Details

sample66.0ms

Algorithm

intervals

Results

48.0ms

336×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
7	2677
6	749
5	324
4	209
3	105
2	49
1	25
0	14

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.7b

localize30.0ms

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)))
11.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`fma-def` `add-cbrt-cube` `add-exp-log`
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` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `div-exp` `associate-*r/` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `flip3--` `associate-l` `frac-add` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 102

Calls

3 calls:

35.0ms	(* (* z 2.0) (- 1.0 t))
31.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
41.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series211.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (* z 2.0) (- 1.0 t))
63.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
75.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	2155
1	586
0	196

prune504.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 t) 2.0)
0.0b	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
0.0b	(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
0.2b	(/ (/ 2.0 t) z)

rewrite467.0ms

Algorithm

rewrite-expression-head

Rules

214×	`times-frac`
179×	`*-un-lft-identity`
168×	`add-sqr-sqrt`
163×	`add-cube-cbrt`
78×	`prod-diff`
56×	`fma-def`
42×	`associate-+r+`
20×	`add-log-exp`
17×	`div-inv`
13×	`fma-neg` `associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-add`
7×	`sum-log` `distribute-lft-out`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-+r-` `associate-/r*` `flip3-+` `flip3--` `diff-log` `div-exp` `flip-+` `flip--` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `difference-of-squares`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 285

Calls

4 calls:

16.0ms	(- (/ 2.0 t) 2.0)
322.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
112.0ms	(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
10.0ms	(/ (/ 2.0 t) z)

series193.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (/ 2.0 t) 2.0)
35.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
81.0ms	(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
34.0ms	(/ (/ 2.0 t) z)

simplify2.0s

Counts

297 → 297

Iterations

Iter	Nodes
done	5004
2	3149
1	908
0	355

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 t) 2.0)
0.0b	(+ (/ x y) (fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0)))
0.1b	(fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
51×	`add-cube-cbrt`
46×	`times-frac`
39×	`prod-diff`
13×	`fma-def` `fma-neg`
7×	`add-log-exp`
5×	`div-inv`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`fma-udef` `difference-of-squares`
1×	`+-commutative` `associate-+r+` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 110

Calls

3 calls:

20.0ms	(- (/ 2.0 t) 2.0)
14.0ms	(+ (/ x y) (fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0)))
0.0ms	(fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0))

series196.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (/ 2.0 t) 2.0)
92.0ms	(+ (/ x y) (fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0)))
49.0ms	(fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0))

simplify2.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
3	4135
2	943
1	373
0	160

prune548.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (fma (/ (/ (sqrt 2.0) 1) 1) (/ (/ (sqrt 2.0) t) z) (- (/ 2.0 t) 2.0)))
0.1b	(fma (/ (/ (sqrt 2.0) 1) 1) (/ (/ (sqrt 2.0) t) z) (- (/ 2.0 t) 2.0))
0.2b	(/ (/ (sqrt 2.0) t) z)
0.4b	(/ (sqrt 2.0) t)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
103×	`*-un-lft-identity`
101×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`sqrt-prod`
28×	`associate-/l*`
13×	`fma-def`
11×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv`
6×	`associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`+-commutative` `associate-+r+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

4 → 191

Calls

4 calls:

15.0ms	(+ (/ x y) (fma (/ (/ (sqrt 2.0) 1) 1) (/ (/ (sqrt 2.0) t) z) (- (/ 2.0 t) 2.0)))
0.0ms	(fma (/ (/ (sqrt 2.0) 1) 1) (/ (/ (sqrt 2.0) t) z) (- (/ 2.0 t) 2.0))
13.0ms	(/ (/ (sqrt 2.0) t) z)
8.0ms	(/ (sqrt 2.0) t)

series426.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(+ (/ x y) (fma (/ (/ (sqrt 2.0) 1) 1) (/ (/ (sqrt 2.0) t) z) (- (/ 2.0 t) 2.0)))
100.0ms	(fma (/ (/ (sqrt 2.0) 1) 1) (/ (/ (sqrt 2.0) t) z) (- (/ 2.0 t) 2.0))
66.0ms	(/ (/ (sqrt 2.0) t) z)
78.0ms	(/ (sqrt 2.0) t)

simplify1.4s

Counts

203 → 203

Iterations

Iter	Nodes
done	5001
2	1534
1	568
0	262

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes273.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.7s

10488×

body

valid