Details

sample379.0ms

Algorithm: halfpoints

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3509
8	2235
7	1201
6	423
5	176
4	113
3	80
2	48
1	30
0	16

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.2b

localize91.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.1b	(- (exp x) (exp (- x)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
22×	`add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`insert-posit16` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 90

Calls

3 calls:

47.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
77.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
14.0ms	(- (exp x) (exp (- x)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
103.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
70.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1774
1	487
0	187

prune787.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize156.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`associate-l`
21×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
13×	`pow1`
12×	`associate-r`
10×	`times-frac`
9×	`prod-exp`
7×	`cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

4 → 102

Calls

4 calls:

94.0ms	(* x (+ (* (* x x) 1/3) 2))
16.0ms	(* (pow x 5) 1/60)
50.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* (* x x) 1/3) 2))) 2) (sin y))
28.0ms	(* (* x x) 1/3)

series405.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* x (+ (* (* x x) 1/3) 2))
79.0ms	(* (pow x 5) 1/60)
157.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* (* x x) 1/3) 2))) 2) (sin y))
52.0ms	(* (* x x) 1/3)

simplify1.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5004
2	1806
1	535
0	195

prune976.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize155.0ms

Local error

Found 4 expressions with local error:

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

rewrite680.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-exp-log`
25×	`add-cbrt-cube`
22×	`associate-l`
20×	`pow1`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`prod-exp`
12×	`associate-r` `cbrt-unprod`
10×	`times-frac` `pow-prod-down`
6×	`unswap-sqr`
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 → 101

Calls

4 calls:

8.0ms	(* (pow x 5) 1/60)
49.0ms	(* (* (* x x) 1/3) x)
593.0ms	(* (/ (+ (* (pow x 5) 1/60) (+ (* (* (* x x) 1/3) x) (* 2 x))) 2) (sin y))
28.0ms	(* (* x x) 1/3)

series279.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (pow x 5) 1/60)
54.0ms	(* (* (* x x) 1/3) x)
101.0ms	(* (/ (+ (* (pow x 5) 1/60) (+ (* (* (* x x) 1/3) x) (* 2 x))) 2) (sin y))
33.0ms	(* (* x x) 1/3)

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1712
1	469
0	182

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
59×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
11×	`pow1`
6×	`associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

18.0ms	(* x (* x 1/3))
4.0ms	(/ 2 (sin y))
39.0ms	(/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* x 1/3)) 2))) (/ 2 (sin y)))
8.0ms	(* x 1/3)

series253.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (* x 1/3))
26.0ms	(/ 2 (sin y))
143.0ms	(/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* x 1/3)) 2))) (/ 2 (sin y)))
26.0ms	(* x 1/3)

simplify2.0s

Counts

151 → 151

Iterations

Iter	Nodes
done	5005
2	2343
1	635
0	239

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample12.0s

Algorithm: halfpoints