(+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0))
11.0ms	(/ (/ 2.0 t) z)

series126.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (/ x y) (+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0)))
42.0ms	(+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0))
24.0ms	(/ (/ 2.0 t) z)

simplify1.7s

Counts

281 → 281

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	513	5534
1	1187	4786
2	3521	4531
done	5000	4519

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2.0 t) (- (/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t))) 2.0))
0.2b	(/ z (/ (sqrt 2.0) t))
0.5b	(/ (sqrt 2.0) t)
0.9b	(/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))

rewrite3.8s

Algorithm

rewrite-expression-head

Rules

22223×	`times-frac`
10899×	`*-un-lft-identity`
10894×	`add-sqr-sqrt` `add-cube-cbrt`
5016×	`sqrt-prod`
4703×	`associate-+r+`
4701×	`prod-diff`
652×	`div-inv`
96×	`associate-/r*`
94×	`associate-/r/`
41×	`add-exp-log`
32×	`add-cbrt-cube`
31×	`associate-/l*`
28×	`div-exp`
19×	`cbrt-undiv`
13×	`fma-def`
9×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `1-exp` `clear-num`
2×	`frac-add` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 6568

Calls

4 calls:

2.5s	(+ (/ 2.0 t) (- (/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t))) 2.0))
8.0ms	(/ z (/ (sqrt 2.0) t))
3.0ms	(/ (sqrt 2.0) t)
61.0ms	(/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (/ 2.0 t) (- (/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t))) 2.0))
80.0ms	(/ z (/ (sqrt 2.0) t))
47.0ms	(/ (sqrt 2.0) t)
109.0ms	(/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))

simplify3.4s

Counts

6580 → 6580

Iterations

Useful iterations: 0 (1.2s)

Iter	Nodes	Cost
0	9401	256910
done	9401	256910

prune33.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	30
1	24	26
done	24	26

end0.0ms

sample684.0ms

Algorithm

intervals

Results

423.0ms

10423×

body

valid