Details

sample235.0ms

Algorithm: halfpoints

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	117	11
5	188	11
6	331	11
7	556	11
8	1000	11
9	1366	11
10	1686	11
11	1768	11
12	1790	11
done	1790	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.5b	(- (exp x) (exp (- x)))

rewrite174.0ms

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-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `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` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 99

Calls

4 calls:

13.0ms	(+ (exp x) (exp (- x)))
54.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
71.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
33.0ms	(- (exp x) (exp (- x)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
66.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
89.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify2.7s

Counts

111 → 111

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	200	1479
1	499	1449
2	1382	1277
3	4291	1273
done	5000	1273

prune542.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (cbrt (pow (+ (exp x) (exp (- x))) 3)) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.0b	(pow (+ (exp x) (exp (- x))) 3)
15.5b	(- (exp x) (exp (- x)))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
74×	`associate-l`
72×	`*-un-lft-identity` `times-frac`
48×	`add-cube-cbrt`
46×	`cbrt-prod`
17×	`unpow-prod-down` `cube-prod`
15×	`add-exp-log`
14×	`add-cbrt-cube`
9×	`pow1`
8×	`distribute-lft-out` `unswap-sqr`
6×	`associate-r` `add-log-exp`
5×	`sqr-pow`
4×	`cube-mult` `unpow3` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow`
2×	`cbrt-undiv` `cube-div` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `diff-log` `pow-exp` `flip--` `flip-+` `rem-cube-cbrt`

Counts

4 → 157

Calls

4 calls:

120.0ms	(* (/ (cbrt (pow (+ (exp x) (exp (- x))) 3)) 2.0) (cos y))
70.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.0ms	(pow (+ (exp x) (exp (- x))) 3)
14.0ms	(- (exp x) (exp (- x)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (/ (cbrt (pow (+ (exp x) (exp (- x))) 3)) 2.0) (cos y))
125.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.0ms	(pow (+ (exp x) (exp (- x))) 3)
57.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

169 → 169

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	275	2575
1	654	2254
2	1911	2083
done	5001	2081

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (exp x) (exp (- x))) 3))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.0b	(pow (+ (exp x) (exp (- x))) 3)
15.5b	(- (exp x) (exp (- x)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
14×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
7×	`pow1`
6×	`add-log-exp`
4×	`cube-div` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `associate-r`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `pow1/3` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `flip--` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 104

Calls

4 calls:

22.0ms	(cbrt (pow (+ (exp x) (exp (- x))) 3))
56.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
29.0ms	(pow (+ (exp x) (exp (- x))) 3)
14.0ms	(- (exp x) (exp (- x)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (pow (+ (exp x) (exp (- x))) 3))
128.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
91.0ms	(pow (+ (exp x) (exp (- x))) 3)
73.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

116 → 116

Iterations

Useful iterations: 2 (292.0ms)

Iter	Nodes	Cost
0	190	1633
1	452	1408
2	1267	1272
done	5000	1272

prune742.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.3b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.4b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
15.5b	(- (exp x) (exp (- x)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
19×	`associate-l`
16×	`add-cube-cbrt` `times-frac`
15×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`cbrt-prod`
6×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `associate-r` `associate-*l/` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `flip3--` `pow1/3` `diff-log` `*-commutative` `flip--` `rem-cbrt-cube` `div-inv`

Counts

4 → 95

Calls

4 calls:

104.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
40.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
40.0ms	(- (exp x) (exp (- x)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
81.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
153.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
76.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	195	1610
1	462	1464
2	1390	1308
done	5001	1304

prune606.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	38
1	27	38
done	27	38

end0.0ms

sample5.3s

Algorithm: halfpoints