Details

sample432.0ms

Algorithm: halfpoints

simplify892.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	991
5	235
4	118
3	83
2	48
1	30
0	16

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.9b

localize80.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (/ (sin y) 2.0) (- (exp x) (exp (- x))))
58.4b	(- (exp x) (exp (- x)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

74.0ms	(* (/ (sin y) 2.0) (- (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))

series199.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(* (/ (sin y) 2.0) (- (exp x) (exp (- x))))
68.0ms	(- (exp x) (exp (- x)))

simplify878.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
2	1710
1	340
0	125

prune371.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize52.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (pow x 5) 1/60)
0.1b	(* (/ (sin y) 2.0) (+ (* (pow x 5) 1/60) (+ (* 1/3 (pow x 3)) (+ x x))))
0.2b	(* 1/3 (pow x 3))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
23×	`associate-l`
18×	`-un-lft-identity` `associate-r*` `add-exp-log` `add-cube-cbrt`
12×	`add-cbrt-cube`
10×	`times-frac`
9×	`unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
5×	`pow1`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`*-commutative` `add-log-exp`
2×	`frac-times` `pow-to-exp` `flip3-+` `pow-exp` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `cube-mult` `cbrt-undiv` `distribute-lft-in` `unpow3` `div-exp` `pow-prod-down` `associate-*l/` `div-inv`

Counts

3 → 94

Calls

3 calls:

19.0ms	(* (pow x 5) 1/60)
295.0ms	(* (/ (sin y) 2.0) (+ (* (pow x 5) 1/60) (+ (* 1/3 (pow x 3)) (+ x x))))
25.0ms	(* 1/3 (pow x 3))

series400.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (pow x 5) 1/60)
272.0ms	(* (/ (sin y) 2.0) (+ (* (pow x 5) 1/60) (+ (* 1/3 (pow x 3)) (+ x x))))
60.0ms	(* 1/3 (pow x 3))

simplify1.9s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	3480
1	620
0	195

prune764.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0)))
0.3b	(* (/ 1 (sqrt 2.0)) (* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0))))
0.4b	(/ (sin y) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))

rewrite794.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
69×	`add-sqr-sqrt`
66×	`*-un-lft-identity`
61×	`add-cube-cbrt`
54×	`add-exp-log`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
27×	`associate-l`
23×	`associate-r`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
11×	`frac-times`
8×	`cbrt-undiv` `associate-*r/`
7×	`associate-*l/`
6×	`flip3-+` `flip-+` `associate-/l*`
4×	`rec-exp` `1-exp` `pow-prod-down` `div-inv` `add-log-exp`
3×	`pow-flip` `distribute-lft-out` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`sqrt-pow1` `pow1/2` `inv-pow`

Counts

4 → 194

Calls

4 calls:

374.0ms	(* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0)))
388.0ms	(* (/ 1 (sqrt 2.0)) (* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0))))
14.0ms	(/ (sin y) (sqrt 2.0))
10.0ms	(/ 1 (sqrt 2.0))

series659.0ms

Counts

4 → 10

Calls

4 calls:

235.0ms	(* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0)))
319.0ms	(* (/ 1 (sqrt 2.0)) (* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0))))
105.0ms	(/ (sin y) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify451.0ms

Counts

204 → 204

Iterations

Iter	Nodes
done	5000
1	795
0	277

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow x 3) 1/3)
0.2b	(* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0)))
0.3b	(* (pow 2.0 -1/2) (* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0))))
0.4b	(/ (sin y) (sqrt 2.0))

rewrite907.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
40×	`add-exp-log`
39×	`add-cube-cbrt`
38×	`times-frac`
26×	`associate-r`
24×	`associate-l`
22×	`add-cbrt-cube` `sqrt-prod`
20×	`prod-exp`
8×	`cbrt-unprod`
7×	`unpow-prod-down` `associate-*r/` `unswap-sqr`
6×	`pow1` `associate-/r*`
5×	`div-exp`
4×	`frac-times` `pow-to-exp` `flip3-+` `cube-prod` `associate-*l/` `pow-exp` `flip-+` `add-log-exp`
3×	`cbrt-undiv` `-commutative` `distribute-lft-out` `associate-/l` `sqr-pow`
2×	`div-inv`
1×	`cube-mult` `clear-num` `frac-2neg` `unpow3` `pow-prod-down`

Counts

4 → 151

Calls

4 calls:

18.0ms	(* (pow x 3) 1/3)
525.0ms	(* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0)))
347.0ms	(* (pow 2.0 -1/2) (* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0))))
8.0ms	(/ (sin y) (sqrt 2.0))

series771.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (pow x 3) 1/3)
253.0ms	(* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0)))
330.0ms	(* (pow 2.0 -1/2) (* (+ (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) x) x) (/ (sin y) (sqrt 2.0))))
112.0ms	(/ (sin y) (sqrt 2.0))

simplify2.7s

Counts

163 → 163

Iterations

Iter	Nodes
done	5001
2	4954
1	720
0	271

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes196.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample12.8s

Algorithm: halfpoints