Details

sample38.0ms

Algorithm

intervals

Results

20.0ms

336×

body

valid

simplify1.2s

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: 10.9b

localize23.0ms

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))

rewrite106.0ms

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:

33.0ms	(* (* 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))

series208.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (* z 2.0) (- 1.0 t))
66.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
90.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.5s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1666
1	424
0	142

prune319.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t))
0.0b	(+ (/ x y) (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
0.9b	(/ 2.0 (* z t))

rewrite354.0ms

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:

82.0ms	(+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t))
265.0ms	(+ (/ x y) (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
6.0ms	(/ 2.0 (* z t))

series135.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t))
67.0ms	(+ (/ x y) (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
23.0ms	(/ 2.0 (* z t))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5003
2	1707
1	413
0	146

prune341.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite348.0ms

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:

74.0ms	(+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t))
254.0ms	(+ (/ x y) (+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t)))
17.0ms	(/ (/ 2.0 z) t)

series119.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t))
58.0ms	(+ (/ x y) (+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t)))
23.0ms	(/ (/ 2.0 z) t)

simplify1.5s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	2062
1	657
0	248

prune680.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (+ (- (* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t)) 2.0) (/ 2.0 t)))
0.3b	(* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t))
0.4b	(/ (sqrt 2.0) t)
0.4b	(/ (sqrt 2.0) z)

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
65×	`*-un-lft-identity`
60×	`add-cube-cbrt`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-cbrt-cube` `add-exp-log`
13×	`add-log-exp`
12×	`associate-/l*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp` `frac-add`
5×	`sum-log`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `div-inv`
3×	`distribute-lft-out`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`frac-times` `+-commutative` `associate-+r+` `associate-+r-` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-+l-` `flip--`

Counts

4 → 176

Calls

4 calls:

147.0ms	(+ (/ x y) (+ (- (* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t)) 2.0) (/ 2.0 t)))
17.0ms	(* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t))
5.0ms	(/ (sqrt 2.0) t)
5.0ms	(/ (sqrt 2.0) z)

series666.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(+ (/ x y) (+ (- (* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t)) 2.0) (/ 2.0 t)))
101.0ms	(* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t))
337.0ms	(/ (sqrt 2.0) t)
50.0ms	(/ (sqrt 2.0) z)

simplify2.2s

Counts

188 → 188

Iterations

Iter	Nodes
done	5008
2	2973
1	754
0	257

prune843.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes247.0ms

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	14
1	14
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

932.0ms

10488×

body

valid