Details

sample434.0ms

Algorithm: halfpoints

simplify911.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	1201
6	423
5	176
4	113
3	80
2	48
1	30
0	16

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.4b

localize93.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.4b	(- (exp x) (exp (- x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
13×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
5×	`pow1`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`associate-r` `insert-posit16`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `flip--` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

9.0ms	(+ (exp x) (exp (- x)))
38.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
22.0ms	(- (exp x) (exp (- x)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (exp x) (exp (- x)))
119.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
51.0ms	(- (exp x) (exp (- x)))

simplify645.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	2001
2	1192
1	349
0	139

prune805.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize118.0ms

Local error

Found 4 expressions with local error:

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

rewrite685.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
30×	`add-sqr-sqrt` `associate-l`
28×	`add-exp-log`
25×	`add-cbrt-cube`
20×	`pow1`
19×	`add-cube-cbrt`
16×	`times-frac`
14×	`prod-exp`
12×	`cbrt-unprod`
10×	`associate-r` `pow-prod-down`
9×	`distribute-lft-out`
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 → 107

Calls

4 calls:

8.0ms	(* (pow x 5) 1/60)
52.0ms	(* (* 1/3 (* x x)) x)
601.0ms	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) 2) (sin y))
22.0ms	(* 1/3 (* x x))

series267.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (pow x 5) 1/60)
62.0ms	(* (* 1/3 (* x x)) x)
92.0ms	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) 2) (sin y))
31.0ms	(* 1/3 (* x x))

simplify914.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	2001
2	1630
1	466
0	179

prune730.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize144.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y))
0.3b	(* (/ 1 (sqrt 2)) (* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y)))
0.4b	(/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2))
1.0b	(/ 1 (sqrt 2))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

134×	`*-un-lft-identity`
98×	`times-frac`
77×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
56×	`associate-l`
55×	`sqrt-prod`
54×	`add-exp-log`
39×	`distribute-lft-out`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv` `associate-/l*`
6×	`associate-/l/`
5×	`flip3-+` `flip-+`
4×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `frac-add` `insert-posit16` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*r/` `inv-pow`

Counts

4 → 216

Calls

4 calls:

640.0ms	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y))
555.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y)))
504.0ms	(/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2))
7.0ms	(/ 1 (sqrt 2))

series646.0ms

Counts

4 → 10

Calls

4 calls:

240.0ms	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y))
257.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y)))
148.0ms	(/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2))
0.0ms	(/ 1 (sqrt 2))

simplify858.0ms

Counts

226 → 226

Iterations

Iter	Nodes
done	2001
1	777
0	276

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y))
0.3b	(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y)))
0.4b	(/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2))
1.0b	(/ 1/2 (sqrt 2))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

135×	`*-un-lft-identity`
98×	`times-frac`
78×	`add-sqr-sqrt`
70×	`add-cube-cbrt`
59×	`associate-l`
55×	`sqrt-prod`
39×	`distribute-lft-out`
22×	`cbrt-prod` `add-exp-log`
19×	`add-cbrt-cube`
12×	`associate-/r*`
11×	`pow1`
8×	`associate-/l*`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l/`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down` `associate-*l/` `frac-add` `insert-posit16` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-div` `clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `associate-*r/`

Counts

4 → 201

Calls

4 calls:

713.0ms	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y))
450.0ms	(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y)))
588.0ms	(/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2))
4.0ms	(/ 1/2 (sqrt 2))

series1.3s

Counts

4 → 10

Calls

4 calls:

243.0ms	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y))
852.0ms	(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2)) (sin y)))
176.0ms	(/ (+ (+ (* (* 1/3 (* x x)) x) (* (pow x 5) 1/60)) (+ x x)) (sqrt 2))
0.0ms	(/ 1/2 (sqrt 2))

simplify909.0ms

Counts

211 → 211

Iterations

Iter	Nodes
done	2002
1	767
0	293

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample12.7s

Algorithm: halfpoints