Details

sample249.0ms

Algorithm: halfpoints

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5033
9	4781
8	2253
7	1221
6	423
5	178
4	114
3	80
2	48
1	30
0	16

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

16.0ms	(* (cos y) (exp x))
29.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
15.0ms	(/ (cos y) (exp x))

series195.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (cos y) (exp x))
94.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
58.0ms	(/ (cos y) (exp x))

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5002
3	2434
2	681
1	238
0	101

prune231.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
17.2b	(- (exp x) (exp (- x)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 103

Calls

4 calls:

13.0ms	(+ (exp x) (exp (- x)))
46.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
52.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
12.0ms	(- (exp x) (exp (- x)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (exp x) (exp (- x)))
79.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
109.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
55.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1811
1	516
0	200

prune713.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (cbrt (/ (+ (exp x) (exp (- x))) 2)) (cbrt (/ (+ (exp x) (exp (- x))) 2))) (* (cbrt (/ (+ (exp x) (exp (- x))) 2)) (cos y)))
0.0b	(* (cbrt (/ (+ (exp x) (exp (- x))) 2)) (cbrt (/ (+ (exp x) (exp (- x))) 2)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
17.2b	(- (exp x) (exp (- x)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
91×	`add-sqr-sqrt`
88×	`cbrt-prod`
82×	`times-frac`
54×	`add-cube-cbrt`
39×	`associate-l`
25×	`pow1` `swap-sqr`
23×	`associate-r` `add-exp-log`
18×	`distribute-lft-out`
16×	`cbrt-div`
15×	`add-cbrt-cube`
11×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`frac-times` `pow1/3` `add-log-exp`
5×	`div-inv`
4×	`associate-*r/` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `cbrt-undiv` `sub-neg` `pow-plus` `flip3--` `diff-log` `div-exp` `flip--`

Counts

4 → 178

Calls

4 calls:

142.0ms	(* (* (cbrt (/ (+ (exp x) (exp (- x))) 2)) (cbrt (/ (+ (exp x) (exp (- x))) 2))) (* (cbrt (/ (+ (exp x) (exp (- x))) 2)) (cos y)))
81.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2)) (cbrt (/ (+ (exp x) (exp (- x))) 2)))
36.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.0ms	(- (exp x) (exp (- x)))

series708.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (* (cbrt (/ (+ (exp x) (exp (- x))) 2)) (cbrt (/ (+ (exp x) (exp (- x))) 2))) (* (cbrt (/ (+ (exp x) (exp (- x))) 2)) (cos y)))
421.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2)) (cbrt (/ (+ (exp x) (exp (- x))) 2)))
111.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
51.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
2	2338
1	747
0	308

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample4.9s

Algorithm: halfpoints