Details

sample45.0ms

Algorithm

intervals

Results

26.0ms

333×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
7	1501
6	454
5	215
4	152
3	92
2	44
1	25
0	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
7.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `pow1`
6×	`add-cube-cbrt`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `pow-prod-down` `insert-posit16` `associate-/l*`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3-+` `div-exp` `associate-*r/` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `flip3--` `associate-l` `frac-add` `-commutative` `div-inv` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 65

Calls

3 calls:

30.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
27.0ms	(* (* z 2.0) (- 1.0 t))
33.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series173.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
49.0ms	(* (* z 2.0) (- 1.0 t))
70.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5002
2	1662
1	423
0	142

prune383.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite893.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
59×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-log-exp`
13×	`associate-/l*`
8×	`add-cbrt-cube` `frac-add` `add-exp-log`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `associate-/r*` `flip3-+` `div-exp` `flip-+` `insert-posit16`
2×	`+-commutative` `associate-+l+` `flip3--` `diff-log` `associate-+l-` `flip--` `distribute-lft-out--`
1×	`associate-+r+` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `associate-/l/`

Counts

3 → 114

Calls

3 calls:

240.0ms	(+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t))
637.0ms	(+ (/ x y) (+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t)))
11.0ms	(/ (/ 2.0 t) z)

series156.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t))
91.0ms	(+ (/ x y) (+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t)))
28.0ms	(/ (/ 2.0 t) z)

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	2174
1	657
0	248

prune518.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (/ 2.0 (* t z)) 2.0) (/ 2.0 t))
0.0b	(+ (/ x y) (+ (- (/ 2.0 (* t z)) 2.0) (/ 2.0 t)))
0.4b	(/ 2.0 (* t z))

rewrite472.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-log-exp`
8×	`add-cbrt-cube` `frac-add` `add-exp-log`
7×	`sum-log` `distribute-lft-out`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `flip3-+` `times-frac` `flip-+` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `associate-+l+` `flip3--` `diff-log` `div-exp` `associate-+l-` `flip--` `distribute-lft-out--`
1×	`associate-+r+` `clear-num` `associate-+r-` `associate-/r*` `sub-neg` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

3 → 65

Calls

3 calls:

107.0ms	(+ (- (/ 2.0 (* t z)) 2.0) (/ 2.0 t))
349.0ms	(+ (/ x y) (+ (- (/ 2.0 (* t z)) 2.0) (/ 2.0 t)))
14.0ms	(/ 2.0 (* t z))

series134.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (- (/ 2.0 (* t z)) 2.0) (/ 2.0 t))
70.0ms	(+ (/ x y) (+ (- (/ 2.0 (* t z)) 2.0) (/ 2.0 t)))
27.0ms	(/ 2.0 (* t z))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5004
2	1626
1	409
0	143

prune342.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (+ (- (* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z)) 2.0) (/ 2.0 t)))
0.2b	(/ (/ (sqrt 2.0) t) z)
0.4b	(* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z))
0.4b	(/ (sqrt 2.0) t)

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

286×	`times-frac`
184×	`add-sqr-sqrt`
163×	`*-un-lft-identity`
158×	`add-cube-cbrt`
84×	`sqrt-prod`
70×	`associate-r`
28×	`associate-/l*`
20×	`add-cbrt-cube` `add-exp-log`
13×	`add-log-exp`
10×	`div-inv`
8×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-/r` `associate-l*` `frac-add`
5×	`sum-log`
4×	`insert-posit16`
3×	`prod-exp` `cbrt-unprod` `distribute-lft-out`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `associate-+r+` `associate-+r-` `flip3--` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `associate-+l-` `flip--` `associate-/l/`

Counts

4 → 270

Calls

4 calls:

371.0ms	(+ (/ x y) (+ (- (* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z)) 2.0) (/ 2.0 t)))
16.0ms	(/ (/ (sqrt 2.0) t) z)
54.0ms	(* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z))
11.0ms	(/ (sqrt 2.0) t)

series429.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (/ x y) (+ (- (* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z)) 2.0) (/ 2.0 t)))
60.0ms	(/ (/ (sqrt 2.0) t) z)
105.0ms	(* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z))
78.0ms	(/ (sqrt 2.0) t)

simplify2.4s

Counts

282 → 282

Iterations

Iter	Nodes
done	5011
2	3802
1	1028
0	378

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes324.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

10461×

body

valid