Details

sample601.0ms

Algorithm: halfpoints

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	948
5	233
4	120
3	84
2	48
1	30
0	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (cos y) 2) (exp x))
0.0b	(/ (/ (cos y) 2) (exp x))
0.0b	(+ (* (/ (cos y) 2) (exp x)) (/ (/ (cos y) 2) (exp x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
58×	`add-sqr-sqrt`
53×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `associate-l` `associate-/l*`
9×	`add-exp-log`
7×	`div-inv`
5×	`pow1` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/r` `associate-r*` `insert-posit16`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

3 → 118

Calls

3 calls:

13.0ms	(* (/ (cos y) 2) (exp x))
12.0ms	(/ (/ (cos y) 2) (exp x))
18.0ms	(+ (* (/ (cos y) 2) (exp x)) (/ (/ (cos y) 2) (exp x)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* (/ (cos y) 2) (exp x))
41.0ms	(/ (/ (cos y) 2) (exp x))
97.0ms	(+ (* (/ (cos y) 2) (exp x)) (/ (/ (cos y) 2) (exp x)))

simplify1.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	2551
1	576
0	224

prune497.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp x) (/ (cos y) 2))
0.0b	(/ (/ (cos y) 2) (exp x))
0.0b	(+ (* (exp x) (/ (cos y) 2)) (/ (/ (cos y) 2) (exp x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
58×	`add-sqr-sqrt`
53×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `associate-r` `associate-/l*`
9×	`add-exp-log`
6×	`div-inv`
5×	`pow1` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/r` `associate-l*` `insert-posit16`
2×	`prod-exp` `associate-*r/` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `associate-/l/`

Counts

3 → 117

Calls

3 calls:

12.0ms	(* (exp x) (/ (cos y) 2))
12.0ms	(/ (/ (cos y) 2) (exp x))
17.0ms	(+ (* (exp x) (/ (cos y) 2)) (/ (/ (cos y) 2) (exp x)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (exp x) (/ (cos y) 2))
39.0ms	(/ (/ (cos y) 2) (exp x))
95.0ms	(+ (* (exp x) (/ (cos y) 2)) (/ (/ (cos y) 2) (exp x)))

simplify1.2s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	3235
1	591
0	223

prune553.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (/ (cos y) 2) (sqrt (exp x))) (sqrt (exp x)))
0.0b	(* (exp x) (/ (cos y) 2))
0.0b	(+ (* (exp x) (/ (cos y) 2)) (/ (/ (/ (cos y) 2) (sqrt (exp x))) (sqrt (exp x))))
0.0b	(/ (/ (cos y) 2) (sqrt (exp x)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

1567×	`times-frac`
743×	`add-sqr-sqrt`
738×	`*-un-lft-identity` `add-cube-cbrt`
564×	`sqrt-prod`
95×	`associate-/l*`
59×	`div-inv`
23×	`add-cbrt-cube`
21×	`add-exp-log`
13×	`associate-r`
12×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp`
4×	`insert-posit16`
3×	`associate-l`
2×	`clear-num` `frac-2neg` `prod-exp` `associate-*r/` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `frac-add` `*-commutative` `flip-+`

Counts

4 → 757

Calls

4 calls:

21.0ms	(/ (/ (/ (cos y) 2) (sqrt (exp x))) (sqrt (exp x)))
13.0ms	(* (exp x) (/ (cos y) 2))
41.0ms	(+ (* (exp x) (/ (cos y) 2)) (/ (/ (/ (cos y) 2) (sqrt (exp x))) (sqrt (exp x))))
18.0ms	(/ (/ (cos y) 2) (sqrt (exp x)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (/ (/ (cos y) 2) (sqrt (exp x))) (sqrt (exp x)))
44.0ms	(* (exp x) (/ (cos y) 2))
91.0ms	(+ (* (exp x) (/ (cos y) 2)) (/ (/ (/ (cos y) 2) (sqrt (exp x))) (sqrt (exp x))))
61.0ms	(/ (/ (cos y) 2) (sqrt (exp x)))

simplify1.6s

Counts

769 → 769

Iterations

Iter	Nodes
done	5000
1	2056
0	880

prune2.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (* (exp x) (cos y)) (sqrt (exp x))) (* 2 (/ (/ (cos y) 2) (sqrt (exp x))))) (* 2 (sqrt (exp x))))
0.0b	(+ (* (* (exp x) (cos y)) (sqrt (exp x))) (* 2 (/ (/ (cos y) 2) (sqrt (exp x)))))
0.0b	(/ (/ (cos y) 2) (sqrt (exp x)))
0.0b	(* (* (exp x) (cos y)) (sqrt (exp x)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
45×	`sqrt-prod`
19×	`add-cbrt-cube`
18×	`add-exp-log`
16×	`associate-/l*`
9×	`pow1` `div-inv`
7×	`associate-/r*`
6×	`associate-r` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`pow-prod-down` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log` `associate-l` `*-commutative`

Counts

4 → 171

Calls

4 calls:

91.0ms	(/ (+ (* (* (exp x) (cos y)) (sqrt (exp x))) (* 2 (/ (/ (cos y) 2) (sqrt (exp x))))) (* 2 (sqrt (exp x))))
32.0ms	(+ (* (* (exp x) (cos y)) (sqrt (exp x))) (* 2 (/ (/ (cos y) 2) (sqrt (exp x)))))
12.0ms	(/ (/ (cos y) 2) (sqrt (exp x)))
37.0ms	(* (* (exp x) (cos y)) (sqrt (exp x)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(/ (+ (* (* (exp x) (cos y)) (sqrt (exp x))) (* 2 (/ (/ (cos y) 2) (sqrt (exp x))))) (* 2 (sqrt (exp x))))
137.0ms	(+ (* (* (exp x) (cos y)) (sqrt (exp x))) (* 2 (/ (/ (cos y) 2) (sqrt (exp x)))))
68.0ms	(/ (/ (cos y) 2) (sqrt (exp x)))
63.0ms	(* (* (exp x) (cos y)) (sqrt (exp x)))

simplify1.7s

Counts

183 → 183

Iterations

Iter	Nodes
done	5002
2	3637
1	795
0	312

prune911.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample5.5s

Algorithm: halfpoints