Details

sample453.0ms

Algorithm: halfpoints

simplify11.1s

Counts

1 → 1

Iterations

Iter	Nodes
9	2619
8	1786
7	1075
6	423
5	176
4	112
3	78
2	46
1	30
0	16

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize116.0ms

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))
57.5b	(- (exp x) (exp (- x)))

rewrite144.0ms

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:

19.0ms	(+ (exp x) (exp (- x)))
74.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
37.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (exp x) (exp (- x)))
75.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
87.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
71.0ms	(- (exp x) (exp (- x)))

simplify2.1s

Counts

115 → 115

Iterations

Iter	Nodes
3	4948
2	1643
1	513
0	200

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize162.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 x))
0.2b	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
0.3b	(* 1/3 x)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`associate-l`
21×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
14×	`associate-r`
13×	`pow1`
10×	`times-frac`
9×	`prod-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `div-exp` `associate-*l/` `pow-exp` `div-inv`

Counts

4 → 97

Calls

4 calls:

8.0ms	(* 1/60 (pow x 5))
23.0ms	(* x (* 1/3 x))
50.0ms	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
5.0ms	(* 1/3 x)

series255.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* 1/60 (pow x 5))
50.0ms	(* x (* 1/3 x))
94.0ms	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
19.0ms	(* 1/3 x)

simplify2.4s

Counts

109 → 109

Iterations

Iter	Nodes
3	4805
2	1245
1	398
0	172

prune2.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (sqrt 2)) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
0.3b	(* 1/3 x)
0.4b	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
1.0b	(/ 1 (sqrt 2))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
51×	`add-sqr-sqrt` `add-exp-log`
49×	`*-un-lft-identity` `add-cube-cbrt`
33×	`sqrt-prod`
31×	`add-cbrt-cube`
25×	`associate-l`
21×	`prod-exp`
13×	`pow1` `div-exp`
12×	`associate-/r*`
11×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`associate-*l/` `div-inv` `pow-flip`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

59.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
10.0ms	(* 1/3 x)
38.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
5.0ms	(/ 1 (sqrt 2))

series398.0ms

Counts

4 → 10

Calls

4 calls:

243.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
17.0ms	(* 1/3 x)
138.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
0.0ms	(/ 1 (sqrt 2))

simplify830.0ms

Counts

172 → 172

Iterations

Iter	Nodes
2	2088
1	621
0	245

prune3.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize162.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.4b	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
1.0b	(/ 1 (sqrt (sqrt 2)))
1.0b	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

606×	`sqrt-prod`
594×	`times-frac`
331×	`add-sqr-sqrt`
329×	`*-un-lft-identity` `add-cube-cbrt`
37×	`associate-/l*`
24×	`associate-/r*`
21×	`add-exp-log`
20×	`pow1` `sqrt-pow1`
15×	`add-cbrt-cube`
14×	`pow-flip`
13×	`div-inv`
10×	`pow1/2` `pow-div`
9×	`div-exp`
5×	`cbrt-undiv`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l` `associate-/l/`
2×	`rec-exp` `1-exp` `inv-pow`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 468

Calls

4 calls:

8.0ms	(* 1/3 x)
45.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
11.0ms	(/ 1 (sqrt (sqrt 2)))
18.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series191.0ms

Counts

4 → 8

Calls

4 calls:

17.0ms	(* 1/3 x)
174.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
0.0ms	(/ 1 (sqrt (sqrt 2)))
0.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify3.3s

Counts

476 → 476

Iterations

Iter	Nodes
2	2327
1	1102
0	487

prune11.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes294.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	34
1	34
0	25

end0.0ms

sample12.3s

Algorithm: halfpoints