Details

sample115.0ms

Algorithm: halfpoints

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	46	11
3	81	11
4	113	11
5	181	11
6	310	11
7	594	11
8	983	11
9	1584	11
10	1903	11
11	2071	11
12	2095	11
done	2095	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-r`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 47

Calls

2 calls:

5.0ms	(+ (exp x) (exp (- x)))
25.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

series89.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp x) (exp (- x)))
65.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

simplify2.3s

Counts

53 → 53

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	111	718
1	294	683
2	936	599
3	3336	596
done	5000	596

prune128.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (* (cos y) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

97×	`sqrt-prod`
91×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`associate-r`
27×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
10×	`prod-exp` `cbrt-unprod`
9×	`pow1`
8×	`add-log-exp`
7×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
3×	`flip3-+` `associate-*r/` `pow-prod-down` `flip-+`
2×	`+-commutative` `sqrt-div` `sum-log` `div-inv` `associate-/l/`
1×	`frac-times` `sqrt-undiv` `frac-2neg` `associate-l` `associate-l/` `clear-num` `-commutative`

Counts

4 → 166

Calls

4 calls:

18.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
5.0ms	(+ (exp x) (exp (- x)))
5.0ms	(+ (exp x) (exp (- x)))
68.0ms	(* (* (cos y) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
22.0ms	(+ (exp x) (exp (- x)))
25.0ms	(+ (exp x) (exp (- x)))
145.0ms	(* (* (cos y) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)))

simplify1.2s

Counts

178 → 178

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	222	3993
1	599	3599
2	2292	3071
done	5000	2900

prune406.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
0.0b	(* (* (cos y) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

68×	`sqrt-prod`
67×	`*-un-lft-identity`
54×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-r`
15×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out`
9×	`pow1`
8×	`add-log-exp`
7×	`associate-/l*`
6×	`associate-/r*`
5×	`prod-exp` `cbrt-unprod`
4×	`sqrt-div`
3×	`flip3-+` `associate-*r/` `pow-prod-down` `flip-+`
2×	`cbrt-undiv` `+-commutative` `div-exp` `sum-log` `div-inv` `associate-/l/`
1×	`frac-times` `sqrt-undiv` `frac-2neg` `associate-l` `associate-l/` `clear-num` `-commutative`

Counts

4 → 133

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
5.0ms	(+ (exp x) (exp (- x)))
17.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
62.0ms	(* (* (cos y) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
22.0ms	(+ (exp x) (exp (- x)))
121.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
161.0ms	(* (* (cos y) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))

simplify1.1s

Counts

145 → 145

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	231	2923
1	535	2665
2	1736	2440
done	5000	2422

prune382.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) (cos y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

7.0ms	(+ (exp x) (exp (- x)))
21.0ms	(* (+ (exp x) (exp (- x))) (cos y))

series72.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp x) (exp (- x)))
49.0ms	(* (+ (exp x) (exp (- x))) (cos y))

simplify2.3s

Counts

39 → 39

Iterations

Useful iterations: 3 (314.0ms)

Iter	Nodes	Cost
0	69	455
1	175	440
2	506	384
3	1553	382
done	5002	382

prune93.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	18	23
done	18	23

end0.0ms

sample1.9s

Algorithm: halfpoints