Details

sample812.0ms

Algorithm: halfpoints

simplify948.0ms

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.8b

localize75.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.2b	(- (exp x) (exp (- x)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

53.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series210.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
74.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	1200
1	306
0	120

prune454.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize121.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.0b	(* (pow x 5) 1/60)
0.1b	(* (/ (+ (* x (+ (* 1/3 (* x x)) 2)) (* (pow x 5) 1/60)) 2.0) (sin y))
0.2b	(* 1/3 (* x x))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`associate-l`
21×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
13×	`pow1`
10×	`times-frac` `associate-r`
9×	`prod-exp`
7×	`cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `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 → 98

Calls

4 calls:

61.0ms	(* x (+ (* 1/3 (* x x)) 2))
9.0ms	(* (pow x 5) 1/60)
86.0ms	(* (/ (+ (* x (+ (* 1/3 (* x x)) 2)) (* (pow x 5) 1/60)) 2.0) (sin y))
21.0ms	(* 1/3 (* x x))

series389.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* x (+ (* 1/3 (* x x)) 2))
77.0ms	(* (pow x 5) 1/60)
129.0ms	(* (/ (+ (* x (+ (* 1/3 (* x x)) 2)) (* (pow x 5) 1/60)) 2.0) (sin y))
29.0ms	(* 1/3 (* x x))

simplify1.9s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	3055
1	547
0	193

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow x 5) 1/60)
0.1b	(* (/ (+ (* x (+ (log (exp (* 1/3 (* x x)))) 2)) (* (pow x 5) 1/60)) 2.0) (sin y))
0.2b	(* 1/3 (* x x))
31.1b	(log (exp (* 1/3 (* x x))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`associate-l`
19×	`add-exp-log`
17×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube`
12×	`pow1`
10×	`times-frac`
8×	`prod-exp`
7×	`associate-r`
6×	`cbrt-unprod` `unswap-sqr`
5×	`add-log-exp`
4×	`unpow-prod-down` `pow-prod-down`
3×	`log-prod` `log-pow` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `exp-prod` `exp-to-pow` `div-exp` `rem-log-exp` `associate-*l/` `pow-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

9.0ms	(* (pow x 5) 1/60)
60.0ms	(* (/ (+ (* x (+ (log (exp (* 1/3 (* x x)))) 2)) (* (pow x 5) 1/60)) 2.0) (sin y))
26.0ms	(* 1/3 (* x x))
7.0ms	(log (exp (* 1/3 (* x x))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (pow x 5) 1/60)
123.0ms	(* (/ (+ (* x (+ (log (exp (* 1/3 (* x x)))) 2)) (* (pow x 5) 1/60)) 2.0) (sin y))
35.0ms	(* 1/3 (* x x))
38.0ms	(log (exp (* 1/3 (* x x))))

simplify1.6s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2282
1	431
0	176

prune899.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(/ 2.0 (sin y))
0.2b	(* 1/3 (* x x))
0.2b	(/ (+ (* 1/60 (pow x 5)) (* (+ 2 (* 1/3 (* x x))) x)) (/ 2.0 (sin y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
64×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`associate-/r*`
9×	`pow1`
8×	`associate-r`
6×	`associate-l` `prod-exp` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `unpow-prod-down` `div-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`clear-num` `frac-2neg` `*-commutative` `sqr-pow` `associate-/l/`
1×	`pow-to-exp` `flip3-+` `pow-exp` `associate-/r/` `flip-+`

Counts

4 → 143

Calls

4 calls:

18.0ms	(* 1/60 (pow x 5))
14.0ms	(/ 2.0 (sin y))
14.0ms	(* 1/3 (* x x))
41.0ms	(/ (+ (* 1/60 (pow x 5)) (* (+ 2 (* 1/3 (* x x))) x)) (/ 2.0 (sin y)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* 1/60 (pow x 5))
33.0ms	(/ 2.0 (sin y))
42.0ms	(* 1/3 (* x x))
153.0ms	(/ (+ (* 1/60 (pow x 5)) (* (+ 2 (* 1/3 (* x x))) x)) (/ 2.0 (sin y)))

simplify2.3s

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
2	3886
1	702
0	267

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	36
1	36
0	28

end0.0ms

sample13.4s

Algorithm: halfpoints